23.897 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.180 * * * [progress]: [2/2] Setting up program. 0.187 * [progress]: [Phase 2 of 3] Improving. 0.187 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.188 * [simplify]: Simplifying: (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) 0.188 * * [simplify]: iteration 0: 18 enodes 0.194 * * [simplify]: iteration 1: 26 enodes 0.202 * * [simplify]: iteration 2: 36 enodes 0.210 * * [simplify]: iteration 3: 51 enodes 0.223 * * [simplify]: iteration 4: 75 enodes 0.240 * * [simplify]: iteration 5: 80 enodes 0.257 * * [simplify]: iteration 6: 215 enodes 0.432 * * [simplify]: iteration 7: 666 enodes 2.992 * * [simplify]: iteration 8: 3678 enodes 5.799 * * [simplify]: iteration complete: 5529 enodes 5.799 * * [simplify]: Extracting #0: cost 1 inf + 0 5.800 * * [simplify]: Extracting #1: cost 178 inf + 0 5.807 * * [simplify]: Extracting #2: cost 1616 inf + 1 5.813 * * [simplify]: Extracting #3: cost 1624 inf + 968 5.821 * * [simplify]: Extracting #4: cost 1495 inf + 17717 5.841 * * [simplify]: Extracting #5: cost 642 inf + 165154 5.915 * * [simplify]: Extracting #6: cost 36 inf + 302639 6.001 * * [simplify]: Extracting #7: cost 0 inf + 312888 6.066 * [simplify]: Simplified to: (/ (log (hypot re im)) (log base)) 6.071 * * [progress]: iteration 1 / 4 6.071 * * * [progress]: picking best candidate 6.078 * * * * [pick]: Picked # 6.078 * * * [progress]: localizing error 6.093 * * * [progress]: generating rewritten candidates 6.093 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.107 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 6.109 * * * [progress]: generating series expansions 6.109 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.109 * [backup-simplify]: Simplify (/ (log (hypot re im)) (log base)) into (/ (log (hypot re im)) (log base)) 6.109 * [approximate]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in (re im base) around 0 6.110 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in base 6.110 * [taylor]: Taking taylor expansion of (log (hypot re im)) in base 6.110 * [taylor]: Taking taylor expansion of (hypot re im) in base 6.110 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.110 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in base 6.110 * [taylor]: Taking taylor expansion of (* re re) in base 6.110 * [taylor]: Taking taylor expansion of re in base 6.110 * [backup-simplify]: Simplify re into re 6.110 * [taylor]: Taking taylor expansion of re in base 6.110 * [backup-simplify]: Simplify re into re 6.110 * [taylor]: Taking taylor expansion of (* im im) in base 6.110 * [taylor]: Taking taylor expansion of im in base 6.110 * [backup-simplify]: Simplify im into im 6.110 * [taylor]: Taking taylor expansion of im in base 6.110 * [backup-simplify]: Simplify im into im 6.110 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.110 * [backup-simplify]: Simplify (+ (pow re 2) (pow im 2)) into (+ (pow im 2) (pow re 2)) 6.111 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (pow re 2))) into (sqrt (+ (pow im 2) (pow re 2))) 6.111 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.111 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.111 * [backup-simplify]: Simplify (+ 0 0) into 0 6.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow im 2) (pow re 2))))) into 0 6.112 * [backup-simplify]: Simplify (log (sqrt (+ (pow im 2) (pow re 2)))) into (log (sqrt (+ (pow im 2) (pow re 2)))) 6.112 * [taylor]: Taking taylor expansion of (log base) in base 6.112 * [taylor]: Taking taylor expansion of base in base 6.112 * [backup-simplify]: Simplify 0 into 0 6.112 * [backup-simplify]: Simplify 1 into 1 6.112 * [backup-simplify]: Simplify (log 1) into 0 6.112 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 6.112 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 6.113 * [backup-simplify]: Simplify (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) into (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) 6.113 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in im 6.113 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 6.113 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.113 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.113 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.113 * [taylor]: Taking taylor expansion of (* re re) in im 6.113 * [taylor]: Taking taylor expansion of re in im 6.113 * [backup-simplify]: Simplify re into re 6.113 * [taylor]: Taking taylor expansion of re in im 6.113 * [backup-simplify]: Simplify re into re 6.113 * [taylor]: Taking taylor expansion of (* im im) in im 6.113 * [taylor]: Taking taylor expansion of im in im 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [taylor]: Taking taylor expansion of im in im 6.113 * [backup-simplify]: Simplify 0 into 0 6.113 * [backup-simplify]: Simplify 1 into 1 6.113 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.113 * [backup-simplify]: Simplify (* 0 0) into 0 6.113 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.113 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.113 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.114 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.114 * [backup-simplify]: Simplify (+ 0 0) into 0 6.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.114 * [backup-simplify]: Simplify (log re) into (log re) 6.114 * [taylor]: Taking taylor expansion of (log base) in im 6.114 * [taylor]: Taking taylor expansion of base in im 6.114 * [backup-simplify]: Simplify base into base 6.114 * [backup-simplify]: Simplify (log base) into (log base) 6.114 * [backup-simplify]: Simplify (/ (log re) (log base)) into (/ (log re) (log base)) 6.114 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in re 6.114 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 6.114 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.114 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.114 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.114 * [taylor]: Taking taylor expansion of (* re re) in re 6.115 * [taylor]: Taking taylor expansion of re in re 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.115 * [taylor]: Taking taylor expansion of re in re 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.115 * [taylor]: Taking taylor expansion of (* im im) in re 6.115 * [taylor]: Taking taylor expansion of im in re 6.115 * [backup-simplify]: Simplify im into im 6.115 * [taylor]: Taking taylor expansion of im in re 6.115 * [backup-simplify]: Simplify im into im 6.115 * [backup-simplify]: Simplify (* 0 0) into 0 6.115 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.115 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.115 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.115 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.116 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.116 * [backup-simplify]: Simplify (+ 0 0) into 0 6.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.116 * [backup-simplify]: Simplify (log im) into (log im) 6.116 * [taylor]: Taking taylor expansion of (log base) in re 6.116 * [taylor]: Taking taylor expansion of base in re 6.116 * [backup-simplify]: Simplify base into base 6.116 * [backup-simplify]: Simplify (log base) into (log base) 6.116 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 6.116 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in re 6.116 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 6.116 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.116 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.116 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.116 * [taylor]: Taking taylor expansion of (* re re) in re 6.116 * [taylor]: Taking taylor expansion of re in re 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [taylor]: Taking taylor expansion of re in re 6.116 * [backup-simplify]: Simplify 0 into 0 6.116 * [backup-simplify]: Simplify 1 into 1 6.116 * [taylor]: Taking taylor expansion of (* im im) in re 6.116 * [taylor]: Taking taylor expansion of im in re 6.116 * [backup-simplify]: Simplify im into im 6.116 * [taylor]: Taking taylor expansion of im in re 6.116 * [backup-simplify]: Simplify im into im 6.117 * [backup-simplify]: Simplify (* 0 0) into 0 6.117 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.117 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.117 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.117 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.117 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.117 * [backup-simplify]: Simplify (+ 0 0) into 0 6.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.118 * [backup-simplify]: Simplify (log im) into (log im) 6.118 * [taylor]: Taking taylor expansion of (log base) in re 6.118 * [taylor]: Taking taylor expansion of base in re 6.118 * [backup-simplify]: Simplify base into base 6.118 * [backup-simplify]: Simplify (log base) into (log base) 6.118 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 6.118 * [taylor]: Taking taylor expansion of (/ (log im) (log base)) in im 6.118 * [taylor]: Taking taylor expansion of (log im) in im 6.118 * [taylor]: Taking taylor expansion of im in im 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (log 1) into 0 6.118 * [taylor]: Taking taylor expansion of (log base) in im 6.118 * [taylor]: Taking taylor expansion of base in im 6.118 * [backup-simplify]: Simplify base into base 6.118 * [backup-simplify]: Simplify (log base) into (log base) 6.118 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 6.119 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 6.119 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 6.119 * [taylor]: Taking taylor expansion of (/ (log im) (log base)) in base 6.119 * [taylor]: Taking taylor expansion of (log im) in base 6.119 * [taylor]: Taking taylor expansion of im in base 6.119 * [backup-simplify]: Simplify im into im 6.119 * [backup-simplify]: Simplify (log im) into (log im) 6.119 * [taylor]: Taking taylor expansion of (log base) in base 6.119 * [taylor]: Taking taylor expansion of base in base 6.119 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [backup-simplify]: Simplify (log 1) into 0 6.119 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 6.120 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 6.120 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 6.120 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 6.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 6.121 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 6.121 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 6.121 * [taylor]: Taking taylor expansion of 0 in im 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [taylor]: Taking taylor expansion of 0 in base 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 6.123 * [taylor]: Taking taylor expansion of 0 in base 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 6.123 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 6.124 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.124 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 6.125 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.126 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.126 * [backup-simplify]: Simplify (+ 1 0) into 1 6.127 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.128 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 6.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 6.129 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into (* 1/2 (/ 1 (* (log base) (pow im 2)))) 6.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (log base) (pow im 2)))) in im 6.129 * [taylor]: Taking taylor expansion of 1/2 in im 6.129 * [backup-simplify]: Simplify 1/2 into 1/2 6.129 * [taylor]: Taking taylor expansion of (/ 1 (* (log base) (pow im 2))) in im 6.129 * [taylor]: Taking taylor expansion of (* (log base) (pow im 2)) in im 6.129 * [taylor]: Taking taylor expansion of (log base) in im 6.129 * [taylor]: Taking taylor expansion of base in im 6.129 * [backup-simplify]: Simplify base into base 6.129 * [backup-simplify]: Simplify (log base) into (log base) 6.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.129 * [taylor]: Taking taylor expansion of im in im 6.129 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify 1 into 1 6.129 * [backup-simplify]: Simplify (* 1 1) into 1 6.130 * [backup-simplify]: Simplify (* (log base) 1) into (log base) 6.130 * [backup-simplify]: Simplify (/ 1 (log base)) into (/ 1 (log base)) 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 6.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.132 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 6.133 * [backup-simplify]: Simplify (+ (* (log base) 0) (+ (* 0 0) (* 0 1))) into 0 6.133 * [backup-simplify]: Simplify (+ (* (log base) 0) (* 0 1)) into 0 6.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log base)) (/ 0 (log base))))) into 0 6.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into 0 6.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log base))))) into 0 6.134 * [taylor]: Taking taylor expansion of 0 in base 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [taylor]: Taking taylor expansion of 0 in base 6.134 * [backup-simplify]: Simplify 0 into 0 6.134 * [backup-simplify]: Simplify 0 into 0 6.135 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 6.137 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 6.137 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into 0 6.137 * [taylor]: Taking taylor expansion of 0 in base 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify 0 into 0 6.137 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 6.137 * [backup-simplify]: Simplify (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) into (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) 6.137 * [approximate]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in (re im base) around 0 6.137 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in base 6.137 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in base 6.137 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in base 6.137 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.137 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in base 6.137 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in base 6.137 * [taylor]: Taking taylor expansion of (/ 1 re) in base 6.137 * [taylor]: Taking taylor expansion of re in base 6.137 * [backup-simplify]: Simplify re into re 6.137 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.137 * [taylor]: Taking taylor expansion of (/ 1 re) in base 6.137 * [taylor]: Taking taylor expansion of re in base 6.137 * [backup-simplify]: Simplify re into re 6.137 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.137 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in base 6.137 * [taylor]: Taking taylor expansion of (/ 1 im) in base 6.137 * [taylor]: Taking taylor expansion of im in base 6.137 * [backup-simplify]: Simplify im into im 6.137 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.137 * [taylor]: Taking taylor expansion of (/ 1 im) in base 6.137 * [taylor]: Taking taylor expansion of im in base 6.137 * [backup-simplify]: Simplify im into im 6.138 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.138 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 6.138 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.138 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 6.138 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.138 * [backup-simplify]: Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0 6.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.138 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.139 * [backup-simplify]: Simplify (+ 0 0) into 0 6.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) into 0 6.139 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) into (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 6.139 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 6.139 * [taylor]: Taking taylor expansion of (/ 1 base) in base 6.139 * [taylor]: Taking taylor expansion of base in base 6.139 * [backup-simplify]: Simplify 0 into 0 6.139 * [backup-simplify]: Simplify 1 into 1 6.139 * [backup-simplify]: Simplify (/ 1 1) into 1 6.140 * [backup-simplify]: Simplify (log 1) into 0 6.140 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 6.140 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 6.140 * [backup-simplify]: Simplify (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log base))) into (* -1 (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (log base))) 6.140 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in im 6.140 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 6.140 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.140 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.141 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.141 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.141 * [taylor]: Taking taylor expansion of re in im 6.141 * [backup-simplify]: Simplify re into re 6.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.141 * [taylor]: Taking taylor expansion of re in im 6.141 * [backup-simplify]: Simplify re into re 6.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.141 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.141 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.141 * [taylor]: Taking taylor expansion of im in im 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 1 into 1 6.141 * [backup-simplify]: Simplify (/ 1 1) into 1 6.141 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.141 * [taylor]: Taking taylor expansion of im in im 6.141 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify 1 into 1 6.141 * [backup-simplify]: Simplify (/ 1 1) into 1 6.142 * [backup-simplify]: Simplify (* 1 1) into 1 6.142 * [backup-simplify]: Simplify (+ 0 1) into 1 6.143 * [backup-simplify]: Simplify (sqrt 1) into 1 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.145 * [backup-simplify]: Simplify (log 1) into 0 6.145 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 6.145 * [taylor]: Taking taylor expansion of (/ 1 base) in im 6.145 * [taylor]: Taking taylor expansion of base in im 6.145 * [backup-simplify]: Simplify base into base 6.145 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 6.145 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 6.145 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 6.145 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 6.145 * [backup-simplify]: Simplify (/ (- (log im)) (log (/ 1 base))) into (* -1 (/ (log im) (log (/ 1 base)))) 6.145 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in re 6.146 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 6.146 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.146 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.146 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.146 * [taylor]: Taking taylor expansion of re in re 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify (/ 1 1) into 1 6.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.146 * [taylor]: Taking taylor expansion of re in re 6.146 * [backup-simplify]: Simplify 0 into 0 6.146 * [backup-simplify]: Simplify 1 into 1 6.146 * [backup-simplify]: Simplify (/ 1 1) into 1 6.146 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.146 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.146 * [taylor]: Taking taylor expansion of im in re 6.146 * [backup-simplify]: Simplify im into im 6.146 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.146 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.146 * [taylor]: Taking taylor expansion of im in re 6.146 * [backup-simplify]: Simplify im into im 6.146 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.147 * [backup-simplify]: Simplify (* 1 1) into 1 6.147 * [backup-simplify]: Simplify (+ 1 0) into 1 6.148 * [backup-simplify]: Simplify (sqrt 1) into 1 6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.150 * [backup-simplify]: Simplify (+ 0 0) into 0 6.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.151 * [backup-simplify]: Simplify (log 1) into 0 6.151 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 6.151 * [taylor]: Taking taylor expansion of (/ 1 base) in re 6.151 * [taylor]: Taking taylor expansion of base in re 6.151 * [backup-simplify]: Simplify base into base 6.152 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 6.152 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 6.152 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 6.152 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 6.153 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ 1 base))) into (* -1 (/ (log re) (log (/ 1 base)))) 6.153 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in re 6.153 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 6.153 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.153 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.153 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.153 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.153 * [taylor]: Taking taylor expansion of re in re 6.153 * [backup-simplify]: Simplify 0 into 0 6.153 * [backup-simplify]: Simplify 1 into 1 6.158 * [backup-simplify]: Simplify (/ 1 1) into 1 6.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.158 * [taylor]: Taking taylor expansion of re in re 6.158 * [backup-simplify]: Simplify 0 into 0 6.158 * [backup-simplify]: Simplify 1 into 1 6.159 * [backup-simplify]: Simplify (/ 1 1) into 1 6.159 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.159 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.159 * [taylor]: Taking taylor expansion of im in re 6.159 * [backup-simplify]: Simplify im into im 6.159 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.159 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.159 * [taylor]: Taking taylor expansion of im in re 6.159 * [backup-simplify]: Simplify im into im 6.159 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.160 * [backup-simplify]: Simplify (* 1 1) into 1 6.160 * [backup-simplify]: Simplify (+ 1 0) into 1 6.160 * [backup-simplify]: Simplify (sqrt 1) into 1 6.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.163 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.164 * [backup-simplify]: Simplify (log 1) into 0 6.164 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 6.164 * [taylor]: Taking taylor expansion of (/ 1 base) in re 6.164 * [taylor]: Taking taylor expansion of base in re 6.164 * [backup-simplify]: Simplify base into base 6.164 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 6.164 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 6.165 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 6.165 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 6.165 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ 1 base))) into (* -1 (/ (log re) (log (/ 1 base)))) 6.165 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ 1 base)))) in im 6.165 * [taylor]: Taking taylor expansion of -1 in im 6.166 * [backup-simplify]: Simplify -1 into -1 6.166 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ 1 base))) in im 6.166 * [taylor]: Taking taylor expansion of (log re) in im 6.166 * [taylor]: Taking taylor expansion of re in im 6.166 * [backup-simplify]: Simplify re into re 6.166 * [backup-simplify]: Simplify (log re) into (log re) 6.166 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 6.166 * [taylor]: Taking taylor expansion of (/ 1 base) in im 6.166 * [taylor]: Taking taylor expansion of base in im 6.166 * [backup-simplify]: Simplify base into base 6.166 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 6.166 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 6.166 * [backup-simplify]: Simplify (/ (log re) (log (/ 1 base))) into (/ (log re) (log (/ 1 base))) 6.166 * [backup-simplify]: Simplify (* -1 (/ (log re) (log (/ 1 base)))) into (* -1 (/ (log re) (log (/ 1 base)))) 6.166 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ 1 base)))) in base 6.166 * [taylor]: Taking taylor expansion of -1 in base 6.166 * [backup-simplify]: Simplify -1 into -1 6.167 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ 1 base))) in base 6.167 * [taylor]: Taking taylor expansion of (log re) in base 6.167 * [taylor]: Taking taylor expansion of re in base 6.167 * [backup-simplify]: Simplify re into re 6.167 * [backup-simplify]: Simplify (log re) into (log re) 6.167 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 6.167 * [taylor]: Taking taylor expansion of (/ 1 base) in base 6.167 * [taylor]: Taking taylor expansion of base in base 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 1 into 1 6.167 * [backup-simplify]: Simplify (/ 1 1) into 1 6.167 * [backup-simplify]: Simplify (log 1) into 0 6.168 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 6.168 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 6.168 * [backup-simplify]: Simplify (/ (log re) (- (log base))) into (* -1 (/ (log re) (log base))) 6.168 * [backup-simplify]: Simplify (* -1 (* -1 (/ (log re) (log base)))) into (/ (log re) (log base)) 6.168 * [backup-simplify]: Simplify (/ (log re) (log base)) into (/ (log re) (log base)) 6.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 6.169 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 6.169 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (* -1 (/ (log re) (log (/ 1 base)))) (/ 0 (log (/ 1 base)))))) into 0 6.169 * [taylor]: Taking taylor expansion of 0 in im 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [taylor]: Taking taylor expansion of 0 in base 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify 0 into 0 6.170 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 6.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 6.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 6.171 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (/ (log re) (log (/ 1 base))) (/ 0 (log (/ 1 base)))))) into 0 6.171 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (log (/ 1 base))))) into 0 6.171 * [taylor]: Taking taylor expansion of 0 in base 6.171 * [backup-simplify]: Simplify 0 into 0 6.171 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 6.172 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 6.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.173 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 6.173 * [backup-simplify]: Simplify (- (/ 0 (- (log base))) (+ (* (* -1 (/ (log re) (log base))) (/ 0 (- (log base)))))) into 0 6.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* -1 (/ (log re) (log base))))) into 0 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.175 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.176 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.177 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.178 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 6.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 6.179 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 6.179 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log (/ 1 base))) (+ (* (* -1 (/ (log re) (log (/ 1 base)))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into (* 1/2 (/ 1 (* (log (/ 1 base)) (pow im 2)))) 6.179 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (log (/ 1 base)) (pow im 2)))) in im 6.179 * [taylor]: Taking taylor expansion of 1/2 in im 6.179 * [backup-simplify]: Simplify 1/2 into 1/2 6.179 * [taylor]: Taking taylor expansion of (/ 1 (* (log (/ 1 base)) (pow im 2))) in im 6.179 * [taylor]: Taking taylor expansion of (* (log (/ 1 base)) (pow im 2)) in im 6.179 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 6.179 * [taylor]: Taking taylor expansion of (/ 1 base) in im 6.179 * [taylor]: Taking taylor expansion of base in im 6.179 * [backup-simplify]: Simplify base into base 6.179 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 6.179 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 6.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.179 * [taylor]: Taking taylor expansion of im in im 6.179 * [backup-simplify]: Simplify 0 into 0 6.179 * [backup-simplify]: Simplify 1 into 1 6.180 * [backup-simplify]: Simplify (* 1 1) into 1 6.180 * [backup-simplify]: Simplify (* (log (/ 1 base)) 1) into (log (/ 1 base)) 6.180 * [backup-simplify]: Simplify (/ 1 (log (/ 1 base))) into (/ 1 (log (/ 1 base))) 6.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 6.181 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 6.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 6.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 6.183 * [backup-simplify]: Simplify (+ (* (log (/ 1 base)) 0) (+ (* 0 0) (* 0 1))) into 0 6.183 * [backup-simplify]: Simplify (+ (* (log (/ 1 base)) 0) (* 0 1)) into 0 6.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ 1 base))) (/ 0 (log (/ 1 base)))))) into 0 6.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ 1 base))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into 0 6.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log (/ 1 base)))))) into 0 6.184 * [taylor]: Taking taylor expansion of 0 in base 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [taylor]: Taking taylor expansion of 0 in base 6.184 * [backup-simplify]: Simplify 0 into 0 6.184 * [backup-simplify]: Simplify 0 into 0 6.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 6.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 6.186 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 6.186 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (/ (log re) (log (/ 1 base))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into 0 6.187 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (log re) (log (/ 1 base)))))) into 0 6.187 * [taylor]: Taking taylor expansion of 0 in base 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify 0 into 0 6.187 * [backup-simplify]: Simplify (/ (log (/ 1 re)) (log (/ 1 base))) into (/ (log (/ 1 re)) (log (/ 1 base))) 6.187 * [backup-simplify]: Simplify (/ (log (hypot (/ 1 (- re)) (/ 1 (- im)))) (log (/ 1 (- base)))) into (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) 6.187 * [approximate]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in (re im base) around 0 6.187 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in base 6.187 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in base 6.187 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in base 6.187 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.187 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in base 6.187 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in base 6.187 * [taylor]: Taking taylor expansion of (/ -1 re) in base 6.187 * [taylor]: Taking taylor expansion of -1 in base 6.187 * [backup-simplify]: Simplify -1 into -1 6.187 * [taylor]: Taking taylor expansion of re in base 6.187 * [backup-simplify]: Simplify re into re 6.187 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.187 * [taylor]: Taking taylor expansion of (/ -1 re) in base 6.187 * [taylor]: Taking taylor expansion of -1 in base 6.187 * [backup-simplify]: Simplify -1 into -1 6.187 * [taylor]: Taking taylor expansion of re in base 6.187 * [backup-simplify]: Simplify re into re 6.187 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.187 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in base 6.188 * [taylor]: Taking taylor expansion of (/ -1 im) in base 6.188 * [taylor]: Taking taylor expansion of -1 in base 6.188 * [backup-simplify]: Simplify -1 into -1 6.188 * [taylor]: Taking taylor expansion of im in base 6.188 * [backup-simplify]: Simplify im into im 6.188 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.188 * [taylor]: Taking taylor expansion of (/ -1 im) in base 6.188 * [taylor]: Taking taylor expansion of -1 in base 6.188 * [backup-simplify]: Simplify -1 into -1 6.188 * [taylor]: Taking taylor expansion of im in base 6.188 * [backup-simplify]: Simplify im into im 6.188 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.188 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 6.188 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.188 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 6.188 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.188 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 6.188 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0 6.188 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.188 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.189 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.189 * [backup-simplify]: Simplify (+ 0 0) into 0 6.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) into 0 6.189 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) into (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 6.189 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 6.189 * [taylor]: Taking taylor expansion of (/ -1 base) in base 6.189 * [taylor]: Taking taylor expansion of -1 in base 6.189 * [backup-simplify]: Simplify -1 into -1 6.189 * [taylor]: Taking taylor expansion of base in base 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (/ -1 1) into -1 6.190 * [backup-simplify]: Simplify (log -1) into (log -1) 6.190 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 6.191 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 6.191 * [backup-simplify]: Simplify (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log -1) (log base))) into (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log -1) (log base))) 6.191 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in im 6.191 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 6.191 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.191 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.191 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.191 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.191 * [taylor]: Taking taylor expansion of -1 in im 6.191 * [backup-simplify]: Simplify -1 into -1 6.191 * [taylor]: Taking taylor expansion of re in im 6.191 * [backup-simplify]: Simplify re into re 6.192 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.192 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.192 * [taylor]: Taking taylor expansion of -1 in im 6.192 * [backup-simplify]: Simplify -1 into -1 6.192 * [taylor]: Taking taylor expansion of re in im 6.192 * [backup-simplify]: Simplify re into re 6.192 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.192 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.192 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.192 * [taylor]: Taking taylor expansion of -1 in im 6.192 * [backup-simplify]: Simplify -1 into -1 6.192 * [taylor]: Taking taylor expansion of im in im 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 1 into 1 6.192 * [backup-simplify]: Simplify (/ -1 1) into -1 6.192 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.192 * [taylor]: Taking taylor expansion of -1 in im 6.192 * [backup-simplify]: Simplify -1 into -1 6.192 * [taylor]: Taking taylor expansion of im in im 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify 1 into 1 6.192 * [backup-simplify]: Simplify (/ -1 1) into -1 6.193 * [backup-simplify]: Simplify (* -1 -1) into 1 6.193 * [backup-simplify]: Simplify (+ 0 1) into 1 6.193 * [backup-simplify]: Simplify (sqrt 1) into 1 6.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.195 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.195 * [backup-simplify]: Simplify (+ 0 0) into 0 6.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.195 * [backup-simplify]: Simplify (log 1) into 0 6.196 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 6.196 * [taylor]: Taking taylor expansion of (/ -1 base) in im 6.196 * [taylor]: Taking taylor expansion of -1 in im 6.196 * [backup-simplify]: Simplify -1 into -1 6.196 * [taylor]: Taking taylor expansion of base in im 6.196 * [backup-simplify]: Simplify base into base 6.196 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 6.196 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 6.196 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 6.196 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 6.196 * [backup-simplify]: Simplify (/ (- (log im)) (log (/ -1 base))) into (* -1 (/ (log im) (log (/ -1 base)))) 6.196 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in re 6.196 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 6.196 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.197 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.197 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.197 * [taylor]: Taking taylor expansion of -1 in re 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [taylor]: Taking taylor expansion of re in re 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ -1 1) into -1 6.197 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.197 * [taylor]: Taking taylor expansion of -1 in re 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [taylor]: Taking taylor expansion of re in re 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.197 * [backup-simplify]: Simplify (/ -1 1) into -1 6.197 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.197 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.197 * [taylor]: Taking taylor expansion of -1 in re 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [taylor]: Taking taylor expansion of im in re 6.197 * [backup-simplify]: Simplify im into im 6.197 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.197 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.198 * [taylor]: Taking taylor expansion of -1 in re 6.198 * [backup-simplify]: Simplify -1 into -1 6.198 * [taylor]: Taking taylor expansion of im in re 6.198 * [backup-simplify]: Simplify im into im 6.198 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.198 * [backup-simplify]: Simplify (* -1 -1) into 1 6.198 * [backup-simplify]: Simplify (+ 1 0) into 1 6.198 * [backup-simplify]: Simplify (sqrt 1) into 1 6.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.200 * [backup-simplify]: Simplify (+ 0 0) into 0 6.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.201 * [backup-simplify]: Simplify (log 1) into 0 6.201 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 6.201 * [taylor]: Taking taylor expansion of (/ -1 base) in re 6.201 * [taylor]: Taking taylor expansion of -1 in re 6.201 * [backup-simplify]: Simplify -1 into -1 6.201 * [taylor]: Taking taylor expansion of base in re 6.201 * [backup-simplify]: Simplify base into base 6.201 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 6.201 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 6.201 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 6.202 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 6.202 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ -1 base))) into (* -1 (/ (log re) (log (/ -1 base)))) 6.202 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in re 6.202 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 6.202 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.202 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.202 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.202 * [taylor]: Taking taylor expansion of -1 in re 6.202 * [backup-simplify]: Simplify -1 into -1 6.202 * [taylor]: Taking taylor expansion of re in re 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.202 * [backup-simplify]: Simplify (/ -1 1) into -1 6.202 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.202 * [taylor]: Taking taylor expansion of -1 in re 6.202 * [backup-simplify]: Simplify -1 into -1 6.202 * [taylor]: Taking taylor expansion of re in re 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (/ -1 1) into -1 6.203 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.203 * [taylor]: Taking taylor expansion of -1 in re 6.203 * [backup-simplify]: Simplify -1 into -1 6.203 * [taylor]: Taking taylor expansion of im in re 6.203 * [backup-simplify]: Simplify im into im 6.203 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.203 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.203 * [taylor]: Taking taylor expansion of -1 in re 6.203 * [backup-simplify]: Simplify -1 into -1 6.203 * [taylor]: Taking taylor expansion of im in re 6.203 * [backup-simplify]: Simplify im into im 6.203 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.203 * [backup-simplify]: Simplify (* -1 -1) into 1 6.203 * [backup-simplify]: Simplify (+ 1 0) into 1 6.204 * [backup-simplify]: Simplify (sqrt 1) into 1 6.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.205 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.205 * [backup-simplify]: Simplify (+ 0 0) into 0 6.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.206 * [backup-simplify]: Simplify (log 1) into 0 6.206 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 6.206 * [taylor]: Taking taylor expansion of (/ -1 base) in re 6.206 * [taylor]: Taking taylor expansion of -1 in re 6.206 * [backup-simplify]: Simplify -1 into -1 6.206 * [taylor]: Taking taylor expansion of base in re 6.206 * [backup-simplify]: Simplify base into base 6.206 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 6.206 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 6.206 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 6.207 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 6.207 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ -1 base))) into (* -1 (/ (log re) (log (/ -1 base)))) 6.207 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ -1 base)))) in im 6.207 * [taylor]: Taking taylor expansion of -1 in im 6.207 * [backup-simplify]: Simplify -1 into -1 6.207 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ -1 base))) in im 6.207 * [taylor]: Taking taylor expansion of (log re) in im 6.207 * [taylor]: Taking taylor expansion of re in im 6.207 * [backup-simplify]: Simplify re into re 6.207 * [backup-simplify]: Simplify (log re) into (log re) 6.207 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 6.207 * [taylor]: Taking taylor expansion of (/ -1 base) in im 6.207 * [taylor]: Taking taylor expansion of -1 in im 6.207 * [backup-simplify]: Simplify -1 into -1 6.207 * [taylor]: Taking taylor expansion of base in im 6.207 * [backup-simplify]: Simplify base into base 6.207 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 6.207 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 6.207 * [backup-simplify]: Simplify (/ (log re) (log (/ -1 base))) into (/ (log re) (log (/ -1 base))) 6.207 * [backup-simplify]: Simplify (* -1 (/ (log re) (log (/ -1 base)))) into (* -1 (/ (log re) (log (/ -1 base)))) 6.207 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ -1 base)))) in base 6.207 * [taylor]: Taking taylor expansion of -1 in base 6.207 * [backup-simplify]: Simplify -1 into -1 6.207 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ -1 base))) in base 6.207 * [taylor]: Taking taylor expansion of (log re) in base 6.207 * [taylor]: Taking taylor expansion of re in base 6.208 * [backup-simplify]: Simplify re into re 6.208 * [backup-simplify]: Simplify (log re) into (log re) 6.208 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 6.208 * [taylor]: Taking taylor expansion of (/ -1 base) in base 6.208 * [taylor]: Taking taylor expansion of -1 in base 6.208 * [backup-simplify]: Simplify -1 into -1 6.208 * [taylor]: Taking taylor expansion of base in base 6.208 * [backup-simplify]: Simplify 0 into 0 6.208 * [backup-simplify]: Simplify 1 into 1 6.208 * [backup-simplify]: Simplify (/ -1 1) into -1 6.208 * [backup-simplify]: Simplify (log -1) into (log -1) 6.209 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 6.209 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 6.210 * [backup-simplify]: Simplify (/ (log re) (- (log -1) (log base))) into (/ (log re) (- (log -1) (log base))) 6.210 * [backup-simplify]: Simplify (* -1 (/ (log re) (- (log -1) (log base)))) into (* -1 (/ (log re) (- (log -1) (log base)))) 6.210 * [backup-simplify]: Simplify (* -1 (/ (log re) (- (log -1) (log base)))) into (* -1 (/ (log re) (- (log -1) (log base)))) 6.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 6.211 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 6.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 6.212 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (* -1 (/ (log re) (log (/ -1 base)))) (/ 0 (log (/ -1 base)))))) into 0 6.212 * [taylor]: Taking taylor expansion of 0 in im 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [taylor]: Taking taylor expansion of 0 in base 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify 0 into 0 6.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 6.212 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 6.213 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 6.213 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (/ (log re) (log (/ -1 base))) (/ 0 (log (/ -1 base)))))) into 0 6.213 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (log (/ -1 base))))) into 0 6.213 * [taylor]: Taking taylor expansion of 0 in base 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 6.214 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 6.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.216 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 6.216 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 6.217 * [backup-simplify]: Simplify (- (/ 0 (- (log -1) (log base))) (+ (* (/ (log re) (- (log -1) (log base))) (/ 0 (- (log -1) (log base)))))) into 0 6.217 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (- (log -1) (log base))))) into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.219 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.219 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.220 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 6.221 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 6.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 6.223 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log (/ -1 base))) (+ (* (* -1 (/ (log re) (log (/ -1 base)))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into (* 1/2 (/ 1 (* (pow im 2) (log (/ -1 base))))) 6.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow im 2) (log (/ -1 base))))) in im 6.223 * [taylor]: Taking taylor expansion of 1/2 in im 6.223 * [backup-simplify]: Simplify 1/2 into 1/2 6.223 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (log (/ -1 base)))) in im 6.223 * [taylor]: Taking taylor expansion of (* (pow im 2) (log (/ -1 base))) in im 6.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.223 * [taylor]: Taking taylor expansion of im in im 6.223 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify 1 into 1 6.223 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 6.223 * [taylor]: Taking taylor expansion of (/ -1 base) in im 6.223 * [taylor]: Taking taylor expansion of -1 in im 6.223 * [backup-simplify]: Simplify -1 into -1 6.223 * [taylor]: Taking taylor expansion of base in im 6.223 * [backup-simplify]: Simplify base into base 6.223 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 6.223 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 6.223 * [backup-simplify]: Simplify (* 1 1) into 1 6.223 * [backup-simplify]: Simplify (* 1 (log (/ -1 base))) into (log (/ -1 base)) 6.223 * [backup-simplify]: Simplify (/ 1 (log (/ -1 base))) into (/ 1 (log (/ -1 base))) 6.224 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 6.224 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 6.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 6.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (/ -1 base))))) into 0 6.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (/ -1 base)))) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ -1 base))) (/ 0 (log (/ -1 base)))))) into 0 6.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ -1 base))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into 0 6.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log (/ -1 base)))))) into 0 6.228 * [taylor]: Taking taylor expansion of 0 in base 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [taylor]: Taking taylor expansion of 0 in base 6.228 * [backup-simplify]: Simplify 0 into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 6.229 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 6.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 6.230 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (/ (log re) (log (/ -1 base))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into 0 6.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (log re) (log (/ -1 base)))))) into 0 6.231 * [taylor]: Taking taylor expansion of 0 in base 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify (* -1 (/ (log (/ 1 (- re))) (- (log -1) (log (/ 1 (- base)))))) into (* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))) 6.231 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 6.231 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 6.231 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 6.231 * [taylor]: Taking taylor expansion of (hypot re im) in im 6.231 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.232 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 6.232 * [taylor]: Taking taylor expansion of (* re re) in im 6.232 * [taylor]: Taking taylor expansion of re in im 6.232 * [backup-simplify]: Simplify re into re 6.232 * [taylor]: Taking taylor expansion of re in im 6.232 * [backup-simplify]: Simplify re into re 6.232 * [taylor]: Taking taylor expansion of (* im im) in im 6.232 * [taylor]: Taking taylor expansion of im in im 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [taylor]: Taking taylor expansion of im in im 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.232 * [backup-simplify]: Simplify (* 0 0) into 0 6.232 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.232 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.232 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.233 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.233 * [backup-simplify]: Simplify (+ 0 0) into 0 6.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.233 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.233 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.233 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.233 * [taylor]: Taking taylor expansion of (* re re) in re 6.233 * [taylor]: Taking taylor expansion of re in re 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify 1 into 1 6.233 * [taylor]: Taking taylor expansion of re in re 6.233 * [backup-simplify]: Simplify 0 into 0 6.233 * [backup-simplify]: Simplify 1 into 1 6.233 * [taylor]: Taking taylor expansion of (* im im) in re 6.233 * [taylor]: Taking taylor expansion of im in re 6.233 * [backup-simplify]: Simplify im into im 6.233 * [taylor]: Taking taylor expansion of im in re 6.233 * [backup-simplify]: Simplify im into im 6.233 * [backup-simplify]: Simplify (* 0 0) into 0 6.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.234 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.234 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.234 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.234 * [taylor]: Taking taylor expansion of (hypot re im) in re 6.234 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 6.234 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 6.234 * [taylor]: Taking taylor expansion of (* re re) in re 6.235 * [taylor]: Taking taylor expansion of re in re 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 1 into 1 6.235 * [taylor]: Taking taylor expansion of re in re 6.235 * [backup-simplify]: Simplify 0 into 0 6.235 * [backup-simplify]: Simplify 1 into 1 6.235 * [taylor]: Taking taylor expansion of (* im im) in re 6.235 * [taylor]: Taking taylor expansion of im in re 6.235 * [backup-simplify]: Simplify im into im 6.235 * [taylor]: Taking taylor expansion of im in re 6.235 * [backup-simplify]: Simplify im into im 6.235 * [backup-simplify]: Simplify (* 0 0) into 0 6.235 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.235 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.235 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.236 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 6.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.236 * [backup-simplify]: Simplify (+ 0 0) into 0 6.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.236 * [taylor]: Taking taylor expansion of im in im 6.236 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify 1 into 1 6.236 * [backup-simplify]: Simplify 0 into 0 6.236 * [taylor]: Taking taylor expansion of 0 in im 6.236 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify 0 into 0 6.236 * [backup-simplify]: Simplify 1 into 1 6.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 6.237 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.237 * [backup-simplify]: Simplify (+ 1 0) into 1 6.238 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.238 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.238 * [taylor]: Taking taylor expansion of 1/2 in im 6.238 * [backup-simplify]: Simplify 1/2 into 1/2 6.238 * [taylor]: Taking taylor expansion of im in im 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify 1 into 1 6.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 6.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.240 * [backup-simplify]: Simplify (+ 0 0) into 0 6.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.240 * [taylor]: Taking taylor expansion of 0 in im 6.240 * [backup-simplify]: Simplify 0 into 0 6.240 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.241 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 6.241 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 6.241 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 6.241 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.241 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 6.241 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 6.241 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.241 * [taylor]: Taking taylor expansion of re in im 6.241 * [backup-simplify]: Simplify re into re 6.241 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.241 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.241 * [taylor]: Taking taylor expansion of re in im 6.241 * [backup-simplify]: Simplify re into re 6.241 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.241 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 6.241 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.241 * [taylor]: Taking taylor expansion of im in im 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.241 * [backup-simplify]: Simplify (/ 1 1) into 1 6.241 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.241 * [taylor]: Taking taylor expansion of im in im 6.241 * [backup-simplify]: Simplify 0 into 0 6.241 * [backup-simplify]: Simplify 1 into 1 6.242 * [backup-simplify]: Simplify (/ 1 1) into 1 6.242 * [backup-simplify]: Simplify (* 1 1) into 1 6.242 * [backup-simplify]: Simplify (+ 0 1) into 1 6.242 * [backup-simplify]: Simplify (sqrt 1) into 1 6.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.244 * [backup-simplify]: Simplify (+ 0 0) into 0 6.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.244 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.244 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.244 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.245 * [taylor]: Taking taylor expansion of re in re 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (/ 1 1) into 1 6.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.245 * [taylor]: Taking taylor expansion of re in re 6.245 * [backup-simplify]: Simplify 0 into 0 6.245 * [backup-simplify]: Simplify 1 into 1 6.245 * [backup-simplify]: Simplify (/ 1 1) into 1 6.245 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.245 * [taylor]: Taking taylor expansion of im in re 6.245 * [backup-simplify]: Simplify im into im 6.245 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.245 * [taylor]: Taking taylor expansion of im in re 6.245 * [backup-simplify]: Simplify im into im 6.245 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.245 * [backup-simplify]: Simplify (* 1 1) into 1 6.246 * [backup-simplify]: Simplify (+ 1 0) into 1 6.246 * [backup-simplify]: Simplify (sqrt 1) into 1 6.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.248 * [backup-simplify]: Simplify (+ 0 0) into 0 6.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.249 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 6.249 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 6.249 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 6.249 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 6.249 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.249 * [taylor]: Taking taylor expansion of re in re 6.249 * [backup-simplify]: Simplify 0 into 0 6.249 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (/ 1 1) into 1 6.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.250 * [taylor]: Taking taylor expansion of re in re 6.250 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify 1 into 1 6.250 * [backup-simplify]: Simplify (/ 1 1) into 1 6.250 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 6.250 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.250 * [taylor]: Taking taylor expansion of im in re 6.250 * [backup-simplify]: Simplify im into im 6.250 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.250 * [taylor]: Taking taylor expansion of (/ 1 im) in re 6.251 * [taylor]: Taking taylor expansion of im in re 6.251 * [backup-simplify]: Simplify im into im 6.251 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.253 * [backup-simplify]: Simplify (* 1 1) into 1 6.254 * [backup-simplify]: Simplify (+ 1 0) into 1 6.255 * [backup-simplify]: Simplify (sqrt 1) into 1 6.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.257 * [backup-simplify]: Simplify (+ 0 0) into 0 6.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.258 * [taylor]: Taking taylor expansion of 1 in im 6.258 * [backup-simplify]: Simplify 1 into 1 6.258 * [taylor]: Taking taylor expansion of 0 in im 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.261 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 6.261 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.263 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.263 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.263 * [taylor]: Taking taylor expansion of 1/2 in im 6.263 * [backup-simplify]: Simplify 1/2 into 1/2 6.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.263 * [taylor]: Taking taylor expansion of im in im 6.263 * [backup-simplify]: Simplify 0 into 0 6.263 * [backup-simplify]: Simplify 1 into 1 6.263 * [backup-simplify]: Simplify (* 1 1) into 1 6.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.264 * [backup-simplify]: Simplify 0 into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 6.266 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 6.267 * [backup-simplify]: Simplify (+ 0 0) into 0 6.267 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.267 * [taylor]: Taking taylor expansion of 0 in im 6.267 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify 0 into 0 6.268 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.268 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 6.268 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 6.268 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 6.268 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.269 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 6.269 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 6.269 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.269 * [taylor]: Taking taylor expansion of -1 in im 6.269 * [backup-simplify]: Simplify -1 into -1 6.269 * [taylor]: Taking taylor expansion of re in im 6.269 * [backup-simplify]: Simplify re into re 6.269 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.269 * [taylor]: Taking taylor expansion of (/ -1 re) in im 6.269 * [taylor]: Taking taylor expansion of -1 in im 6.269 * [backup-simplify]: Simplify -1 into -1 6.269 * [taylor]: Taking taylor expansion of re in im 6.269 * [backup-simplify]: Simplify re into re 6.269 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 6.269 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 6.269 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.269 * [taylor]: Taking taylor expansion of -1 in im 6.269 * [backup-simplify]: Simplify -1 into -1 6.269 * [taylor]: Taking taylor expansion of im in im 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (/ -1 1) into -1 6.269 * [taylor]: Taking taylor expansion of (/ -1 im) in im 6.269 * [taylor]: Taking taylor expansion of -1 in im 6.269 * [backup-simplify]: Simplify -1 into -1 6.269 * [taylor]: Taking taylor expansion of im in im 6.269 * [backup-simplify]: Simplify 0 into 0 6.269 * [backup-simplify]: Simplify 1 into 1 6.269 * [backup-simplify]: Simplify (/ -1 1) into -1 6.270 * [backup-simplify]: Simplify (* -1 -1) into 1 6.270 * [backup-simplify]: Simplify (+ 0 1) into 1 6.270 * [backup-simplify]: Simplify (sqrt 1) into 1 6.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.272 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.272 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.272 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.272 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.272 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.272 * [taylor]: Taking taylor expansion of -1 in re 6.272 * [backup-simplify]: Simplify -1 into -1 6.272 * [taylor]: Taking taylor expansion of re in re 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify (/ -1 1) into -1 6.273 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.273 * [taylor]: Taking taylor expansion of -1 in re 6.273 * [backup-simplify]: Simplify -1 into -1 6.273 * [taylor]: Taking taylor expansion of re in re 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify (/ -1 1) into -1 6.273 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.273 * [taylor]: Taking taylor expansion of -1 in re 6.273 * [backup-simplify]: Simplify -1 into -1 6.273 * [taylor]: Taking taylor expansion of im in re 6.273 * [backup-simplify]: Simplify im into im 6.273 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.273 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.273 * [taylor]: Taking taylor expansion of -1 in re 6.273 * [backup-simplify]: Simplify -1 into -1 6.273 * [taylor]: Taking taylor expansion of im in re 6.273 * [backup-simplify]: Simplify im into im 6.273 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.274 * [backup-simplify]: Simplify (* -1 -1) into 1 6.274 * [backup-simplify]: Simplify (+ 1 0) into 1 6.274 * [backup-simplify]: Simplify (sqrt 1) into 1 6.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.275 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.276 * [backup-simplify]: Simplify (+ 0 0) into 0 6.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.276 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 6.276 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 6.276 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 6.276 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 6.276 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.276 * [taylor]: Taking taylor expansion of -1 in re 6.276 * [backup-simplify]: Simplify -1 into -1 6.276 * [taylor]: Taking taylor expansion of re in re 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (/ -1 1) into -1 6.277 * [taylor]: Taking taylor expansion of (/ -1 re) in re 6.277 * [taylor]: Taking taylor expansion of -1 in re 6.277 * [backup-simplify]: Simplify -1 into -1 6.277 * [taylor]: Taking taylor expansion of re in re 6.277 * [backup-simplify]: Simplify 0 into 0 6.277 * [backup-simplify]: Simplify 1 into 1 6.277 * [backup-simplify]: Simplify (/ -1 1) into -1 6.277 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 6.277 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.277 * [taylor]: Taking taylor expansion of -1 in re 6.277 * [backup-simplify]: Simplify -1 into -1 6.277 * [taylor]: Taking taylor expansion of im in re 6.277 * [backup-simplify]: Simplify im into im 6.277 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.277 * [taylor]: Taking taylor expansion of (/ -1 im) in re 6.277 * [taylor]: Taking taylor expansion of -1 in re 6.277 * [backup-simplify]: Simplify -1 into -1 6.277 * [taylor]: Taking taylor expansion of im in re 6.277 * [backup-simplify]: Simplify im into im 6.277 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 6.278 * [backup-simplify]: Simplify (* -1 -1) into 1 6.278 * [backup-simplify]: Simplify (+ 1 0) into 1 6.278 * [backup-simplify]: Simplify (sqrt 1) into 1 6.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.280 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 6.280 * [backup-simplify]: Simplify (+ 0 0) into 0 6.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.280 * [taylor]: Taking taylor expansion of 1 in im 6.280 * [backup-simplify]: Simplify 1 into 1 6.280 * [taylor]: Taking taylor expansion of 0 in im 6.280 * [backup-simplify]: Simplify 0 into 0 6.280 * [backup-simplify]: Simplify 1 into 1 6.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.282 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 6.282 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 6.282 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.283 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.283 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.283 * [taylor]: Taking taylor expansion of 1/2 in im 6.283 * [backup-simplify]: Simplify 1/2 into 1/2 6.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.283 * [taylor]: Taking taylor expansion of im in im 6.283 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify 1 into 1 6.284 * [backup-simplify]: Simplify (* 1 1) into 1 6.284 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 0 into 0 6.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 6.287 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.287 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 6.287 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 6.287 * [backup-simplify]: Simplify (+ 0 0) into 0 6.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.288 * [taylor]: Taking taylor expansion of 0 in im 6.288 * [backup-simplify]: Simplify 0 into 0 6.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.289 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.289 * * * [progress]: simplifying candidates 6.289 * * * * [progress]: [ 1 / 56 ] simplifiying candidate # 6.289 * * * * [progress]: [ 2 / 56 ] simplifiying candidate # 6.289 * * * * [progress]: [ 3 / 56 ] simplifiying candidate # 6.289 * * * * [progress]: [ 4 / 56 ] simplifiying candidate # 6.289 * * * * [progress]: [ 5 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 6 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 7 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 8 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 9 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 10 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 11 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 12 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 13 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 14 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 15 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 16 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 17 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 18 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 19 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 20 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 21 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 22 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 23 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 24 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 25 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 26 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 27 / 56 ] simplifiying candidate # 6.290 * * * * [progress]: [ 28 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 29 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 30 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 31 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 32 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 33 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 34 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 35 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 36 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 37 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 38 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 39 / 56 ] simplifiying candidate #real (real->posit16 (/ (log (hypot re im)) (log base)))))> 6.291 * * * * [progress]: [ 40 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 41 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 42 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 43 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 44 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 45 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 46 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 47 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 48 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 49 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 50 / 56 ] simplifiying candidate #real (real->posit16 (hypot re im)))) (log base)))> 6.291 * * * * [progress]: [ 51 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 52 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 53 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 54 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 55 / 56 ] simplifiying candidate # 6.291 * * * * [progress]: [ 56 / 56 ] simplifiying candidate # 6.292 * [simplify]: Simplifying: (expm1 (/ (log (hypot re im)) (log base))) (log1p (/ (log (hypot re im)) (log base))) (- (log (log (hypot re im))) (log (log base))) (log (/ (log (hypot re im)) (log base))) (exp (/ (log (hypot re im)) (log base))) (/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base))) (* (cbrt (/ (log (hypot re im)) (log base))) (cbrt (/ (log (hypot re im)) (log base)))) (cbrt (/ (log (hypot re im)) (log base))) (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))) (sqrt (/ (log (hypot re im)) (log base))) (sqrt (/ (log (hypot re im)) (log base))) (- (log (hypot re im))) (- (log base)) (/ 1 1) (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ 1 1) (/ (log (hypot re im)) (log base)) (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1) (/ (cbrt (log (hypot re im))) (log base)) (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base)))) (/ (cbrt (log (hypot re im))) (cbrt (log base))) (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base))) (/ (cbrt (log (hypot re im))) (sqrt (log base))) (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1) (/ (cbrt (log (hypot re im))) (log base)) (/ (sqrt (log (hypot re im))) 1) (/ (sqrt (log (hypot re im))) (log base)) (/ (sqrt (log (hypot re im))) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (log (hypot re im))) (cbrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (/ (sqrt (log (hypot re im))) 1) (/ (sqrt (log (hypot re im))) (log base)) (/ 1 1) (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ 1 1) (/ (log (hypot re im)) (log base)) (/ 1 (log base)) (/ (log base) (log (hypot re im))) (/ (log (hypot re im)) 1) (/ (log (hypot re im)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (sqrt (log base))) (/ (log (hypot re im)) 1) (/ (log base) (log (hypot re im))) (/ (log base) (cbrt (log (hypot re im)))) (/ (log base) (sqrt (log (hypot re im)))) (/ (log base) (log (hypot re im))) (real->posit16 (/ (log (hypot re im)) (log base))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (/ (log im) (log base)) (/ (log (/ 1 re)) (log (/ 1 base))) (* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))) im re (* -1 re) 6.293 * * [simplify]: iteration 0: 85 enodes 6.316 * * [simplify]: iteration 1: 140 enodes 6.339 * * [simplify]: iteration 2: 305 enodes 6.436 * * [simplify]: iteration 3: 662 enodes 6.743 * * [simplify]: iteration 4: 1929 enodes 9.311 * * [simplify]: iteration complete: 5001 enodes 9.311 * * [simplify]: Extracting #0: cost 49 inf + 0 9.312 * * [simplify]: Extracting #1: cost 435 inf + 44 9.315 * * [simplify]: Extracting #2: cost 950 inf + 1683 9.332 * * [simplify]: Extracting #3: cost 629 inf + 90316 9.398 * * [simplify]: Extracting #4: cost 78 inf + 269291 9.484 * * [simplify]: Extracting #5: cost 4 inf + 294946 9.537 * * [simplify]: Extracting #6: cost 0 inf + 296238 9.610 * [simplify]: Simplified to: (expm1 (/ (log (hypot re im)) (log base))) (log1p (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (exp (/ (log (hypot re im)) (log base))) (* (/ (log (hypot re im)) (log base)) (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))) (* (cbrt (/ (log (hypot re im)) (log base))) (cbrt (/ (log (hypot re im)) (log base)))) (cbrt (/ (log (hypot re im)) (log base))) (* (/ (log (hypot re im)) (log base)) (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))) (sqrt (/ (log (hypot re im)) (log base))) (sqrt (/ (log (hypot re im)) (log base))) (- (log (hypot re im))) (- (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (cbrt (log (hypot re im))) (log base)) (* (/ (cbrt (log (hypot re im))) (cbrt (log base))) (/ (cbrt (log (hypot re im))) (cbrt (log base)))) (/ (cbrt (log (hypot re im))) (cbrt (log base))) (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base))) (/ (cbrt (log (hypot re im))) (sqrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (cbrt (log (hypot re im))) (log base)) (sqrt (log (hypot re im))) (/ (sqrt (log (hypot re im))) (log base)) (/ (/ (sqrt (log (hypot re im))) (cbrt (log base))) (cbrt (log base))) (/ (sqrt (log (hypot re im))) (cbrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (sqrt (log (hypot re im))) (/ (sqrt (log (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) (/ 1 (log base)) (/ (log base) (log (hypot re im))) (log (hypot re im)) (/ (/ (log (hypot re im)) (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (log (hypot re im)) (/ (log base) (log (hypot re im))) (/ (log base) (cbrt (log (hypot re im)))) (/ (log base) (sqrt (log (hypot re im)))) (/ (log base) (log (hypot re im))) (real->posit16 (/ (log (hypot re im)) (log base))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (/ (log im) (log base)) (- (/ (log re) (- (log base)))) (* (/ -1 (log base)) (log (/ -1 re))) im re (- re) 9.612 * * * [progress]: adding candidates to table 9.894 * * [progress]: iteration 2 / 4 9.894 * * * [progress]: picking best candidate 9.963 * * * * [pick]: Picked # 9.963 * * * [progress]: localizing error 10.003 * * * [progress]: generating rewritten candidates 10.004 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 10.031 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 10.133 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 10.133 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1) 10.146 * * * [progress]: generating series expansions 10.146 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 10.146 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 10.146 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 10.146 * [taylor]: Taking taylor expansion of (hypot re im) in im 10.146 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.146 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 10.146 * [taylor]: Taking taylor expansion of (* re re) in im 10.146 * [taylor]: Taking taylor expansion of re in im 10.146 * [backup-simplify]: Simplify re into re 10.146 * [taylor]: Taking taylor expansion of re in im 10.146 * [backup-simplify]: Simplify re into re 10.146 * [taylor]: Taking taylor expansion of (* im im) in im 10.146 * [taylor]: Taking taylor expansion of im in im 10.147 * [backup-simplify]: Simplify 0 into 0 10.147 * [backup-simplify]: Simplify 1 into 1 10.147 * [taylor]: Taking taylor expansion of im in im 10.147 * [backup-simplify]: Simplify 0 into 0 10.147 * [backup-simplify]: Simplify 1 into 1 10.147 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.147 * [backup-simplify]: Simplify (* 0 0) into 0 10.148 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.148 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.148 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.148 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.149 * [backup-simplify]: Simplify (+ 0 0) into 0 10.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.149 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.149 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.149 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.149 * [taylor]: Taking taylor expansion of (* re re) in re 10.149 * [taylor]: Taking taylor expansion of re in re 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 1 into 1 10.149 * [taylor]: Taking taylor expansion of re in re 10.149 * [backup-simplify]: Simplify 0 into 0 10.149 * [backup-simplify]: Simplify 1 into 1 10.149 * [taylor]: Taking taylor expansion of (* im im) in re 10.149 * [taylor]: Taking taylor expansion of im in re 10.149 * [backup-simplify]: Simplify im into im 10.149 * [taylor]: Taking taylor expansion of im in re 10.149 * [backup-simplify]: Simplify im into im 10.150 * [backup-simplify]: Simplify (* 0 0) into 0 10.150 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.150 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.150 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.150 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.151 * [backup-simplify]: Simplify (+ 0 0) into 0 10.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.151 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.151 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.151 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.151 * [taylor]: Taking taylor expansion of (* re re) in re 10.151 * [taylor]: Taking taylor expansion of re in re 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify 1 into 1 10.151 * [taylor]: Taking taylor expansion of re in re 10.151 * [backup-simplify]: Simplify 0 into 0 10.151 * [backup-simplify]: Simplify 1 into 1 10.151 * [taylor]: Taking taylor expansion of (* im im) in re 10.151 * [taylor]: Taking taylor expansion of im in re 10.152 * [backup-simplify]: Simplify im into im 10.152 * [taylor]: Taking taylor expansion of im in re 10.152 * [backup-simplify]: Simplify im into im 10.152 * [backup-simplify]: Simplify (* 0 0) into 0 10.152 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.152 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.152 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.153 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.153 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.153 * [backup-simplify]: Simplify (+ 0 0) into 0 10.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.153 * [taylor]: Taking taylor expansion of im in im 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [taylor]: Taking taylor expansion of 0 in im 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 0 into 0 10.154 * [backup-simplify]: Simplify 1 into 1 10.154 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.155 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.155 * [backup-simplify]: Simplify (+ 1 0) into 1 10.156 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.156 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.156 * [taylor]: Taking taylor expansion of 1/2 in im 10.156 * [backup-simplify]: Simplify 1/2 into 1/2 10.156 * [taylor]: Taking taylor expansion of im in im 10.156 * [backup-simplify]: Simplify 0 into 0 10.156 * [backup-simplify]: Simplify 1 into 1 10.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.157 * [backup-simplify]: Simplify 0 into 0 10.157 * [backup-simplify]: Simplify 0 into 0 10.157 * [backup-simplify]: Simplify 0 into 0 10.158 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.159 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.159 * [backup-simplify]: Simplify (+ 0 0) into 0 10.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.159 * [taylor]: Taking taylor expansion of 0 in im 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify 0 into 0 10.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.160 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.161 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 10.161 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 10.161 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 10.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.161 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 10.161 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 10.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.161 * [taylor]: Taking taylor expansion of re in im 10.161 * [backup-simplify]: Simplify re into re 10.161 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.161 * [taylor]: Taking taylor expansion of re in im 10.161 * [backup-simplify]: Simplify re into re 10.161 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.161 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 10.161 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.161 * [taylor]: Taking taylor expansion of im in im 10.161 * [backup-simplify]: Simplify 0 into 0 10.161 * [backup-simplify]: Simplify 1 into 1 10.162 * [backup-simplify]: Simplify (/ 1 1) into 1 10.162 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.162 * [taylor]: Taking taylor expansion of im in im 10.162 * [backup-simplify]: Simplify 0 into 0 10.162 * [backup-simplify]: Simplify 1 into 1 10.162 * [backup-simplify]: Simplify (/ 1 1) into 1 10.163 * [backup-simplify]: Simplify (* 1 1) into 1 10.163 * [backup-simplify]: Simplify (+ 0 1) into 1 10.163 * [backup-simplify]: Simplify (sqrt 1) into 1 10.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.165 * [backup-simplify]: Simplify (+ 0 0) into 0 10.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.166 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.166 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.166 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.166 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.166 * [taylor]: Taking taylor expansion of re in re 10.166 * [backup-simplify]: Simplify 0 into 0 10.166 * [backup-simplify]: Simplify 1 into 1 10.167 * [backup-simplify]: Simplify (/ 1 1) into 1 10.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.167 * [taylor]: Taking taylor expansion of re in re 10.167 * [backup-simplify]: Simplify 0 into 0 10.167 * [backup-simplify]: Simplify 1 into 1 10.167 * [backup-simplify]: Simplify (/ 1 1) into 1 10.167 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.167 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.167 * [taylor]: Taking taylor expansion of im in re 10.167 * [backup-simplify]: Simplify im into im 10.168 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.168 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.168 * [taylor]: Taking taylor expansion of im in re 10.168 * [backup-simplify]: Simplify im into im 10.168 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.168 * [backup-simplify]: Simplify (* 1 1) into 1 10.168 * [backup-simplify]: Simplify (+ 1 0) into 1 10.169 * [backup-simplify]: Simplify (sqrt 1) into 1 10.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.171 * [backup-simplify]: Simplify (+ 0 0) into 0 10.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.172 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.172 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.172 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.172 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.172 * [taylor]: Taking taylor expansion of re in re 10.172 * [backup-simplify]: Simplify 0 into 0 10.172 * [backup-simplify]: Simplify 1 into 1 10.172 * [backup-simplify]: Simplify (/ 1 1) into 1 10.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.172 * [taylor]: Taking taylor expansion of re in re 10.172 * [backup-simplify]: Simplify 0 into 0 10.172 * [backup-simplify]: Simplify 1 into 1 10.173 * [backup-simplify]: Simplify (/ 1 1) into 1 10.173 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.173 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.173 * [taylor]: Taking taylor expansion of im in re 10.173 * [backup-simplify]: Simplify im into im 10.173 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.173 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.173 * [taylor]: Taking taylor expansion of im in re 10.173 * [backup-simplify]: Simplify im into im 10.173 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.173 * [backup-simplify]: Simplify (* 1 1) into 1 10.174 * [backup-simplify]: Simplify (+ 1 0) into 1 10.174 * [backup-simplify]: Simplify (sqrt 1) into 1 10.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.176 * [backup-simplify]: Simplify (+ 0 0) into 0 10.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.177 * [taylor]: Taking taylor expansion of 1 in im 10.177 * [backup-simplify]: Simplify 1 into 1 10.177 * [taylor]: Taking taylor expansion of 0 in im 10.177 * [backup-simplify]: Simplify 0 into 0 10.177 * [backup-simplify]: Simplify 1 into 1 10.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.179 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 10.179 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.180 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.180 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.180 * [taylor]: Taking taylor expansion of 1/2 in im 10.180 * [backup-simplify]: Simplify 1/2 into 1/2 10.180 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.180 * [taylor]: Taking taylor expansion of im in im 10.180 * [backup-simplify]: Simplify 0 into 0 10.180 * [backup-simplify]: Simplify 1 into 1 10.181 * [backup-simplify]: Simplify (* 1 1) into 1 10.181 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify 0 into 0 10.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.184 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 10.184 * [backup-simplify]: Simplify (+ 0 0) into 0 10.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.184 * [taylor]: Taking taylor expansion of 0 in im 10.184 * [backup-simplify]: Simplify 0 into 0 10.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.186 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 10.186 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 10.186 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 10.186 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.186 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 10.186 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 10.186 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.186 * [taylor]: Taking taylor expansion of -1 in im 10.186 * [backup-simplify]: Simplify -1 into -1 10.186 * [taylor]: Taking taylor expansion of re in im 10.186 * [backup-simplify]: Simplify re into re 10.186 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.186 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.186 * [taylor]: Taking taylor expansion of -1 in im 10.186 * [backup-simplify]: Simplify -1 into -1 10.186 * [taylor]: Taking taylor expansion of re in im 10.186 * [backup-simplify]: Simplify re into re 10.186 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.186 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 10.186 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.186 * [taylor]: Taking taylor expansion of -1 in im 10.186 * [backup-simplify]: Simplify -1 into -1 10.186 * [taylor]: Taking taylor expansion of im in im 10.186 * [backup-simplify]: Simplify 0 into 0 10.186 * [backup-simplify]: Simplify 1 into 1 10.187 * [backup-simplify]: Simplify (/ -1 1) into -1 10.187 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.187 * [taylor]: Taking taylor expansion of -1 in im 10.187 * [backup-simplify]: Simplify -1 into -1 10.187 * [taylor]: Taking taylor expansion of im in im 10.187 * [backup-simplify]: Simplify 0 into 0 10.187 * [backup-simplify]: Simplify 1 into 1 10.187 * [backup-simplify]: Simplify (/ -1 1) into -1 10.187 * [backup-simplify]: Simplify (* -1 -1) into 1 10.188 * [backup-simplify]: Simplify (+ 0 1) into 1 10.188 * [backup-simplify]: Simplify (sqrt 1) into 1 10.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.192 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.192 * [backup-simplify]: Simplify (+ 0 0) into 0 10.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.193 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.193 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.193 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.193 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.193 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.193 * [taylor]: Taking taylor expansion of -1 in re 10.193 * [backup-simplify]: Simplify -1 into -1 10.193 * [taylor]: Taking taylor expansion of re in re 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 1 into 1 10.193 * [backup-simplify]: Simplify (/ -1 1) into -1 10.193 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.193 * [taylor]: Taking taylor expansion of -1 in re 10.193 * [backup-simplify]: Simplify -1 into -1 10.193 * [taylor]: Taking taylor expansion of re in re 10.193 * [backup-simplify]: Simplify 0 into 0 10.193 * [backup-simplify]: Simplify 1 into 1 10.194 * [backup-simplify]: Simplify (/ -1 1) into -1 10.194 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.194 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.194 * [taylor]: Taking taylor expansion of -1 in re 10.194 * [backup-simplify]: Simplify -1 into -1 10.194 * [taylor]: Taking taylor expansion of im in re 10.194 * [backup-simplify]: Simplify im into im 10.194 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.194 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.194 * [taylor]: Taking taylor expansion of -1 in re 10.194 * [backup-simplify]: Simplify -1 into -1 10.194 * [taylor]: Taking taylor expansion of im in re 10.194 * [backup-simplify]: Simplify im into im 10.194 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.194 * [backup-simplify]: Simplify (* -1 -1) into 1 10.194 * [backup-simplify]: Simplify (+ 1 0) into 1 10.195 * [backup-simplify]: Simplify (sqrt 1) into 1 10.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.196 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.196 * [backup-simplify]: Simplify (+ 0 0) into 0 10.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.197 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.197 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.197 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.197 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.197 * [taylor]: Taking taylor expansion of -1 in re 10.197 * [backup-simplify]: Simplify -1 into -1 10.197 * [taylor]: Taking taylor expansion of re in re 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 1 into 1 10.197 * [backup-simplify]: Simplify (/ -1 1) into -1 10.197 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.197 * [taylor]: Taking taylor expansion of -1 in re 10.197 * [backup-simplify]: Simplify -1 into -1 10.197 * [taylor]: Taking taylor expansion of re in re 10.197 * [backup-simplify]: Simplify 0 into 0 10.197 * [backup-simplify]: Simplify 1 into 1 10.198 * [backup-simplify]: Simplify (/ -1 1) into -1 10.198 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.198 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.198 * [taylor]: Taking taylor expansion of -1 in re 10.198 * [backup-simplify]: Simplify -1 into -1 10.198 * [taylor]: Taking taylor expansion of im in re 10.198 * [backup-simplify]: Simplify im into im 10.198 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.198 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.198 * [taylor]: Taking taylor expansion of -1 in re 10.198 * [backup-simplify]: Simplify -1 into -1 10.198 * [taylor]: Taking taylor expansion of im in re 10.198 * [backup-simplify]: Simplify im into im 10.198 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.198 * [backup-simplify]: Simplify (* -1 -1) into 1 10.198 * [backup-simplify]: Simplify (+ 1 0) into 1 10.199 * [backup-simplify]: Simplify (sqrt 1) into 1 10.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.200 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.200 * [backup-simplify]: Simplify (+ 0 0) into 0 10.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.201 * [taylor]: Taking taylor expansion of 1 in im 10.201 * [backup-simplify]: Simplify 1 into 1 10.201 * [taylor]: Taking taylor expansion of 0 in im 10.201 * [backup-simplify]: Simplify 0 into 0 10.201 * [backup-simplify]: Simplify 1 into 1 10.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.202 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.202 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.203 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.204 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.204 * [taylor]: Taking taylor expansion of 1/2 in im 10.204 * [backup-simplify]: Simplify 1/2 into 1/2 10.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.204 * [taylor]: Taking taylor expansion of im in im 10.204 * [backup-simplify]: Simplify 0 into 0 10.204 * [backup-simplify]: Simplify 1 into 1 10.204 * [backup-simplify]: Simplify (* 1 1) into 1 10.205 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.206 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 0 into 0 10.207 * [backup-simplify]: Simplify 0 into 0 10.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.210 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.210 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.210 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.210 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 10.211 * [backup-simplify]: Simplify (+ 0 0) into 0 10.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.212 * [taylor]: Taking taylor expansion of 0 in im 10.212 * [backup-simplify]: Simplify 0 into 0 10.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.214 * [backup-simplify]: Simplify 0 into 0 10.214 * [backup-simplify]: Simplify 0 into 0 10.214 * [backup-simplify]: Simplify 0 into 0 10.214 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.214 * * * * [progress]: [ 2 / 4 ] generating series at (2) 10.214 * [backup-simplify]: Simplify (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) into (/ (log (hypot re im)) (log base)) 10.214 * [approximate]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in (re im base) around 0 10.214 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in base 10.214 * [taylor]: Taking taylor expansion of (log (hypot re im)) in base 10.214 * [taylor]: Taking taylor expansion of (hypot re im) in base 10.214 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.215 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in base 10.215 * [taylor]: Taking taylor expansion of (* re re) in base 10.215 * [taylor]: Taking taylor expansion of re in base 10.215 * [backup-simplify]: Simplify re into re 10.215 * [taylor]: Taking taylor expansion of re in base 10.215 * [backup-simplify]: Simplify re into re 10.215 * [taylor]: Taking taylor expansion of (* im im) in base 10.215 * [taylor]: Taking taylor expansion of im in base 10.215 * [backup-simplify]: Simplify im into im 10.215 * [taylor]: Taking taylor expansion of im in base 10.215 * [backup-simplify]: Simplify im into im 10.215 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.215 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.215 * [backup-simplify]: Simplify (+ (pow re 2) (pow im 2)) into (+ (pow im 2) (pow re 2)) 10.215 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (pow re 2))) into (sqrt (+ (pow im 2) (pow re 2))) 10.215 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.215 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.216 * [backup-simplify]: Simplify (+ 0 0) into 0 10.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow im 2) (pow re 2))))) into 0 10.216 * [backup-simplify]: Simplify (log (sqrt (+ (pow im 2) (pow re 2)))) into (log (sqrt (+ (pow im 2) (pow re 2)))) 10.216 * [taylor]: Taking taylor expansion of (log base) in base 10.217 * [taylor]: Taking taylor expansion of base in base 10.217 * [backup-simplify]: Simplify 0 into 0 10.217 * [backup-simplify]: Simplify 1 into 1 10.217 * [backup-simplify]: Simplify (log 1) into 0 10.217 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 10.218 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 10.218 * [backup-simplify]: Simplify (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) into (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) 10.218 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in im 10.218 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 10.218 * [taylor]: Taking taylor expansion of (hypot re im) in im 10.218 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.218 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 10.218 * [taylor]: Taking taylor expansion of (* re re) in im 10.218 * [taylor]: Taking taylor expansion of re in im 10.218 * [backup-simplify]: Simplify re into re 10.218 * [taylor]: Taking taylor expansion of re in im 10.218 * [backup-simplify]: Simplify re into re 10.218 * [taylor]: Taking taylor expansion of (* im im) in im 10.219 * [taylor]: Taking taylor expansion of im in im 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify 1 into 1 10.219 * [taylor]: Taking taylor expansion of im in im 10.219 * [backup-simplify]: Simplify 0 into 0 10.219 * [backup-simplify]: Simplify 1 into 1 10.219 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.219 * [backup-simplify]: Simplify (* 0 0) into 0 10.219 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.219 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.219 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.220 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.220 * [backup-simplify]: Simplify (+ 0 0) into 0 10.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.221 * [backup-simplify]: Simplify (log re) into (log re) 10.221 * [taylor]: Taking taylor expansion of (log base) in im 10.221 * [taylor]: Taking taylor expansion of base in im 10.221 * [backup-simplify]: Simplify base into base 10.221 * [backup-simplify]: Simplify (log base) into (log base) 10.221 * [backup-simplify]: Simplify (/ (log re) (log base)) into (/ (log re) (log base)) 10.221 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in re 10.221 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 10.221 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.221 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.221 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.221 * [taylor]: Taking taylor expansion of (* re re) in re 10.221 * [taylor]: Taking taylor expansion of re in re 10.221 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify 1 into 1 10.221 * [taylor]: Taking taylor expansion of re in re 10.221 * [backup-simplify]: Simplify 0 into 0 10.221 * [backup-simplify]: Simplify 1 into 1 10.221 * [taylor]: Taking taylor expansion of (* im im) in re 10.221 * [taylor]: Taking taylor expansion of im in re 10.221 * [backup-simplify]: Simplify im into im 10.221 * [taylor]: Taking taylor expansion of im in re 10.221 * [backup-simplify]: Simplify im into im 10.222 * [backup-simplify]: Simplify (* 0 0) into 0 10.222 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.222 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.222 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.223 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.223 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.223 * [backup-simplify]: Simplify (+ 0 0) into 0 10.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.224 * [backup-simplify]: Simplify (log im) into (log im) 10.224 * [taylor]: Taking taylor expansion of (log base) in re 10.224 * [taylor]: Taking taylor expansion of base in re 10.224 * [backup-simplify]: Simplify base into base 10.224 * [backup-simplify]: Simplify (log base) into (log base) 10.224 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 10.224 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in re 10.224 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 10.224 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.224 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.224 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.224 * [taylor]: Taking taylor expansion of (* re re) in re 10.224 * [taylor]: Taking taylor expansion of re in re 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify 1 into 1 10.224 * [taylor]: Taking taylor expansion of re in re 10.224 * [backup-simplify]: Simplify 0 into 0 10.224 * [backup-simplify]: Simplify 1 into 1 10.224 * [taylor]: Taking taylor expansion of (* im im) in re 10.224 * [taylor]: Taking taylor expansion of im in re 10.224 * [backup-simplify]: Simplify im into im 10.224 * [taylor]: Taking taylor expansion of im in re 10.224 * [backup-simplify]: Simplify im into im 10.225 * [backup-simplify]: Simplify (* 0 0) into 0 10.225 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.225 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.225 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.226 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.226 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.226 * [backup-simplify]: Simplify (+ 0 0) into 0 10.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.226 * [backup-simplify]: Simplify (log im) into (log im) 10.226 * [taylor]: Taking taylor expansion of (log base) in re 10.226 * [taylor]: Taking taylor expansion of base in re 10.226 * [backup-simplify]: Simplify base into base 10.227 * [backup-simplify]: Simplify (log base) into (log base) 10.227 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 10.227 * [taylor]: Taking taylor expansion of (/ (log im) (log base)) in im 10.227 * [taylor]: Taking taylor expansion of (log im) in im 10.227 * [taylor]: Taking taylor expansion of im in im 10.227 * [backup-simplify]: Simplify 0 into 0 10.227 * [backup-simplify]: Simplify 1 into 1 10.227 * [backup-simplify]: Simplify (log 1) into 0 10.227 * [taylor]: Taking taylor expansion of (log base) in im 10.227 * [taylor]: Taking taylor expansion of base in im 10.227 * [backup-simplify]: Simplify base into base 10.227 * [backup-simplify]: Simplify (log base) into (log base) 10.228 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 10.228 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 10.228 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 10.228 * [taylor]: Taking taylor expansion of (/ (log im) (log base)) in base 10.228 * [taylor]: Taking taylor expansion of (log im) in base 10.228 * [taylor]: Taking taylor expansion of im in base 10.228 * [backup-simplify]: Simplify im into im 10.229 * [backup-simplify]: Simplify (log im) into (log im) 10.229 * [taylor]: Taking taylor expansion of (log base) in base 10.229 * [taylor]: Taking taylor expansion of base in base 10.229 * [backup-simplify]: Simplify 0 into 0 10.229 * [backup-simplify]: Simplify 1 into 1 10.229 * [backup-simplify]: Simplify (log 1) into 0 10.229 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 10.230 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 10.230 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 10.230 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 10.231 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 10.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 10.232 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 10.232 * [taylor]: Taking taylor expansion of 0 in im 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [taylor]: Taking taylor expansion of 0 in base 10.232 * [backup-simplify]: Simplify 0 into 0 10.232 * [backup-simplify]: Simplify 0 into 0 10.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.235 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 10.235 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 10.235 * [taylor]: Taking taylor expansion of 0 in base 10.235 * [backup-simplify]: Simplify 0 into 0 10.235 * [backup-simplify]: Simplify 0 into 0 10.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 10.236 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 10.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.238 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 10.239 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 10.239 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.240 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.240 * [backup-simplify]: Simplify (+ 1 0) into 1 10.241 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.243 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 10.244 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 10.245 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into (* 1/2 (/ 1 (* (log base) (pow im 2)))) 10.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (log base) (pow im 2)))) in im 10.245 * [taylor]: Taking taylor expansion of 1/2 in im 10.245 * [backup-simplify]: Simplify 1/2 into 1/2 10.245 * [taylor]: Taking taylor expansion of (/ 1 (* (log base) (pow im 2))) in im 10.245 * [taylor]: Taking taylor expansion of (* (log base) (pow im 2)) in im 10.245 * [taylor]: Taking taylor expansion of (log base) in im 10.245 * [taylor]: Taking taylor expansion of base in im 10.245 * [backup-simplify]: Simplify base into base 10.245 * [backup-simplify]: Simplify (log base) into (log base) 10.245 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.245 * [taylor]: Taking taylor expansion of im in im 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 1 into 1 10.246 * [backup-simplify]: Simplify (* 1 1) into 1 10.246 * [backup-simplify]: Simplify (* (log base) 1) into (log base) 10.246 * [backup-simplify]: Simplify (/ 1 (log base)) into (/ 1 (log base)) 10.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.248 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 10.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 10.252 * [backup-simplify]: Simplify (+ (* (log base) 0) (+ (* 0 0) (* 0 1))) into 0 10.252 * [backup-simplify]: Simplify (+ (* (log base) 0) (* 0 1)) into 0 10.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log base)) (/ 0 (log base))))) into 0 10.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into 0 10.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log base))))) into 0 10.253 * [taylor]: Taking taylor expansion of 0 in base 10.253 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.254 * [taylor]: Taking taylor expansion of 0 in base 10.254 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify 0 into 0 10.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 10.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 10.259 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into 0 10.259 * [taylor]: Taking taylor expansion of 0 in base 10.259 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify 0 into 0 10.259 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 10.259 * [backup-simplify]: Simplify (/ (log (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (log (/ 1 base))) into (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) 10.259 * [approximate]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in (re im base) around 0 10.259 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in base 10.259 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in base 10.259 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in base 10.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.260 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in base 10.260 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in base 10.260 * [taylor]: Taking taylor expansion of (/ 1 re) in base 10.260 * [taylor]: Taking taylor expansion of re in base 10.260 * [backup-simplify]: Simplify re into re 10.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.260 * [taylor]: Taking taylor expansion of (/ 1 re) in base 10.260 * [taylor]: Taking taylor expansion of re in base 10.260 * [backup-simplify]: Simplify re into re 10.260 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.260 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in base 10.260 * [taylor]: Taking taylor expansion of (/ 1 im) in base 10.260 * [taylor]: Taking taylor expansion of im in base 10.260 * [backup-simplify]: Simplify im into im 10.260 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.260 * [taylor]: Taking taylor expansion of (/ 1 im) in base 10.260 * [taylor]: Taking taylor expansion of im in base 10.260 * [backup-simplify]: Simplify im into im 10.260 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.260 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 10.260 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 10.260 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 10.261 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 10.261 * [backup-simplify]: Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0 10.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.261 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 10.262 * [backup-simplify]: Simplify (+ 0 0) into 0 10.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) into 0 10.263 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) into (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 10.263 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 10.263 * [taylor]: Taking taylor expansion of (/ 1 base) in base 10.263 * [taylor]: Taking taylor expansion of base in base 10.263 * [backup-simplify]: Simplify 0 into 0 10.263 * [backup-simplify]: Simplify 1 into 1 10.263 * [backup-simplify]: Simplify (/ 1 1) into 1 10.264 * [backup-simplify]: Simplify (log 1) into 0 10.264 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 10.265 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 10.265 * [backup-simplify]: Simplify (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log base))) into (* -1 (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (log base))) 10.265 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in im 10.265 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 10.265 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 10.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.265 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 10.265 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 10.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.265 * [taylor]: Taking taylor expansion of re in im 10.265 * [backup-simplify]: Simplify re into re 10.265 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.265 * [taylor]: Taking taylor expansion of re in im 10.265 * [backup-simplify]: Simplify re into re 10.266 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.266 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 10.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.266 * [taylor]: Taking taylor expansion of im in im 10.266 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify 1 into 1 10.266 * [backup-simplify]: Simplify (/ 1 1) into 1 10.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.266 * [taylor]: Taking taylor expansion of im in im 10.266 * [backup-simplify]: Simplify 0 into 0 10.266 * [backup-simplify]: Simplify 1 into 1 10.267 * [backup-simplify]: Simplify (/ 1 1) into 1 10.267 * [backup-simplify]: Simplify (* 1 1) into 1 10.267 * [backup-simplify]: Simplify (+ 0 1) into 1 10.268 * [backup-simplify]: Simplify (sqrt 1) into 1 10.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.270 * [backup-simplify]: Simplify (+ 0 0) into 0 10.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.271 * [backup-simplify]: Simplify (log 1) into 0 10.271 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 10.271 * [taylor]: Taking taylor expansion of (/ 1 base) in im 10.271 * [taylor]: Taking taylor expansion of base in im 10.271 * [backup-simplify]: Simplify base into base 10.271 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 10.271 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 10.272 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 10.272 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 10.272 * [backup-simplify]: Simplify (/ (- (log im)) (log (/ 1 base))) into (* -1 (/ (log im) (log (/ 1 base)))) 10.272 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in re 10.272 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 10.272 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.272 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.272 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.272 * [taylor]: Taking taylor expansion of re in re 10.272 * [backup-simplify]: Simplify 0 into 0 10.273 * [backup-simplify]: Simplify 1 into 1 10.273 * [backup-simplify]: Simplify (/ 1 1) into 1 10.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.273 * [taylor]: Taking taylor expansion of re in re 10.273 * [backup-simplify]: Simplify 0 into 0 10.273 * [backup-simplify]: Simplify 1 into 1 10.273 * [backup-simplify]: Simplify (/ 1 1) into 1 10.273 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.273 * [taylor]: Taking taylor expansion of im in re 10.273 * [backup-simplify]: Simplify im into im 10.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.273 * [taylor]: Taking taylor expansion of im in re 10.274 * [backup-simplify]: Simplify im into im 10.274 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.274 * [backup-simplify]: Simplify (* 1 1) into 1 10.274 * [backup-simplify]: Simplify (+ 1 0) into 1 10.275 * [backup-simplify]: Simplify (sqrt 1) into 1 10.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.277 * [backup-simplify]: Simplify (+ 0 0) into 0 10.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.278 * [backup-simplify]: Simplify (log 1) into 0 10.278 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 10.278 * [taylor]: Taking taylor expansion of (/ 1 base) in re 10.278 * [taylor]: Taking taylor expansion of base in re 10.278 * [backup-simplify]: Simplify base into base 10.278 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 10.278 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 10.278 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 10.279 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 10.279 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ 1 base))) into (* -1 (/ (log re) (log (/ 1 base)))) 10.279 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in re 10.279 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 10.279 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.279 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.279 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.279 * [taylor]: Taking taylor expansion of re in re 10.279 * [backup-simplify]: Simplify 0 into 0 10.279 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (/ 1 1) into 1 10.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.280 * [taylor]: Taking taylor expansion of re in re 10.280 * [backup-simplify]: Simplify 0 into 0 10.280 * [backup-simplify]: Simplify 1 into 1 10.280 * [backup-simplify]: Simplify (/ 1 1) into 1 10.280 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.280 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.280 * [taylor]: Taking taylor expansion of im in re 10.280 * [backup-simplify]: Simplify im into im 10.280 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.280 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.280 * [taylor]: Taking taylor expansion of im in re 10.280 * [backup-simplify]: Simplify im into im 10.280 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.281 * [backup-simplify]: Simplify (* 1 1) into 1 10.281 * [backup-simplify]: Simplify (+ 1 0) into 1 10.281 * [backup-simplify]: Simplify (sqrt 1) into 1 10.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.283 * [backup-simplify]: Simplify (+ 0 0) into 0 10.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.284 * [backup-simplify]: Simplify (log 1) into 0 10.284 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 10.284 * [taylor]: Taking taylor expansion of (/ 1 base) in re 10.285 * [taylor]: Taking taylor expansion of base in re 10.285 * [backup-simplify]: Simplify base into base 10.285 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 10.285 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 10.285 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 10.285 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 10.286 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ 1 base))) into (* -1 (/ (log re) (log (/ 1 base)))) 10.286 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ 1 base)))) in im 10.286 * [taylor]: Taking taylor expansion of -1 in im 10.286 * [backup-simplify]: Simplify -1 into -1 10.286 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ 1 base))) in im 10.286 * [taylor]: Taking taylor expansion of (log re) in im 10.286 * [taylor]: Taking taylor expansion of re in im 10.286 * [backup-simplify]: Simplify re into re 10.286 * [backup-simplify]: Simplify (log re) into (log re) 10.286 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 10.286 * [taylor]: Taking taylor expansion of (/ 1 base) in im 10.286 * [taylor]: Taking taylor expansion of base in im 10.286 * [backup-simplify]: Simplify base into base 10.286 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 10.286 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 10.286 * [backup-simplify]: Simplify (/ (log re) (log (/ 1 base))) into (/ (log re) (log (/ 1 base))) 10.286 * [backup-simplify]: Simplify (* -1 (/ (log re) (log (/ 1 base)))) into (* -1 (/ (log re) (log (/ 1 base)))) 10.286 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ 1 base)))) in base 10.286 * [taylor]: Taking taylor expansion of -1 in base 10.286 * [backup-simplify]: Simplify -1 into -1 10.286 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ 1 base))) in base 10.286 * [taylor]: Taking taylor expansion of (log re) in base 10.286 * [taylor]: Taking taylor expansion of re in base 10.286 * [backup-simplify]: Simplify re into re 10.286 * [backup-simplify]: Simplify (log re) into (log re) 10.286 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 10.286 * [taylor]: Taking taylor expansion of (/ 1 base) in base 10.286 * [taylor]: Taking taylor expansion of base in base 10.287 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify 1 into 1 10.287 * [backup-simplify]: Simplify (/ 1 1) into 1 10.287 * [backup-simplify]: Simplify (log 1) into 0 10.288 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 10.288 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 10.288 * [backup-simplify]: Simplify (/ (log re) (- (log base))) into (* -1 (/ (log re) (log base))) 10.289 * [backup-simplify]: Simplify (* -1 (* -1 (/ (log re) (log base)))) into (/ (log re) (log base)) 10.289 * [backup-simplify]: Simplify (/ (log re) (log base)) into (/ (log re) (log base)) 10.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 10.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 10.291 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (* -1 (/ (log re) (log (/ 1 base)))) (/ 0 (log (/ 1 base)))))) into 0 10.291 * [taylor]: Taking taylor expansion of 0 in im 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [taylor]: Taking taylor expansion of 0 in base 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify 0 into 0 10.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 10.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 10.293 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 10.294 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (/ (log re) (log (/ 1 base))) (/ 0 (log (/ 1 base)))))) into 0 10.294 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (log (/ 1 base))))) into 0 10.294 * [taylor]: Taking taylor expansion of 0 in base 10.294 * [backup-simplify]: Simplify 0 into 0 10.294 * [backup-simplify]: Simplify 0 into 0 10.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 10.296 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 10.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.298 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.298 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 10.299 * [backup-simplify]: Simplify (- (/ 0 (- (log base))) (+ (* (* -1 (/ (log re) (log base))) (/ 0 (- (log base)))))) into 0 10.299 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* -1 (/ (log re) (log base))))) into 0 10.299 * [backup-simplify]: Simplify 0 into 0 10.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.302 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 10.303 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.304 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 10.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 10.308 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 10.308 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log (/ 1 base))) (+ (* (* -1 (/ (log re) (log (/ 1 base)))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into (* 1/2 (/ 1 (* (log (/ 1 base)) (pow im 2)))) 10.309 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (log (/ 1 base)) (pow im 2)))) in im 10.309 * [taylor]: Taking taylor expansion of 1/2 in im 10.309 * [backup-simplify]: Simplify 1/2 into 1/2 10.309 * [taylor]: Taking taylor expansion of (/ 1 (* (log (/ 1 base)) (pow im 2))) in im 10.309 * [taylor]: Taking taylor expansion of (* (log (/ 1 base)) (pow im 2)) in im 10.309 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 10.309 * [taylor]: Taking taylor expansion of (/ 1 base) in im 10.309 * [taylor]: Taking taylor expansion of base in im 10.309 * [backup-simplify]: Simplify base into base 10.309 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 10.309 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 10.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.309 * [taylor]: Taking taylor expansion of im in im 10.309 * [backup-simplify]: Simplify 0 into 0 10.309 * [backup-simplify]: Simplify 1 into 1 10.309 * [backup-simplify]: Simplify (* 1 1) into 1 10.309 * [backup-simplify]: Simplify (* (log (/ 1 base)) 1) into (log (/ 1 base)) 10.310 * [backup-simplify]: Simplify (/ 1 (log (/ 1 base))) into (/ 1 (log (/ 1 base))) 10.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 10.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 10.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 10.314 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 10.315 * [backup-simplify]: Simplify (+ (* (log (/ 1 base)) 0) (+ (* 0 0) (* 0 1))) into 0 10.315 * [backup-simplify]: Simplify (+ (* (log (/ 1 base)) 0) (* 0 1)) into 0 10.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ 1 base))) (/ 0 (log (/ 1 base)))))) into 0 10.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ 1 base))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into 0 10.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log (/ 1 base)))))) into 0 10.317 * [taylor]: Taking taylor expansion of 0 in base 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [taylor]: Taking taylor expansion of 0 in base 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify 0 into 0 10.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 10.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 10.321 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 10.321 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (/ (log re) (log (/ 1 base))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into 0 10.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (log re) (log (/ 1 base)))))) into 0 10.322 * [taylor]: Taking taylor expansion of 0 in base 10.322 * [backup-simplify]: Simplify 0 into 0 10.322 * [backup-simplify]: Simplify 0 into 0 10.322 * [backup-simplify]: Simplify (/ (log (/ 1 re)) (log (/ 1 base))) into (/ (log (/ 1 re)) (log (/ 1 base))) 10.322 * [backup-simplify]: Simplify (/ (log (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (log (/ 1 (- base)))) into (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) 10.323 * [approximate]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in (re im base) around 0 10.323 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in base 10.323 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in base 10.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in base 10.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.323 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in base 10.323 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in base 10.323 * [taylor]: Taking taylor expansion of (/ -1 re) in base 10.323 * [taylor]: Taking taylor expansion of -1 in base 10.323 * [backup-simplify]: Simplify -1 into -1 10.323 * [taylor]: Taking taylor expansion of re in base 10.323 * [backup-simplify]: Simplify re into re 10.323 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.323 * [taylor]: Taking taylor expansion of (/ -1 re) in base 10.323 * [taylor]: Taking taylor expansion of -1 in base 10.323 * [backup-simplify]: Simplify -1 into -1 10.323 * [taylor]: Taking taylor expansion of re in base 10.323 * [backup-simplify]: Simplify re into re 10.323 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.323 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in base 10.323 * [taylor]: Taking taylor expansion of (/ -1 im) in base 10.323 * [taylor]: Taking taylor expansion of -1 in base 10.323 * [backup-simplify]: Simplify -1 into -1 10.323 * [taylor]: Taking taylor expansion of im in base 10.323 * [backup-simplify]: Simplify im into im 10.323 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.323 * [taylor]: Taking taylor expansion of (/ -1 im) in base 10.323 * [taylor]: Taking taylor expansion of -1 in base 10.324 * [backup-simplify]: Simplify -1 into -1 10.324 * [taylor]: Taking taylor expansion of im in base 10.324 * [backup-simplify]: Simplify im into im 10.324 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.324 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 10.324 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.324 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 10.324 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 10.324 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 10.325 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 10.325 * [backup-simplify]: Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0 10.325 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.325 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.325 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 10.326 * [backup-simplify]: Simplify (+ 0 0) into 0 10.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) into 0 10.326 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) into (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 10.326 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 10.326 * [taylor]: Taking taylor expansion of (/ -1 base) in base 10.326 * [taylor]: Taking taylor expansion of -1 in base 10.326 * [backup-simplify]: Simplify -1 into -1 10.326 * [taylor]: Taking taylor expansion of base in base 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.327 * [backup-simplify]: Simplify (/ -1 1) into -1 10.327 * [backup-simplify]: Simplify (log -1) into (log -1) 10.328 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 10.329 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 10.330 * [backup-simplify]: Simplify (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log -1) (log base))) into (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log -1) (log base))) 10.330 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in im 10.330 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 10.330 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 10.330 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.330 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 10.330 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 10.330 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.330 * [taylor]: Taking taylor expansion of -1 in im 10.330 * [backup-simplify]: Simplify -1 into -1 10.330 * [taylor]: Taking taylor expansion of re in im 10.330 * [backup-simplify]: Simplify re into re 10.330 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.330 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.330 * [taylor]: Taking taylor expansion of -1 in im 10.330 * [backup-simplify]: Simplify -1 into -1 10.330 * [taylor]: Taking taylor expansion of re in im 10.330 * [backup-simplify]: Simplify re into re 10.330 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.330 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 10.330 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.330 * [taylor]: Taking taylor expansion of -1 in im 10.330 * [backup-simplify]: Simplify -1 into -1 10.330 * [taylor]: Taking taylor expansion of im in im 10.330 * [backup-simplify]: Simplify 0 into 0 10.330 * [backup-simplify]: Simplify 1 into 1 10.331 * [backup-simplify]: Simplify (/ -1 1) into -1 10.331 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.331 * [taylor]: Taking taylor expansion of -1 in im 10.331 * [backup-simplify]: Simplify -1 into -1 10.331 * [taylor]: Taking taylor expansion of im in im 10.331 * [backup-simplify]: Simplify 0 into 0 10.331 * [backup-simplify]: Simplify 1 into 1 10.331 * [backup-simplify]: Simplify (/ -1 1) into -1 10.332 * [backup-simplify]: Simplify (* -1 -1) into 1 10.332 * [backup-simplify]: Simplify (+ 0 1) into 1 10.332 * [backup-simplify]: Simplify (sqrt 1) into 1 10.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.336 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.337 * [backup-simplify]: Simplify (+ 0 0) into 0 10.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.338 * [backup-simplify]: Simplify (log 1) into 0 10.338 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 10.338 * [taylor]: Taking taylor expansion of (/ -1 base) in im 10.338 * [taylor]: Taking taylor expansion of -1 in im 10.338 * [backup-simplify]: Simplify -1 into -1 10.338 * [taylor]: Taking taylor expansion of base in im 10.338 * [backup-simplify]: Simplify base into base 10.338 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 10.338 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 10.339 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 10.339 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 10.339 * [backup-simplify]: Simplify (/ (- (log im)) (log (/ -1 base))) into (* -1 (/ (log im) (log (/ -1 base)))) 10.339 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in re 10.339 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 10.339 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.340 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.340 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.340 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.340 * [taylor]: Taking taylor expansion of -1 in re 10.340 * [backup-simplify]: Simplify -1 into -1 10.340 * [taylor]: Taking taylor expansion of re in re 10.340 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify 1 into 1 10.340 * [backup-simplify]: Simplify (/ -1 1) into -1 10.340 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.340 * [taylor]: Taking taylor expansion of -1 in re 10.340 * [backup-simplify]: Simplify -1 into -1 10.340 * [taylor]: Taking taylor expansion of re in re 10.340 * [backup-simplify]: Simplify 0 into 0 10.340 * [backup-simplify]: Simplify 1 into 1 10.341 * [backup-simplify]: Simplify (/ -1 1) into -1 10.341 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.341 * [taylor]: Taking taylor expansion of -1 in re 10.341 * [backup-simplify]: Simplify -1 into -1 10.341 * [taylor]: Taking taylor expansion of im in re 10.341 * [backup-simplify]: Simplify im into im 10.341 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.341 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.341 * [taylor]: Taking taylor expansion of -1 in re 10.341 * [backup-simplify]: Simplify -1 into -1 10.341 * [taylor]: Taking taylor expansion of im in re 10.341 * [backup-simplify]: Simplify im into im 10.341 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.342 * [backup-simplify]: Simplify (* -1 -1) into 1 10.342 * [backup-simplify]: Simplify (+ 1 0) into 1 10.342 * [backup-simplify]: Simplify (sqrt 1) into 1 10.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.345 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.345 * [backup-simplify]: Simplify (+ 0 0) into 0 10.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.346 * [backup-simplify]: Simplify (log 1) into 0 10.346 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 10.346 * [taylor]: Taking taylor expansion of (/ -1 base) in re 10.346 * [taylor]: Taking taylor expansion of -1 in re 10.346 * [backup-simplify]: Simplify -1 into -1 10.346 * [taylor]: Taking taylor expansion of base in re 10.346 * [backup-simplify]: Simplify base into base 10.346 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 10.347 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 10.347 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 10.347 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 10.348 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ -1 base))) into (* -1 (/ (log re) (log (/ -1 base)))) 10.348 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in re 10.348 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 10.348 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.348 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.348 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.348 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.348 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.348 * [taylor]: Taking taylor expansion of -1 in re 10.348 * [backup-simplify]: Simplify -1 into -1 10.348 * [taylor]: Taking taylor expansion of re in re 10.348 * [backup-simplify]: Simplify 0 into 0 10.348 * [backup-simplify]: Simplify 1 into 1 10.348 * [backup-simplify]: Simplify (/ -1 1) into -1 10.349 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.349 * [taylor]: Taking taylor expansion of -1 in re 10.349 * [backup-simplify]: Simplify -1 into -1 10.349 * [taylor]: Taking taylor expansion of re in re 10.349 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify 1 into 1 10.349 * [backup-simplify]: Simplify (/ -1 1) into -1 10.349 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.349 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.349 * [taylor]: Taking taylor expansion of -1 in re 10.349 * [backup-simplify]: Simplify -1 into -1 10.349 * [taylor]: Taking taylor expansion of im in re 10.349 * [backup-simplify]: Simplify im into im 10.349 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.349 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.349 * [taylor]: Taking taylor expansion of -1 in re 10.349 * [backup-simplify]: Simplify -1 into -1 10.349 * [taylor]: Taking taylor expansion of im in re 10.349 * [backup-simplify]: Simplify im into im 10.349 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.350 * [backup-simplify]: Simplify (* -1 -1) into 1 10.350 * [backup-simplify]: Simplify (+ 1 0) into 1 10.351 * [backup-simplify]: Simplify (sqrt 1) into 1 10.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.353 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.354 * [backup-simplify]: Simplify (+ 0 0) into 0 10.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.355 * [backup-simplify]: Simplify (log 1) into 0 10.355 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 10.355 * [taylor]: Taking taylor expansion of (/ -1 base) in re 10.355 * [taylor]: Taking taylor expansion of -1 in re 10.355 * [backup-simplify]: Simplify -1 into -1 10.355 * [taylor]: Taking taylor expansion of base in re 10.355 * [backup-simplify]: Simplify base into base 10.355 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 10.355 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 10.356 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 10.356 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 10.356 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ -1 base))) into (* -1 (/ (log re) (log (/ -1 base)))) 10.356 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ -1 base)))) in im 10.356 * [taylor]: Taking taylor expansion of -1 in im 10.356 * [backup-simplify]: Simplify -1 into -1 10.356 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ -1 base))) in im 10.356 * [taylor]: Taking taylor expansion of (log re) in im 10.357 * [taylor]: Taking taylor expansion of re in im 10.357 * [backup-simplify]: Simplify re into re 10.357 * [backup-simplify]: Simplify (log re) into (log re) 10.357 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 10.357 * [taylor]: Taking taylor expansion of (/ -1 base) in im 10.357 * [taylor]: Taking taylor expansion of -1 in im 10.357 * [backup-simplify]: Simplify -1 into -1 10.357 * [taylor]: Taking taylor expansion of base in im 10.357 * [backup-simplify]: Simplify base into base 10.357 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 10.357 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 10.357 * [backup-simplify]: Simplify (/ (log re) (log (/ -1 base))) into (/ (log re) (log (/ -1 base))) 10.357 * [backup-simplify]: Simplify (* -1 (/ (log re) (log (/ -1 base)))) into (* -1 (/ (log re) (log (/ -1 base)))) 10.357 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ -1 base)))) in base 10.357 * [taylor]: Taking taylor expansion of -1 in base 10.357 * [backup-simplify]: Simplify -1 into -1 10.357 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ -1 base))) in base 10.357 * [taylor]: Taking taylor expansion of (log re) in base 10.357 * [taylor]: Taking taylor expansion of re in base 10.357 * [backup-simplify]: Simplify re into re 10.357 * [backup-simplify]: Simplify (log re) into (log re) 10.357 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 10.357 * [taylor]: Taking taylor expansion of (/ -1 base) in base 10.357 * [taylor]: Taking taylor expansion of -1 in base 10.357 * [backup-simplify]: Simplify -1 into -1 10.357 * [taylor]: Taking taylor expansion of base in base 10.357 * [backup-simplify]: Simplify 0 into 0 10.357 * [backup-simplify]: Simplify 1 into 1 10.358 * [backup-simplify]: Simplify (/ -1 1) into -1 10.358 * [backup-simplify]: Simplify (log -1) into (log -1) 10.359 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 10.360 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 10.360 * [backup-simplify]: Simplify (/ (log re) (- (log -1) (log base))) into (/ (log re) (- (log -1) (log base))) 10.361 * [backup-simplify]: Simplify (* -1 (/ (log re) (- (log -1) (log base)))) into (* -1 (/ (log re) (- (log -1) (log base)))) 10.361 * [backup-simplify]: Simplify (* -1 (/ (log re) (- (log -1) (log base)))) into (* -1 (/ (log re) (- (log -1) (log base)))) 10.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 10.363 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 10.364 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 10.364 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (* -1 (/ (log re) (log (/ -1 base)))) (/ 0 (log (/ -1 base)))))) into 0 10.364 * [taylor]: Taking taylor expansion of 0 in im 10.364 * [backup-simplify]: Simplify 0 into 0 10.364 * [taylor]: Taking taylor expansion of 0 in base 10.364 * [backup-simplify]: Simplify 0 into 0 10.364 * [backup-simplify]: Simplify 0 into 0 10.365 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 10.365 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 10.366 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 10.366 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (/ (log re) (log (/ -1 base))) (/ 0 (log (/ -1 base)))))) into 0 10.366 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (log (/ -1 base))))) into 0 10.366 * [taylor]: Taking taylor expansion of 0 in base 10.366 * [backup-simplify]: Simplify 0 into 0 10.367 * [backup-simplify]: Simplify 0 into 0 10.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 10.368 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 10.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.370 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 10.371 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 10.372 * [backup-simplify]: Simplify (- (/ 0 (- (log -1) (log base))) (+ (* (/ (log re) (- (log -1) (log base))) (/ 0 (- (log -1) (log base)))))) into 0 10.373 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (- (log -1) (log base))))) into 0 10.373 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.375 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.375 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.376 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.377 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.378 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 10.379 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 10.380 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 10.380 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log (/ -1 base))) (+ (* (* -1 (/ (log re) (log (/ -1 base)))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into (* 1/2 (/ 1 (* (pow im 2) (log (/ -1 base))))) 10.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow im 2) (log (/ -1 base))))) in im 10.380 * [taylor]: Taking taylor expansion of 1/2 in im 10.380 * [backup-simplify]: Simplify 1/2 into 1/2 10.381 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (log (/ -1 base)))) in im 10.381 * [taylor]: Taking taylor expansion of (* (pow im 2) (log (/ -1 base))) in im 10.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.381 * [taylor]: Taking taylor expansion of im in im 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify 1 into 1 10.381 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 10.381 * [taylor]: Taking taylor expansion of (/ -1 base) in im 10.381 * [taylor]: Taking taylor expansion of -1 in im 10.381 * [backup-simplify]: Simplify -1 into -1 10.381 * [taylor]: Taking taylor expansion of base in im 10.381 * [backup-simplify]: Simplify base into base 10.381 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 10.381 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 10.381 * [backup-simplify]: Simplify (* 1 1) into 1 10.381 * [backup-simplify]: Simplify (* 1 (log (/ -1 base))) into (log (/ -1 base)) 10.381 * [backup-simplify]: Simplify (/ 1 (log (/ -1 base))) into (/ 1 (log (/ -1 base))) 10.382 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 10.382 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 10.383 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 10.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.385 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 10.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (/ -1 base))))) into 0 10.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (/ -1 base)))) into 0 10.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ -1 base))) (/ 0 (log (/ -1 base)))))) into 0 10.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ -1 base))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into 0 10.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log (/ -1 base)))))) into 0 10.388 * [taylor]: Taking taylor expansion of 0 in base 10.388 * [backup-simplify]: Simplify 0 into 0 10.388 * [backup-simplify]: Simplify 0 into 0 10.388 * [taylor]: Taking taylor expansion of 0 in base 10.388 * [backup-simplify]: Simplify 0 into 0 10.388 * [backup-simplify]: Simplify 0 into 0 10.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 10.390 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 10.391 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 10.391 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (/ (log re) (log (/ -1 base))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into 0 10.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (log re) (log (/ -1 base)))))) into 0 10.392 * [taylor]: Taking taylor expansion of 0 in base 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify (* -1 (/ (log (/ 1 (- re))) (- (log -1) (log (/ 1 (- base)))))) into (* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))) 10.393 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 10.393 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 10.393 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 10.393 * [taylor]: Taking taylor expansion of (hypot re im) in im 10.393 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.393 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 10.393 * [taylor]: Taking taylor expansion of (* re re) in im 10.393 * [taylor]: Taking taylor expansion of re in im 10.393 * [backup-simplify]: Simplify re into re 10.393 * [taylor]: Taking taylor expansion of re in im 10.393 * [backup-simplify]: Simplify re into re 10.393 * [taylor]: Taking taylor expansion of (* im im) in im 10.393 * [taylor]: Taking taylor expansion of im in im 10.393 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify 1 into 1 10.393 * [taylor]: Taking taylor expansion of im in im 10.393 * [backup-simplify]: Simplify 0 into 0 10.393 * [backup-simplify]: Simplify 1 into 1 10.393 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.394 * [backup-simplify]: Simplify (* 0 0) into 0 10.394 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.394 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.394 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.394 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.395 * [backup-simplify]: Simplify (+ 0 0) into 0 10.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.395 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.395 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.395 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.395 * [taylor]: Taking taylor expansion of (* re re) in re 10.395 * [taylor]: Taking taylor expansion of re in re 10.395 * [backup-simplify]: Simplify 0 into 0 10.395 * [backup-simplify]: Simplify 1 into 1 10.395 * [taylor]: Taking taylor expansion of re in re 10.395 * [backup-simplify]: Simplify 0 into 0 10.395 * [backup-simplify]: Simplify 1 into 1 10.395 * [taylor]: Taking taylor expansion of (* im im) in re 10.395 * [taylor]: Taking taylor expansion of im in re 10.395 * [backup-simplify]: Simplify im into im 10.395 * [taylor]: Taking taylor expansion of im in re 10.395 * [backup-simplify]: Simplify im into im 10.396 * [backup-simplify]: Simplify (* 0 0) into 0 10.396 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.396 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.396 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.397 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.397 * [backup-simplify]: Simplify (+ 0 0) into 0 10.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.397 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.397 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.397 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.397 * [taylor]: Taking taylor expansion of (* re re) in re 10.397 * [taylor]: Taking taylor expansion of re in re 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 1 into 1 10.397 * [taylor]: Taking taylor expansion of re in re 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 1 into 1 10.397 * [taylor]: Taking taylor expansion of (* im im) in re 10.397 * [taylor]: Taking taylor expansion of im in re 10.397 * [backup-simplify]: Simplify im into im 10.397 * [taylor]: Taking taylor expansion of im in re 10.397 * [backup-simplify]: Simplify im into im 10.398 * [backup-simplify]: Simplify (* 0 0) into 0 10.398 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.398 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.398 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.399 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.399 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.399 * [backup-simplify]: Simplify (+ 0 0) into 0 10.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.399 * [taylor]: Taking taylor expansion of im in im 10.399 * [backup-simplify]: Simplify 0 into 0 10.399 * [backup-simplify]: Simplify 1 into 1 10.399 * [backup-simplify]: Simplify 0 into 0 10.400 * [taylor]: Taking taylor expansion of 0 in im 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [backup-simplify]: Simplify 0 into 0 10.400 * [backup-simplify]: Simplify 1 into 1 10.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.401 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.401 * [backup-simplify]: Simplify (+ 1 0) into 1 10.402 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.402 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.402 * [taylor]: Taking taylor expansion of 1/2 in im 10.402 * [backup-simplify]: Simplify 1/2 into 1/2 10.402 * [taylor]: Taking taylor expansion of im in im 10.402 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify 1 into 1 10.403 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.403 * [backup-simplify]: Simplify 0 into 0 10.403 * [backup-simplify]: Simplify 0 into 0 10.404 * [backup-simplify]: Simplify 0 into 0 10.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.405 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.405 * [backup-simplify]: Simplify (+ 0 0) into 0 10.406 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.406 * [taylor]: Taking taylor expansion of 0 in im 10.406 * [backup-simplify]: Simplify 0 into 0 10.406 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.407 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.407 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 10.407 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 10.407 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 10.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.407 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 10.407 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 10.407 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.407 * [taylor]: Taking taylor expansion of re in im 10.407 * [backup-simplify]: Simplify re into re 10.407 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.407 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.407 * [taylor]: Taking taylor expansion of re in im 10.407 * [backup-simplify]: Simplify re into re 10.407 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.407 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 10.407 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.407 * [taylor]: Taking taylor expansion of im in im 10.407 * [backup-simplify]: Simplify 0 into 0 10.407 * [backup-simplify]: Simplify 1 into 1 10.408 * [backup-simplify]: Simplify (/ 1 1) into 1 10.408 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.408 * [taylor]: Taking taylor expansion of im in im 10.408 * [backup-simplify]: Simplify 0 into 0 10.408 * [backup-simplify]: Simplify 1 into 1 10.408 * [backup-simplify]: Simplify (/ 1 1) into 1 10.409 * [backup-simplify]: Simplify (* 1 1) into 1 10.409 * [backup-simplify]: Simplify (+ 0 1) into 1 10.409 * [backup-simplify]: Simplify (sqrt 1) into 1 10.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.411 * [backup-simplify]: Simplify (+ 0 0) into 0 10.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.412 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.412 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.412 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.412 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.412 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.412 * [taylor]: Taking taylor expansion of re in re 10.412 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify 1 into 1 10.413 * [backup-simplify]: Simplify (/ 1 1) into 1 10.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.413 * [taylor]: Taking taylor expansion of re in re 10.413 * [backup-simplify]: Simplify 0 into 0 10.413 * [backup-simplify]: Simplify 1 into 1 10.413 * [backup-simplify]: Simplify (/ 1 1) into 1 10.413 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.413 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.413 * [taylor]: Taking taylor expansion of im in re 10.413 * [backup-simplify]: Simplify im into im 10.413 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.413 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.413 * [taylor]: Taking taylor expansion of im in re 10.413 * [backup-simplify]: Simplify im into im 10.413 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.414 * [backup-simplify]: Simplify (* 1 1) into 1 10.414 * [backup-simplify]: Simplify (+ 1 0) into 1 10.414 * [backup-simplify]: Simplify (sqrt 1) into 1 10.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.417 * [backup-simplify]: Simplify (+ 0 0) into 0 10.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.417 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.418 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.418 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.418 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.418 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.418 * [taylor]: Taking taylor expansion of re in re 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify 1 into 1 10.418 * [backup-simplify]: Simplify (/ 1 1) into 1 10.418 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.418 * [taylor]: Taking taylor expansion of re in re 10.418 * [backup-simplify]: Simplify 0 into 0 10.418 * [backup-simplify]: Simplify 1 into 1 10.418 * [backup-simplify]: Simplify (/ 1 1) into 1 10.418 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.418 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.418 * [taylor]: Taking taylor expansion of im in re 10.419 * [backup-simplify]: Simplify im into im 10.419 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.419 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.419 * [taylor]: Taking taylor expansion of im in re 10.419 * [backup-simplify]: Simplify im into im 10.419 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.419 * [backup-simplify]: Simplify (* 1 1) into 1 10.419 * [backup-simplify]: Simplify (+ 1 0) into 1 10.420 * [backup-simplify]: Simplify (sqrt 1) into 1 10.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.422 * [backup-simplify]: Simplify (+ 0 0) into 0 10.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.423 * [taylor]: Taking taylor expansion of 1 in im 10.423 * [backup-simplify]: Simplify 1 into 1 10.423 * [taylor]: Taking taylor expansion of 0 in im 10.423 * [backup-simplify]: Simplify 0 into 0 10.423 * [backup-simplify]: Simplify 1 into 1 10.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.425 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 10.426 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.427 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.427 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.427 * [taylor]: Taking taylor expansion of 1/2 in im 10.427 * [backup-simplify]: Simplify 1/2 into 1/2 10.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.427 * [taylor]: Taking taylor expansion of im in im 10.427 * [backup-simplify]: Simplify 0 into 0 10.427 * [backup-simplify]: Simplify 1 into 1 10.427 * [backup-simplify]: Simplify (* 1 1) into 1 10.428 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.429 * [backup-simplify]: Simplify 0 into 0 10.429 * [backup-simplify]: Simplify 0 into 0 10.429 * [backup-simplify]: Simplify 0 into 0 10.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.432 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 10.432 * [backup-simplify]: Simplify (+ 0 0) into 0 10.433 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.433 * [taylor]: Taking taylor expansion of 0 in im 10.433 * [backup-simplify]: Simplify 0 into 0 10.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.435 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify 0 into 0 10.435 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.435 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 10.435 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 10.435 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 10.435 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.435 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 10.435 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 10.435 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.435 * [taylor]: Taking taylor expansion of -1 in im 10.435 * [backup-simplify]: Simplify -1 into -1 10.435 * [taylor]: Taking taylor expansion of re in im 10.435 * [backup-simplify]: Simplify re into re 10.435 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.435 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.435 * [taylor]: Taking taylor expansion of -1 in im 10.435 * [backup-simplify]: Simplify -1 into -1 10.435 * [taylor]: Taking taylor expansion of re in im 10.435 * [backup-simplify]: Simplify re into re 10.436 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.436 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 10.436 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.436 * [taylor]: Taking taylor expansion of -1 in im 10.436 * [backup-simplify]: Simplify -1 into -1 10.436 * [taylor]: Taking taylor expansion of im in im 10.436 * [backup-simplify]: Simplify 0 into 0 10.436 * [backup-simplify]: Simplify 1 into 1 10.436 * [backup-simplify]: Simplify (/ -1 1) into -1 10.436 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.436 * [taylor]: Taking taylor expansion of -1 in im 10.436 * [backup-simplify]: Simplify -1 into -1 10.436 * [taylor]: Taking taylor expansion of im in im 10.436 * [backup-simplify]: Simplify 0 into 0 10.436 * [backup-simplify]: Simplify 1 into 1 10.437 * [backup-simplify]: Simplify (/ -1 1) into -1 10.437 * [backup-simplify]: Simplify (* -1 -1) into 1 10.437 * [backup-simplify]: Simplify (+ 0 1) into 1 10.438 * [backup-simplify]: Simplify (sqrt 1) into 1 10.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.440 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.440 * [backup-simplify]: Simplify (+ 0 0) into 0 10.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.441 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.441 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.441 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.441 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.441 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.441 * [taylor]: Taking taylor expansion of -1 in re 10.441 * [backup-simplify]: Simplify -1 into -1 10.441 * [taylor]: Taking taylor expansion of re in re 10.441 * [backup-simplify]: Simplify 0 into 0 10.441 * [backup-simplify]: Simplify 1 into 1 10.441 * [backup-simplify]: Simplify (/ -1 1) into -1 10.441 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.441 * [taylor]: Taking taylor expansion of -1 in re 10.441 * [backup-simplify]: Simplify -1 into -1 10.441 * [taylor]: Taking taylor expansion of re in re 10.441 * [backup-simplify]: Simplify 0 into 0 10.441 * [backup-simplify]: Simplify 1 into 1 10.442 * [backup-simplify]: Simplify (/ -1 1) into -1 10.442 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.442 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.442 * [taylor]: Taking taylor expansion of -1 in re 10.442 * [backup-simplify]: Simplify -1 into -1 10.442 * [taylor]: Taking taylor expansion of im in re 10.442 * [backup-simplify]: Simplify im into im 10.442 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.442 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.442 * [taylor]: Taking taylor expansion of -1 in re 10.442 * [backup-simplify]: Simplify -1 into -1 10.442 * [taylor]: Taking taylor expansion of im in re 10.442 * [backup-simplify]: Simplify im into im 10.442 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.443 * [backup-simplify]: Simplify (* -1 -1) into 1 10.443 * [backup-simplify]: Simplify (+ 1 0) into 1 10.443 * [backup-simplify]: Simplify (sqrt 1) into 1 10.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.445 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.446 * [backup-simplify]: Simplify (+ 0 0) into 0 10.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.446 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.447 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.447 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.447 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.447 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.447 * [taylor]: Taking taylor expansion of -1 in re 10.447 * [backup-simplify]: Simplify -1 into -1 10.447 * [taylor]: Taking taylor expansion of re in re 10.447 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify 1 into 1 10.447 * [backup-simplify]: Simplify (/ -1 1) into -1 10.447 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.447 * [taylor]: Taking taylor expansion of -1 in re 10.447 * [backup-simplify]: Simplify -1 into -1 10.447 * [taylor]: Taking taylor expansion of re in re 10.447 * [backup-simplify]: Simplify 0 into 0 10.447 * [backup-simplify]: Simplify 1 into 1 10.448 * [backup-simplify]: Simplify (/ -1 1) into -1 10.448 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.448 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.448 * [taylor]: Taking taylor expansion of -1 in re 10.448 * [backup-simplify]: Simplify -1 into -1 10.448 * [taylor]: Taking taylor expansion of im in re 10.448 * [backup-simplify]: Simplify im into im 10.448 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.448 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.448 * [taylor]: Taking taylor expansion of -1 in re 10.448 * [backup-simplify]: Simplify -1 into -1 10.448 * [taylor]: Taking taylor expansion of im in re 10.448 * [backup-simplify]: Simplify im into im 10.448 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.448 * [backup-simplify]: Simplify (* -1 -1) into 1 10.449 * [backup-simplify]: Simplify (+ 1 0) into 1 10.449 * [backup-simplify]: Simplify (sqrt 1) into 1 10.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.451 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.452 * [backup-simplify]: Simplify (+ 0 0) into 0 10.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.452 * [taylor]: Taking taylor expansion of 1 in im 10.452 * [backup-simplify]: Simplify 1 into 1 10.452 * [taylor]: Taking taylor expansion of 0 in im 10.452 * [backup-simplify]: Simplify 0 into 0 10.453 * [backup-simplify]: Simplify 1 into 1 10.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.455 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.455 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.456 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.457 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.457 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.457 * [taylor]: Taking taylor expansion of 1/2 in im 10.457 * [backup-simplify]: Simplify 1/2 into 1/2 10.457 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.457 * [taylor]: Taking taylor expansion of im in im 10.457 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify 1 into 1 10.457 * [backup-simplify]: Simplify (* 1 1) into 1 10.458 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.459 * [backup-simplify]: Simplify 0 into 0 10.459 * [backup-simplify]: Simplify 0 into 0 10.459 * [backup-simplify]: Simplify 0 into 0 10.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.462 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.462 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.462 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.463 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 10.463 * [backup-simplify]: Simplify (+ 0 0) into 0 10.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.463 * [taylor]: Taking taylor expansion of 0 in im 10.464 * [backup-simplify]: Simplify 0 into 0 10.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.466 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1) 10.466 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 10.466 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 10.466 * [taylor]: Taking taylor expansion of (hypot re im) in im 10.466 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.466 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 10.466 * [taylor]: Taking taylor expansion of (* re re) in im 10.466 * [taylor]: Taking taylor expansion of re in im 10.466 * [backup-simplify]: Simplify re into re 10.466 * [taylor]: Taking taylor expansion of re in im 10.466 * [backup-simplify]: Simplify re into re 10.466 * [taylor]: Taking taylor expansion of (* im im) in im 10.466 * [taylor]: Taking taylor expansion of im in im 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify 1 into 1 10.466 * [taylor]: Taking taylor expansion of im in im 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify 1 into 1 10.466 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.468 * [backup-simplify]: Simplify (* 0 0) into 0 10.469 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.469 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.469 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.470 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.470 * [backup-simplify]: Simplify (+ 0 0) into 0 10.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.470 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.470 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.470 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.470 * [taylor]: Taking taylor expansion of (* re re) in re 10.470 * [taylor]: Taking taylor expansion of re in re 10.470 * [backup-simplify]: Simplify 0 into 0 10.471 * [backup-simplify]: Simplify 1 into 1 10.471 * [taylor]: Taking taylor expansion of re in re 10.471 * [backup-simplify]: Simplify 0 into 0 10.471 * [backup-simplify]: Simplify 1 into 1 10.471 * [taylor]: Taking taylor expansion of (* im im) in re 10.471 * [taylor]: Taking taylor expansion of im in re 10.471 * [backup-simplify]: Simplify im into im 10.471 * [taylor]: Taking taylor expansion of im in re 10.471 * [backup-simplify]: Simplify im into im 10.471 * [backup-simplify]: Simplify (* 0 0) into 0 10.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.471 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.472 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.473 * [backup-simplify]: Simplify (+ 0 0) into 0 10.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.473 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.473 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.473 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.473 * [taylor]: Taking taylor expansion of (* re re) in re 10.473 * [taylor]: Taking taylor expansion of re in re 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify 1 into 1 10.473 * [taylor]: Taking taylor expansion of re in re 10.473 * [backup-simplify]: Simplify 0 into 0 10.473 * [backup-simplify]: Simplify 1 into 1 10.473 * [taylor]: Taking taylor expansion of (* im im) in re 10.473 * [taylor]: Taking taylor expansion of im in re 10.473 * [backup-simplify]: Simplify im into im 10.473 * [taylor]: Taking taylor expansion of im in re 10.473 * [backup-simplify]: Simplify im into im 10.474 * [backup-simplify]: Simplify (* 0 0) into 0 10.474 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.474 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.474 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.474 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.475 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.475 * [backup-simplify]: Simplify (+ 0 0) into 0 10.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.475 * [taylor]: Taking taylor expansion of im in im 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 1 into 1 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [taylor]: Taking taylor expansion of 0 in im 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 0 into 0 10.475 * [backup-simplify]: Simplify 1 into 1 10.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.477 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.477 * [backup-simplify]: Simplify (+ 1 0) into 1 10.478 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.478 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.478 * [taylor]: Taking taylor expansion of 1/2 in im 10.478 * [backup-simplify]: Simplify 1/2 into 1/2 10.478 * [taylor]: Taking taylor expansion of im in im 10.478 * [backup-simplify]: Simplify 0 into 0 10.478 * [backup-simplify]: Simplify 1 into 1 10.478 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.479 * [backup-simplify]: Simplify 0 into 0 10.479 * [backup-simplify]: Simplify 0 into 0 10.479 * [backup-simplify]: Simplify 0 into 0 10.480 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.481 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.482 * [backup-simplify]: Simplify (+ 0 0) into 0 10.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.482 * [taylor]: Taking taylor expansion of 0 in im 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.483 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.483 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 10.483 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 10.483 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 10.483 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.483 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 10.484 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 10.484 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.484 * [taylor]: Taking taylor expansion of re in im 10.484 * [backup-simplify]: Simplify re into re 10.484 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.484 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.484 * [taylor]: Taking taylor expansion of re in im 10.484 * [backup-simplify]: Simplify re into re 10.484 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.484 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 10.484 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.484 * [taylor]: Taking taylor expansion of im in im 10.484 * [backup-simplify]: Simplify 0 into 0 10.484 * [backup-simplify]: Simplify 1 into 1 10.484 * [backup-simplify]: Simplify (/ 1 1) into 1 10.484 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.484 * [taylor]: Taking taylor expansion of im in im 10.484 * [backup-simplify]: Simplify 0 into 0 10.484 * [backup-simplify]: Simplify 1 into 1 10.485 * [backup-simplify]: Simplify (/ 1 1) into 1 10.485 * [backup-simplify]: Simplify (* 1 1) into 1 10.486 * [backup-simplify]: Simplify (+ 0 1) into 1 10.486 * [backup-simplify]: Simplify (sqrt 1) into 1 10.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.489 * [backup-simplify]: Simplify (+ 0 0) into 0 10.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.489 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.490 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.490 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.490 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.490 * [taylor]: Taking taylor expansion of re in re 10.490 * [backup-simplify]: Simplify 0 into 0 10.490 * [backup-simplify]: Simplify 1 into 1 10.490 * [backup-simplify]: Simplify (/ 1 1) into 1 10.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.490 * [taylor]: Taking taylor expansion of re in re 10.490 * [backup-simplify]: Simplify 0 into 0 10.490 * [backup-simplify]: Simplify 1 into 1 10.491 * [backup-simplify]: Simplify (/ 1 1) into 1 10.491 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.491 * [taylor]: Taking taylor expansion of im in re 10.491 * [backup-simplify]: Simplify im into im 10.491 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.491 * [taylor]: Taking taylor expansion of im in re 10.491 * [backup-simplify]: Simplify im into im 10.491 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.491 * [backup-simplify]: Simplify (* 1 1) into 1 10.492 * [backup-simplify]: Simplify (+ 1 0) into 1 10.492 * [backup-simplify]: Simplify (sqrt 1) into 1 10.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.495 * [backup-simplify]: Simplify (+ 0 0) into 0 10.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.495 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.496 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.496 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.496 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.496 * [taylor]: Taking taylor expansion of re in re 10.496 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify 1 into 1 10.496 * [backup-simplify]: Simplify (/ 1 1) into 1 10.496 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.496 * [taylor]: Taking taylor expansion of re in re 10.496 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify 1 into 1 10.497 * [backup-simplify]: Simplify (/ 1 1) into 1 10.497 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.497 * [taylor]: Taking taylor expansion of im in re 10.497 * [backup-simplify]: Simplify im into im 10.497 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.497 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.497 * [taylor]: Taking taylor expansion of im in re 10.497 * [backup-simplify]: Simplify im into im 10.497 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.497 * [backup-simplify]: Simplify (* 1 1) into 1 10.498 * [backup-simplify]: Simplify (+ 1 0) into 1 10.498 * [backup-simplify]: Simplify (sqrt 1) into 1 10.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.501 * [backup-simplify]: Simplify (+ 0 0) into 0 10.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.501 * [taylor]: Taking taylor expansion of 1 in im 10.502 * [backup-simplify]: Simplify 1 into 1 10.502 * [taylor]: Taking taylor expansion of 0 in im 10.502 * [backup-simplify]: Simplify 0 into 0 10.502 * [backup-simplify]: Simplify 1 into 1 10.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.505 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 10.505 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.507 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.507 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.507 * [taylor]: Taking taylor expansion of 1/2 in im 10.507 * [backup-simplify]: Simplify 1/2 into 1/2 10.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.507 * [taylor]: Taking taylor expansion of im in im 10.507 * [backup-simplify]: Simplify 0 into 0 10.507 * [backup-simplify]: Simplify 1 into 1 10.507 * [backup-simplify]: Simplify (* 1 1) into 1 10.508 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 0 into 0 10.509 * [backup-simplify]: Simplify 0 into 0 10.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.513 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 10.513 * [backup-simplify]: Simplify (+ 0 0) into 0 10.514 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.514 * [taylor]: Taking taylor expansion of 0 in im 10.514 * [backup-simplify]: Simplify 0 into 0 10.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.516 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.516 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 10.516 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 10.517 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 10.517 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.517 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 10.517 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 10.517 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.517 * [taylor]: Taking taylor expansion of -1 in im 10.517 * [backup-simplify]: Simplify -1 into -1 10.517 * [taylor]: Taking taylor expansion of re in im 10.517 * [backup-simplify]: Simplify re into re 10.517 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.517 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.517 * [taylor]: Taking taylor expansion of -1 in im 10.517 * [backup-simplify]: Simplify -1 into -1 10.517 * [taylor]: Taking taylor expansion of re in im 10.517 * [backup-simplify]: Simplify re into re 10.517 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.517 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 10.517 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.517 * [taylor]: Taking taylor expansion of -1 in im 10.517 * [backup-simplify]: Simplify -1 into -1 10.517 * [taylor]: Taking taylor expansion of im in im 10.517 * [backup-simplify]: Simplify 0 into 0 10.517 * [backup-simplify]: Simplify 1 into 1 10.518 * [backup-simplify]: Simplify (/ -1 1) into -1 10.518 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.518 * [taylor]: Taking taylor expansion of -1 in im 10.518 * [backup-simplify]: Simplify -1 into -1 10.518 * [taylor]: Taking taylor expansion of im in im 10.518 * [backup-simplify]: Simplify 0 into 0 10.518 * [backup-simplify]: Simplify 1 into 1 10.518 * [backup-simplify]: Simplify (/ -1 1) into -1 10.519 * [backup-simplify]: Simplify (* -1 -1) into 1 10.519 * [backup-simplify]: Simplify (+ 0 1) into 1 10.520 * [backup-simplify]: Simplify (sqrt 1) into 1 10.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.522 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.523 * [backup-simplify]: Simplify (+ 0 0) into 0 10.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.523 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.524 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.524 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.524 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.524 * [taylor]: Taking taylor expansion of -1 in re 10.524 * [backup-simplify]: Simplify -1 into -1 10.524 * [taylor]: Taking taylor expansion of re in re 10.524 * [backup-simplify]: Simplify 0 into 0 10.524 * [backup-simplify]: Simplify 1 into 1 10.524 * [backup-simplify]: Simplify (/ -1 1) into -1 10.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.524 * [taylor]: Taking taylor expansion of -1 in re 10.524 * [backup-simplify]: Simplify -1 into -1 10.524 * [taylor]: Taking taylor expansion of re in re 10.524 * [backup-simplify]: Simplify 0 into 0 10.524 * [backup-simplify]: Simplify 1 into 1 10.525 * [backup-simplify]: Simplify (/ -1 1) into -1 10.525 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.525 * [taylor]: Taking taylor expansion of -1 in re 10.525 * [backup-simplify]: Simplify -1 into -1 10.525 * [taylor]: Taking taylor expansion of im in re 10.525 * [backup-simplify]: Simplify im into im 10.525 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.525 * [taylor]: Taking taylor expansion of -1 in re 10.525 * [backup-simplify]: Simplify -1 into -1 10.525 * [taylor]: Taking taylor expansion of im in re 10.525 * [backup-simplify]: Simplify im into im 10.525 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.526 * [backup-simplify]: Simplify (* -1 -1) into 1 10.526 * [backup-simplify]: Simplify (+ 1 0) into 1 10.526 * [backup-simplify]: Simplify (sqrt 1) into 1 10.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.529 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.529 * [backup-simplify]: Simplify (+ 0 0) into 0 10.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.530 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.530 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.530 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.530 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.530 * [taylor]: Taking taylor expansion of -1 in re 10.530 * [backup-simplify]: Simplify -1 into -1 10.530 * [taylor]: Taking taylor expansion of re in re 10.531 * [backup-simplify]: Simplify 0 into 0 10.531 * [backup-simplify]: Simplify 1 into 1 10.531 * [backup-simplify]: Simplify (/ -1 1) into -1 10.531 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.531 * [taylor]: Taking taylor expansion of -1 in re 10.531 * [backup-simplify]: Simplify -1 into -1 10.531 * [taylor]: Taking taylor expansion of re in re 10.531 * [backup-simplify]: Simplify 0 into 0 10.531 * [backup-simplify]: Simplify 1 into 1 10.532 * [backup-simplify]: Simplify (/ -1 1) into -1 10.532 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.532 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.532 * [taylor]: Taking taylor expansion of -1 in re 10.532 * [backup-simplify]: Simplify -1 into -1 10.532 * [taylor]: Taking taylor expansion of im in re 10.532 * [backup-simplify]: Simplify im into im 10.532 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.532 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.532 * [taylor]: Taking taylor expansion of -1 in re 10.532 * [backup-simplify]: Simplify -1 into -1 10.532 * [taylor]: Taking taylor expansion of im in re 10.532 * [backup-simplify]: Simplify im into im 10.532 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.533 * [backup-simplify]: Simplify (* -1 -1) into 1 10.533 * [backup-simplify]: Simplify (+ 1 0) into 1 10.534 * [backup-simplify]: Simplify (sqrt 1) into 1 10.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.536 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.536 * [backup-simplify]: Simplify (+ 0 0) into 0 10.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.537 * [taylor]: Taking taylor expansion of 1 in im 10.537 * [backup-simplify]: Simplify 1 into 1 10.537 * [taylor]: Taking taylor expansion of 0 in im 10.537 * [backup-simplify]: Simplify 0 into 0 10.537 * [backup-simplify]: Simplify 1 into 1 10.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.541 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.541 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.542 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.542 * [taylor]: Taking taylor expansion of 1/2 in im 10.542 * [backup-simplify]: Simplify 1/2 into 1/2 10.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.543 * [taylor]: Taking taylor expansion of im in im 10.543 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify 1 into 1 10.543 * [backup-simplify]: Simplify (* 1 1) into 1 10.543 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify 0 into 0 10.545 * [backup-simplify]: Simplify 0 into 0 10.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.548 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.549 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.549 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.549 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 10.549 * [backup-simplify]: Simplify (+ 0 0) into 0 10.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.550 * [taylor]: Taking taylor expansion of 0 in im 10.550 * [backup-simplify]: Simplify 0 into 0 10.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.553 * [backup-simplify]: Simplify 0 into 0 10.553 * [backup-simplify]: Simplify 0 into 0 10.553 * [backup-simplify]: Simplify 0 into 0 10.553 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.553 * * * [progress]: simplifying candidates 10.553 * * * * [progress]: [ 1 / 190 ] simplifiying candidate # 10.553 * * * * [progress]: [ 2 / 190 ] simplifiying candidate # 10.553 * * * * [progress]: [ 3 / 190 ] simplifiying candidate # 10.553 * * * * [progress]: [ 4 / 190 ] simplifiying candidate # 10.553 * * * * [progress]: [ 5 / 190 ] simplifiying candidate # 10.553 * * * * [progress]: [ 6 / 190 ] simplifiying candidate # 10.553 * * * * [progress]: [ 7 / 190 ] simplifiying candidate # 10.553 * * * * [progress]: [ 8 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 9 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 10 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 11 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 12 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 13 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 14 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 15 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 16 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 17 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 18 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 19 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 20 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 21 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 22 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 23 / 190 ] simplifiying candidate # 10.554 * * * * [progress]: [ 24 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 25 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 26 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 27 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 28 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 29 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 30 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 31 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 32 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 33 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 34 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 35 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 36 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 37 / 190 ] simplifiying candidate # 10.555 * * * * [progress]: [ 38 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 39 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 40 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 41 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 42 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 43 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 44 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 45 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 46 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 47 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 48 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 49 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 50 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 51 / 190 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (log base)))> 10.556 * * * * [progress]: [ 52 / 190 ] simplifiying candidate # 10.556 * * * * [progress]: [ 53 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 54 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 55 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 56 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 57 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 58 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 59 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 60 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 61 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 62 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 63 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 64 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 65 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 66 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 67 / 190 ] simplifiying candidate # 10.557 * * * * [progress]: [ 68 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 69 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 70 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 71 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 72 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 73 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 74 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 75 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 76 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 77 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 78 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 79 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 80 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 81 / 190 ] simplifiying candidate # 10.558 * * * * [progress]: [ 82 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 83 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 84 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 85 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 86 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 87 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 88 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 89 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 90 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 91 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 92 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 93 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 94 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 95 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 96 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 97 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 98 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 99 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 100 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 101 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 102 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 103 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 104 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 105 / 190 ] simplifiying candidate # 10.559 * * * * [progress]: [ 106 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 107 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 108 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 109 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 110 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 111 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 112 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 113 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 114 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 115 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 116 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 117 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 118 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 119 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 120 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 121 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 122 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 123 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 124 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 125 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 126 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 127 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 128 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 129 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 130 / 190 ] simplifiying candidate # 10.560 * * * * [progress]: [ 131 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 132 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 133 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 134 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 135 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 136 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 137 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 138 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 139 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 140 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 141 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 142 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 143 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 144 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 145 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 146 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 147 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 148 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 149 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 150 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 151 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 152 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 153 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 154 / 190 ] simplifiying candidate # 10.561 * * * * [progress]: [ 155 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 156 / 190 ] simplifiying candidate #real (real->posit16 (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)))))> 10.562 * * * * [progress]: [ 157 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 158 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 159 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 160 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 161 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 162 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 163 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 164 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 165 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 166 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 167 / 190 ] simplifiying candidate #real (real->posit16 (hypot re im)))))) (log base)))> 10.562 * * * * [progress]: [ 168 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 169 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 170 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 171 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 172 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 173 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 174 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 175 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 176 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 177 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 178 / 190 ] simplifiying candidate #real (real->posit16 (hypot re im)))) (sqrt (hypot re im)))) (log base)))> 10.562 * * * * [progress]: [ 179 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 180 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 181 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 182 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 183 / 190 ] simplifiying candidate # 10.562 * * * * [progress]: [ 184 / 190 ] simplifiying candidate # 10.563 * * * * [progress]: [ 185 / 190 ] simplifiying candidate # 10.563 * * * * [progress]: [ 186 / 190 ] simplifiying candidate # 10.563 * * * * [progress]: [ 187 / 190 ] simplifiying candidate # 10.563 * * * * [progress]: [ 188 / 190 ] simplifiying candidate # 10.563 * * * * [progress]: [ 189 / 190 ] simplifiying candidate # 10.563 * * * * [progress]: [ 190 / 190 ] simplifiying candidate # 10.564 * [simplify]: Simplifying: (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (log1p (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (- (log (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (log base))) (log (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (exp (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (/ (* (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (log base) (log base)) (log base))) (* (cbrt (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (cbrt (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)))) (cbrt (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (* (* (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (sqrt (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (sqrt (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (- (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- (log base)) (/ (+ 1/2 1/2) 1) (/ (log (hypot re im)) (log base)) (/ (+ 1/2 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ 1/2 1/2) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ 1/2 1/2) 1) (/ (log (hypot re im)) (log base)) (/ (+ 1/2 (/ 1 2)) 1) (/ (log (hypot re im)) (log base)) (/ (+ 1/2 (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ 1/2 (/ 1 2)) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ 1/2 (/ 1 2)) 1) (/ (log (hypot re im)) (log base)) (/ (+ 1 1) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (/ 1 2) 1/2) 1) (/ (log (hypot re im)) (log base)) (/ (+ (/ 1 2) 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (/ 1 2) 1/2) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (/ 1 2) 1/2) 1) (/ (log (hypot re im)) (log base)) (/ (+ (/ 1 2) (/ 1 2)) 1) (/ (log (hypot re im)) (log base)) (/ (+ (/ 1 2) (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (/ 1 2) (/ 1 2)) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (/ 1 2) (/ 1 2)) 1) (/ (log (hypot re im)) (log base)) (/ 1/2 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ 1/2 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ 1/2 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ 1 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ 1 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (/ 1 2) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (/ 1 2) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (/ 1 2) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ 2 1) (/ (log (sqrt (hypot re im))) (log base)) (/ 2 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ 2 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ 1 1) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ 1 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ 1 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 1/2) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (* 2 1/2) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (* 2 1/2) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 1) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (* 2 1) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (* 2 1) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (/ 1 2)) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (* 2 (/ 1 2)) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (* 2 (/ 1 2)) 1) (/ (log (hypot re im)) (log base)) (/ (* (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) 1) (/ (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log base)) (/ (* (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (* (cbrt (log base)) (cbrt (log base)))) (/ (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (log base))) (/ (* (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (sqrt (log base))) (/ (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (log base))) (/ (* (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) 1) (/ (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log base)) (/ (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) 1) (/ (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log base)) (/ (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (log base))) (/ (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (log base))) (/ (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (log base))) (/ (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) 1) (/ (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log base)) (/ 1 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ 1 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ 1 (log base)) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 1) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (cbrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (/ (log base) (sqrt (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (real->posit16 (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) im re (* -1 re) (/ (log im) (log base)) (/ (log (/ 1 re)) (log (/ 1 base))) (* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))) im re (* -1 re) im re (* -1 re) 10.567 * * [simplify]: iteration 0: 177 enodes 10.639 * * [simplify]: iteration 1: 326 enodes 10.710 * * [simplify]: iteration 2: 588 enodes 10.945 * * [simplify]: iteration 3: 1438 enodes 11.678 * * [simplify]: iteration complete: 5000 enodes 11.679 * * [simplify]: Extracting #0: cost 71 inf + 0 11.682 * * [simplify]: Extracting #1: cost 713 inf + 5 11.694 * * [simplify]: Extracting #2: cost 1517 inf + 13881 11.738 * * [simplify]: Extracting #3: cost 1143 inf + 144517 11.815 * * [simplify]: Extracting #4: cost 416 inf + 352810 11.925 * * [simplify]: Extracting #5: cost 25 inf + 484039 12.035 * * [simplify]: Extracting #6: cost 0 inf + 492825 12.157 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (cbrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (real->posit16 (hypot re im)) (expm1 (/ (log (hypot re im)) (log base))) (log1p (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (exp (/ (log (hypot re im)) (log base))) (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))) (* (cbrt (/ (log (hypot re im)) (log base))) (cbrt (/ (log (hypot re im)) (log base)))) (cbrt (/ (log (hypot re im)) (log base))) (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))) (sqrt (/ (log (hypot re im)) (log base))) (sqrt (/ (log (hypot re im)) (log base))) (- (log (hypot re im))) (- (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (cbrt (log (hypot re im))) (log base)) (* (/ (cbrt (log (hypot re im))) (cbrt (log base))) (/ (cbrt (log (hypot re im))) (cbrt (log base)))) (/ (cbrt (log (hypot re im))) (cbrt (log base))) (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base))) (/ (cbrt (log (hypot re im))) (sqrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (cbrt (log (hypot re im))) (log base)) (sqrt (log (hypot re im))) (/ (sqrt (log (hypot re im))) (log base)) (/ (/ (sqrt (log (hypot re im))) (cbrt (log base))) (cbrt (log base))) (/ (sqrt (log (hypot re im))) (cbrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (sqrt (log (hypot re im))) (/ (sqrt (log (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ (/ 1 (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) (/ 1 (log base)) (/ (log base) (log (hypot re im))) (log (hypot re im)) (/ (/ (log (hypot re im)) (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (log (hypot re im)) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (cbrt (log (hypot re im)))) (/ (log base) (sqrt (log (hypot re im)))) (/ (log base) (log (hypot re im))) (real->posit16 (/ (log (hypot re im)) (log base))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) im re (- re) (/ (log im) (log base)) (/ (- (log re)) (- (log base))) (* (/ (log (/ -1 re)) (log base)) -1) im re (- re) im re (- re) 12.180 * * * [progress]: adding candidates to table 12.876 * * [progress]: iteration 3 / 4 12.876 * * * [progress]: picking best candidate 12.938 * * * * [pick]: Picked # 12.938 * * * [progress]: localizing error 12.987 * * * [progress]: generating rewritten candidates 12.987 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 13.016 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 13.042 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 13.314 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 14.517 * * * [progress]: generating series expansions 14.517 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 14.518 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) into (sqrt (hypot re im)) 14.518 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 14.518 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 14.518 * [taylor]: Taking taylor expansion of (hypot re im) in im 14.518 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.518 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 14.518 * [taylor]: Taking taylor expansion of (* re re) in im 14.518 * [taylor]: Taking taylor expansion of re in im 14.518 * [backup-simplify]: Simplify re into re 14.518 * [taylor]: Taking taylor expansion of re in im 14.518 * [backup-simplify]: Simplify re into re 14.518 * [taylor]: Taking taylor expansion of (* im im) in im 14.518 * [taylor]: Taking taylor expansion of im in im 14.518 * [backup-simplify]: Simplify 0 into 0 14.518 * [backup-simplify]: Simplify 1 into 1 14.518 * [taylor]: Taking taylor expansion of im in im 14.518 * [backup-simplify]: Simplify 0 into 0 14.518 * [backup-simplify]: Simplify 1 into 1 14.518 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.519 * [backup-simplify]: Simplify (* 0 0) into 0 14.519 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 14.519 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.519 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.519 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.520 * [backup-simplify]: Simplify (+ 0 0) into 0 14.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.520 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 14.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 14.520 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 14.520 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.520 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.520 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.520 * [taylor]: Taking taylor expansion of (* re re) in re 14.520 * [taylor]: Taking taylor expansion of re in re 14.520 * [backup-simplify]: Simplify 0 into 0 14.520 * [backup-simplify]: Simplify 1 into 1 14.520 * [taylor]: Taking taylor expansion of re in re 14.520 * [backup-simplify]: Simplify 0 into 0 14.520 * [backup-simplify]: Simplify 1 into 1 14.520 * [taylor]: Taking taylor expansion of (* im im) in re 14.520 * [taylor]: Taking taylor expansion of im in re 14.520 * [backup-simplify]: Simplify im into im 14.520 * [taylor]: Taking taylor expansion of im in re 14.520 * [backup-simplify]: Simplify im into im 14.520 * [backup-simplify]: Simplify (* 0 0) into 0 14.520 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.520 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.521 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.521 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.521 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.521 * [backup-simplify]: Simplify (+ 0 0) into 0 14.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.521 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 14.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 14.521 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 14.521 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.522 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.522 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.522 * [taylor]: Taking taylor expansion of (* re re) in re 14.522 * [taylor]: Taking taylor expansion of re in re 14.522 * [backup-simplify]: Simplify 0 into 0 14.522 * [backup-simplify]: Simplify 1 into 1 14.522 * [taylor]: Taking taylor expansion of re in re 14.522 * [backup-simplify]: Simplify 0 into 0 14.522 * [backup-simplify]: Simplify 1 into 1 14.522 * [taylor]: Taking taylor expansion of (* im im) in re 14.522 * [taylor]: Taking taylor expansion of im in re 14.522 * [backup-simplify]: Simplify im into im 14.522 * [taylor]: Taking taylor expansion of im in re 14.522 * [backup-simplify]: Simplify im into im 14.522 * [backup-simplify]: Simplify (* 0 0) into 0 14.522 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.522 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.522 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.523 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.523 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.523 * [backup-simplify]: Simplify (+ 0 0) into 0 14.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.523 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 14.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 14.523 * [taylor]: Taking taylor expansion of (sqrt im) in im 14.523 * [taylor]: Taking taylor expansion of im in im 14.523 * [backup-simplify]: Simplify 0 into 0 14.523 * [backup-simplify]: Simplify 1 into 1 14.523 * [backup-simplify]: Simplify (sqrt 0) into 0 14.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.525 * [backup-simplify]: Simplify 0 into 0 14.525 * [taylor]: Taking taylor expansion of 0 in im 14.525 * [backup-simplify]: Simplify 0 into 0 14.525 * [backup-simplify]: Simplify 0 into 0 14.525 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.525 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.526 * [backup-simplify]: Simplify (+ 1 0) into 1 14.526 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.527 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 14.527 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 14.527 * [taylor]: Taking taylor expansion of 1/4 in im 14.527 * [backup-simplify]: Simplify 1/4 into 1/4 14.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 14.527 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 14.527 * [taylor]: Taking taylor expansion of (pow im 3) in im 14.527 * [taylor]: Taking taylor expansion of im in im 14.527 * [backup-simplify]: Simplify 0 into 0 14.527 * [backup-simplify]: Simplify 1 into 1 14.527 * [backup-simplify]: Simplify (* 1 1) into 1 14.528 * [backup-simplify]: Simplify (* 1 1) into 1 14.528 * [backup-simplify]: Simplify (/ 1 1) into 1 14.528 * [backup-simplify]: Simplify (sqrt 0) into 0 14.529 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.532 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.533 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.533 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.534 * [backup-simplify]: Simplify 0 into 0 14.535 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.535 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.536 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 14.536 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 14.536 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 14.536 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 14.536 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 14.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.536 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 14.536 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 14.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.536 * [taylor]: Taking taylor expansion of re in im 14.536 * [backup-simplify]: Simplify re into re 14.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.536 * [taylor]: Taking taylor expansion of re in im 14.536 * [backup-simplify]: Simplify re into re 14.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.536 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 14.536 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.537 * [taylor]: Taking taylor expansion of im in im 14.537 * [backup-simplify]: Simplify 0 into 0 14.537 * [backup-simplify]: Simplify 1 into 1 14.537 * [backup-simplify]: Simplify (/ 1 1) into 1 14.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.537 * [taylor]: Taking taylor expansion of im in im 14.537 * [backup-simplify]: Simplify 0 into 0 14.537 * [backup-simplify]: Simplify 1 into 1 14.537 * [backup-simplify]: Simplify (/ 1 1) into 1 14.537 * [backup-simplify]: Simplify (* 1 1) into 1 14.538 * [backup-simplify]: Simplify (+ 0 1) into 1 14.538 * [backup-simplify]: Simplify (sqrt 1) into 1 14.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.539 * [backup-simplify]: Simplify (+ 0 0) into 0 14.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.540 * [backup-simplify]: Simplify (sqrt 0) into 0 14.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.541 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 14.541 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.541 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.541 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.541 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.541 * [taylor]: Taking taylor expansion of re in re 14.541 * [backup-simplify]: Simplify 0 into 0 14.541 * [backup-simplify]: Simplify 1 into 1 14.541 * [backup-simplify]: Simplify (/ 1 1) into 1 14.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.541 * [taylor]: Taking taylor expansion of re in re 14.541 * [backup-simplify]: Simplify 0 into 0 14.541 * [backup-simplify]: Simplify 1 into 1 14.542 * [backup-simplify]: Simplify (/ 1 1) into 1 14.542 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.542 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.542 * [taylor]: Taking taylor expansion of im in re 14.542 * [backup-simplify]: Simplify im into im 14.542 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.542 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.542 * [taylor]: Taking taylor expansion of im in re 14.542 * [backup-simplify]: Simplify im into im 14.542 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.542 * [backup-simplify]: Simplify (* 1 1) into 1 14.542 * [backup-simplify]: Simplify (+ 1 0) into 1 14.543 * [backup-simplify]: Simplify (sqrt 1) into 1 14.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.544 * [backup-simplify]: Simplify (+ 0 0) into 0 14.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.545 * [backup-simplify]: Simplify (sqrt 0) into 0 14.546 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.546 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 14.546 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.546 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.546 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.546 * [taylor]: Taking taylor expansion of re in re 14.546 * [backup-simplify]: Simplify 0 into 0 14.546 * [backup-simplify]: Simplify 1 into 1 14.546 * [backup-simplify]: Simplify (/ 1 1) into 1 14.546 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.546 * [taylor]: Taking taylor expansion of re in re 14.546 * [backup-simplify]: Simplify 0 into 0 14.546 * [backup-simplify]: Simplify 1 into 1 14.546 * [backup-simplify]: Simplify (/ 1 1) into 1 14.546 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.546 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.546 * [taylor]: Taking taylor expansion of im in re 14.546 * [backup-simplify]: Simplify im into im 14.546 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.546 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.546 * [taylor]: Taking taylor expansion of im in re 14.546 * [backup-simplify]: Simplify im into im 14.547 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.547 * [backup-simplify]: Simplify (* 1 1) into 1 14.547 * [backup-simplify]: Simplify (+ 1 0) into 1 14.548 * [backup-simplify]: Simplify (sqrt 1) into 1 14.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.550 * [backup-simplify]: Simplify (+ 0 0) into 0 14.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.551 * [backup-simplify]: Simplify (sqrt 0) into 0 14.552 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.552 * [taylor]: Taking taylor expansion of 0 in im 14.552 * [backup-simplify]: Simplify 0 into 0 14.552 * [taylor]: Taking taylor expansion of +nan.0 in im 14.552 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.552 * [backup-simplify]: Simplify 0 into 0 14.555 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.555 * [taylor]: Taking taylor expansion of +nan.0 in im 14.555 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.555 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.556 * [backup-simplify]: Simplify 0 into 0 14.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.558 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 14.558 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.560 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.562 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 14.562 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 14.562 * [taylor]: Taking taylor expansion of +nan.0 in im 14.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.562 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 14.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 14.562 * [taylor]: Taking taylor expansion of 1/2 in im 14.562 * [backup-simplify]: Simplify 1/2 into 1/2 14.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.562 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.562 * [taylor]: Taking taylor expansion of im in im 14.562 * [backup-simplify]: Simplify 0 into 0 14.562 * [backup-simplify]: Simplify 1 into 1 14.563 * [backup-simplify]: Simplify (* 1 1) into 1 14.563 * [backup-simplify]: Simplify (/ 1 1) into 1 14.563 * [taylor]: Taking taylor expansion of +nan.0 in im 14.563 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.566 * [backup-simplify]: Simplify (+ 0 0) into 0 14.566 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.567 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.567 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 14.567 * [backup-simplify]: Simplify 0 into 0 14.568 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.568 * [backup-simplify]: Simplify 0 into 0 14.568 * [backup-simplify]: Simplify 0 into 0 14.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.571 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 14.571 * [backup-simplify]: Simplify (+ 0 0) into 0 14.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.573 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 14.573 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 14.573 * [taylor]: Taking taylor expansion of +nan.0 in im 14.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.574 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 14.574 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 14.574 * [taylor]: Taking taylor expansion of +nan.0 in im 14.574 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.574 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.574 * [taylor]: Taking taylor expansion of im in im 14.574 * [backup-simplify]: Simplify 0 into 0 14.574 * [backup-simplify]: Simplify 1 into 1 14.574 * [backup-simplify]: Simplify (* 1 1) into 1 14.575 * [backup-simplify]: Simplify (/ 1 1) into 1 14.575 * [taylor]: Taking taylor expansion of (- +nan.0) in im 14.575 * [taylor]: Taking taylor expansion of +nan.0 in im 14.575 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.577 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 14.577 * [backup-simplify]: Simplify (+ 0 0) into 0 14.578 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 14.578 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 14.579 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 14.579 * [backup-simplify]: Simplify 0 into 0 14.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.582 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.583 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 14.585 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 14.586 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.587 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 14.587 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 14.587 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 14.587 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 14.587 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 14.587 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.587 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 14.587 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 14.587 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.587 * [taylor]: Taking taylor expansion of -1 in im 14.587 * [backup-simplify]: Simplify -1 into -1 14.587 * [taylor]: Taking taylor expansion of re in im 14.587 * [backup-simplify]: Simplify re into re 14.587 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.587 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.587 * [taylor]: Taking taylor expansion of -1 in im 14.587 * [backup-simplify]: Simplify -1 into -1 14.588 * [taylor]: Taking taylor expansion of re in im 14.588 * [backup-simplify]: Simplify re into re 14.588 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.588 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 14.588 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.588 * [taylor]: Taking taylor expansion of -1 in im 14.588 * [backup-simplify]: Simplify -1 into -1 14.588 * [taylor]: Taking taylor expansion of im in im 14.588 * [backup-simplify]: Simplify 0 into 0 14.588 * [backup-simplify]: Simplify 1 into 1 14.588 * [backup-simplify]: Simplify (/ -1 1) into -1 14.588 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.588 * [taylor]: Taking taylor expansion of -1 in im 14.588 * [backup-simplify]: Simplify -1 into -1 14.588 * [taylor]: Taking taylor expansion of im in im 14.588 * [backup-simplify]: Simplify 0 into 0 14.588 * [backup-simplify]: Simplify 1 into 1 14.589 * [backup-simplify]: Simplify (/ -1 1) into -1 14.589 * [backup-simplify]: Simplify (* -1 -1) into 1 14.590 * [backup-simplify]: Simplify (+ 0 1) into 1 14.590 * [backup-simplify]: Simplify (sqrt 1) into 1 14.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.592 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.593 * [backup-simplify]: Simplify (+ 0 0) into 0 14.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.594 * [backup-simplify]: Simplify (sqrt 0) into 0 14.595 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.595 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 14.595 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.595 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.595 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.595 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.595 * [taylor]: Taking taylor expansion of -1 in re 14.595 * [backup-simplify]: Simplify -1 into -1 14.595 * [taylor]: Taking taylor expansion of re in re 14.596 * [backup-simplify]: Simplify 0 into 0 14.596 * [backup-simplify]: Simplify 1 into 1 14.596 * [backup-simplify]: Simplify (/ -1 1) into -1 14.596 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.596 * [taylor]: Taking taylor expansion of -1 in re 14.596 * [backup-simplify]: Simplify -1 into -1 14.596 * [taylor]: Taking taylor expansion of re in re 14.596 * [backup-simplify]: Simplify 0 into 0 14.596 * [backup-simplify]: Simplify 1 into 1 14.596 * [backup-simplify]: Simplify (/ -1 1) into -1 14.597 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.597 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.597 * [taylor]: Taking taylor expansion of -1 in re 14.597 * [backup-simplify]: Simplify -1 into -1 14.597 * [taylor]: Taking taylor expansion of im in re 14.597 * [backup-simplify]: Simplify im into im 14.597 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.597 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.597 * [taylor]: Taking taylor expansion of -1 in re 14.597 * [backup-simplify]: Simplify -1 into -1 14.597 * [taylor]: Taking taylor expansion of im in re 14.597 * [backup-simplify]: Simplify im into im 14.597 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.597 * [backup-simplify]: Simplify (* -1 -1) into 1 14.598 * [backup-simplify]: Simplify (+ 1 0) into 1 14.598 * [backup-simplify]: Simplify (sqrt 1) into 1 14.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.600 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.601 * [backup-simplify]: Simplify (+ 0 0) into 0 14.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.602 * [backup-simplify]: Simplify (sqrt 0) into 0 14.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.603 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 14.603 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.603 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.603 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.603 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.603 * [taylor]: Taking taylor expansion of -1 in re 14.603 * [backup-simplify]: Simplify -1 into -1 14.603 * [taylor]: Taking taylor expansion of re in re 14.603 * [backup-simplify]: Simplify 0 into 0 14.603 * [backup-simplify]: Simplify 1 into 1 14.604 * [backup-simplify]: Simplify (/ -1 1) into -1 14.604 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.604 * [taylor]: Taking taylor expansion of -1 in re 14.604 * [backup-simplify]: Simplify -1 into -1 14.604 * [taylor]: Taking taylor expansion of re in re 14.604 * [backup-simplify]: Simplify 0 into 0 14.604 * [backup-simplify]: Simplify 1 into 1 14.604 * [backup-simplify]: Simplify (/ -1 1) into -1 14.604 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.604 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.604 * [taylor]: Taking taylor expansion of -1 in re 14.604 * [backup-simplify]: Simplify -1 into -1 14.604 * [taylor]: Taking taylor expansion of im in re 14.604 * [backup-simplify]: Simplify im into im 14.605 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.605 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.605 * [taylor]: Taking taylor expansion of -1 in re 14.605 * [backup-simplify]: Simplify -1 into -1 14.605 * [taylor]: Taking taylor expansion of im in re 14.605 * [backup-simplify]: Simplify im into im 14.605 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.605 * [backup-simplify]: Simplify (* -1 -1) into 1 14.605 * [backup-simplify]: Simplify (+ 1 0) into 1 14.606 * [backup-simplify]: Simplify (sqrt 1) into 1 14.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.608 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.608 * [backup-simplify]: Simplify (+ 0 0) into 0 14.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.609 * [backup-simplify]: Simplify (sqrt 0) into 0 14.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.611 * [taylor]: Taking taylor expansion of 0 in im 14.611 * [backup-simplify]: Simplify 0 into 0 14.611 * [taylor]: Taking taylor expansion of +nan.0 in im 14.611 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.611 * [backup-simplify]: Simplify 0 into 0 14.613 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.613 * [taylor]: Taking taylor expansion of +nan.0 in im 14.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.613 * [backup-simplify]: Simplify 0 into 0 14.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.614 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 14.614 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 14.615 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.616 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.617 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 14.617 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 14.617 * [taylor]: Taking taylor expansion of +nan.0 in im 14.617 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.617 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 14.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 14.617 * [taylor]: Taking taylor expansion of 1/2 in im 14.617 * [backup-simplify]: Simplify 1/2 into 1/2 14.617 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.617 * [taylor]: Taking taylor expansion of im in im 14.617 * [backup-simplify]: Simplify 0 into 0 14.617 * [backup-simplify]: Simplify 1 into 1 14.617 * [backup-simplify]: Simplify (* 1 1) into 1 14.618 * [backup-simplify]: Simplify (/ 1 1) into 1 14.618 * [taylor]: Taking taylor expansion of +nan.0 in im 14.618 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.622 * [backup-simplify]: Simplify (+ 0 0) into 0 14.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.623 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.623 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 14.623 * [backup-simplify]: Simplify 0 into 0 14.623 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.623 * [backup-simplify]: Simplify 0 into 0 14.623 * [backup-simplify]: Simplify 0 into 0 14.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.625 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 14.625 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.625 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.625 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 14.626 * [backup-simplify]: Simplify (+ 0 0) into 0 14.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.627 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 14.627 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 14.627 * [taylor]: Taking taylor expansion of +nan.0 in im 14.627 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.627 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 14.627 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 14.627 * [taylor]: Taking taylor expansion of +nan.0 in im 14.627 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.627 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.627 * [taylor]: Taking taylor expansion of im in im 14.627 * [backup-simplify]: Simplify 0 into 0 14.627 * [backup-simplify]: Simplify 1 into 1 14.628 * [backup-simplify]: Simplify (* 1 1) into 1 14.628 * [backup-simplify]: Simplify (/ 1 1) into 1 14.628 * [taylor]: Taking taylor expansion of (- +nan.0) in im 14.628 * [taylor]: Taking taylor expansion of +nan.0 in im 14.628 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.629 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 14.629 * [backup-simplify]: Simplify (+ 0 0) into 0 14.630 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 14.630 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 14.630 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 14.630 * [backup-simplify]: Simplify 0 into 0 14.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.632 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.633 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 14.634 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 14.635 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.635 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 14.635 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 14.635 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) into (sqrt (hypot re im)) 14.635 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 14.635 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 14.635 * [taylor]: Taking taylor expansion of (hypot re im) in im 14.635 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.635 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 14.635 * [taylor]: Taking taylor expansion of (* re re) in im 14.635 * [taylor]: Taking taylor expansion of re in im 14.635 * [backup-simplify]: Simplify re into re 14.636 * [taylor]: Taking taylor expansion of re in im 14.636 * [backup-simplify]: Simplify re into re 14.636 * [taylor]: Taking taylor expansion of (* im im) in im 14.636 * [taylor]: Taking taylor expansion of im in im 14.636 * [backup-simplify]: Simplify 0 into 0 14.636 * [backup-simplify]: Simplify 1 into 1 14.636 * [taylor]: Taking taylor expansion of im in im 14.636 * [backup-simplify]: Simplify 0 into 0 14.636 * [backup-simplify]: Simplify 1 into 1 14.636 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.636 * [backup-simplify]: Simplify (* 0 0) into 0 14.636 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 14.636 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.636 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.637 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.637 * [backup-simplify]: Simplify (+ 0 0) into 0 14.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.637 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 14.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 14.637 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 14.637 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.637 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.637 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.637 * [taylor]: Taking taylor expansion of (* re re) in re 14.637 * [taylor]: Taking taylor expansion of re in re 14.637 * [backup-simplify]: Simplify 0 into 0 14.637 * [backup-simplify]: Simplify 1 into 1 14.637 * [taylor]: Taking taylor expansion of re in re 14.637 * [backup-simplify]: Simplify 0 into 0 14.637 * [backup-simplify]: Simplify 1 into 1 14.637 * [taylor]: Taking taylor expansion of (* im im) in re 14.637 * [taylor]: Taking taylor expansion of im in re 14.637 * [backup-simplify]: Simplify im into im 14.637 * [taylor]: Taking taylor expansion of im in re 14.637 * [backup-simplify]: Simplify im into im 14.637 * [backup-simplify]: Simplify (* 0 0) into 0 14.638 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.638 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.638 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.638 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.638 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.638 * [backup-simplify]: Simplify (+ 0 0) into 0 14.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.639 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 14.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 14.639 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 14.639 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.639 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.639 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.639 * [taylor]: Taking taylor expansion of (* re re) in re 14.639 * [taylor]: Taking taylor expansion of re in re 14.639 * [backup-simplify]: Simplify 0 into 0 14.639 * [backup-simplify]: Simplify 1 into 1 14.639 * [taylor]: Taking taylor expansion of re in re 14.639 * [backup-simplify]: Simplify 0 into 0 14.639 * [backup-simplify]: Simplify 1 into 1 14.639 * [taylor]: Taking taylor expansion of (* im im) in re 14.639 * [taylor]: Taking taylor expansion of im in re 14.639 * [backup-simplify]: Simplify im into im 14.639 * [taylor]: Taking taylor expansion of im in re 14.639 * [backup-simplify]: Simplify im into im 14.639 * [backup-simplify]: Simplify (* 0 0) into 0 14.639 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.639 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.639 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.640 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.640 * [backup-simplify]: Simplify (+ 0 0) into 0 14.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.640 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 14.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 14.640 * [taylor]: Taking taylor expansion of (sqrt im) in im 14.640 * [taylor]: Taking taylor expansion of im in im 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.641 * [backup-simplify]: Simplify (sqrt 0) into 0 14.641 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.641 * [backup-simplify]: Simplify 0 into 0 14.642 * [taylor]: Taking taylor expansion of 0 in im 14.642 * [backup-simplify]: Simplify 0 into 0 14.642 * [backup-simplify]: Simplify 0 into 0 14.642 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.642 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.642 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.643 * [backup-simplify]: Simplify (+ 1 0) into 1 14.643 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.644 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 14.644 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 14.644 * [taylor]: Taking taylor expansion of 1/4 in im 14.644 * [backup-simplify]: Simplify 1/4 into 1/4 14.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 14.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 14.644 * [taylor]: Taking taylor expansion of (pow im 3) in im 14.644 * [taylor]: Taking taylor expansion of im in im 14.644 * [backup-simplify]: Simplify 0 into 0 14.644 * [backup-simplify]: Simplify 1 into 1 14.644 * [backup-simplify]: Simplify (* 1 1) into 1 14.644 * [backup-simplify]: Simplify (* 1 1) into 1 14.644 * [backup-simplify]: Simplify (/ 1 1) into 1 14.645 * [backup-simplify]: Simplify (sqrt 0) into 0 14.645 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.648 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.650 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 14.650 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.650 * [backup-simplify]: Simplify 0 into 0 14.652 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.652 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.652 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 14.652 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 14.652 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 14.652 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 14.652 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 14.653 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.653 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 14.653 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 14.653 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.653 * [taylor]: Taking taylor expansion of re in im 14.653 * [backup-simplify]: Simplify re into re 14.653 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.653 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.653 * [taylor]: Taking taylor expansion of re in im 14.653 * [backup-simplify]: Simplify re into re 14.653 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.653 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 14.653 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.653 * [taylor]: Taking taylor expansion of im in im 14.653 * [backup-simplify]: Simplify 0 into 0 14.653 * [backup-simplify]: Simplify 1 into 1 14.653 * [backup-simplify]: Simplify (/ 1 1) into 1 14.653 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.653 * [taylor]: Taking taylor expansion of im in im 14.653 * [backup-simplify]: Simplify 0 into 0 14.653 * [backup-simplify]: Simplify 1 into 1 14.653 * [backup-simplify]: Simplify (/ 1 1) into 1 14.654 * [backup-simplify]: Simplify (* 1 1) into 1 14.654 * [backup-simplify]: Simplify (+ 0 1) into 1 14.654 * [backup-simplify]: Simplify (sqrt 1) into 1 14.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.656 * [backup-simplify]: Simplify (+ 0 0) into 0 14.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.656 * [backup-simplify]: Simplify (sqrt 0) into 0 14.657 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.657 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 14.657 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.657 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.657 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.657 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.657 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.657 * [taylor]: Taking taylor expansion of re in re 14.657 * [backup-simplify]: Simplify 0 into 0 14.657 * [backup-simplify]: Simplify 1 into 1 14.658 * [backup-simplify]: Simplify (/ 1 1) into 1 14.658 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.658 * [taylor]: Taking taylor expansion of re in re 14.658 * [backup-simplify]: Simplify 0 into 0 14.658 * [backup-simplify]: Simplify 1 into 1 14.658 * [backup-simplify]: Simplify (/ 1 1) into 1 14.658 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.658 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.658 * [taylor]: Taking taylor expansion of im in re 14.658 * [backup-simplify]: Simplify im into im 14.658 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.658 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.658 * [taylor]: Taking taylor expansion of im in re 14.658 * [backup-simplify]: Simplify im into im 14.658 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.658 * [backup-simplify]: Simplify (* 1 1) into 1 14.659 * [backup-simplify]: Simplify (+ 1 0) into 1 14.659 * [backup-simplify]: Simplify (sqrt 1) into 1 14.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.660 * [backup-simplify]: Simplify (+ 0 0) into 0 14.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.661 * [backup-simplify]: Simplify (sqrt 0) into 0 14.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.662 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 14.662 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.662 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.662 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.662 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.662 * [taylor]: Taking taylor expansion of re in re 14.662 * [backup-simplify]: Simplify 0 into 0 14.662 * [backup-simplify]: Simplify 1 into 1 14.662 * [backup-simplify]: Simplify (/ 1 1) into 1 14.662 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.662 * [taylor]: Taking taylor expansion of re in re 14.662 * [backup-simplify]: Simplify 0 into 0 14.662 * [backup-simplify]: Simplify 1 into 1 14.663 * [backup-simplify]: Simplify (/ 1 1) into 1 14.663 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.663 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.663 * [taylor]: Taking taylor expansion of im in re 14.663 * [backup-simplify]: Simplify im into im 14.663 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.663 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.663 * [taylor]: Taking taylor expansion of im in re 14.663 * [backup-simplify]: Simplify im into im 14.663 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.663 * [backup-simplify]: Simplify (* 1 1) into 1 14.663 * [backup-simplify]: Simplify (+ 1 0) into 1 14.664 * [backup-simplify]: Simplify (sqrt 1) into 1 14.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.665 * [backup-simplify]: Simplify (+ 0 0) into 0 14.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.666 * [backup-simplify]: Simplify (sqrt 0) into 0 14.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.667 * [taylor]: Taking taylor expansion of 0 in im 14.667 * [backup-simplify]: Simplify 0 into 0 14.667 * [taylor]: Taking taylor expansion of +nan.0 in im 14.667 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.667 * [backup-simplify]: Simplify 0 into 0 14.669 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.669 * [taylor]: Taking taylor expansion of +nan.0 in im 14.669 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.669 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.669 * [backup-simplify]: Simplify 0 into 0 14.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.670 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 14.671 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.671 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.673 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 14.673 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 14.673 * [taylor]: Taking taylor expansion of +nan.0 in im 14.673 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.673 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 14.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 14.673 * [taylor]: Taking taylor expansion of 1/2 in im 14.673 * [backup-simplify]: Simplify 1/2 into 1/2 14.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.673 * [taylor]: Taking taylor expansion of im in im 14.673 * [backup-simplify]: Simplify 0 into 0 14.673 * [backup-simplify]: Simplify 1 into 1 14.673 * [backup-simplify]: Simplify (* 1 1) into 1 14.673 * [backup-simplify]: Simplify (/ 1 1) into 1 14.673 * [taylor]: Taking taylor expansion of +nan.0 in im 14.673 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.675 * [backup-simplify]: Simplify (+ 0 0) into 0 14.675 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.675 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.676 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 14.676 * [backup-simplify]: Simplify 0 into 0 14.676 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.676 * [backup-simplify]: Simplify 0 into 0 14.676 * [backup-simplify]: Simplify 0 into 0 14.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.678 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 14.678 * [backup-simplify]: Simplify (+ 0 0) into 0 14.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.679 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 14.679 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 14.679 * [taylor]: Taking taylor expansion of +nan.0 in im 14.679 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.679 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 14.679 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 14.679 * [taylor]: Taking taylor expansion of +nan.0 in im 14.679 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.679 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.679 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.679 * [taylor]: Taking taylor expansion of im in im 14.679 * [backup-simplify]: Simplify 0 into 0 14.679 * [backup-simplify]: Simplify 1 into 1 14.680 * [backup-simplify]: Simplify (* 1 1) into 1 14.680 * [backup-simplify]: Simplify (/ 1 1) into 1 14.680 * [taylor]: Taking taylor expansion of (- +nan.0) in im 14.680 * [taylor]: Taking taylor expansion of +nan.0 in im 14.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.681 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 14.682 * [backup-simplify]: Simplify (+ 0 0) into 0 14.682 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 14.682 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 14.682 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 14.683 * [backup-simplify]: Simplify 0 into 0 14.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.684 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.685 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 14.687 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 14.687 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.687 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 14.687 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 14.687 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 14.688 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 14.688 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 14.688 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.688 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 14.688 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 14.688 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.688 * [taylor]: Taking taylor expansion of -1 in im 14.688 * [backup-simplify]: Simplify -1 into -1 14.688 * [taylor]: Taking taylor expansion of re in im 14.688 * [backup-simplify]: Simplify re into re 14.688 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.688 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.688 * [taylor]: Taking taylor expansion of -1 in im 14.688 * [backup-simplify]: Simplify -1 into -1 14.688 * [taylor]: Taking taylor expansion of re in im 14.688 * [backup-simplify]: Simplify re into re 14.688 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.688 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 14.688 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.688 * [taylor]: Taking taylor expansion of -1 in im 14.688 * [backup-simplify]: Simplify -1 into -1 14.688 * [taylor]: Taking taylor expansion of im in im 14.688 * [backup-simplify]: Simplify 0 into 0 14.688 * [backup-simplify]: Simplify 1 into 1 14.688 * [backup-simplify]: Simplify (/ -1 1) into -1 14.688 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.688 * [taylor]: Taking taylor expansion of -1 in im 14.688 * [backup-simplify]: Simplify -1 into -1 14.688 * [taylor]: Taking taylor expansion of im in im 14.688 * [backup-simplify]: Simplify 0 into 0 14.688 * [backup-simplify]: Simplify 1 into 1 14.689 * [backup-simplify]: Simplify (/ -1 1) into -1 14.689 * [backup-simplify]: Simplify (* -1 -1) into 1 14.689 * [backup-simplify]: Simplify (+ 0 1) into 1 14.689 * [backup-simplify]: Simplify (sqrt 1) into 1 14.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.691 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.691 * [backup-simplify]: Simplify (+ 0 0) into 0 14.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.692 * [backup-simplify]: Simplify (sqrt 0) into 0 14.693 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.693 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 14.693 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.694 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.694 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.694 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.694 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.694 * [taylor]: Taking taylor expansion of -1 in re 14.694 * [backup-simplify]: Simplify -1 into -1 14.694 * [taylor]: Taking taylor expansion of re in re 14.694 * [backup-simplify]: Simplify 0 into 0 14.694 * [backup-simplify]: Simplify 1 into 1 14.694 * [backup-simplify]: Simplify (/ -1 1) into -1 14.694 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.694 * [taylor]: Taking taylor expansion of -1 in re 14.694 * [backup-simplify]: Simplify -1 into -1 14.694 * [taylor]: Taking taylor expansion of re in re 14.694 * [backup-simplify]: Simplify 0 into 0 14.694 * [backup-simplify]: Simplify 1 into 1 14.695 * [backup-simplify]: Simplify (/ -1 1) into -1 14.695 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.695 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.695 * [taylor]: Taking taylor expansion of -1 in re 14.695 * [backup-simplify]: Simplify -1 into -1 14.695 * [taylor]: Taking taylor expansion of im in re 14.695 * [backup-simplify]: Simplify im into im 14.695 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.695 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.695 * [taylor]: Taking taylor expansion of -1 in re 14.695 * [backup-simplify]: Simplify -1 into -1 14.695 * [taylor]: Taking taylor expansion of im in re 14.695 * [backup-simplify]: Simplify im into im 14.695 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.696 * [backup-simplify]: Simplify (* -1 -1) into 1 14.696 * [backup-simplify]: Simplify (+ 1 0) into 1 14.697 * [backup-simplify]: Simplify (sqrt 1) into 1 14.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.699 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.700 * [backup-simplify]: Simplify (+ 0 0) into 0 14.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.701 * [backup-simplify]: Simplify (sqrt 0) into 0 14.702 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.702 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 14.702 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.703 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.703 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.703 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.703 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.703 * [taylor]: Taking taylor expansion of -1 in re 14.703 * [backup-simplify]: Simplify -1 into -1 14.703 * [taylor]: Taking taylor expansion of re in re 14.703 * [backup-simplify]: Simplify 0 into 0 14.703 * [backup-simplify]: Simplify 1 into 1 14.703 * [backup-simplify]: Simplify (/ -1 1) into -1 14.703 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.703 * [taylor]: Taking taylor expansion of -1 in re 14.703 * [backup-simplify]: Simplify -1 into -1 14.703 * [taylor]: Taking taylor expansion of re in re 14.703 * [backup-simplify]: Simplify 0 into 0 14.703 * [backup-simplify]: Simplify 1 into 1 14.704 * [backup-simplify]: Simplify (/ -1 1) into -1 14.704 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.704 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.704 * [taylor]: Taking taylor expansion of -1 in re 14.704 * [backup-simplify]: Simplify -1 into -1 14.704 * [taylor]: Taking taylor expansion of im in re 14.704 * [backup-simplify]: Simplify im into im 14.704 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.704 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.704 * [taylor]: Taking taylor expansion of -1 in re 14.704 * [backup-simplify]: Simplify -1 into -1 14.704 * [taylor]: Taking taylor expansion of im in re 14.704 * [backup-simplify]: Simplify im into im 14.704 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.705 * [backup-simplify]: Simplify (* -1 -1) into 1 14.705 * [backup-simplify]: Simplify (+ 1 0) into 1 14.706 * [backup-simplify]: Simplify (sqrt 1) into 1 14.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.708 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.709 * [backup-simplify]: Simplify (+ 0 0) into 0 14.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.710 * [backup-simplify]: Simplify (sqrt 0) into 0 14.711 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 14.711 * [taylor]: Taking taylor expansion of 0 in im 14.711 * [backup-simplify]: Simplify 0 into 0 14.711 * [taylor]: Taking taylor expansion of +nan.0 in im 14.711 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.711 * [backup-simplify]: Simplify 0 into 0 14.714 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 14.715 * [taylor]: Taking taylor expansion of +nan.0 in im 14.715 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.715 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.715 * [backup-simplify]: Simplify 0 into 0 14.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.718 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 14.718 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 14.718 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.720 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.724 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 14.724 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 14.724 * [taylor]: Taking taylor expansion of +nan.0 in im 14.724 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.724 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 14.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 14.724 * [taylor]: Taking taylor expansion of 1/2 in im 14.724 * [backup-simplify]: Simplify 1/2 into 1/2 14.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.724 * [taylor]: Taking taylor expansion of im in im 14.724 * [backup-simplify]: Simplify 0 into 0 14.724 * [backup-simplify]: Simplify 1 into 1 14.725 * [backup-simplify]: Simplify (* 1 1) into 1 14.725 * [backup-simplify]: Simplify (/ 1 1) into 1 14.725 * [taylor]: Taking taylor expansion of +nan.0 in im 14.725 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.728 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 14.728 * [backup-simplify]: Simplify (+ 0 0) into 0 14.728 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 14.729 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 14.730 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 14.730 * [backup-simplify]: Simplify 0 into 0 14.730 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.730 * [backup-simplify]: Simplify 0 into 0 14.730 * [backup-simplify]: Simplify 0 into 0 14.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.733 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 14.733 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.733 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.734 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 14.734 * [backup-simplify]: Simplify (+ 0 0) into 0 14.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.736 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 14.736 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 14.736 * [taylor]: Taking taylor expansion of +nan.0 in im 14.736 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.736 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 14.736 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 14.736 * [taylor]: Taking taylor expansion of +nan.0 in im 14.736 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 14.736 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.736 * [taylor]: Taking taylor expansion of im in im 14.736 * [backup-simplify]: Simplify 0 into 0 14.736 * [backup-simplify]: Simplify 1 into 1 14.737 * [backup-simplify]: Simplify (* 1 1) into 1 14.737 * [backup-simplify]: Simplify (/ 1 1) into 1 14.737 * [taylor]: Taking taylor expansion of (- +nan.0) in im 14.737 * [taylor]: Taking taylor expansion of +nan.0 in im 14.737 * [backup-simplify]: Simplify +nan.0 into +nan.0 14.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.739 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 14.740 * [backup-simplify]: Simplify (+ 0 0) into 0 14.740 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 14.740 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 14.741 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 14.741 * [backup-simplify]: Simplify 0 into 0 14.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 14.744 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.745 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 14.748 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 14.748 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 14.749 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 14.749 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 14.749 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) into (hypot re im) 14.749 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 14.749 * [taylor]: Taking taylor expansion of (hypot re im) in im 14.749 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.749 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 14.749 * [taylor]: Taking taylor expansion of (* re re) in im 14.749 * [taylor]: Taking taylor expansion of re in im 14.749 * [backup-simplify]: Simplify re into re 14.749 * [taylor]: Taking taylor expansion of re in im 14.750 * [backup-simplify]: Simplify re into re 14.750 * [taylor]: Taking taylor expansion of (* im im) in im 14.750 * [taylor]: Taking taylor expansion of im in im 14.750 * [backup-simplify]: Simplify 0 into 0 14.750 * [backup-simplify]: Simplify 1 into 1 14.750 * [taylor]: Taking taylor expansion of im in im 14.750 * [backup-simplify]: Simplify 0 into 0 14.750 * [backup-simplify]: Simplify 1 into 1 14.750 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.750 * [backup-simplify]: Simplify (* 0 0) into 0 14.750 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 14.750 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.750 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.751 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.751 * [backup-simplify]: Simplify (+ 0 0) into 0 14.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.752 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.752 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.752 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.752 * [taylor]: Taking taylor expansion of (* re re) in re 14.752 * [taylor]: Taking taylor expansion of re in re 14.752 * [backup-simplify]: Simplify 0 into 0 14.752 * [backup-simplify]: Simplify 1 into 1 14.752 * [taylor]: Taking taylor expansion of re in re 14.752 * [backup-simplify]: Simplify 0 into 0 14.752 * [backup-simplify]: Simplify 1 into 1 14.752 * [taylor]: Taking taylor expansion of (* im im) in re 14.752 * [taylor]: Taking taylor expansion of im in re 14.752 * [backup-simplify]: Simplify im into im 14.752 * [taylor]: Taking taylor expansion of im in re 14.752 * [backup-simplify]: Simplify im into im 14.752 * [backup-simplify]: Simplify (* 0 0) into 0 14.752 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.753 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.753 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.753 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.753 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.754 * [backup-simplify]: Simplify (+ 0 0) into 0 14.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.754 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.754 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.754 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.754 * [taylor]: Taking taylor expansion of (* re re) in re 14.754 * [taylor]: Taking taylor expansion of re in re 14.754 * [backup-simplify]: Simplify 0 into 0 14.754 * [backup-simplify]: Simplify 1 into 1 14.754 * [taylor]: Taking taylor expansion of re in re 14.754 * [backup-simplify]: Simplify 0 into 0 14.754 * [backup-simplify]: Simplify 1 into 1 14.754 * [taylor]: Taking taylor expansion of (* im im) in re 14.754 * [taylor]: Taking taylor expansion of im in re 14.754 * [backup-simplify]: Simplify im into im 14.754 * [taylor]: Taking taylor expansion of im in re 14.754 * [backup-simplify]: Simplify im into im 14.755 * [backup-simplify]: Simplify (* 0 0) into 0 14.755 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.755 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.755 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.756 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.756 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.756 * [backup-simplify]: Simplify (+ 0 0) into 0 14.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.757 * [taylor]: Taking taylor expansion of im in im 14.757 * [backup-simplify]: Simplify 0 into 0 14.757 * [backup-simplify]: Simplify 1 into 1 14.757 * [backup-simplify]: Simplify 0 into 0 14.757 * [taylor]: Taking taylor expansion of 0 in im 14.757 * [backup-simplify]: Simplify 0 into 0 14.757 * [backup-simplify]: Simplify 0 into 0 14.757 * [backup-simplify]: Simplify 1 into 1 14.758 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.758 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.759 * [backup-simplify]: Simplify (+ 1 0) into 1 14.759 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.759 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 14.759 * [taylor]: Taking taylor expansion of 1/2 in im 14.759 * [backup-simplify]: Simplify 1/2 into 1/2 14.759 * [taylor]: Taking taylor expansion of im in im 14.759 * [backup-simplify]: Simplify 0 into 0 14.760 * [backup-simplify]: Simplify 1 into 1 14.760 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.761 * [backup-simplify]: Simplify 0 into 0 14.761 * [backup-simplify]: Simplify 0 into 0 14.761 * [backup-simplify]: Simplify 0 into 0 14.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.763 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 14.763 * [backup-simplify]: Simplify (+ 0 0) into 0 14.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 14.764 * [taylor]: Taking taylor expansion of 0 in im 14.764 * [backup-simplify]: Simplify 0 into 0 14.764 * [backup-simplify]: Simplify 0 into 0 14.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.765 * [backup-simplify]: Simplify 0 into 0 14.765 * [backup-simplify]: Simplify 0 into 0 14.765 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 14.765 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) into (hypot (/ 1 re) (/ 1 im)) 14.766 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 14.766 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 14.766 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.766 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 14.766 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 14.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.766 * [taylor]: Taking taylor expansion of re in im 14.766 * [backup-simplify]: Simplify re into re 14.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.766 * [taylor]: Taking taylor expansion of re in im 14.766 * [backup-simplify]: Simplify re into re 14.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.766 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 14.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.767 * [taylor]: Taking taylor expansion of im in im 14.767 * [backup-simplify]: Simplify 0 into 0 14.767 * [backup-simplify]: Simplify 1 into 1 14.767 * [backup-simplify]: Simplify (/ 1 1) into 1 14.767 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.767 * [taylor]: Taking taylor expansion of im in im 14.767 * [backup-simplify]: Simplify 0 into 0 14.767 * [backup-simplify]: Simplify 1 into 1 14.768 * [backup-simplify]: Simplify (/ 1 1) into 1 14.768 * [backup-simplify]: Simplify (* 1 1) into 1 14.768 * [backup-simplify]: Simplify (+ 0 1) into 1 14.769 * [backup-simplify]: Simplify (sqrt 1) into 1 14.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.771 * [backup-simplify]: Simplify (+ 0 0) into 0 14.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.772 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.772 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.772 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.772 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.772 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.773 * [taylor]: Taking taylor expansion of re in re 14.773 * [backup-simplify]: Simplify 0 into 0 14.773 * [backup-simplify]: Simplify 1 into 1 14.773 * [backup-simplify]: Simplify (/ 1 1) into 1 14.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.773 * [taylor]: Taking taylor expansion of re in re 14.773 * [backup-simplify]: Simplify 0 into 0 14.773 * [backup-simplify]: Simplify 1 into 1 14.773 * [backup-simplify]: Simplify (/ 1 1) into 1 14.773 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.774 * [taylor]: Taking taylor expansion of im in re 14.774 * [backup-simplify]: Simplify im into im 14.774 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.774 * [taylor]: Taking taylor expansion of im in re 14.774 * [backup-simplify]: Simplify im into im 14.774 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.774 * [backup-simplify]: Simplify (* 1 1) into 1 14.775 * [backup-simplify]: Simplify (+ 1 0) into 1 14.775 * [backup-simplify]: Simplify (sqrt 1) into 1 14.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.778 * [backup-simplify]: Simplify (+ 0 0) into 0 14.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.779 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.779 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.779 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.779 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.779 * [taylor]: Taking taylor expansion of re in re 14.779 * [backup-simplify]: Simplify 0 into 0 14.779 * [backup-simplify]: Simplify 1 into 1 14.779 * [backup-simplify]: Simplify (/ 1 1) into 1 14.779 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.779 * [taylor]: Taking taylor expansion of re in re 14.779 * [backup-simplify]: Simplify 0 into 0 14.779 * [backup-simplify]: Simplify 1 into 1 14.780 * [backup-simplify]: Simplify (/ 1 1) into 1 14.780 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.780 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.780 * [taylor]: Taking taylor expansion of im in re 14.780 * [backup-simplify]: Simplify im into im 14.780 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.780 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.780 * [taylor]: Taking taylor expansion of im in re 14.780 * [backup-simplify]: Simplify im into im 14.780 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.781 * [backup-simplify]: Simplify (* 1 1) into 1 14.781 * [backup-simplify]: Simplify (+ 1 0) into 1 14.781 * [backup-simplify]: Simplify (sqrt 1) into 1 14.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.784 * [backup-simplify]: Simplify (+ 0 0) into 0 14.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.785 * [taylor]: Taking taylor expansion of 1 in im 14.785 * [backup-simplify]: Simplify 1 into 1 14.785 * [taylor]: Taking taylor expansion of 0 in im 14.785 * [backup-simplify]: Simplify 0 into 0 14.785 * [backup-simplify]: Simplify 1 into 1 14.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.788 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 14.788 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.790 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.790 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.790 * [taylor]: Taking taylor expansion of 1/2 in im 14.790 * [backup-simplify]: Simplify 1/2 into 1/2 14.790 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.790 * [taylor]: Taking taylor expansion of im in im 14.790 * [backup-simplify]: Simplify 0 into 0 14.790 * [backup-simplify]: Simplify 1 into 1 14.790 * [backup-simplify]: Simplify (* 1 1) into 1 14.791 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.793 * [backup-simplify]: Simplify 0 into 0 14.793 * [backup-simplify]: Simplify 0 into 0 14.793 * [backup-simplify]: Simplify 0 into 0 14.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.796 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 14.796 * [backup-simplify]: Simplify (+ 0 0) into 0 14.797 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.797 * [taylor]: Taking taylor expansion of 0 in im 14.797 * [backup-simplify]: Simplify 0 into 0 14.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.799 * [backup-simplify]: Simplify 0 into 0 14.799 * [backup-simplify]: Simplify 0 into 0 14.799 * [backup-simplify]: Simplify 0 into 0 14.799 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 14.800 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (hypot (/ -1 re) (/ -1 im)) 14.800 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 14.800 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 14.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.800 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 14.800 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 14.800 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.800 * [taylor]: Taking taylor expansion of -1 in im 14.800 * [backup-simplify]: Simplify -1 into -1 14.800 * [taylor]: Taking taylor expansion of re in im 14.801 * [backup-simplify]: Simplify re into re 14.801 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.801 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.801 * [taylor]: Taking taylor expansion of -1 in im 14.801 * [backup-simplify]: Simplify -1 into -1 14.801 * [taylor]: Taking taylor expansion of re in im 14.801 * [backup-simplify]: Simplify re into re 14.801 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.801 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 14.801 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.801 * [taylor]: Taking taylor expansion of -1 in im 14.801 * [backup-simplify]: Simplify -1 into -1 14.801 * [taylor]: Taking taylor expansion of im in im 14.801 * [backup-simplify]: Simplify 0 into 0 14.801 * [backup-simplify]: Simplify 1 into 1 14.801 * [backup-simplify]: Simplify (/ -1 1) into -1 14.801 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.802 * [taylor]: Taking taylor expansion of -1 in im 14.802 * [backup-simplify]: Simplify -1 into -1 14.802 * [taylor]: Taking taylor expansion of im in im 14.802 * [backup-simplify]: Simplify 0 into 0 14.802 * [backup-simplify]: Simplify 1 into 1 14.802 * [backup-simplify]: Simplify (/ -1 1) into -1 14.802 * [backup-simplify]: Simplify (* -1 -1) into 1 14.803 * [backup-simplify]: Simplify (+ 0 1) into 1 14.803 * [backup-simplify]: Simplify (sqrt 1) into 1 14.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.806 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.806 * [backup-simplify]: Simplify (+ 0 0) into 0 14.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.807 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.807 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.807 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.807 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.807 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.807 * [taylor]: Taking taylor expansion of -1 in re 14.807 * [backup-simplify]: Simplify -1 into -1 14.807 * [taylor]: Taking taylor expansion of re in re 14.807 * [backup-simplify]: Simplify 0 into 0 14.807 * [backup-simplify]: Simplify 1 into 1 14.808 * [backup-simplify]: Simplify (/ -1 1) into -1 14.808 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.808 * [taylor]: Taking taylor expansion of -1 in re 14.808 * [backup-simplify]: Simplify -1 into -1 14.808 * [taylor]: Taking taylor expansion of re in re 14.808 * [backup-simplify]: Simplify 0 into 0 14.808 * [backup-simplify]: Simplify 1 into 1 14.808 * [backup-simplify]: Simplify (/ -1 1) into -1 14.808 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.808 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.808 * [taylor]: Taking taylor expansion of -1 in re 14.808 * [backup-simplify]: Simplify -1 into -1 14.808 * [taylor]: Taking taylor expansion of im in re 14.808 * [backup-simplify]: Simplify im into im 14.808 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.808 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.808 * [taylor]: Taking taylor expansion of -1 in re 14.809 * [backup-simplify]: Simplify -1 into -1 14.809 * [taylor]: Taking taylor expansion of im in re 14.809 * [backup-simplify]: Simplify im into im 14.809 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.809 * [backup-simplify]: Simplify (* -1 -1) into 1 14.809 * [backup-simplify]: Simplify (+ 1 0) into 1 14.810 * [backup-simplify]: Simplify (sqrt 1) into 1 14.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.812 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.813 * [backup-simplify]: Simplify (+ 0 0) into 0 14.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.813 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.814 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.814 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.814 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.814 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.814 * [taylor]: Taking taylor expansion of -1 in re 14.814 * [backup-simplify]: Simplify -1 into -1 14.814 * [taylor]: Taking taylor expansion of re in re 14.814 * [backup-simplify]: Simplify 0 into 0 14.814 * [backup-simplify]: Simplify 1 into 1 14.814 * [backup-simplify]: Simplify (/ -1 1) into -1 14.814 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.814 * [taylor]: Taking taylor expansion of -1 in re 14.814 * [backup-simplify]: Simplify -1 into -1 14.814 * [taylor]: Taking taylor expansion of re in re 14.814 * [backup-simplify]: Simplify 0 into 0 14.814 * [backup-simplify]: Simplify 1 into 1 14.815 * [backup-simplify]: Simplify (/ -1 1) into -1 14.815 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.815 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.815 * [taylor]: Taking taylor expansion of -1 in re 14.815 * [backup-simplify]: Simplify -1 into -1 14.815 * [taylor]: Taking taylor expansion of im in re 14.815 * [backup-simplify]: Simplify im into im 14.815 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.815 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.815 * [taylor]: Taking taylor expansion of -1 in re 14.815 * [backup-simplify]: Simplify -1 into -1 14.815 * [taylor]: Taking taylor expansion of im in re 14.815 * [backup-simplify]: Simplify im into im 14.815 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.816 * [backup-simplify]: Simplify (* -1 -1) into 1 14.816 * [backup-simplify]: Simplify (+ 1 0) into 1 14.816 * [backup-simplify]: Simplify (sqrt 1) into 1 14.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.819 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.819 * [backup-simplify]: Simplify (+ 0 0) into 0 14.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.820 * [taylor]: Taking taylor expansion of 1 in im 14.820 * [backup-simplify]: Simplify 1 into 1 14.820 * [taylor]: Taking taylor expansion of 0 in im 14.820 * [backup-simplify]: Simplify 0 into 0 14.820 * [backup-simplify]: Simplify 1 into 1 14.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.824 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 14.824 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 14.824 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.825 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.825 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 14.825 * [taylor]: Taking taylor expansion of 1/2 in im 14.825 * [backup-simplify]: Simplify 1/2 into 1/2 14.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.826 * [taylor]: Taking taylor expansion of im in im 14.826 * [backup-simplify]: Simplify 0 into 0 14.826 * [backup-simplify]: Simplify 1 into 1 14.826 * [backup-simplify]: Simplify (* 1 1) into 1 14.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 14.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 14.828 * [backup-simplify]: Simplify 0 into 0 14.828 * [backup-simplify]: Simplify 0 into 0 14.828 * [backup-simplify]: Simplify 0 into 0 14.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 14.830 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.830 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.830 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 14.830 * [backup-simplify]: Simplify (+ 0 0) into 0 14.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 14.830 * [taylor]: Taking taylor expansion of 0 in im 14.830 * [backup-simplify]: Simplify 0 into 0 14.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.832 * [backup-simplify]: Simplify 0 into 0 14.832 * [backup-simplify]: Simplify 0 into 0 14.832 * [backup-simplify]: Simplify 0 into 0 14.832 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 14.832 * * * * [progress]: [ 4 / 4 ] generating series at (2) 14.832 * [backup-simplify]: Simplify (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) into (/ (log (hypot re im)) (log base)) 14.832 * [approximate]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in (re im base) around 0 14.832 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in base 14.832 * [taylor]: Taking taylor expansion of (log (hypot re im)) in base 14.832 * [taylor]: Taking taylor expansion of (hypot re im) in base 14.832 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.832 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in base 14.832 * [taylor]: Taking taylor expansion of (* re re) in base 14.832 * [taylor]: Taking taylor expansion of re in base 14.832 * [backup-simplify]: Simplify re into re 14.832 * [taylor]: Taking taylor expansion of re in base 14.832 * [backup-simplify]: Simplify re into re 14.832 * [taylor]: Taking taylor expansion of (* im im) in base 14.832 * [taylor]: Taking taylor expansion of im in base 14.832 * [backup-simplify]: Simplify im into im 14.832 * [taylor]: Taking taylor expansion of im in base 14.832 * [backup-simplify]: Simplify im into im 14.832 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.832 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.833 * [backup-simplify]: Simplify (+ (pow re 2) (pow im 2)) into (+ (pow im 2) (pow re 2)) 14.833 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (pow re 2))) into (sqrt (+ (pow im 2) (pow re 2))) 14.833 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.833 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.833 * [backup-simplify]: Simplify (+ 0 0) into 0 14.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow im 2) (pow re 2))))) into 0 14.833 * [backup-simplify]: Simplify (log (sqrt (+ (pow im 2) (pow re 2)))) into (log (sqrt (+ (pow im 2) (pow re 2)))) 14.833 * [taylor]: Taking taylor expansion of (log base) in base 14.833 * [taylor]: Taking taylor expansion of base in base 14.833 * [backup-simplify]: Simplify 0 into 0 14.833 * [backup-simplify]: Simplify 1 into 1 14.834 * [backup-simplify]: Simplify (log 1) into 0 14.834 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 14.834 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 14.834 * [backup-simplify]: Simplify (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) into (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) 14.834 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in im 14.834 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 14.834 * [taylor]: Taking taylor expansion of (hypot re im) in im 14.835 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.835 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 14.835 * [taylor]: Taking taylor expansion of (* re re) in im 14.835 * [taylor]: Taking taylor expansion of re in im 14.835 * [backup-simplify]: Simplify re into re 14.835 * [taylor]: Taking taylor expansion of re in im 14.835 * [backup-simplify]: Simplify re into re 14.835 * [taylor]: Taking taylor expansion of (* im im) in im 14.835 * [taylor]: Taking taylor expansion of im in im 14.835 * [backup-simplify]: Simplify 0 into 0 14.835 * [backup-simplify]: Simplify 1 into 1 14.835 * [taylor]: Taking taylor expansion of im in im 14.835 * [backup-simplify]: Simplify 0 into 0 14.835 * [backup-simplify]: Simplify 1 into 1 14.835 * [backup-simplify]: Simplify (* re re) into (pow re 2) 14.835 * [backup-simplify]: Simplify (* 0 0) into 0 14.835 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 14.835 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 14.835 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 14.836 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.836 * [backup-simplify]: Simplify (+ 0 0) into 0 14.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 14.836 * [backup-simplify]: Simplify (log re) into (log re) 14.836 * [taylor]: Taking taylor expansion of (log base) in im 14.836 * [taylor]: Taking taylor expansion of base in im 14.836 * [backup-simplify]: Simplify base into base 14.836 * [backup-simplify]: Simplify (log base) into (log base) 14.836 * [backup-simplify]: Simplify (/ (log re) (log base)) into (/ (log re) (log base)) 14.836 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in re 14.836 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 14.836 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.836 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.836 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.836 * [taylor]: Taking taylor expansion of (* re re) in re 14.836 * [taylor]: Taking taylor expansion of re in re 14.836 * [backup-simplify]: Simplify 0 into 0 14.836 * [backup-simplify]: Simplify 1 into 1 14.836 * [taylor]: Taking taylor expansion of re in re 14.836 * [backup-simplify]: Simplify 0 into 0 14.836 * [backup-simplify]: Simplify 1 into 1 14.836 * [taylor]: Taking taylor expansion of (* im im) in re 14.836 * [taylor]: Taking taylor expansion of im in re 14.836 * [backup-simplify]: Simplify im into im 14.836 * [taylor]: Taking taylor expansion of im in re 14.836 * [backup-simplify]: Simplify im into im 14.837 * [backup-simplify]: Simplify (* 0 0) into 0 14.837 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.837 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.837 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.837 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.837 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.838 * [backup-simplify]: Simplify (+ 0 0) into 0 14.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.838 * [backup-simplify]: Simplify (log im) into (log im) 14.838 * [taylor]: Taking taylor expansion of (log base) in re 14.838 * [taylor]: Taking taylor expansion of base in re 14.838 * [backup-simplify]: Simplify base into base 14.838 * [backup-simplify]: Simplify (log base) into (log base) 14.838 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 14.838 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in re 14.838 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 14.838 * [taylor]: Taking taylor expansion of (hypot re im) in re 14.838 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 14.838 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 14.838 * [taylor]: Taking taylor expansion of (* re re) in re 14.838 * [taylor]: Taking taylor expansion of re in re 14.838 * [backup-simplify]: Simplify 0 into 0 14.838 * [backup-simplify]: Simplify 1 into 1 14.838 * [taylor]: Taking taylor expansion of re in re 14.838 * [backup-simplify]: Simplify 0 into 0 14.838 * [backup-simplify]: Simplify 1 into 1 14.838 * [taylor]: Taking taylor expansion of (* im im) in re 14.838 * [taylor]: Taking taylor expansion of im in re 14.838 * [backup-simplify]: Simplify im into im 14.838 * [taylor]: Taking taylor expansion of im in re 14.838 * [backup-simplify]: Simplify im into im 14.838 * [backup-simplify]: Simplify (* 0 0) into 0 14.838 * [backup-simplify]: Simplify (* im im) into (pow im 2) 14.839 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 14.839 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 14.839 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 14.839 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 14.839 * [backup-simplify]: Simplify (+ 0 0) into 0 14.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 14.839 * [backup-simplify]: Simplify (log im) into (log im) 14.839 * [taylor]: Taking taylor expansion of (log base) in re 14.839 * [taylor]: Taking taylor expansion of base in re 14.839 * [backup-simplify]: Simplify base into base 14.839 * [backup-simplify]: Simplify (log base) into (log base) 14.840 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 14.840 * [taylor]: Taking taylor expansion of (/ (log im) (log base)) in im 14.840 * [taylor]: Taking taylor expansion of (log im) in im 14.840 * [taylor]: Taking taylor expansion of im in im 14.840 * [backup-simplify]: Simplify 0 into 0 14.840 * [backup-simplify]: Simplify 1 into 1 14.840 * [backup-simplify]: Simplify (log 1) into 0 14.840 * [taylor]: Taking taylor expansion of (log base) in im 14.840 * [taylor]: Taking taylor expansion of base in im 14.840 * [backup-simplify]: Simplify base into base 14.840 * [backup-simplify]: Simplify (log base) into (log base) 14.840 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 14.841 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 14.841 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 14.841 * [taylor]: Taking taylor expansion of (/ (log im) (log base)) in base 14.841 * [taylor]: Taking taylor expansion of (log im) in base 14.841 * [taylor]: Taking taylor expansion of im in base 14.841 * [backup-simplify]: Simplify im into im 14.841 * [backup-simplify]: Simplify (log im) into (log im) 14.841 * [taylor]: Taking taylor expansion of (log base) in base 14.841 * [taylor]: Taking taylor expansion of base in base 14.841 * [backup-simplify]: Simplify 0 into 0 14.841 * [backup-simplify]: Simplify 1 into 1 14.841 * [backup-simplify]: Simplify (log 1) into 0 14.841 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 14.842 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 14.842 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 14.842 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 14.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 14.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 14.843 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 14.843 * [taylor]: Taking taylor expansion of 0 in im 14.843 * [backup-simplify]: Simplify 0 into 0 14.843 * [taylor]: Taking taylor expansion of 0 in base 14.843 * [backup-simplify]: Simplify 0 into 0 14.843 * [backup-simplify]: Simplify 0 into 0 14.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 14.844 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 14.844 * [taylor]: Taking taylor expansion of 0 in base 14.844 * [backup-simplify]: Simplify 0 into 0 14.844 * [backup-simplify]: Simplify 0 into 0 14.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 14.845 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 14.846 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.846 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 14.846 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 14.846 * [backup-simplify]: Simplify 0 into 0 14.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 14.847 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 14.847 * [backup-simplify]: Simplify (+ 1 0) into 1 14.848 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 14.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 14.849 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 14.850 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into (* 1/2 (/ 1 (* (log base) (pow im 2)))) 14.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (log base) (pow im 2)))) in im 14.850 * [taylor]: Taking taylor expansion of 1/2 in im 14.850 * [backup-simplify]: Simplify 1/2 into 1/2 14.850 * [taylor]: Taking taylor expansion of (/ 1 (* (log base) (pow im 2))) in im 14.850 * [taylor]: Taking taylor expansion of (* (log base) (pow im 2)) in im 14.850 * [taylor]: Taking taylor expansion of (log base) in im 14.850 * [taylor]: Taking taylor expansion of base in im 14.850 * [backup-simplify]: Simplify base into base 14.850 * [backup-simplify]: Simplify (log base) into (log base) 14.850 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.850 * [taylor]: Taking taylor expansion of im in im 14.850 * [backup-simplify]: Simplify 0 into 0 14.850 * [backup-simplify]: Simplify 1 into 1 14.850 * [backup-simplify]: Simplify (* 1 1) into 1 14.850 * [backup-simplify]: Simplify (* (log base) 1) into (log base) 14.850 * [backup-simplify]: Simplify (/ 1 (log base)) into (/ 1 (log base)) 14.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 14.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.853 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 14.853 * [backup-simplify]: Simplify (+ (* (log base) 0) (+ (* 0 0) (* 0 1))) into 0 14.855 * [backup-simplify]: Simplify (+ (* (log base) 0) (* 0 1)) into 0 14.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log base)) (/ 0 (log base))))) into 0 14.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into 0 14.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log base))))) into 0 14.856 * [taylor]: Taking taylor expansion of 0 in base 14.856 * [backup-simplify]: Simplify 0 into 0 14.856 * [backup-simplify]: Simplify 0 into 0 14.856 * [taylor]: Taking taylor expansion of 0 in base 14.856 * [backup-simplify]: Simplify 0 into 0 14.856 * [backup-simplify]: Simplify 0 into 0 14.857 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 14.858 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 14.858 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into 0 14.858 * [taylor]: Taking taylor expansion of 0 in base 14.859 * [backup-simplify]: Simplify 0 into 0 14.859 * [backup-simplify]: Simplify 0 into 0 14.859 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 14.859 * [backup-simplify]: Simplify (/ (log (* (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))))) (log (/ 1 base))) into (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) 14.859 * [approximate]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in (re im base) around 0 14.859 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in base 14.859 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in base 14.859 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in base 14.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.860 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in base 14.860 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in base 14.860 * [taylor]: Taking taylor expansion of (/ 1 re) in base 14.860 * [taylor]: Taking taylor expansion of re in base 14.860 * [backup-simplify]: Simplify re into re 14.860 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.860 * [taylor]: Taking taylor expansion of (/ 1 re) in base 14.860 * [taylor]: Taking taylor expansion of re in base 14.860 * [backup-simplify]: Simplify re into re 14.860 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.860 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in base 14.860 * [taylor]: Taking taylor expansion of (/ 1 im) in base 14.860 * [taylor]: Taking taylor expansion of im in base 14.860 * [backup-simplify]: Simplify im into im 14.860 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.860 * [taylor]: Taking taylor expansion of (/ 1 im) in base 14.860 * [taylor]: Taking taylor expansion of im in base 14.860 * [backup-simplify]: Simplify im into im 14.860 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.860 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 14.860 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 14.861 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 14.861 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 14.861 * [backup-simplify]: Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0 14.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 14.862 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 14.862 * [backup-simplify]: Simplify (+ 0 0) into 0 14.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) into 0 14.863 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) into (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 14.863 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 14.863 * [taylor]: Taking taylor expansion of (/ 1 base) in base 14.863 * [taylor]: Taking taylor expansion of base in base 14.863 * [backup-simplify]: Simplify 0 into 0 14.863 * [backup-simplify]: Simplify 1 into 1 14.863 * [backup-simplify]: Simplify (/ 1 1) into 1 14.864 * [backup-simplify]: Simplify (log 1) into 0 14.864 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 14.865 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 14.865 * [backup-simplify]: Simplify (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log base))) into (* -1 (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (log base))) 14.865 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in im 14.865 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 14.865 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 14.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.866 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 14.866 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 14.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.866 * [taylor]: Taking taylor expansion of re in im 14.866 * [backup-simplify]: Simplify re into re 14.866 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im 14.866 * [taylor]: Taking taylor expansion of re in im 14.866 * [backup-simplify]: Simplify re into re 14.866 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 14.866 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 14.866 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.866 * [taylor]: Taking taylor expansion of im in im 14.866 * [backup-simplify]: Simplify 0 into 0 14.866 * [backup-simplify]: Simplify 1 into 1 14.867 * [backup-simplify]: Simplify (/ 1 1) into 1 14.867 * [taylor]: Taking taylor expansion of (/ 1 im) in im 14.867 * [taylor]: Taking taylor expansion of im in im 14.867 * [backup-simplify]: Simplify 0 into 0 14.867 * [backup-simplify]: Simplify 1 into 1 14.867 * [backup-simplify]: Simplify (/ 1 1) into 1 14.868 * [backup-simplify]: Simplify (* 1 1) into 1 14.868 * [backup-simplify]: Simplify (+ 0 1) into 1 14.868 * [backup-simplify]: Simplify (sqrt 1) into 1 14.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.871 * [backup-simplify]: Simplify (+ 0 0) into 0 14.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.872 * [backup-simplify]: Simplify (log 1) into 0 14.872 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 14.872 * [taylor]: Taking taylor expansion of (/ 1 base) in im 14.872 * [taylor]: Taking taylor expansion of base in im 14.872 * [backup-simplify]: Simplify base into base 14.872 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 14.873 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 14.873 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 14.873 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 14.874 * [backup-simplify]: Simplify (/ (- (log im)) (log (/ 1 base))) into (* -1 (/ (log im) (log (/ 1 base)))) 14.874 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in re 14.874 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 14.874 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.874 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.874 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.874 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.874 * [taylor]: Taking taylor expansion of re in re 14.874 * [backup-simplify]: Simplify 0 into 0 14.874 * [backup-simplify]: Simplify 1 into 1 14.874 * [backup-simplify]: Simplify (/ 1 1) into 1 14.875 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.875 * [taylor]: Taking taylor expansion of re in re 14.875 * [backup-simplify]: Simplify 0 into 0 14.875 * [backup-simplify]: Simplify 1 into 1 14.875 * [backup-simplify]: Simplify (/ 1 1) into 1 14.875 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.875 * [taylor]: Taking taylor expansion of im in re 14.875 * [backup-simplify]: Simplify im into im 14.875 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.875 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.875 * [taylor]: Taking taylor expansion of im in re 14.875 * [backup-simplify]: Simplify im into im 14.875 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.875 * [backup-simplify]: Simplify (* 1 1) into 1 14.876 * [backup-simplify]: Simplify (+ 1 0) into 1 14.876 * [backup-simplify]: Simplify (sqrt 1) into 1 14.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.877 * [backup-simplify]: Simplify (+ 0 0) into 0 14.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.878 * [backup-simplify]: Simplify (log 1) into 0 14.878 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 14.878 * [taylor]: Taking taylor expansion of (/ 1 base) in re 14.878 * [taylor]: Taking taylor expansion of base in re 14.878 * [backup-simplify]: Simplify base into base 14.878 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 14.878 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 14.878 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 14.879 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 14.879 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ 1 base))) into (* -1 (/ (log re) (log (/ 1 base)))) 14.879 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in re 14.879 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 14.879 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 14.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 14.879 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 14.879 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 14.879 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.879 * [taylor]: Taking taylor expansion of re in re 14.879 * [backup-simplify]: Simplify 0 into 0 14.879 * [backup-simplify]: Simplify 1 into 1 14.879 * [backup-simplify]: Simplify (/ 1 1) into 1 14.879 * [taylor]: Taking taylor expansion of (/ 1 re) in re 14.879 * [taylor]: Taking taylor expansion of re in re 14.879 * [backup-simplify]: Simplify 0 into 0 14.879 * [backup-simplify]: Simplify 1 into 1 14.880 * [backup-simplify]: Simplify (/ 1 1) into 1 14.880 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 14.880 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.880 * [taylor]: Taking taylor expansion of im in re 14.880 * [backup-simplify]: Simplify im into im 14.880 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.880 * [taylor]: Taking taylor expansion of (/ 1 im) in re 14.880 * [taylor]: Taking taylor expansion of im in re 14.880 * [backup-simplify]: Simplify im into im 14.880 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 14.880 * [backup-simplify]: Simplify (* 1 1) into 1 14.880 * [backup-simplify]: Simplify (+ 1 0) into 1 14.880 * [backup-simplify]: Simplify (sqrt 1) into 1 14.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.882 * [backup-simplify]: Simplify (+ 0 0) into 0 14.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.883 * [backup-simplify]: Simplify (log 1) into 0 14.883 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 14.883 * [taylor]: Taking taylor expansion of (/ 1 base) in re 14.883 * [taylor]: Taking taylor expansion of base in re 14.883 * [backup-simplify]: Simplify base into base 14.883 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 14.883 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 14.883 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 14.883 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 14.883 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ 1 base))) into (* -1 (/ (log re) (log (/ 1 base)))) 14.883 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ 1 base)))) in im 14.884 * [taylor]: Taking taylor expansion of -1 in im 14.884 * [backup-simplify]: Simplify -1 into -1 14.884 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ 1 base))) in im 14.884 * [taylor]: Taking taylor expansion of (log re) in im 14.884 * [taylor]: Taking taylor expansion of re in im 14.884 * [backup-simplify]: Simplify re into re 14.884 * [backup-simplify]: Simplify (log re) into (log re) 14.884 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 14.884 * [taylor]: Taking taylor expansion of (/ 1 base) in im 14.884 * [taylor]: Taking taylor expansion of base in im 14.884 * [backup-simplify]: Simplify base into base 14.884 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 14.884 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 14.884 * [backup-simplify]: Simplify (/ (log re) (log (/ 1 base))) into (/ (log re) (log (/ 1 base))) 14.884 * [backup-simplify]: Simplify (* -1 (/ (log re) (log (/ 1 base)))) into (* -1 (/ (log re) (log (/ 1 base)))) 14.884 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ 1 base)))) in base 14.884 * [taylor]: Taking taylor expansion of -1 in base 14.884 * [backup-simplify]: Simplify -1 into -1 14.884 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ 1 base))) in base 14.884 * [taylor]: Taking taylor expansion of (log re) in base 14.884 * [taylor]: Taking taylor expansion of re in base 14.884 * [backup-simplify]: Simplify re into re 14.884 * [backup-simplify]: Simplify (log re) into (log re) 14.884 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 14.884 * [taylor]: Taking taylor expansion of (/ 1 base) in base 14.884 * [taylor]: Taking taylor expansion of base in base 14.884 * [backup-simplify]: Simplify 0 into 0 14.884 * [backup-simplify]: Simplify 1 into 1 14.884 * [backup-simplify]: Simplify (/ 1 1) into 1 14.885 * [backup-simplify]: Simplify (log 1) into 0 14.885 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 14.885 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 14.885 * [backup-simplify]: Simplify (/ (log re) (- (log base))) into (* -1 (/ (log re) (log base))) 14.885 * [backup-simplify]: Simplify (* -1 (* -1 (/ (log re) (log base)))) into (/ (log re) (log base)) 14.885 * [backup-simplify]: Simplify (/ (log re) (log base)) into (/ (log re) (log base)) 14.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 14.887 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 14.887 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (* -1 (/ (log re) (log (/ 1 base)))) (/ 0 (log (/ 1 base)))))) into 0 14.887 * [taylor]: Taking taylor expansion of 0 in im 14.887 * [backup-simplify]: Simplify 0 into 0 14.887 * [taylor]: Taking taylor expansion of 0 in base 14.887 * [backup-simplify]: Simplify 0 into 0 14.887 * [backup-simplify]: Simplify 0 into 0 14.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 14.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 14.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 14.888 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (/ (log re) (log (/ 1 base))) (/ 0 (log (/ 1 base)))))) into 0 14.889 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (log (/ 1 base))))) into 0 14.889 * [taylor]: Taking taylor expansion of 0 in base 14.889 * [backup-simplify]: Simplify 0 into 0 14.889 * [backup-simplify]: Simplify 0 into 0 14.889 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 14.890 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 14.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.891 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.891 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 14.891 * [backup-simplify]: Simplify (- (/ 0 (- (log base))) (+ (* (* -1 (/ (log re) (log base))) (/ 0 (- (log base)))))) into 0 14.892 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* -1 (/ (log re) (log base))))) into 0 14.892 * [backup-simplify]: Simplify 0 into 0 14.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.893 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 14.893 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.894 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.895 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 14.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 14.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 14.897 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log (/ 1 base))) (+ (* (* -1 (/ (log re) (log (/ 1 base)))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into (* 1/2 (/ 1 (* (log (/ 1 base)) (pow im 2)))) 14.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (log (/ 1 base)) (pow im 2)))) in im 14.897 * [taylor]: Taking taylor expansion of 1/2 in im 14.897 * [backup-simplify]: Simplify 1/2 into 1/2 14.897 * [taylor]: Taking taylor expansion of (/ 1 (* (log (/ 1 base)) (pow im 2))) in im 14.897 * [taylor]: Taking taylor expansion of (* (log (/ 1 base)) (pow im 2)) in im 14.897 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 14.897 * [taylor]: Taking taylor expansion of (/ 1 base) in im 14.897 * [taylor]: Taking taylor expansion of base in im 14.897 * [backup-simplify]: Simplify base into base 14.897 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 14.897 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 14.897 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.897 * [taylor]: Taking taylor expansion of im in im 14.897 * [backup-simplify]: Simplify 0 into 0 14.897 * [backup-simplify]: Simplify 1 into 1 14.897 * [backup-simplify]: Simplify (* 1 1) into 1 14.898 * [backup-simplify]: Simplify (* (log (/ 1 base)) 1) into (log (/ 1 base)) 14.898 * [backup-simplify]: Simplify (/ 1 (log (/ 1 base))) into (/ 1 (log (/ 1 base))) 14.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 14.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 14.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 14.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 14.901 * [backup-simplify]: Simplify (+ (* (log (/ 1 base)) 0) (+ (* 0 0) (* 0 1))) into 0 14.901 * [backup-simplify]: Simplify (+ (* (log (/ 1 base)) 0) (* 0 1)) into 0 14.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ 1 base))) (/ 0 (log (/ 1 base)))))) into 0 14.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ 1 base))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into 0 14.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log (/ 1 base)))))) into 0 14.902 * [taylor]: Taking taylor expansion of 0 in base 14.902 * [backup-simplify]: Simplify 0 into 0 14.902 * [backup-simplify]: Simplify 0 into 0 14.902 * [taylor]: Taking taylor expansion of 0 in base 14.902 * [backup-simplify]: Simplify 0 into 0 14.902 * [backup-simplify]: Simplify 0 into 0 14.903 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 14.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 14.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 14.905 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (/ (log re) (log (/ 1 base))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into 0 14.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (log re) (log (/ 1 base)))))) into 0 14.906 * [taylor]: Taking taylor expansion of 0 in base 14.906 * [backup-simplify]: Simplify 0 into 0 14.907 * [backup-simplify]: Simplify 0 into 0 14.907 * [backup-simplify]: Simplify (/ (log (/ 1 re)) (log (/ 1 base))) into (/ (log (/ 1 re)) (log (/ 1 base))) 14.907 * [backup-simplify]: Simplify (/ (log (* (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))))) (log (/ 1 (- base)))) into (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) 14.907 * [approximate]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in (re im base) around 0 14.908 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in base 14.908 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in base 14.908 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in base 14.908 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.908 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in base 14.908 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in base 14.908 * [taylor]: Taking taylor expansion of (/ -1 re) in base 14.908 * [taylor]: Taking taylor expansion of -1 in base 14.908 * [backup-simplify]: Simplify -1 into -1 14.908 * [taylor]: Taking taylor expansion of re in base 14.908 * [backup-simplify]: Simplify re into re 14.908 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.908 * [taylor]: Taking taylor expansion of (/ -1 re) in base 14.908 * [taylor]: Taking taylor expansion of -1 in base 14.908 * [backup-simplify]: Simplify -1 into -1 14.908 * [taylor]: Taking taylor expansion of re in base 14.908 * [backup-simplify]: Simplify re into re 14.908 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.908 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in base 14.908 * [taylor]: Taking taylor expansion of (/ -1 im) in base 14.908 * [taylor]: Taking taylor expansion of -1 in base 14.908 * [backup-simplify]: Simplify -1 into -1 14.908 * [taylor]: Taking taylor expansion of im in base 14.908 * [backup-simplify]: Simplify im into im 14.908 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.908 * [taylor]: Taking taylor expansion of (/ -1 im) in base 14.908 * [taylor]: Taking taylor expansion of -1 in base 14.909 * [backup-simplify]: Simplify -1 into -1 14.909 * [taylor]: Taking taylor expansion of im in base 14.909 * [backup-simplify]: Simplify im into im 14.909 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.909 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 14.909 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 14.909 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 14.909 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 14.909 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 14.910 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 14.910 * [backup-simplify]: Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0 14.910 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.910 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 14.910 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 14.911 * [backup-simplify]: Simplify (+ 0 0) into 0 14.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) into 0 14.911 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) into (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 14.911 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 14.911 * [taylor]: Taking taylor expansion of (/ -1 base) in base 14.911 * [taylor]: Taking taylor expansion of -1 in base 14.911 * [backup-simplify]: Simplify -1 into -1 14.912 * [taylor]: Taking taylor expansion of base in base 14.912 * [backup-simplify]: Simplify 0 into 0 14.912 * [backup-simplify]: Simplify 1 into 1 14.912 * [backup-simplify]: Simplify (/ -1 1) into -1 14.912 * [backup-simplify]: Simplify (log -1) into (log -1) 14.913 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 14.914 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 14.915 * [backup-simplify]: Simplify (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log -1) (log base))) into (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log -1) (log base))) 14.915 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in im 14.915 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 14.915 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 14.915 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.915 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 14.915 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 14.915 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.915 * [taylor]: Taking taylor expansion of -1 in im 14.915 * [backup-simplify]: Simplify -1 into -1 14.915 * [taylor]: Taking taylor expansion of re in im 14.915 * [backup-simplify]: Simplify re into re 14.915 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.915 * [taylor]: Taking taylor expansion of (/ -1 re) in im 14.915 * [taylor]: Taking taylor expansion of -1 in im 14.915 * [backup-simplify]: Simplify -1 into -1 14.915 * [taylor]: Taking taylor expansion of re in im 14.915 * [backup-simplify]: Simplify re into re 14.915 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 14.916 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 14.916 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.916 * [taylor]: Taking taylor expansion of -1 in im 14.916 * [backup-simplify]: Simplify -1 into -1 14.916 * [taylor]: Taking taylor expansion of im in im 14.916 * [backup-simplify]: Simplify 0 into 0 14.916 * [backup-simplify]: Simplify 1 into 1 14.916 * [backup-simplify]: Simplify (/ -1 1) into -1 14.916 * [taylor]: Taking taylor expansion of (/ -1 im) in im 14.916 * [taylor]: Taking taylor expansion of -1 in im 14.916 * [backup-simplify]: Simplify -1 into -1 14.916 * [taylor]: Taking taylor expansion of im in im 14.916 * [backup-simplify]: Simplify 0 into 0 14.916 * [backup-simplify]: Simplify 1 into 1 14.917 * [backup-simplify]: Simplify (/ -1 1) into -1 14.917 * [backup-simplify]: Simplify (* -1 -1) into 1 14.918 * [backup-simplify]: Simplify (+ 0 1) into 1 14.918 * [backup-simplify]: Simplify (sqrt 1) into 1 14.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.920 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.921 * [backup-simplify]: Simplify (+ 0 0) into 0 14.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.922 * [backup-simplify]: Simplify (log 1) into 0 14.922 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 14.922 * [taylor]: Taking taylor expansion of (/ -1 base) in im 14.922 * [taylor]: Taking taylor expansion of -1 in im 14.922 * [backup-simplify]: Simplify -1 into -1 14.922 * [taylor]: Taking taylor expansion of base in im 14.922 * [backup-simplify]: Simplify base into base 14.922 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 14.922 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 14.923 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 14.923 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 14.923 * [backup-simplify]: Simplify (/ (- (log im)) (log (/ -1 base))) into (* -1 (/ (log im) (log (/ -1 base)))) 14.923 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in re 14.923 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 14.923 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.923 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.923 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.923 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.924 * [taylor]: Taking taylor expansion of -1 in re 14.924 * [backup-simplify]: Simplify -1 into -1 14.924 * [taylor]: Taking taylor expansion of re in re 14.924 * [backup-simplify]: Simplify 0 into 0 14.924 * [backup-simplify]: Simplify 1 into 1 14.924 * [backup-simplify]: Simplify (/ -1 1) into -1 14.924 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.924 * [taylor]: Taking taylor expansion of -1 in re 14.924 * [backup-simplify]: Simplify -1 into -1 14.924 * [taylor]: Taking taylor expansion of re in re 14.924 * [backup-simplify]: Simplify 0 into 0 14.924 * [backup-simplify]: Simplify 1 into 1 14.925 * [backup-simplify]: Simplify (/ -1 1) into -1 14.925 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.925 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.925 * [taylor]: Taking taylor expansion of -1 in re 14.925 * [backup-simplify]: Simplify -1 into -1 14.925 * [taylor]: Taking taylor expansion of im in re 14.925 * [backup-simplify]: Simplify im into im 14.925 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.925 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.925 * [taylor]: Taking taylor expansion of -1 in re 14.925 * [backup-simplify]: Simplify -1 into -1 14.925 * [taylor]: Taking taylor expansion of im in re 14.925 * [backup-simplify]: Simplify im into im 14.925 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.925 * [backup-simplify]: Simplify (* -1 -1) into 1 14.926 * [backup-simplify]: Simplify (+ 1 0) into 1 14.926 * [backup-simplify]: Simplify (sqrt 1) into 1 14.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.929 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.929 * [backup-simplify]: Simplify (+ 0 0) into 0 14.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.930 * [backup-simplify]: Simplify (log 1) into 0 14.930 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 14.930 * [taylor]: Taking taylor expansion of (/ -1 base) in re 14.930 * [taylor]: Taking taylor expansion of -1 in re 14.930 * [backup-simplify]: Simplify -1 into -1 14.930 * [taylor]: Taking taylor expansion of base in re 14.930 * [backup-simplify]: Simplify base into base 14.930 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 14.930 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 14.931 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 14.931 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 14.931 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ -1 base))) into (* -1 (/ (log re) (log (/ -1 base)))) 14.931 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in re 14.931 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 14.931 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 14.932 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 14.932 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 14.932 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 14.932 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.932 * [taylor]: Taking taylor expansion of -1 in re 14.932 * [backup-simplify]: Simplify -1 into -1 14.932 * [taylor]: Taking taylor expansion of re in re 14.932 * [backup-simplify]: Simplify 0 into 0 14.932 * [backup-simplify]: Simplify 1 into 1 14.932 * [backup-simplify]: Simplify (/ -1 1) into -1 14.932 * [taylor]: Taking taylor expansion of (/ -1 re) in re 14.932 * [taylor]: Taking taylor expansion of -1 in re 14.932 * [backup-simplify]: Simplify -1 into -1 14.932 * [taylor]: Taking taylor expansion of re in re 14.932 * [backup-simplify]: Simplify 0 into 0 14.932 * [backup-simplify]: Simplify 1 into 1 14.933 * [backup-simplify]: Simplify (/ -1 1) into -1 14.933 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 14.933 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.933 * [taylor]: Taking taylor expansion of -1 in re 14.933 * [backup-simplify]: Simplify -1 into -1 14.933 * [taylor]: Taking taylor expansion of im in re 14.933 * [backup-simplify]: Simplify im into im 14.933 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.933 * [taylor]: Taking taylor expansion of (/ -1 im) in re 14.933 * [taylor]: Taking taylor expansion of -1 in re 14.933 * [backup-simplify]: Simplify -1 into -1 14.933 * [taylor]: Taking taylor expansion of im in re 14.933 * [backup-simplify]: Simplify im into im 14.933 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 14.934 * [backup-simplify]: Simplify (* -1 -1) into 1 14.934 * [backup-simplify]: Simplify (+ 1 0) into 1 14.934 * [backup-simplify]: Simplify (sqrt 1) into 1 14.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.937 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 14.937 * [backup-simplify]: Simplify (+ 0 0) into 0 14.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 14.938 * [backup-simplify]: Simplify (log 1) into 0 14.938 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 14.938 * [taylor]: Taking taylor expansion of (/ -1 base) in re 14.938 * [taylor]: Taking taylor expansion of -1 in re 14.938 * [backup-simplify]: Simplify -1 into -1 14.938 * [taylor]: Taking taylor expansion of base in re 14.938 * [backup-simplify]: Simplify base into base 14.939 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 14.939 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 14.939 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 14.939 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 14.940 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ -1 base))) into (* -1 (/ (log re) (log (/ -1 base)))) 14.940 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ -1 base)))) in im 14.940 * [taylor]: Taking taylor expansion of -1 in im 14.940 * [backup-simplify]: Simplify -1 into -1 14.940 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ -1 base))) in im 14.940 * [taylor]: Taking taylor expansion of (log re) in im 14.940 * [taylor]: Taking taylor expansion of re in im 14.940 * [backup-simplify]: Simplify re into re 14.940 * [backup-simplify]: Simplify (log re) into (log re) 14.940 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 14.940 * [taylor]: Taking taylor expansion of (/ -1 base) in im 14.940 * [taylor]: Taking taylor expansion of -1 in im 14.940 * [backup-simplify]: Simplify -1 into -1 14.940 * [taylor]: Taking taylor expansion of base in im 14.940 * [backup-simplify]: Simplify base into base 14.940 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 14.940 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 14.940 * [backup-simplify]: Simplify (/ (log re) (log (/ -1 base))) into (/ (log re) (log (/ -1 base))) 14.940 * [backup-simplify]: Simplify (* -1 (/ (log re) (log (/ -1 base)))) into (* -1 (/ (log re) (log (/ -1 base)))) 14.941 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ -1 base)))) in base 14.941 * [taylor]: Taking taylor expansion of -1 in base 14.941 * [backup-simplify]: Simplify -1 into -1 14.941 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ -1 base))) in base 14.941 * [taylor]: Taking taylor expansion of (log re) in base 14.941 * [taylor]: Taking taylor expansion of re in base 14.941 * [backup-simplify]: Simplify re into re 14.941 * [backup-simplify]: Simplify (log re) into (log re) 14.941 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 14.941 * [taylor]: Taking taylor expansion of (/ -1 base) in base 14.941 * [taylor]: Taking taylor expansion of -1 in base 14.941 * [backup-simplify]: Simplify -1 into -1 14.941 * [taylor]: Taking taylor expansion of base in base 14.941 * [backup-simplify]: Simplify 0 into 0 14.941 * [backup-simplify]: Simplify 1 into 1 14.941 * [backup-simplify]: Simplify (/ -1 1) into -1 14.942 * [backup-simplify]: Simplify (log -1) into (log -1) 14.942 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 14.943 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 14.944 * [backup-simplify]: Simplify (/ (log re) (- (log -1) (log base))) into (/ (log re) (- (log -1) (log base))) 14.944 * [backup-simplify]: Simplify (* -1 (/ (log re) (- (log -1) (log base)))) into (* -1 (/ (log re) (- (log -1) (log base)))) 14.945 * [backup-simplify]: Simplify (* -1 (/ (log re) (- (log -1) (log base)))) into (* -1 (/ (log re) (- (log -1) (log base)))) 14.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 14.946 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 14.947 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 14.947 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (* -1 (/ (log re) (log (/ -1 base)))) (/ 0 (log (/ -1 base)))))) into 0 14.947 * [taylor]: Taking taylor expansion of 0 in im 14.947 * [backup-simplify]: Simplify 0 into 0 14.947 * [taylor]: Taking taylor expansion of 0 in base 14.947 * [backup-simplify]: Simplify 0 into 0 14.947 * [backup-simplify]: Simplify 0 into 0 14.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 14.948 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 14.948 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 14.948 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (/ (log re) (log (/ -1 base))) (/ 0 (log (/ -1 base)))))) into 0 14.949 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (log (/ -1 base))))) into 0 14.949 * [taylor]: Taking taylor expansion of 0 in base 14.949 * [backup-simplify]: Simplify 0 into 0 14.949 * [backup-simplify]: Simplify 0 into 0 14.949 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 14.950 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 14.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 14.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 14.952 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 14.952 * [backup-simplify]: Simplify (- (/ 0 (- (log -1) (log base))) (+ (* (/ (log re) (- (log -1) (log base))) (/ 0 (- (log -1) (log base)))))) into 0 14.953 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (- (log -1) (log base))))) into 0 14.953 * [backup-simplify]: Simplify 0 into 0 14.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.955 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 14.955 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 14.955 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 14.956 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 14.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 14.957 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 14.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 14.958 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log (/ -1 base))) (+ (* (* -1 (/ (log re) (log (/ -1 base)))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into (* 1/2 (/ 1 (* (pow im 2) (log (/ -1 base))))) 14.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow im 2) (log (/ -1 base))))) in im 14.958 * [taylor]: Taking taylor expansion of 1/2 in im 14.958 * [backup-simplify]: Simplify 1/2 into 1/2 14.958 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (log (/ -1 base)))) in im 14.958 * [taylor]: Taking taylor expansion of (* (pow im 2) (log (/ -1 base))) in im 14.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 14.959 * [taylor]: Taking taylor expansion of im in im 14.959 * [backup-simplify]: Simplify 0 into 0 14.959 * [backup-simplify]: Simplify 1 into 1 14.959 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 14.959 * [taylor]: Taking taylor expansion of (/ -1 base) in im 14.959 * [taylor]: Taking taylor expansion of -1 in im 14.959 * [backup-simplify]: Simplify -1 into -1 14.959 * [taylor]: Taking taylor expansion of base in im 14.959 * [backup-simplify]: Simplify base into base 14.959 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 14.959 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 14.959 * [backup-simplify]: Simplify (* 1 1) into 1 14.959 * [backup-simplify]: Simplify (* 1 (log (/ -1 base))) into (log (/ -1 base)) 14.959 * [backup-simplify]: Simplify (/ 1 (log (/ -1 base))) into (/ 1 (log (/ -1 base))) 14.959 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 14.959 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 14.960 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 14.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.961 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 14.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (/ -1 base))))) into 0 14.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (/ -1 base)))) into 0 14.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ -1 base))) (/ 0 (log (/ -1 base)))))) into 0 14.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ -1 base))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into 0 14.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log (/ -1 base)))))) into 0 14.964 * [taylor]: Taking taylor expansion of 0 in base 14.964 * [backup-simplify]: Simplify 0 into 0 14.964 * [backup-simplify]: Simplify 0 into 0 14.964 * [taylor]: Taking taylor expansion of 0 in base 14.964 * [backup-simplify]: Simplify 0 into 0 14.964 * [backup-simplify]: Simplify 0 into 0 14.966 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 14.966 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 14.967 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 14.967 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (/ (log re) (log (/ -1 base))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into 0 14.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (log re) (log (/ -1 base)))))) into 0 14.968 * [taylor]: Taking taylor expansion of 0 in base 14.968 * [backup-simplify]: Simplify 0 into 0 14.968 * [backup-simplify]: Simplify 0 into 0 14.969 * [backup-simplify]: Simplify (* -1 (/ (log (/ 1 (- re))) (- (log -1) (log (/ 1 (- base)))))) into (* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))) 14.969 * * * [progress]: simplifying candidates 14.970 * * * * [progress]: [ 1 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 2 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 3 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 4 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 5 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 6 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 7 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 8 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 9 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 10 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 11 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 12 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 13 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 14 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 15 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 16 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 17 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 18 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 19 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 20 / 2062 ] simplifiying candidate # 14.970 * * * * [progress]: [ 21 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 22 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 23 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 24 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 25 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 26 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 27 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 28 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 29 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 30 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 31 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 32 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 33 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 34 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 35 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 36 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 37 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 38 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 39 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 40 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 41 / 2062 ] simplifiying candidate # 14.971 * * * * [progress]: [ 42 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 43 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 44 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 45 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 46 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 47 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 48 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 49 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 50 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 51 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 52 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 53 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 54 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 55 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 56 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 57 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 58 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 59 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 60 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 61 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 62 / 2062 ] simplifiying candidate # 14.972 * * * * [progress]: [ 63 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 64 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 65 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 66 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 67 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 68 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 69 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 70 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 71 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 72 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 73 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 74 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 75 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 76 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 77 / 2062 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) (log base)))> 14.973 * * * * [progress]: [ 78 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 79 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 80 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 81 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 82 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 83 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 84 / 2062 ] simplifiying candidate # 14.973 * * * * [progress]: [ 85 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 86 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 87 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 88 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 89 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 90 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 91 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 92 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 93 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 94 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 95 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 96 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 97 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 98 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 99 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 100 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 101 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 102 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 103 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 104 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 105 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 106 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 107 / 2062 ] simplifiying candidate # 14.974 * * * * [progress]: [ 108 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 109 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 110 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 111 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 112 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 113 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 114 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 115 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 116 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 117 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 118 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 119 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 120 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 121 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 122 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 123 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 124 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 125 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 126 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 127 / 2062 ] simplifiying candidate # 14.975 * * * * [progress]: [ 128 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 129 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 130 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 131 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 132 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 133 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 134 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 135 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 136 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 137 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 138 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 139 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 140 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 141 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 142 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 143 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 144 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 145 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 146 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 147 / 2062 ] simplifiying candidate # 14.976 * * * * [progress]: [ 148 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 149 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 150 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 151 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 152 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 153 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 154 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 155 / 2062 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)))> 14.977 * * * * [progress]: [ 156 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 157 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 158 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 159 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 160 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 161 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 162 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 163 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 164 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 165 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 166 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 167 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 168 / 2062 ] simplifiying candidate # 14.977 * * * * [progress]: [ 169 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 170 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 171 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 172 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 173 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 174 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 175 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 176 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 177 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 178 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 179 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 180 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 181 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 182 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 183 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 184 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 185 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 186 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 187 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 188 / 2062 ] simplifiying candidate # 14.978 * * * * [progress]: [ 189 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 190 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 191 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 192 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 193 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 194 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 195 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 196 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 197 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 198 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 199 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 200 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 201 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 202 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 203 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 204 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 205 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 206 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 207 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 208 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 209 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 210 / 2062 ] simplifiying candidate # 14.979 * * * * [progress]: [ 211 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 212 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 213 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 214 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 215 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 216 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 217 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 218 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 219 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 220 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 221 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 222 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 223 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 224 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 225 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 226 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 227 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 228 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 229 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 230 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 231 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 232 / 2062 ] simplifiying candidate # 14.980 * * * * [progress]: [ 233 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 234 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 235 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 236 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 237 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 238 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 239 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 240 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 241 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 242 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 243 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 244 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 245 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 246 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 247 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 248 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 249 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 250 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 251 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 252 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 253 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 254 / 2062 ] simplifiying candidate # 14.981 * * * * [progress]: [ 255 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 256 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 257 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 258 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 259 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 260 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 261 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 262 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 263 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 264 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 265 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 266 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 267 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 268 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 269 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 270 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 271 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 272 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 273 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 274 / 2062 ] simplifiying candidate # 14.982 * * * * [progress]: [ 275 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 276 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 277 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 278 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 279 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 280 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 281 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 282 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 283 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 284 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 285 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 286 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 287 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 288 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 289 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 290 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 291 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 292 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 293 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 294 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 295 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 296 / 2062 ] simplifiying candidate # 14.983 * * * * [progress]: [ 297 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 298 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 299 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 300 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 301 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 302 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 303 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 304 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 305 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 306 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 307 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 308 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 309 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 310 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 311 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 312 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 313 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 314 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 315 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 316 / 2062 ] simplifiying candidate # 14.984 * * * * [progress]: [ 317 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 318 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 319 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 320 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 321 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 322 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 323 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 324 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 325 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 326 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 327 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 328 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 329 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 330 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 331 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 332 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 333 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 334 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 335 / 2062 ] simplifiying candidate # 14.985 * * * * [progress]: [ 336 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 337 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 338 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 339 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 340 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 341 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 342 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 343 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 344 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 345 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 346 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 347 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 348 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 349 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 350 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 351 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 352 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 353 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 354 / 2062 ] simplifiying candidate # 14.986 * * * * [progress]: [ 355 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 356 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 357 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 358 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 359 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 360 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 361 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 362 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 363 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 364 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 365 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 366 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 367 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 368 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 369 / 2062 ] simplifiying candidate # 14.987 * * * * [progress]: [ 370 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 371 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 372 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 373 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 374 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 375 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 376 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 377 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 378 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 379 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 380 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 381 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 382 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 383 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 384 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 385 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 386 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 387 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 388 / 2062 ] simplifiying candidate # 14.988 * * * * [progress]: [ 389 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 390 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 391 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 392 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 393 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 394 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 395 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 396 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 397 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 398 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 399 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 400 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 401 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 402 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 403 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 404 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 405 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 406 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 407 / 2062 ] simplifiying candidate # 14.989 * * * * [progress]: [ 408 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 409 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 410 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 411 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 412 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 413 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 414 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 415 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 416 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 417 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 418 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 419 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 420 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 421 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 422 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 423 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 424 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 425 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 426 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 427 / 2062 ] simplifiying candidate # 14.990 * * * * [progress]: [ 428 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 429 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 430 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 431 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 432 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 433 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 434 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 435 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 436 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 437 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 438 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 439 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 440 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 441 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 442 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 443 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 444 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 445 / 2062 ] simplifiying candidate # 14.991 * * * * [progress]: [ 446 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 447 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 448 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 449 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 450 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 451 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 452 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 453 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 454 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 455 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 456 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 457 / 2062 ] simplifiying candidate # 14.992 * * * * [progress]: [ 458 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 459 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 460 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 461 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 462 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 463 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 464 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 465 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 466 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 467 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 468 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 469 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 470 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 471 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 472 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 473 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 474 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 475 / 2062 ] simplifiying candidate # 14.993 * * * * [progress]: [ 476 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 477 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 478 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 479 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 480 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 481 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 482 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 483 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 484 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 485 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 486 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 487 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 488 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 489 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 490 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 491 / 2062 ] simplifiying candidate # 14.994 * * * * [progress]: [ 492 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 493 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 494 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 495 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 496 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 497 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 498 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 499 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 500 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 501 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 502 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 503 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 504 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 505 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 506 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 507 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 508 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 509 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 510 / 2062 ] simplifiying candidate # 14.995 * * * * [progress]: [ 511 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 512 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 513 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 514 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 515 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 516 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 517 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 518 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 519 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 520 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 521 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 522 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 523 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 524 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 525 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 526 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 527 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 528 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 529 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 530 / 2062 ] simplifiying candidate # 14.996 * * * * [progress]: [ 531 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 532 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 533 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 534 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 535 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 536 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 537 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 538 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 539 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 540 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 541 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 542 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 543 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 544 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 545 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 546 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 547 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 548 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 549 / 2062 ] simplifiying candidate # 14.997 * * * * [progress]: [ 550 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 551 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 552 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 553 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 554 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 555 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 556 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 557 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 558 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 559 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 560 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 561 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 562 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 563 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 564 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 565 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 566 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 567 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 568 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 569 / 2062 ] simplifiying candidate # 14.998 * * * * [progress]: [ 570 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 571 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 572 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 573 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 574 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 575 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 576 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 577 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 578 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 579 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 580 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 581 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 582 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 583 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 584 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 585 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 586 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 587 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 588 / 2062 ] simplifiying candidate # 14.999 * * * * [progress]: [ 589 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 590 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 591 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 592 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 593 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 594 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 595 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 596 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 597 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 598 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 599 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 600 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 601 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 602 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 603 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 604 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 605 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 606 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 607 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 608 / 2062 ] simplifiying candidate # 15.000 * * * * [progress]: [ 609 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 610 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 611 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 612 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 613 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 614 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 615 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 616 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 617 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 618 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 619 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 620 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 621 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 622 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 623 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 624 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 625 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 626 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 627 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 628 / 2062 ] simplifiying candidate # 15.001 * * * * [progress]: [ 629 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 630 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 631 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 632 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 633 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 634 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 635 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 636 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 637 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 638 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 639 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 640 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 641 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 642 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 643 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 644 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 645 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 646 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 647 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 648 / 2062 ] simplifiying candidate # 15.002 * * * * [progress]: [ 649 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 650 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 651 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 652 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 653 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 654 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 655 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 656 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 657 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 658 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 659 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 660 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 661 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 662 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 663 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 664 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 665 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 666 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 667 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 668 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 669 / 2062 ] simplifiying candidate # 15.003 * * * * [progress]: [ 670 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 671 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 672 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 673 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 674 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 675 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 676 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 677 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 678 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 679 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 680 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 681 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 682 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 683 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 684 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 685 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 686 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 687 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 688 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 689 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 690 / 2062 ] simplifiying candidate # 15.004 * * * * [progress]: [ 691 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 692 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 693 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 694 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 695 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 696 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 697 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 698 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 699 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 700 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 701 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 702 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 703 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 704 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 705 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 706 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 707 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 708 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 709 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 710 / 2062 ] simplifiying candidate # 15.005 * * * * [progress]: [ 711 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 712 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 713 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 714 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 715 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 716 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 717 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 718 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 719 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 720 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 721 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 722 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 723 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 724 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 725 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 726 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 727 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 728 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 729 / 2062 ] simplifiying candidate # 15.006 * * * * [progress]: [ 730 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 731 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 732 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 733 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 734 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 735 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 736 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 737 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 738 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 739 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 740 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 741 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 742 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 743 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 744 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 745 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 746 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 747 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 748 / 2062 ] simplifiying candidate # 15.007 * * * * [progress]: [ 749 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 750 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 751 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 752 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 753 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 754 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 755 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 756 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 757 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 758 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 759 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 760 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 761 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 762 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 763 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 764 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 765 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 766 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 767 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 768 / 2062 ] simplifiying candidate # 15.008 * * * * [progress]: [ 769 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 770 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 771 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 772 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 773 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 774 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 775 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 776 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 777 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 778 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 779 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 780 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 781 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 782 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 783 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 784 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 785 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 786 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 787 / 2062 ] simplifiying candidate # 15.009 * * * * [progress]: [ 788 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 789 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 790 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 791 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 792 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 793 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 794 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 795 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 796 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 797 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 798 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 799 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 800 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 801 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 802 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 803 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 804 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 805 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 806 / 2062 ] simplifiying candidate # 15.010 * * * * [progress]: [ 807 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 808 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 809 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 810 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 811 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 812 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 813 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 814 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 815 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 816 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 817 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 818 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 819 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 820 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 821 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 822 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 823 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 824 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 825 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 826 / 2062 ] simplifiying candidate # 15.011 * * * * [progress]: [ 827 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 828 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 829 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 830 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 831 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 832 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 833 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 834 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 835 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 836 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 837 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 838 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 839 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 840 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 841 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 842 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 843 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 844 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 845 / 2062 ] simplifiying candidate # 15.012 * * * * [progress]: [ 846 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 847 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 848 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 849 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 850 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 851 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 852 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 853 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 854 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 855 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 856 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 857 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 858 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 859 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 860 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 861 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 862 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 863 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 864 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 865 / 2062 ] simplifiying candidate # 15.013 * * * * [progress]: [ 866 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 867 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 868 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 869 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 870 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 871 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 872 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 873 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 874 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 875 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 876 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 877 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 878 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 879 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 880 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 881 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 882 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 883 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 884 / 2062 ] simplifiying candidate # 15.014 * * * * [progress]: [ 885 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 886 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 887 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 888 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 889 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 890 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 891 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 892 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 893 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 894 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 895 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 896 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 897 / 2062 ] simplifiying candidate # 15.015 * * * * [progress]: [ 898 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 899 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 900 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 901 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 902 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 903 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 904 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 905 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 906 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 907 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 908 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 909 / 2062 ] simplifiying candidate # 15.016 * * * * [progress]: [ 910 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 911 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 912 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 913 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 914 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 915 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 916 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 917 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 918 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 919 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 920 / 2062 ] simplifiying candidate # 15.017 * * * * [progress]: [ 921 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 922 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 923 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 924 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 925 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 926 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 927 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 928 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 929 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 930 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 931 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 932 / 2062 ] simplifiying candidate # 15.018 * * * * [progress]: [ 933 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 934 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 935 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 936 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 937 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 938 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 939 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 940 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 941 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 942 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 943 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 944 / 2062 ] simplifiying candidate # 15.019 * * * * [progress]: [ 945 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 946 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 947 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 948 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 949 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 950 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 951 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 952 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 953 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 954 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 955 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 956 / 2062 ] simplifiying candidate # 15.020 * * * * [progress]: [ 957 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 958 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 959 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 960 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 961 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 962 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 963 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 964 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 965 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 966 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 967 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 968 / 2062 ] simplifiying candidate # 15.021 * * * * [progress]: [ 969 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 970 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 971 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 972 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 973 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 974 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 975 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 976 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 977 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 978 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 979 / 2062 ] simplifiying candidate # 15.022 * * * * [progress]: [ 980 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 981 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 982 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 983 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 984 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 985 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 986 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 987 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 988 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 989 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 990 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 991 / 2062 ] simplifiying candidate # 15.023 * * * * [progress]: [ 992 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 993 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 994 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 995 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 996 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 997 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 998 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 999 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 1000 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 1001 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 1002 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 1003 / 2062 ] simplifiying candidate # 15.024 * * * * [progress]: [ 1004 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1005 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1006 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1007 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1008 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1009 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1010 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1011 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1012 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1013 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1014 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1015 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1016 / 2062 ] simplifiying candidate # 15.025 * * * * [progress]: [ 1017 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1018 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1019 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1020 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1021 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1022 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1023 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1024 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1025 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1026 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1027 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1028 / 2062 ] simplifiying candidate # 15.026 * * * * [progress]: [ 1029 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1030 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1031 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1032 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1033 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1034 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1035 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1036 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1037 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1038 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1039 / 2062 ] simplifiying candidate # 15.027 * * * * [progress]: [ 1040 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1041 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1042 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1043 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1044 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1045 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1046 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1047 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1048 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1049 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1050 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1051 / 2062 ] simplifiying candidate # 15.028 * * * * [progress]: [ 1052 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1053 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1054 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1055 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1056 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1057 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1058 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1059 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1060 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1061 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1062 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1063 / 2062 ] simplifiying candidate # 15.029 * * * * [progress]: [ 1064 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1065 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1066 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1067 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1068 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1069 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1070 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1071 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1072 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1073 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1074 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1075 / 2062 ] simplifiying candidate # 15.030 * * * * [progress]: [ 1076 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1077 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1078 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1079 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1080 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1081 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1082 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1083 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1084 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1085 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1086 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1087 / 2062 ] simplifiying candidate # 15.031 * * * * [progress]: [ 1088 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1089 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1090 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1091 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1092 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1093 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1094 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1095 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1096 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1097 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1098 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1099 / 2062 ] simplifiying candidate # 15.032 * * * * [progress]: [ 1100 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1101 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1102 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1103 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1104 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1105 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1106 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1107 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1108 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1109 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1110 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1111 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1112 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1113 / 2062 ] simplifiying candidate # 15.033 * * * * [progress]: [ 1114 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1115 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1116 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1117 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1118 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1119 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1120 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1121 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1122 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1123 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1124 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1125 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1126 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1127 / 2062 ] simplifiying candidate # 15.034 * * * * [progress]: [ 1128 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1129 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1130 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1131 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1132 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1133 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1134 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1135 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1136 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1137 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1138 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1139 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1140 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1141 / 2062 ] simplifiying candidate # 15.035 * * * * [progress]: [ 1142 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1143 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1144 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1145 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1146 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1147 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1148 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1149 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1150 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1151 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1152 / 2062 ] simplifiying candidate # 15.036 * * * * [progress]: [ 1153 / 2062 ] simplifiying candidate # 15.037 * * * * [progress]: [ 1154 / 2062 ] simplifiying candidate # 15.037 * * * * [progress]: [ 1155 / 2062 ] simplifiying candidate # 15.037 * * * * [progress]: [ 1156 / 2062 ] simplifiying candidate # 15.037 * * * * [progress]: [ 1157 / 2062 ] simplifiying candidate # 15.037 * * * * [progress]: [ 1158 / 2062 ] simplifiying candidate # 15.037 * * * * [progress]: [ 1159 / 2062 ] simplifiying candidate # 15.037 * * * * [progress]: [ 1160 / 2062 ] simplifiying candidate # 15.037 * * * * [progress]: [ 1161 / 2062 ] simplifiying candidate # 15.038 * * * * [progress]: [ 1162 / 2062 ] simplifiying candidate # 15.038 * * * * [progress]: [ 1163 / 2062 ] simplifiying candidate # 15.038 * * * * [progress]: [ 1164 / 2062 ] simplifiying candidate # 15.038 * * * * [progress]: [ 1165 / 2062 ] simplifiying candidate # 15.038 * * * * [progress]: [ 1166 / 2062 ] simplifiying candidate # 15.038 * * * * [progress]: [ 1167 / 2062 ] simplifiying candidate # 15.038 * * * * [progress]: [ 1168 / 2062 ] simplifiying candidate # 15.038 * * * * [progress]: [ 1169 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1170 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1171 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1172 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1173 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1174 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1175 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1176 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1177 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1178 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1179 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1180 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1181 / 2062 ] simplifiying candidate # 15.039 * * * * [progress]: [ 1182 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1183 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1184 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1185 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1186 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1187 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1188 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1189 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1190 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1191 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1192 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1193 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1194 / 2062 ] simplifiying candidate # 15.040 * * * * [progress]: [ 1195 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1196 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1197 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1198 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1199 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1200 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1201 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1202 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1203 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1204 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1205 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1206 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1207 / 2062 ] simplifiying candidate # 15.041 * * * * [progress]: [ 1208 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1209 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1210 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1211 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1212 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1213 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1214 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1215 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1216 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1217 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1218 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1219 / 2062 ] simplifiying candidate # 15.042 * * * * [progress]: [ 1220 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1221 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1222 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1223 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1224 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1225 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1226 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1227 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1228 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1229 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1230 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1231 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1232 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1233 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1234 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1235 / 2062 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) (log base)))> 15.043 * * * * [progress]: [ 1236 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1237 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1238 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1239 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1240 / 2062 ] simplifiying candidate # 15.043 * * * * [progress]: [ 1241 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1242 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1243 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1244 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1245 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1246 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1247 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1248 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1249 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1250 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1251 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1252 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1253 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1254 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1255 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1256 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1257 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1258 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1259 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1260 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1261 / 2062 ] simplifiying candidate # 15.044 * * * * [progress]: [ 1262 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1263 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1264 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1265 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1266 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1267 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1268 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1269 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1270 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1271 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1272 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1273 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1274 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1275 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1276 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1277 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1278 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1279 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1280 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1281 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1282 / 2062 ] simplifiying candidate # 15.045 * * * * [progress]: [ 1283 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1284 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1285 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1286 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1287 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1288 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1289 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1290 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1291 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1292 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1293 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1294 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1295 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1296 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1297 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1298 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1299 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1300 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1301 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1302 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1303 / 2062 ] simplifiying candidate # 15.046 * * * * [progress]: [ 1304 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1305 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1306 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1307 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1308 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1309 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1310 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1311 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1312 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1313 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1314 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1315 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1316 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1317 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1318 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1319 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1320 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1321 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1322 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1323 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1324 / 2062 ] simplifiying candidate # 15.047 * * * * [progress]: [ 1325 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1326 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1327 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1328 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1329 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1330 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1331 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1332 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1333 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1334 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1335 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1336 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1337 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1338 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1339 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1340 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1341 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1342 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1343 / 2062 ] simplifiying candidate # 15.048 * * * * [progress]: [ 1344 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1345 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1346 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1347 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1348 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1349 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1350 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1351 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1352 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1353 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1354 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1355 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1356 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1357 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1358 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1359 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1360 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1361 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1362 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1363 / 2062 ] simplifiying candidate # 15.049 * * * * [progress]: [ 1364 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1365 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1366 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1367 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1368 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1369 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1370 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1371 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1372 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1373 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1374 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1375 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1376 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1377 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1378 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1379 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1380 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1381 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1382 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1383 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1384 / 2062 ] simplifiying candidate # 15.050 * * * * [progress]: [ 1385 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1386 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1387 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1388 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1389 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1390 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1391 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1392 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1393 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1394 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1395 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1396 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1397 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1398 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1399 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1400 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1401 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1402 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1403 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1404 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1405 / 2062 ] simplifiying candidate # 15.051 * * * * [progress]: [ 1406 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1407 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1408 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1409 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1410 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1411 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1412 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1413 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1414 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1415 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1416 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1417 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1418 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1419 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1420 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1421 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1422 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1423 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1424 / 2062 ] simplifiying candidate # 15.052 * * * * [progress]: [ 1425 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1426 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1427 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1428 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1429 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1430 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1431 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1432 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1433 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1434 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1435 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1436 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1437 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1438 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1439 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1440 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1441 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1442 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1443 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1444 / 2062 ] simplifiying candidate # 15.053 * * * * [progress]: [ 1445 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1446 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1447 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1448 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1449 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1450 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1451 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1452 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1453 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1454 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1455 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1456 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1457 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1458 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1459 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1460 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1461 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1462 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1463 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1464 / 2062 ] simplifiying candidate # 15.054 * * * * [progress]: [ 1465 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1466 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1467 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1468 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1469 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1470 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1471 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1472 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1473 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1474 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1475 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1476 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1477 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1478 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1479 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1480 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1481 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1482 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1483 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1484 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1485 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1486 / 2062 ] simplifiying candidate # 15.055 * * * * [progress]: [ 1487 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1488 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1489 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1490 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1491 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1492 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1493 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1494 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1495 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1496 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1497 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1498 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1499 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1500 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1501 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1502 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1503 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1504 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1505 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1506 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1507 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1508 / 2062 ] simplifiying candidate # 15.056 * * * * [progress]: [ 1509 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1510 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1511 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1512 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1513 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1514 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1515 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1516 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1517 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1518 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1519 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1520 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1521 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1522 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1523 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1524 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1525 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1526 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1527 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1528 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1529 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1530 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1531 / 2062 ] simplifiying candidate # 15.057 * * * * [progress]: [ 1532 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1533 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1534 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1535 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1536 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1537 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1538 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1539 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1540 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1541 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1542 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1543 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1544 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1545 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1546 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1547 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1548 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1549 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1550 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1551 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1552 / 2062 ] simplifiying candidate # 15.058 * * * * [progress]: [ 1553 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1554 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1555 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1556 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1557 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1558 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1559 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1560 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1561 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1562 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1563 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1564 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1565 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1566 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1567 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1568 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1569 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1570 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1571 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1572 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1573 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1574 / 2062 ] simplifiying candidate # 15.059 * * * * [progress]: [ 1575 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1576 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1577 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1578 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1579 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1580 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1581 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1582 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1583 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1584 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1585 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1586 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1587 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1588 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1589 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1590 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1591 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1592 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1593 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1594 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1595 / 2062 ] simplifiying candidate # 15.060 * * * * [progress]: [ 1596 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1597 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1598 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1599 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1600 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1601 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1602 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1603 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1604 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1605 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1606 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1607 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1608 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1609 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1610 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1611 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1612 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1613 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1614 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1615 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1616 / 2062 ] simplifiying candidate # 15.061 * * * * [progress]: [ 1617 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1618 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1619 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1620 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1621 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1622 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1623 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1624 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1625 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1626 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1627 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1628 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1629 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1630 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1631 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1632 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1633 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1634 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1635 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1636 / 2062 ] simplifiying candidate # 15.062 * * * * [progress]: [ 1637 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1638 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1639 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1640 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1641 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1642 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1643 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1644 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1645 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1646 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1647 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1648 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1649 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1650 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1651 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1652 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1653 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1654 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1655 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1656 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1657 / 2062 ] simplifiying candidate # 15.063 * * * * [progress]: [ 1658 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1659 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1660 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1661 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1662 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1663 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1664 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1665 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1666 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1667 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1668 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1669 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1670 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1671 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1672 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1673 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1674 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1675 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1676 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1677 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1678 / 2062 ] simplifiying candidate # 15.064 * * * * [progress]: [ 1679 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1680 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1681 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1682 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1683 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1684 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1685 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1686 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1687 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1688 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1689 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1690 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1691 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1692 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1693 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1694 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1695 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1696 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1697 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1698 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1699 / 2062 ] simplifiying candidate # 15.065 * * * * [progress]: [ 1700 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1701 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1702 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1703 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1704 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1705 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1706 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1707 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1708 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1709 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1710 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1711 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1712 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1713 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1714 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1715 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1716 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1717 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1718 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1719 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1720 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1721 / 2062 ] simplifiying candidate # 15.066 * * * * [progress]: [ 1722 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1723 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1724 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1725 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1726 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1727 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1728 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1729 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1730 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1731 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1732 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1733 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1734 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1735 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1736 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1737 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1738 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1739 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1740 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1741 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1742 / 2062 ] simplifiying candidate # 15.067 * * * * [progress]: [ 1743 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1744 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1745 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1746 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1747 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1748 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1749 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1750 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1751 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1752 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1753 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1754 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1755 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1756 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1757 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1758 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1759 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1760 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1761 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1762 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1763 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1764 / 2062 ] simplifiying candidate # 15.068 * * * * [progress]: [ 1765 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1766 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1767 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1768 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1769 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1770 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1771 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1772 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1773 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1774 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1775 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1776 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1777 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1778 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1779 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1780 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1781 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1782 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1783 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1784 / 2062 ] simplifiying candidate # 15.069 * * * * [progress]: [ 1785 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1786 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1787 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1788 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1789 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1790 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1791 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1792 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1793 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1794 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1795 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1796 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1797 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1798 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1799 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1800 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1801 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1802 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1803 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1804 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1805 / 2062 ] simplifiying candidate # 15.070 * * * * [progress]: [ 1806 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1807 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1808 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1809 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1810 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1811 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1812 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1813 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1814 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1815 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1816 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1817 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1818 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1819 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1820 / 2062 ] simplifiying candidate # 15.071 * * * * [progress]: [ 1821 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1822 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1823 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1824 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1825 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1826 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1827 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1828 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1829 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1830 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1831 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1832 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1833 / 2062 ] simplifiying candidate # 15.072 * * * * [progress]: [ 1834 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1835 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1836 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1837 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1838 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1839 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1840 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1841 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1842 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1843 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1844 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1845 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1846 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1847 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1848 / 2062 ] simplifiying candidate # 15.073 * * * * [progress]: [ 1849 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1850 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1851 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1852 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1853 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1854 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1855 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1856 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1857 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1858 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1859 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1860 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1861 / 2062 ] simplifiying candidate # 15.074 * * * * [progress]: [ 1862 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1863 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1864 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1865 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1866 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1867 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1868 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1869 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1870 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1871 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1872 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1873 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1874 / 2062 ] simplifiying candidate # 15.075 * * * * [progress]: [ 1875 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1876 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1877 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1878 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1879 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1880 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1881 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1882 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1883 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1884 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1885 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1886 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1887 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1888 / 2062 ] simplifiying candidate # 15.076 * * * * [progress]: [ 1889 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1890 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1891 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1892 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1893 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1894 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1895 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1896 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1897 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1898 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1899 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1900 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1901 / 2062 ] simplifiying candidate # 15.077 * * * * [progress]: [ 1902 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1903 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1904 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1905 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1906 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1907 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1908 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1909 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1910 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1911 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1912 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1913 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1914 / 2062 ] simplifiying candidate # 15.078 * * * * [progress]: [ 1915 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1916 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1917 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1918 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1919 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1920 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1921 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1922 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1923 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1924 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1925 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1926 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1927 / 2062 ] simplifiying candidate # 15.079 * * * * [progress]: [ 1928 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1929 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1930 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1931 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1932 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1933 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1934 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1935 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1936 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1937 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1938 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1939 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1940 / 2062 ] simplifiying candidate # 15.080 * * * * [progress]: [ 1941 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1942 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1943 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1944 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1945 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1946 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1947 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1948 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1949 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1950 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1951 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1952 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1953 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1954 / 2062 ] simplifiying candidate # 15.081 * * * * [progress]: [ 1955 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1956 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1957 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1958 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1959 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1960 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1961 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1962 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1963 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1964 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1965 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1966 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1967 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1968 / 2062 ] simplifiying candidate # 15.082 * * * * [progress]: [ 1969 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1970 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1971 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1972 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1973 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1974 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1975 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1976 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1977 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1978 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1979 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1980 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1981 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1982 / 2062 ] simplifiying candidate # 15.083 * * * * [progress]: [ 1983 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1984 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1985 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1986 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1987 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1988 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1989 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1990 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1991 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1992 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1993 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1994 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1995 / 2062 ] simplifiying candidate # 15.084 * * * * [progress]: [ 1996 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 1997 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 1998 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 1999 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2000 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2001 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2002 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2003 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2004 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2005 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2006 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2007 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2008 / 2062 ] simplifiying candidate # 15.085 * * * * [progress]: [ 2009 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2010 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2011 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2012 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2013 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2014 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2015 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2016 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2017 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2018 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2019 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2020 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2021 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2022 / 2062 ] simplifiying candidate # 15.086 * * * * [progress]: [ 2023 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2024 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2025 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2026 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2027 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2028 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2029 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2030 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2031 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2032 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2033 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2034 / 2062 ] simplifiying candidate # 15.087 * * * * [progress]: [ 2035 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2036 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2037 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2038 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2039 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2040 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2041 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2042 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2043 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2044 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2045 / 2062 ] simplifiying candidate # 15.088 * * * * [progress]: [ 2046 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2047 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2048 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2049 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2050 / 2062 ] simplifiying candidate #real (real->posit16 (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)))))> 15.089 * * * * [progress]: [ 2051 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2052 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2053 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2054 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2055 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2056 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2057 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2058 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2059 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2060 / 2062 ] simplifiying candidate # 15.089 * * * * [progress]: [ 2061 / 2062 ] simplifiying candidate # 15.090 * * * * [progress]: [ 2062 / 2062 ] simplifiying candidate # 15.151 * [simplify]: Simplifying: (expm1 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log1p (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (exp (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* 1 1) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) 1) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (expm1 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log1p (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (exp (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* 1 1) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) 1) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (expm1 (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log1p (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (+ (+ 1/2 1/2) (+ 1/2 1/2)) (+ (+ 1/2 1/2) (+ 1/2 (/ 1 2))) (+ (+ 1/2 1/2) (+ (/ 1 2) 1/2)) (+ (+ 1/2 1/2) (+ (/ 1 2) (/ 1 2))) (+ (+ 1/2 1/2) (* 2 1/2)) (+ (+ 1/2 1/2) (* 2 (/ 1 2))) (+ (+ 1/2 (/ 1 2)) (+ 1/2 1/2)) (+ (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2))) (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) 1/2)) (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (+ (+ 1/2 (/ 1 2)) (* 2 1/2)) (+ (+ 1/2 (/ 1 2)) (* 2 (/ 1 2))) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (+ (+ (/ 1 2) 1/2) (+ 1/2 1/2)) (+ (+ (/ 1 2) 1/2) (+ 1/2 (/ 1 2))) (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) 1/2)) (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2))) (+ (+ (/ 1 2) 1/2) (* 2 1/2)) (+ (+ (/ 1 2) 1/2) (* 2 (/ 1 2))) (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 1/2)) (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 (/ 1 2))) (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2)) (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (+ (+ (/ 1 2) (/ 1 2)) (* 2 1/2)) (+ (+ (/ 1 2) (/ 1 2)) (* 2 (/ 1 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1/2) (+ 1/2 1/2)) (+ (* 2 1/2) (+ 1/2 (/ 1 2))) (+ (* 2 1/2) (+ (/ 1 2) 1/2)) (+ (* 2 1/2) (+ (/ 1 2) (/ 1 2))) (+ (* 2 1/2) (* 2 1/2)) (+ (* 2 1/2) (* 2 (/ 1 2))) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (* 2 (/ 1/2 2)) (* 2 (/ 1/2 2))) (+ (* 2 (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (+ (* 2 (/ 1 2)) (+ 1/2 1/2)) (+ (* 2 (/ 1 2)) (+ 1/2 (/ 1 2))) (+ (* 2 (/ 1 2)) (+ (/ 1 2) 1/2)) (+ (* 2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (+ (* 2 (/ 1 2)) (* 2 1/2)) (+ (* 2 (/ 1 2)) (* 2 (/ 1 2))) (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ 1 1) (+ (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))))) (+ (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (+ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))))) (+ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (exp (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (cbrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (cbrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* 1 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* 1 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (* (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt 1) (sqrt 1)) (* (sqrt 1) (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* 1 1) (* 1 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) 1) (* (sqrt (sqrt (hypot re im))) 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt 1) (sqrt 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* 1 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* 1 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 (+ 1/2 1/2)) (* 2 (+ 1/2 (/ 1 2))) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 (+ (/ 1/2 2) (/ 1/2 2))) (* 2 (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* 2 (+ (/ 1 2) 1/2)) (* 2 (+ (/ 1 2) (/ 1 2))) (* 2 (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* 2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* 2 1/2) (* 2 1) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1/2)) (* 2 (* 2 1)) (* 2 (* 2 (/ 1/2 2))) (* 2 (* 2 (/ 1 2))) (* 2 (* 2 (/ (/ 1 2) 2))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (real->posit16 (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (expm1 (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (log1p (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (- (log (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log (log base))) (log (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (exp (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (/ (* (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (* (* (log base) (log base)) (log base))) (* (cbrt (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (cbrt (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)))) (cbrt (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (* (* (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (sqrt (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (sqrt (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (- (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (- (log base)) (/ (+ (+ 1/2 1/2) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (+ 1/2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 1/2) (+ 1/2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 1/2) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (+ 1/2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 1/2) (+ 1/2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 1/2) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (+ (/ 1 2) 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 1/2) (+ (/ 1 2) 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 1/2) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (+ (/ 1 2) (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 1/2) (+ (/ 1 2) (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 1/2) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (* 2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 1/2) (* 2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 1/2) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 1/2) (* 2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 1/2) (* 2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 1/2) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (+ 1/2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (+ 1/2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (* 2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (* 2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1/2 (/ 1 2)) (* 2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (* 2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ 1/2 (/ 1 2)) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ 1 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (+ 1 1) (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (+ 1 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (+ 1 1) 2) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (+ 1 1) 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (+ 1 1) (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (+ 1 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (* 2 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (+ 1 1) (* 2 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (+ 1 1) (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ 1 2) 1/2) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (+ 1/2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (+ 1/2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (+ 1/2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (+ 1/2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (* 2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (* 2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) 1/2) (* 2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (* 2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) 1/2) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (* 2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (* 2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ 1 2) (/ 1 2)) (* 2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (* 2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (+ (/ 1 2) (/ 1 2)) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ 1/2 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ 1/2 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ 1/2 1/2) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ 1/2 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ 1/2 (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ 1/2 (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ 1/2 (/ 1 2)) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ 1/2 (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ (/ 1/2 2) (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ 1/2 2) (/ 1/2 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (+ (/ 1/2 2) (/ 1/2 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (+ (/ 1/2 2) (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ 1 2) 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ (/ 1 2) 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (/ 1 2) 1/2) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (/ 1 2) 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ (/ 1 2) (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ (/ 1 2) (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (/ 1 2) (/ 1 2)) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (/ 1 2) (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ 2 (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ 2 (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ 2 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ 2 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ 2 2) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ 2 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ 2 (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ 2 (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ 2 (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ 2 (* 2 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ 2 (* 2 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ 2 (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (+ 1 1) (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (+ 1 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (+ 1 1) 2) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (+ 1 1) 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (+ 1 1) (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (+ 1 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (+ 1 1) (* 2 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (+ 1 1) (* 2 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (+ 1 1) (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ (* 2 1/2) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (+ 1/2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 1/2) (+ 1/2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 1/2) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (+ 1/2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 1/2) (+ 1/2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 1/2) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (+ (/ 1 2) 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 1/2) (+ (/ 1 2) 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 1/2) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (+ (/ 1 2) (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 1/2) (+ (/ 1 2) (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 1/2) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (* 2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 1/2) (* 2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 1/2) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1/2) (* 2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 1/2) (* 2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 1/2) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (* 2 1) (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (* 2 1) (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (* 2 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (* 2 1) 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (* 2 1) 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (* 2 1) 2) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (* 2 1) 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (* 2 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (* 2 1) (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (* 2 1) (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (* 2 1) (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (* 2 1) (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (* 2 1) (* 2 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (* 2 1) (* 2 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (* 2 1) (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (* 2 (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (* 2 (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ 1 2)) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (+ 1/2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 (/ 1 2)) (+ 1/2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 (/ 1 2)) (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (+ 1/2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 (/ 1 2)) (+ 1/2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 (/ 1 2)) (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (+ (/ 1 2) 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 (/ 1 2)) (+ (/ 1 2) 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 (/ 1 2)) (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (* 2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 (/ 1 2)) (* 2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 (/ 1 2)) (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ 1 2)) (* 2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (+ (* 2 (/ 1 2)) (* 2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (+ (* 2 (/ 1 2)) (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (+ 1/2 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ 1/2 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ 1/2 1/2) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ 1/2 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ 1/2 (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ 1/2 (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ 1/2 (/ 1 2)) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ 1/2 (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ (/ 1/2 2) (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ 1/2 2) (/ 1/2 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (+ (/ 1/2 2) (/ 1/2 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (+ (/ 1/2 2) (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (+ (/ 1/2 2) (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ 1 2) 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ (/ 1 2) 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (/ 1 2) 1/2) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (/ 1 2) 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ (/ 1 2) (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ (/ 1 2) (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (+ (/ 1 2) (/ 1 2)) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (+ (/ 1 2) (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (+ (/ (/ 1 2) 2) (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ 1/2 1) (/ (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log base)) (/ 1/2 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (log base))) (/ 1/2 1) (/ (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log base)) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (log base))) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (log base))) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ (/ 1/2 2) 1) (/ (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (log base)) (/ (/ 1/2 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (cbrt (log base))) (/ (/ 1/2 2) (sqrt (log base))) (/ (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (sqrt (log base))) (/ (/ 1/2 2) 1) (/ (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (log base)) (/ (/ 1 2) 1) (/ (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log base)) (/ (/ 1 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (log base))) (/ (/ 1 2) (sqrt (log base))) (/ (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (log base))) (/ (/ 1 2) 1) (/ (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log base)) (/ (/ (/ 1 2) 2) 1) (/ (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (log base)) (/ (/ (/ 1 2) 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (cbrt (log base))) (/ (/ (/ 1 2) 2) (sqrt (log base))) (/ (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (sqrt (log base))) (/ (/ (/ 1 2) 2) 1) (/ (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (log base)) (/ 2 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ 2 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ 2 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (log base))) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (log base))) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ (* 2 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 1/2) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (* 2 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (* 2 (/ 1/2 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (* 2 (/ 1/2 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (* 2 (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (* 2 (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 (/ 1 2)) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (* 2 (/ (/ 1 2) 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (* 2 (/ (/ 1 2) 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (* 2 (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ 2 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ 2 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ 2 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (+ 1 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (+ 1 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (+ 1 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (log base))) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ (* 2 (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (+ 1/2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (* 2 (+ 1/2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (* 2 (+ 1/2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (+ 1/2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (* 2 (+ 1/2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (* 2 (+ 1/2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (+ (/ 1/2 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (* 2 (+ (/ 1/2 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (* 2 (+ (/ 1/2 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (* 2 (+ (/ 1/2 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (* 2 (+ (/ 1/2 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (+ (/ 1 2) 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (* 2 (+ (/ 1 2) 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (* 2 (+ (/ 1 2) 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (+ (/ 1 2) (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (* 2 (+ (/ 1 2) (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (* 2 (+ (/ 1 2) (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (* 2 (+ (/ (/ 1 2) 2) (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (* 2 (+ (/ (/ 1 2) 2) (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (* 2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (* 2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 1/2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 1/2) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 1/2) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (* 2 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (* 2 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (* 2 (/ 1/2 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (* 2 (/ 1/2 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (* 2 (/ 1/2 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (* 2 (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 (/ 1 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 (/ 1 2)) (sqrt (log base))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 (/ 1 2)) 1) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log base)) (/ (* 2 (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (* 2 (/ (/ 1 2) 2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ (* 2 (/ (/ 1 2) 2)) (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) (/ (* 2 (/ (/ 1 2) 2)) 1) (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (* 2 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 2) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 2) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 2) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (+ 1 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 (+ 1 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 (+ 1 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (* 2 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 1) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (log base))) (/ (* 2 1) (sqrt (log base))) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (log base))) (/ (* 2 1) 1) (/ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log base)) (/ (* 2 (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (* 2 1/2)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (* 2 (* 2 1/2)) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (* 2 (* 2 1/2)) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (* 2 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ (* 2 (* 2 1)) (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) (/ (* 2 (* 2 1)) 1) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (* 2 (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (* 2 (/ 1/2 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (* 2 (* 2 (/ 1/2 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (* 2 (* 2 (/ 1/2 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (* 2 (/ 1 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ (* 2 (* 2 (/ 1 2))) (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) (/ (* 2 (* 2 (/ 1 2))) 1) (/ (log (sqrt (hypot re im))) (log base)) (/ (* 2 (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* 2 (* 2 (/ (/ 1 2) 2))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ (* 2 (* 2 (/ (/ 1 2) 2))) (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (/ (* 2 (* 2 (/ (/ 1 2) 2))) 1) (/ (log (hypot re im)) (log base)) (/ (* (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) 1) (/ (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log base)) (/ (* (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) (* (cbrt (log base)) (cbrt (log base)))) (/ (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (cbrt (log base))) (/ (* (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) (sqrt (log base))) (/ (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (sqrt (log base))) (/ (* (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) 1) (/ (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log base)) (/ (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) 1) (/ (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log base)) (/ (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (* (cbrt (log base)) (cbrt (log base)))) (/ (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (cbrt (log base))) (/ (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (sqrt (log base))) (/ (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (sqrt (log base))) (/ (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) 1) (/ (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log base)) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (log base))) (/ 1 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base)) (/ 1 (log base)) (/ (log base) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 1) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (log base))) (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 1) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (/ (log base) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (log base) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (log base) (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))))) (/ (log base) (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (/ (log base) (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (log base) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) (/ (log base) (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) (/ (log base) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (real->posit16 (/ (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log base))) (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) im re (* -1 re) (/ (log im) (log base)) (/ (log (/ 1 re)) (log (/ 1 base))) (* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))) 15.222 * * [simplify]: iteration 0: 729 enodes 16.106 * * [simplify]: iteration 1: 1901 enodes 16.599 * * [simplify]: iteration complete: 5000 enodes 16.601 * * [simplify]: Extracting #0: cost 123 inf + 0 16.606 * * [simplify]: Extracting #1: cost 1243 inf + 563 16.614 * * [simplify]: Extracting #2: cost 1327 inf + 10839 16.633 * * [simplify]: Extracting #3: cost 1143 inf + 65791 16.653 * * [simplify]: Extracting #4: cost 1004 inf + 98680 16.684 * * [simplify]: Extracting #5: cost 545 inf + 208595 16.735 * * [simplify]: Extracting #6: cost 18 inf + 332812 16.784 * * [simplify]: Extracting #7: cost 0 inf + 337006 16.848 * [simplify]: Simplified to: (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (hypot re im) (sqrt (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (hypot re im) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (hypot re im) (sqrt (hypot re im))) (hypot re im) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 2 1/2 1 1/2 (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (fabs (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (real->posit16 (sqrt (hypot re im))) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (hypot re im) (sqrt (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (hypot re im) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (hypot re im) (sqrt (hypot re im))) (hypot re im) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 2 1/2 1 1/2 (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (fabs (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (real->posit16 (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) 2 2 2 2 2 2 2 2 2 2 2 2 4 4 4 4 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1/2 1/2 1 1 1/2 1/2 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 4 4 4 4 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 (hypot re im) (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (hypot re im) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (hypot re im) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))) (* (hypot re im) (hypot re im)) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (hypot re im) (hypot re im) (hypot re im) (sqrt (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 2 (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) 1 (hypot re im) (* (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 1 (hypot re im) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 1 (hypot re im) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 1 (hypot re im) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 2 2 4 4 1 1 2 2 1 1 1 2 2 1/2 1 1/2 4 4 4 2 2 2 4 1 2 1 (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (fabs (cbrt (sqrt (hypot re im))))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im))) (* (fabs (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (* (sqrt (hypot re im)) (sqrt (sqrt (cbrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (hypot re im) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (hypot re im) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (real->posit16 (hypot re im)) (expm1 (/ (log (hypot re im)) (log base))) (log1p (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (exp (/ (log (hypot re im)) (log base))) (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))) (* (cbrt (/ (log (hypot re im)) (log base))) (cbrt (/ (log (hypot re im)) (log base)))) (cbrt (/ (log (hypot re im)) (log base))) (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))) (sqrt (/ (log (hypot re im)) (log base))) (sqrt (/ (log (hypot re im)) (log base))) (- (log (hypot re im))) (- (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1/4 (/ (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im)))) (log base)) (/ (/ 1/4 (cbrt (log base))) (cbrt (log base))) (/ (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im)))) (cbrt (log base))) (/ 1/4 (sqrt (log base))) (/ (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im)))) (sqrt (log base))) 1/4 (/ (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im)))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1/4 (/ (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im)))) (log base)) (/ (/ 1/4 (cbrt (log base))) (cbrt (log base))) (/ (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im)))) (cbrt (log base))) (/ 1/4 (sqrt (log base))) (/ (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im)))) (sqrt (log base))) 1/4 (/ (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im)))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) (/ (/ 1/2 (cbrt (log base))) (cbrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (cbrt (log base))) (/ 1/2 (sqrt (log base))) (/ (log (* (hypot re im) (hypot re im))) (sqrt (log base))) 1/2 (/ (log (* (hypot re im) (hypot re im))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (* (/ 2 (cbrt (log base))) (/ 2 (cbrt (log base)))) (/ (log (sqrt (sqrt (hypot re im)))) (cbrt (log base))) (/ 4 (sqrt (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (sqrt (log base))) 4 (/ (log (sqrt (sqrt (hypot re im)))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) 2 (/ (log (sqrt (hypot re im))) (log base)) (/ (/ 2 (cbrt (log base))) (cbrt (log base))) (/ (log (sqrt (hypot re im))) (cbrt (log base))) (/ 2 (sqrt (log base))) (/ (log (sqrt (hypot re im))) (sqrt (log base))) 2 (/ (log (sqrt (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (cbrt (log (hypot re im))) (log base)) (* (/ (cbrt (log (hypot re im))) (cbrt (log base))) (/ (cbrt (log (hypot re im))) (cbrt (log base)))) (/ (cbrt (log (hypot re im))) (cbrt (log base))) (* (/ (cbrt (log (hypot re im))) (sqrt (log base))) (cbrt (log (hypot re im)))) (/ (cbrt (log (hypot re im))) (sqrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (/ (cbrt (log (hypot re im))) (log base)) (sqrt (log (hypot re im))) (/ (sqrt (log (hypot re im))) (log base)) (/ (/ (sqrt (log (hypot re im))) (cbrt (log base))) (cbrt (log base))) (/ (sqrt (log (hypot re im))) (cbrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (sqrt (log (hypot re im))) (/ (sqrt (log (hypot re im))) (log base)) 1 (/ (log (hypot re im)) (log base)) (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (cbrt (log base))) (/ 1 (sqrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) 1 (/ (log (hypot re im)) (log base)) (/ 1 (log base)) (/ (log base) (log (hypot re im))) (log (hypot re im)) (/ (/ (log (hypot re im)) (cbrt (log base))) (cbrt (log base))) (/ (log (hypot re im)) (sqrt (log base))) (log (hypot re im)) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im))))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (+ (log (* (hypot re im) (hypot re im))) (log (* (hypot re im) (hypot re im))))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (log (* (hypot re im) (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (sqrt (sqrt (hypot re im))))) (/ (log base) (log (hypot re im))) (/ (log base) (log (sqrt (hypot re im)))) (/ (log base) (log (hypot re im))) (/ (log base) (cbrt (log (hypot re im)))) (/ (log base) (sqrt (log (hypot re im)))) (/ (log base) (log (hypot re im))) (real->posit16 (/ (log (hypot re im)) (log base))) (+ (- (* +nan.0 (* im im))) (- (* +nan.0 (* re re)) (* +nan.0 im))) (- (- (/ +nan.0 re) (- (/ +nan.0 (* re re)) +nan.0))) (- (- (/ +nan.0 re) (- (/ +nan.0 (* re re)) +nan.0))) (+ (- (* +nan.0 (* im im))) (- (* +nan.0 (* re re)) (* +nan.0 im))) (- (- (/ +nan.0 re) (- (/ +nan.0 (* re re)) +nan.0))) (- (- (/ +nan.0 re) (- (/ +nan.0 (* re re)) +nan.0))) im re (- re) (/ (log im) (log base)) (- (/ (log re) (- (log base)))) (- (/ (log (/ -1 re)) (+ (- (log -1) (log -1)) (log base)))) 17.229 * * * [progress]: adding candidates to table 19.261 * * [progress]: iteration 4 / 4 19.261 * * * [progress]: picking best candidate 19.307 * * * * [pick]: Picked # 19.307 * * * [progress]: localizing error 19.366 * * * [progress]: generating rewritten candidates 19.366 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 19.399 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 19.423 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 19.736 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 20.433 * * * [progress]: generating series expansions 20.433 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 20.433 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) into (sqrt (hypot re im)) 20.433 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 20.433 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 20.433 * [taylor]: Taking taylor expansion of (hypot re im) in im 20.433 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.433 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 20.433 * [taylor]: Taking taylor expansion of (* re re) in im 20.433 * [taylor]: Taking taylor expansion of re in im 20.433 * [backup-simplify]: Simplify re into re 20.433 * [taylor]: Taking taylor expansion of re in im 20.433 * [backup-simplify]: Simplify re into re 20.433 * [taylor]: Taking taylor expansion of (* im im) in im 20.433 * [taylor]: Taking taylor expansion of im in im 20.434 * [backup-simplify]: Simplify 0 into 0 20.434 * [backup-simplify]: Simplify 1 into 1 20.434 * [taylor]: Taking taylor expansion of im in im 20.434 * [backup-simplify]: Simplify 0 into 0 20.434 * [backup-simplify]: Simplify 1 into 1 20.434 * [backup-simplify]: Simplify (* re re) into (pow re 2) 20.434 * [backup-simplify]: Simplify (* 0 0) into 0 20.434 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 20.434 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 20.434 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 20.435 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.435 * [backup-simplify]: Simplify (+ 0 0) into 0 20.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 20.435 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 20.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 20.435 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 20.435 * [taylor]: Taking taylor expansion of (hypot re im) in re 20.435 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.435 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 20.435 * [taylor]: Taking taylor expansion of (* re re) in re 20.435 * [taylor]: Taking taylor expansion of re in re 20.435 * [backup-simplify]: Simplify 0 into 0 20.435 * [backup-simplify]: Simplify 1 into 1 20.435 * [taylor]: Taking taylor expansion of re in re 20.435 * [backup-simplify]: Simplify 0 into 0 20.435 * [backup-simplify]: Simplify 1 into 1 20.435 * [taylor]: Taking taylor expansion of (* im im) in re 20.435 * [taylor]: Taking taylor expansion of im in re 20.435 * [backup-simplify]: Simplify im into im 20.435 * [taylor]: Taking taylor expansion of im in re 20.435 * [backup-simplify]: Simplify im into im 20.436 * [backup-simplify]: Simplify (* 0 0) into 0 20.436 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.436 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 20.436 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 20.436 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.436 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.437 * [backup-simplify]: Simplify (+ 0 0) into 0 20.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 20.437 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 20.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 20.437 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 20.437 * [taylor]: Taking taylor expansion of (hypot re im) in re 20.437 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.437 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 20.437 * [taylor]: Taking taylor expansion of (* re re) in re 20.437 * [taylor]: Taking taylor expansion of re in re 20.437 * [backup-simplify]: Simplify 0 into 0 20.437 * [backup-simplify]: Simplify 1 into 1 20.437 * [taylor]: Taking taylor expansion of re in re 20.437 * [backup-simplify]: Simplify 0 into 0 20.437 * [backup-simplify]: Simplify 1 into 1 20.437 * [taylor]: Taking taylor expansion of (* im im) in re 20.437 * [taylor]: Taking taylor expansion of im in re 20.437 * [backup-simplify]: Simplify im into im 20.437 * [taylor]: Taking taylor expansion of im in re 20.437 * [backup-simplify]: Simplify im into im 20.437 * [backup-simplify]: Simplify (* 0 0) into 0 20.437 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.437 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 20.438 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 20.438 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.438 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.438 * [backup-simplify]: Simplify (+ 0 0) into 0 20.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 20.438 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 20.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 20.438 * [taylor]: Taking taylor expansion of (sqrt im) in im 20.438 * [taylor]: Taking taylor expansion of im in im 20.438 * [backup-simplify]: Simplify 0 into 0 20.439 * [backup-simplify]: Simplify 1 into 1 20.439 * [backup-simplify]: Simplify (sqrt 0) into 0 20.440 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.440 * [backup-simplify]: Simplify 0 into 0 20.440 * [taylor]: Taking taylor expansion of 0 in im 20.440 * [backup-simplify]: Simplify 0 into 0 20.440 * [backup-simplify]: Simplify 0 into 0 20.440 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.441 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 20.442 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 20.442 * [backup-simplify]: Simplify (+ 1 0) into 1 20.443 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 20.443 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 20.443 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 20.443 * [taylor]: Taking taylor expansion of 1/4 in im 20.443 * [backup-simplify]: Simplify 1/4 into 1/4 20.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 20.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 20.444 * [taylor]: Taking taylor expansion of (pow im 3) in im 20.444 * [taylor]: Taking taylor expansion of im in im 20.444 * [backup-simplify]: Simplify 0 into 0 20.444 * [backup-simplify]: Simplify 1 into 1 20.444 * [backup-simplify]: Simplify (* 1 1) into 1 20.444 * [backup-simplify]: Simplify (* 1 1) into 1 20.445 * [backup-simplify]: Simplify (/ 1 1) into 1 20.445 * [backup-simplify]: Simplify (sqrt 0) into 0 20.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.450 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.452 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 20.453 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.453 * [backup-simplify]: Simplify 0 into 0 20.455 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.455 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.456 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 20.456 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 20.456 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 20.456 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 20.456 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 20.456 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.456 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 20.456 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 20.456 * [taylor]: Taking taylor expansion of (/ 1 re) in im 20.456 * [taylor]: Taking taylor expansion of re in im 20.456 * [backup-simplify]: Simplify re into re 20.456 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.457 * [taylor]: Taking taylor expansion of (/ 1 re) in im 20.457 * [taylor]: Taking taylor expansion of re in im 20.457 * [backup-simplify]: Simplify re into re 20.457 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.457 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 20.457 * [taylor]: Taking taylor expansion of (/ 1 im) in im 20.457 * [taylor]: Taking taylor expansion of im in im 20.457 * [backup-simplify]: Simplify 0 into 0 20.457 * [backup-simplify]: Simplify 1 into 1 20.457 * [backup-simplify]: Simplify (/ 1 1) into 1 20.457 * [taylor]: Taking taylor expansion of (/ 1 im) in im 20.457 * [taylor]: Taking taylor expansion of im in im 20.457 * [backup-simplify]: Simplify 0 into 0 20.457 * [backup-simplify]: Simplify 1 into 1 20.457 * [backup-simplify]: Simplify (/ 1 1) into 1 20.458 * [backup-simplify]: Simplify (* 1 1) into 1 20.458 * [backup-simplify]: Simplify (+ 0 1) into 1 20.458 * [backup-simplify]: Simplify (sqrt 1) into 1 20.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.461 * [backup-simplify]: Simplify (+ 0 0) into 0 20.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.462 * [backup-simplify]: Simplify (sqrt 0) into 0 20.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.463 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 20.463 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 20.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.463 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 20.463 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 20.463 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.463 * [taylor]: Taking taylor expansion of re in re 20.463 * [backup-simplify]: Simplify 0 into 0 20.463 * [backup-simplify]: Simplify 1 into 1 20.464 * [backup-simplify]: Simplify (/ 1 1) into 1 20.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.464 * [taylor]: Taking taylor expansion of re in re 20.464 * [backup-simplify]: Simplify 0 into 0 20.464 * [backup-simplify]: Simplify 1 into 1 20.464 * [backup-simplify]: Simplify (/ 1 1) into 1 20.464 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 20.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.464 * [taylor]: Taking taylor expansion of im in re 20.464 * [backup-simplify]: Simplify im into im 20.464 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.464 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.464 * [taylor]: Taking taylor expansion of im in re 20.464 * [backup-simplify]: Simplify im into im 20.464 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.465 * [backup-simplify]: Simplify (* 1 1) into 1 20.465 * [backup-simplify]: Simplify (+ 1 0) into 1 20.465 * [backup-simplify]: Simplify (sqrt 1) into 1 20.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.467 * [backup-simplify]: Simplify (+ 0 0) into 0 20.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.468 * [backup-simplify]: Simplify (sqrt 0) into 0 20.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.470 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 20.470 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 20.470 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.470 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 20.470 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 20.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.470 * [taylor]: Taking taylor expansion of re in re 20.470 * [backup-simplify]: Simplify 0 into 0 20.470 * [backup-simplify]: Simplify 1 into 1 20.470 * [backup-simplify]: Simplify (/ 1 1) into 1 20.470 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.470 * [taylor]: Taking taylor expansion of re in re 20.470 * [backup-simplify]: Simplify 0 into 0 20.470 * [backup-simplify]: Simplify 1 into 1 20.471 * [backup-simplify]: Simplify (/ 1 1) into 1 20.471 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 20.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.471 * [taylor]: Taking taylor expansion of im in re 20.471 * [backup-simplify]: Simplify im into im 20.471 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.471 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.471 * [taylor]: Taking taylor expansion of im in re 20.471 * [backup-simplify]: Simplify im into im 20.471 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.471 * [backup-simplify]: Simplify (* 1 1) into 1 20.472 * [backup-simplify]: Simplify (+ 1 0) into 1 20.472 * [backup-simplify]: Simplify (sqrt 1) into 1 20.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.474 * [backup-simplify]: Simplify (+ 0 0) into 0 20.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.475 * [backup-simplify]: Simplify (sqrt 0) into 0 20.476 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.476 * [taylor]: Taking taylor expansion of 0 in im 20.476 * [backup-simplify]: Simplify 0 into 0 20.476 * [taylor]: Taking taylor expansion of +nan.0 in im 20.476 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.476 * [backup-simplify]: Simplify 0 into 0 20.479 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.479 * [taylor]: Taking taylor expansion of +nan.0 in im 20.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.479 * [backup-simplify]: Simplify 0 into 0 20.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.481 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 20.482 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 20.483 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 20.484 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 20.485 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 20.485 * [taylor]: Taking taylor expansion of +nan.0 in im 20.485 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.485 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 20.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 20.485 * [taylor]: Taking taylor expansion of 1/2 in im 20.485 * [backup-simplify]: Simplify 1/2 into 1/2 20.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 20.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.485 * [taylor]: Taking taylor expansion of im in im 20.485 * [backup-simplify]: Simplify 0 into 0 20.485 * [backup-simplify]: Simplify 1 into 1 20.485 * [backup-simplify]: Simplify (* 1 1) into 1 20.485 * [backup-simplify]: Simplify (/ 1 1) into 1 20.486 * [taylor]: Taking taylor expansion of +nan.0 in im 20.486 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.488 * [backup-simplify]: Simplify (+ 0 0) into 0 20.488 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.489 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.489 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 20.489 * [backup-simplify]: Simplify 0 into 0 20.489 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.489 * [backup-simplify]: Simplify 0 into 0 20.489 * [backup-simplify]: Simplify 0 into 0 20.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 20.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 20.492 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 20.493 * [backup-simplify]: Simplify (+ 0 0) into 0 20.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 20.494 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 20.494 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 20.495 * [taylor]: Taking taylor expansion of +nan.0 in im 20.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.495 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 20.495 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 20.495 * [taylor]: Taking taylor expansion of +nan.0 in im 20.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.495 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 20.495 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.495 * [taylor]: Taking taylor expansion of im in im 20.495 * [backup-simplify]: Simplify 0 into 0 20.495 * [backup-simplify]: Simplify 1 into 1 20.495 * [backup-simplify]: Simplify (* 1 1) into 1 20.495 * [backup-simplify]: Simplify (/ 1 1) into 1 20.496 * [taylor]: Taking taylor expansion of (- +nan.0) in im 20.496 * [taylor]: Taking taylor expansion of +nan.0 in im 20.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.498 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 20.498 * [backup-simplify]: Simplify (+ 0 0) into 0 20.498 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 20.499 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 20.500 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 20.500 * [backup-simplify]: Simplify 0 into 0 20.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 20.502 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.503 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 20.505 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 20.506 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.506 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 20.507 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 20.507 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 20.507 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 20.507 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 20.507 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.507 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 20.507 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 20.507 * [taylor]: Taking taylor expansion of (/ -1 re) in im 20.507 * [taylor]: Taking taylor expansion of -1 in im 20.507 * [backup-simplify]: Simplify -1 into -1 20.507 * [taylor]: Taking taylor expansion of re in im 20.507 * [backup-simplify]: Simplify re into re 20.507 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.507 * [taylor]: Taking taylor expansion of (/ -1 re) in im 20.507 * [taylor]: Taking taylor expansion of -1 in im 20.507 * [backup-simplify]: Simplify -1 into -1 20.507 * [taylor]: Taking taylor expansion of re in im 20.507 * [backup-simplify]: Simplify re into re 20.507 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.507 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 20.507 * [taylor]: Taking taylor expansion of (/ -1 im) in im 20.507 * [taylor]: Taking taylor expansion of -1 in im 20.507 * [backup-simplify]: Simplify -1 into -1 20.507 * [taylor]: Taking taylor expansion of im in im 20.507 * [backup-simplify]: Simplify 0 into 0 20.507 * [backup-simplify]: Simplify 1 into 1 20.508 * [backup-simplify]: Simplify (/ -1 1) into -1 20.508 * [taylor]: Taking taylor expansion of (/ -1 im) in im 20.508 * [taylor]: Taking taylor expansion of -1 in im 20.508 * [backup-simplify]: Simplify -1 into -1 20.508 * [taylor]: Taking taylor expansion of im in im 20.508 * [backup-simplify]: Simplify 0 into 0 20.508 * [backup-simplify]: Simplify 1 into 1 20.508 * [backup-simplify]: Simplify (/ -1 1) into -1 20.508 * [backup-simplify]: Simplify (* -1 -1) into 1 20.509 * [backup-simplify]: Simplify (+ 0 1) into 1 20.509 * [backup-simplify]: Simplify (sqrt 1) into 1 20.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.511 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.512 * [backup-simplify]: Simplify (+ 0 0) into 0 20.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.513 * [backup-simplify]: Simplify (sqrt 0) into 0 20.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.514 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 20.514 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 20.514 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.514 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 20.514 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 20.514 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.514 * [taylor]: Taking taylor expansion of -1 in re 20.514 * [backup-simplify]: Simplify -1 into -1 20.514 * [taylor]: Taking taylor expansion of re in re 20.514 * [backup-simplify]: Simplify 0 into 0 20.514 * [backup-simplify]: Simplify 1 into 1 20.515 * [backup-simplify]: Simplify (/ -1 1) into -1 20.515 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.515 * [taylor]: Taking taylor expansion of -1 in re 20.515 * [backup-simplify]: Simplify -1 into -1 20.515 * [taylor]: Taking taylor expansion of re in re 20.515 * [backup-simplify]: Simplify 0 into 0 20.515 * [backup-simplify]: Simplify 1 into 1 20.515 * [backup-simplify]: Simplify (/ -1 1) into -1 20.515 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 20.515 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.515 * [taylor]: Taking taylor expansion of -1 in re 20.515 * [backup-simplify]: Simplify -1 into -1 20.515 * [taylor]: Taking taylor expansion of im in re 20.515 * [backup-simplify]: Simplify im into im 20.515 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.515 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.515 * [taylor]: Taking taylor expansion of -1 in re 20.515 * [backup-simplify]: Simplify -1 into -1 20.516 * [taylor]: Taking taylor expansion of im in re 20.516 * [backup-simplify]: Simplify im into im 20.516 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.516 * [backup-simplify]: Simplify (* -1 -1) into 1 20.516 * [backup-simplify]: Simplify (+ 1 0) into 1 20.517 * [backup-simplify]: Simplify (sqrt 1) into 1 20.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.519 * [backup-simplify]: Simplify (+ 0 0) into 0 20.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.520 * [backup-simplify]: Simplify (sqrt 0) into 0 20.521 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.521 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 20.521 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 20.521 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.521 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 20.521 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 20.521 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.521 * [taylor]: Taking taylor expansion of -1 in re 20.522 * [backup-simplify]: Simplify -1 into -1 20.522 * [taylor]: Taking taylor expansion of re in re 20.522 * [backup-simplify]: Simplify 0 into 0 20.522 * [backup-simplify]: Simplify 1 into 1 20.522 * [backup-simplify]: Simplify (/ -1 1) into -1 20.522 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.522 * [taylor]: Taking taylor expansion of -1 in re 20.522 * [backup-simplify]: Simplify -1 into -1 20.522 * [taylor]: Taking taylor expansion of re in re 20.522 * [backup-simplify]: Simplify 0 into 0 20.522 * [backup-simplify]: Simplify 1 into 1 20.523 * [backup-simplify]: Simplify (/ -1 1) into -1 20.523 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 20.523 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.523 * [taylor]: Taking taylor expansion of -1 in re 20.523 * [backup-simplify]: Simplify -1 into -1 20.523 * [taylor]: Taking taylor expansion of im in re 20.523 * [backup-simplify]: Simplify im into im 20.523 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.523 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.523 * [taylor]: Taking taylor expansion of -1 in re 20.523 * [backup-simplify]: Simplify -1 into -1 20.523 * [taylor]: Taking taylor expansion of im in re 20.523 * [backup-simplify]: Simplify im into im 20.523 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.523 * [backup-simplify]: Simplify (* -1 -1) into 1 20.524 * [backup-simplify]: Simplify (+ 1 0) into 1 20.524 * [backup-simplify]: Simplify (sqrt 1) into 1 20.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.526 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.526 * [backup-simplify]: Simplify (+ 0 0) into 0 20.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.527 * [backup-simplify]: Simplify (sqrt 0) into 0 20.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.528 * [taylor]: Taking taylor expansion of 0 in im 20.529 * [backup-simplify]: Simplify 0 into 0 20.529 * [taylor]: Taking taylor expansion of +nan.0 in im 20.529 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.529 * [backup-simplify]: Simplify 0 into 0 20.531 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.531 * [taylor]: Taking taylor expansion of +nan.0 in im 20.531 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.531 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.531 * [backup-simplify]: Simplify 0 into 0 20.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.534 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 20.534 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 20.534 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 20.535 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 20.537 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 20.537 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 20.537 * [taylor]: Taking taylor expansion of +nan.0 in im 20.537 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.537 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 20.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 20.537 * [taylor]: Taking taylor expansion of 1/2 in im 20.537 * [backup-simplify]: Simplify 1/2 into 1/2 20.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 20.537 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.537 * [taylor]: Taking taylor expansion of im in im 20.537 * [backup-simplify]: Simplify 0 into 0 20.537 * [backup-simplify]: Simplify 1 into 1 20.538 * [backup-simplify]: Simplify (* 1 1) into 1 20.538 * [backup-simplify]: Simplify (/ 1 1) into 1 20.538 * [taylor]: Taking taylor expansion of +nan.0 in im 20.538 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.546 * [backup-simplify]: Simplify (+ 0 0) into 0 20.546 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.546 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.547 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 20.547 * [backup-simplify]: Simplify 0 into 0 20.547 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.547 * [backup-simplify]: Simplify 0 into 0 20.547 * [backup-simplify]: Simplify 0 into 0 20.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.550 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 20.550 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 20.550 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 20.550 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 20.551 * [backup-simplify]: Simplify (+ 0 0) into 0 20.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 20.552 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 20.552 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 20.552 * [taylor]: Taking taylor expansion of +nan.0 in im 20.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.553 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 20.553 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 20.553 * [taylor]: Taking taylor expansion of +nan.0 in im 20.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.553 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 20.553 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.553 * [taylor]: Taking taylor expansion of im in im 20.553 * [backup-simplify]: Simplify 0 into 0 20.553 * [backup-simplify]: Simplify 1 into 1 20.553 * [backup-simplify]: Simplify (* 1 1) into 1 20.553 * [backup-simplify]: Simplify (/ 1 1) into 1 20.553 * [taylor]: Taking taylor expansion of (- +nan.0) in im 20.553 * [taylor]: Taking taylor expansion of +nan.0 in im 20.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.555 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 20.556 * [backup-simplify]: Simplify (+ 0 0) into 0 20.556 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 20.557 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 20.557 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 20.557 * [backup-simplify]: Simplify 0 into 0 20.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 20.560 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.561 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 20.563 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 20.563 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.564 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 20.564 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 20.564 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) into (sqrt (hypot re im)) 20.564 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 20.564 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 20.564 * [taylor]: Taking taylor expansion of (hypot re im) in im 20.565 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.565 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 20.565 * [taylor]: Taking taylor expansion of (* re re) in im 20.565 * [taylor]: Taking taylor expansion of re in im 20.565 * [backup-simplify]: Simplify re into re 20.565 * [taylor]: Taking taylor expansion of re in im 20.565 * [backup-simplify]: Simplify re into re 20.565 * [taylor]: Taking taylor expansion of (* im im) in im 20.565 * [taylor]: Taking taylor expansion of im in im 20.565 * [backup-simplify]: Simplify 0 into 0 20.565 * [backup-simplify]: Simplify 1 into 1 20.565 * [taylor]: Taking taylor expansion of im in im 20.565 * [backup-simplify]: Simplify 0 into 0 20.565 * [backup-simplify]: Simplify 1 into 1 20.565 * [backup-simplify]: Simplify (* re re) into (pow re 2) 20.565 * [backup-simplify]: Simplify (* 0 0) into 0 20.565 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 20.566 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 20.566 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 20.566 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.566 * [backup-simplify]: Simplify (+ 0 0) into 0 20.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 20.567 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 20.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 20.567 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 20.567 * [taylor]: Taking taylor expansion of (hypot re im) in re 20.567 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.567 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 20.567 * [taylor]: Taking taylor expansion of (* re re) in re 20.567 * [taylor]: Taking taylor expansion of re in re 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [backup-simplify]: Simplify 1 into 1 20.567 * [taylor]: Taking taylor expansion of re in re 20.567 * [backup-simplify]: Simplify 0 into 0 20.567 * [backup-simplify]: Simplify 1 into 1 20.567 * [taylor]: Taking taylor expansion of (* im im) in re 20.567 * [taylor]: Taking taylor expansion of im in re 20.567 * [backup-simplify]: Simplify im into im 20.567 * [taylor]: Taking taylor expansion of im in re 20.567 * [backup-simplify]: Simplify im into im 20.568 * [backup-simplify]: Simplify (* 0 0) into 0 20.568 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.568 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 20.568 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 20.568 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.568 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.569 * [backup-simplify]: Simplify (+ 0 0) into 0 20.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 20.569 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 20.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 20.569 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 20.569 * [taylor]: Taking taylor expansion of (hypot re im) in re 20.569 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.569 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 20.569 * [taylor]: Taking taylor expansion of (* re re) in re 20.569 * [taylor]: Taking taylor expansion of re in re 20.569 * [backup-simplify]: Simplify 0 into 0 20.569 * [backup-simplify]: Simplify 1 into 1 20.569 * [taylor]: Taking taylor expansion of re in re 20.569 * [backup-simplify]: Simplify 0 into 0 20.569 * [backup-simplify]: Simplify 1 into 1 20.569 * [taylor]: Taking taylor expansion of (* im im) in re 20.569 * [taylor]: Taking taylor expansion of im in re 20.569 * [backup-simplify]: Simplify im into im 20.569 * [taylor]: Taking taylor expansion of im in re 20.570 * [backup-simplify]: Simplify im into im 20.570 * [backup-simplify]: Simplify (* 0 0) into 0 20.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.570 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 20.570 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 20.571 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.571 * [backup-simplify]: Simplify (+ 0 0) into 0 20.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 20.571 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 20.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 20.571 * [taylor]: Taking taylor expansion of (sqrt im) in im 20.572 * [taylor]: Taking taylor expansion of im in im 20.572 * [backup-simplify]: Simplify 0 into 0 20.572 * [backup-simplify]: Simplify 1 into 1 20.572 * [backup-simplify]: Simplify (sqrt 0) into 0 20.573 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.573 * [backup-simplify]: Simplify 0 into 0 20.573 * [taylor]: Taking taylor expansion of 0 in im 20.573 * [backup-simplify]: Simplify 0 into 0 20.573 * [backup-simplify]: Simplify 0 into 0 20.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 20.574 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 20.575 * [backup-simplify]: Simplify (+ 1 0) into 1 20.576 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 20.576 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 20.576 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 20.576 * [taylor]: Taking taylor expansion of 1/4 in im 20.576 * [backup-simplify]: Simplify 1/4 into 1/4 20.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 20.576 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 20.576 * [taylor]: Taking taylor expansion of (pow im 3) in im 20.576 * [taylor]: Taking taylor expansion of im in im 20.576 * [backup-simplify]: Simplify 0 into 0 20.577 * [backup-simplify]: Simplify 1 into 1 20.577 * [backup-simplify]: Simplify (* 1 1) into 1 20.577 * [backup-simplify]: Simplify (* 1 1) into 1 20.578 * [backup-simplify]: Simplify (/ 1 1) into 1 20.578 * [backup-simplify]: Simplify (sqrt 0) into 0 20.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.583 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.585 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 20.586 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.586 * [backup-simplify]: Simplify 0 into 0 20.588 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.589 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 20.589 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 20.589 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 20.589 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 20.589 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 20.589 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.589 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 20.589 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 20.589 * [taylor]: Taking taylor expansion of (/ 1 re) in im 20.589 * [taylor]: Taking taylor expansion of re in im 20.590 * [backup-simplify]: Simplify re into re 20.590 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.590 * [taylor]: Taking taylor expansion of (/ 1 re) in im 20.590 * [taylor]: Taking taylor expansion of re in im 20.590 * [backup-simplify]: Simplify re into re 20.590 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.590 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 20.590 * [taylor]: Taking taylor expansion of (/ 1 im) in im 20.590 * [taylor]: Taking taylor expansion of im in im 20.590 * [backup-simplify]: Simplify 0 into 0 20.590 * [backup-simplify]: Simplify 1 into 1 20.590 * [backup-simplify]: Simplify (/ 1 1) into 1 20.590 * [taylor]: Taking taylor expansion of (/ 1 im) in im 20.590 * [taylor]: Taking taylor expansion of im in im 20.590 * [backup-simplify]: Simplify 0 into 0 20.590 * [backup-simplify]: Simplify 1 into 1 20.591 * [backup-simplify]: Simplify (/ 1 1) into 1 20.591 * [backup-simplify]: Simplify (* 1 1) into 1 20.591 * [backup-simplify]: Simplify (+ 0 1) into 1 20.592 * [backup-simplify]: Simplify (sqrt 1) into 1 20.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.594 * [backup-simplify]: Simplify (+ 0 0) into 0 20.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.595 * [backup-simplify]: Simplify (sqrt 0) into 0 20.596 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.596 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 20.596 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 20.596 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.596 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 20.596 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 20.596 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.596 * [taylor]: Taking taylor expansion of re in re 20.596 * [backup-simplify]: Simplify 0 into 0 20.596 * [backup-simplify]: Simplify 1 into 1 20.597 * [backup-simplify]: Simplify (/ 1 1) into 1 20.597 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.597 * [taylor]: Taking taylor expansion of re in re 20.597 * [backup-simplify]: Simplify 0 into 0 20.597 * [backup-simplify]: Simplify 1 into 1 20.597 * [backup-simplify]: Simplify (/ 1 1) into 1 20.597 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 20.597 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.597 * [taylor]: Taking taylor expansion of im in re 20.597 * [backup-simplify]: Simplify im into im 20.597 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.597 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.597 * [taylor]: Taking taylor expansion of im in re 20.597 * [backup-simplify]: Simplify im into im 20.597 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.598 * [backup-simplify]: Simplify (* 1 1) into 1 20.598 * [backup-simplify]: Simplify (+ 1 0) into 1 20.598 * [backup-simplify]: Simplify (sqrt 1) into 1 20.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.601 * [backup-simplify]: Simplify (+ 0 0) into 0 20.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.602 * [backup-simplify]: Simplify (sqrt 0) into 0 20.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.603 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 20.603 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 20.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.603 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 20.603 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 20.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.603 * [taylor]: Taking taylor expansion of re in re 20.603 * [backup-simplify]: Simplify 0 into 0 20.603 * [backup-simplify]: Simplify 1 into 1 20.604 * [backup-simplify]: Simplify (/ 1 1) into 1 20.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.604 * [taylor]: Taking taylor expansion of re in re 20.604 * [backup-simplify]: Simplify 0 into 0 20.604 * [backup-simplify]: Simplify 1 into 1 20.604 * [backup-simplify]: Simplify (/ 1 1) into 1 20.604 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 20.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.604 * [taylor]: Taking taylor expansion of im in re 20.604 * [backup-simplify]: Simplify im into im 20.604 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.604 * [taylor]: Taking taylor expansion of im in re 20.604 * [backup-simplify]: Simplify im into im 20.605 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.605 * [backup-simplify]: Simplify (* 1 1) into 1 20.605 * [backup-simplify]: Simplify (+ 1 0) into 1 20.606 * [backup-simplify]: Simplify (sqrt 1) into 1 20.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.608 * [backup-simplify]: Simplify (+ 0 0) into 0 20.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.609 * [backup-simplify]: Simplify (sqrt 0) into 0 20.610 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.610 * [taylor]: Taking taylor expansion of 0 in im 20.610 * [backup-simplify]: Simplify 0 into 0 20.610 * [taylor]: Taking taylor expansion of +nan.0 in im 20.610 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.610 * [backup-simplify]: Simplify 0 into 0 20.613 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.613 * [taylor]: Taking taylor expansion of +nan.0 in im 20.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.613 * [backup-simplify]: Simplify 0 into 0 20.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.615 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 20.615 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 20.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 20.618 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 20.618 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 20.618 * [taylor]: Taking taylor expansion of +nan.0 in im 20.618 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.619 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 20.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 20.619 * [taylor]: Taking taylor expansion of 1/2 in im 20.619 * [backup-simplify]: Simplify 1/2 into 1/2 20.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 20.619 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.619 * [taylor]: Taking taylor expansion of im in im 20.619 * [backup-simplify]: Simplify 0 into 0 20.619 * [backup-simplify]: Simplify 1 into 1 20.619 * [backup-simplify]: Simplify (* 1 1) into 1 20.619 * [backup-simplify]: Simplify (/ 1 1) into 1 20.619 * [taylor]: Taking taylor expansion of +nan.0 in im 20.619 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.622 * [backup-simplify]: Simplify (+ 0 0) into 0 20.622 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.623 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.623 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 20.623 * [backup-simplify]: Simplify 0 into 0 20.623 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.623 * [backup-simplify]: Simplify 0 into 0 20.623 * [backup-simplify]: Simplify 0 into 0 20.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 20.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 20.626 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 20.627 * [backup-simplify]: Simplify (+ 0 0) into 0 20.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 20.628 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 20.628 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 20.628 * [taylor]: Taking taylor expansion of +nan.0 in im 20.628 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.628 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 20.628 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 20.628 * [taylor]: Taking taylor expansion of +nan.0 in im 20.629 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.629 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 20.629 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.629 * [taylor]: Taking taylor expansion of im in im 20.629 * [backup-simplify]: Simplify 0 into 0 20.629 * [backup-simplify]: Simplify 1 into 1 20.629 * [backup-simplify]: Simplify (* 1 1) into 1 20.629 * [backup-simplify]: Simplify (/ 1 1) into 1 20.629 * [taylor]: Taking taylor expansion of (- +nan.0) in im 20.629 * [taylor]: Taking taylor expansion of +nan.0 in im 20.629 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.631 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 20.632 * [backup-simplify]: Simplify (+ 0 0) into 0 20.632 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 20.632 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 20.633 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 20.633 * [backup-simplify]: Simplify 0 into 0 20.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.636 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 20.636 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.637 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 20.639 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 20.639 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.640 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 20.640 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 20.640 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 20.640 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 20.640 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 20.640 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.640 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 20.640 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 20.640 * [taylor]: Taking taylor expansion of (/ -1 re) in im 20.641 * [taylor]: Taking taylor expansion of -1 in im 20.641 * [backup-simplify]: Simplify -1 into -1 20.641 * [taylor]: Taking taylor expansion of re in im 20.641 * [backup-simplify]: Simplify re into re 20.641 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.641 * [taylor]: Taking taylor expansion of (/ -1 re) in im 20.641 * [taylor]: Taking taylor expansion of -1 in im 20.641 * [backup-simplify]: Simplify -1 into -1 20.641 * [taylor]: Taking taylor expansion of re in im 20.641 * [backup-simplify]: Simplify re into re 20.641 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.641 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 20.641 * [taylor]: Taking taylor expansion of (/ -1 im) in im 20.641 * [taylor]: Taking taylor expansion of -1 in im 20.641 * [backup-simplify]: Simplify -1 into -1 20.641 * [taylor]: Taking taylor expansion of im in im 20.641 * [backup-simplify]: Simplify 0 into 0 20.641 * [backup-simplify]: Simplify 1 into 1 20.641 * [backup-simplify]: Simplify (/ -1 1) into -1 20.641 * [taylor]: Taking taylor expansion of (/ -1 im) in im 20.641 * [taylor]: Taking taylor expansion of -1 in im 20.641 * [backup-simplify]: Simplify -1 into -1 20.641 * [taylor]: Taking taylor expansion of im in im 20.641 * [backup-simplify]: Simplify 0 into 0 20.641 * [backup-simplify]: Simplify 1 into 1 20.642 * [backup-simplify]: Simplify (/ -1 1) into -1 20.642 * [backup-simplify]: Simplify (* -1 -1) into 1 20.643 * [backup-simplify]: Simplify (+ 0 1) into 1 20.643 * [backup-simplify]: Simplify (sqrt 1) into 1 20.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.645 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.645 * [backup-simplify]: Simplify (+ 0 0) into 0 20.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.646 * [backup-simplify]: Simplify (sqrt 0) into 0 20.647 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.647 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 20.648 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 20.648 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.648 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 20.648 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 20.648 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.648 * [taylor]: Taking taylor expansion of -1 in re 20.648 * [backup-simplify]: Simplify -1 into -1 20.648 * [taylor]: Taking taylor expansion of re in re 20.648 * [backup-simplify]: Simplify 0 into 0 20.648 * [backup-simplify]: Simplify 1 into 1 20.648 * [backup-simplify]: Simplify (/ -1 1) into -1 20.648 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.648 * [taylor]: Taking taylor expansion of -1 in re 20.648 * [backup-simplify]: Simplify -1 into -1 20.648 * [taylor]: Taking taylor expansion of re in re 20.648 * [backup-simplify]: Simplify 0 into 0 20.648 * [backup-simplify]: Simplify 1 into 1 20.649 * [backup-simplify]: Simplify (/ -1 1) into -1 20.649 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 20.649 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.649 * [taylor]: Taking taylor expansion of -1 in re 20.649 * [backup-simplify]: Simplify -1 into -1 20.649 * [taylor]: Taking taylor expansion of im in re 20.649 * [backup-simplify]: Simplify im into im 20.649 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.649 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.649 * [taylor]: Taking taylor expansion of -1 in re 20.649 * [backup-simplify]: Simplify -1 into -1 20.649 * [taylor]: Taking taylor expansion of im in re 20.649 * [backup-simplify]: Simplify im into im 20.649 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.650 * [backup-simplify]: Simplify (* -1 -1) into 1 20.650 * [backup-simplify]: Simplify (+ 1 0) into 1 20.650 * [backup-simplify]: Simplify (sqrt 1) into 1 20.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.653 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.653 * [backup-simplify]: Simplify (+ 0 0) into 0 20.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.654 * [backup-simplify]: Simplify (sqrt 0) into 0 20.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.655 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 20.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 20.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.655 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 20.655 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 20.655 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.655 * [taylor]: Taking taylor expansion of -1 in re 20.656 * [backup-simplify]: Simplify -1 into -1 20.656 * [taylor]: Taking taylor expansion of re in re 20.656 * [backup-simplify]: Simplify 0 into 0 20.656 * [backup-simplify]: Simplify 1 into 1 20.656 * [backup-simplify]: Simplify (/ -1 1) into -1 20.656 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.656 * [taylor]: Taking taylor expansion of -1 in re 20.656 * [backup-simplify]: Simplify -1 into -1 20.656 * [taylor]: Taking taylor expansion of re in re 20.656 * [backup-simplify]: Simplify 0 into 0 20.656 * [backup-simplify]: Simplify 1 into 1 20.656 * [backup-simplify]: Simplify (/ -1 1) into -1 20.657 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 20.657 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.657 * [taylor]: Taking taylor expansion of -1 in re 20.657 * [backup-simplify]: Simplify -1 into -1 20.657 * [taylor]: Taking taylor expansion of im in re 20.657 * [backup-simplify]: Simplify im into im 20.657 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.657 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.657 * [taylor]: Taking taylor expansion of -1 in re 20.657 * [backup-simplify]: Simplify -1 into -1 20.657 * [taylor]: Taking taylor expansion of im in re 20.657 * [backup-simplify]: Simplify im into im 20.657 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.657 * [backup-simplify]: Simplify (* -1 -1) into 1 20.658 * [backup-simplify]: Simplify (+ 1 0) into 1 20.658 * [backup-simplify]: Simplify (sqrt 1) into 1 20.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.660 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.660 * [backup-simplify]: Simplify (+ 0 0) into 0 20.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.661 * [backup-simplify]: Simplify (sqrt 0) into 0 20.663 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 20.663 * [taylor]: Taking taylor expansion of 0 in im 20.663 * [backup-simplify]: Simplify 0 into 0 20.663 * [taylor]: Taking taylor expansion of +nan.0 in im 20.663 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.663 * [backup-simplify]: Simplify 0 into 0 20.665 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 20.665 * [taylor]: Taking taylor expansion of +nan.0 in im 20.665 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.665 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.666 * [backup-simplify]: Simplify 0 into 0 20.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.668 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 20.668 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 20.668 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 20.670 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 20.675 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 20.676 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 20.676 * [taylor]: Taking taylor expansion of +nan.0 in im 20.676 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.676 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 20.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 20.676 * [taylor]: Taking taylor expansion of 1/2 in im 20.676 * [backup-simplify]: Simplify 1/2 into 1/2 20.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 20.676 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.676 * [taylor]: Taking taylor expansion of im in im 20.676 * [backup-simplify]: Simplify 0 into 0 20.676 * [backup-simplify]: Simplify 1 into 1 20.676 * [backup-simplify]: Simplify (* 1 1) into 1 20.677 * [backup-simplify]: Simplify (/ 1 1) into 1 20.677 * [taylor]: Taking taylor expansion of +nan.0 in im 20.677 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 20.679 * [backup-simplify]: Simplify (+ 0 0) into 0 20.679 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 20.680 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 20.680 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 20.680 * [backup-simplify]: Simplify 0 into 0 20.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.680 * [backup-simplify]: Simplify 0 into 0 20.680 * [backup-simplify]: Simplify 0 into 0 20.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.683 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 20.683 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 20.683 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 20.683 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 20.684 * [backup-simplify]: Simplify (+ 0 0) into 0 20.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 20.685 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 20.686 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 20.686 * [taylor]: Taking taylor expansion of +nan.0 in im 20.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.686 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 20.686 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 20.686 * [taylor]: Taking taylor expansion of +nan.0 in im 20.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 20.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.686 * [taylor]: Taking taylor expansion of im in im 20.686 * [backup-simplify]: Simplify 0 into 0 20.686 * [backup-simplify]: Simplify 1 into 1 20.686 * [backup-simplify]: Simplify (* 1 1) into 1 20.686 * [backup-simplify]: Simplify (/ 1 1) into 1 20.686 * [taylor]: Taking taylor expansion of (- +nan.0) in im 20.687 * [taylor]: Taking taylor expansion of +nan.0 in im 20.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 20.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.688 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 20.689 * [backup-simplify]: Simplify (+ 0 0) into 0 20.689 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 20.690 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 20.690 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 20.690 * [backup-simplify]: Simplify 0 into 0 20.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 20.693 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.694 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 20.696 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 20.697 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 20.697 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 20.697 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 20.698 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) into (hypot re im) 20.698 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 20.698 * [taylor]: Taking taylor expansion of (hypot re im) in im 20.698 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.698 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 20.698 * [taylor]: Taking taylor expansion of (* re re) in im 20.698 * [taylor]: Taking taylor expansion of re in im 20.698 * [backup-simplify]: Simplify re into re 20.698 * [taylor]: Taking taylor expansion of re in im 20.698 * [backup-simplify]: Simplify re into re 20.698 * [taylor]: Taking taylor expansion of (* im im) in im 20.698 * [taylor]: Taking taylor expansion of im in im 20.698 * [backup-simplify]: Simplify 0 into 0 20.698 * [backup-simplify]: Simplify 1 into 1 20.698 * [taylor]: Taking taylor expansion of im in im 20.698 * [backup-simplify]: Simplify 0 into 0 20.698 * [backup-simplify]: Simplify 1 into 1 20.698 * [backup-simplify]: Simplify (* re re) into (pow re 2) 20.699 * [backup-simplify]: Simplify (* 0 0) into 0 20.699 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 20.699 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 20.699 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 20.700 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.700 * [backup-simplify]: Simplify (+ 0 0) into 0 20.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 20.700 * [taylor]: Taking taylor expansion of (hypot re im) in re 20.700 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.700 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 20.700 * [taylor]: Taking taylor expansion of (* re re) in re 20.700 * [taylor]: Taking taylor expansion of re in re 20.700 * [backup-simplify]: Simplify 0 into 0 20.700 * [backup-simplify]: Simplify 1 into 1 20.700 * [taylor]: Taking taylor expansion of re in re 20.700 * [backup-simplify]: Simplify 0 into 0 20.700 * [backup-simplify]: Simplify 1 into 1 20.700 * [taylor]: Taking taylor expansion of (* im im) in re 20.700 * [taylor]: Taking taylor expansion of im in re 20.700 * [backup-simplify]: Simplify im into im 20.700 * [taylor]: Taking taylor expansion of im in re 20.700 * [backup-simplify]: Simplify im into im 20.701 * [backup-simplify]: Simplify (* 0 0) into 0 20.701 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.701 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 20.701 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 20.702 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.702 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.702 * [backup-simplify]: Simplify (+ 0 0) into 0 20.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 20.702 * [taylor]: Taking taylor expansion of (hypot re im) in re 20.702 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.702 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 20.702 * [taylor]: Taking taylor expansion of (* re re) in re 20.702 * [taylor]: Taking taylor expansion of re in re 20.702 * [backup-simplify]: Simplify 0 into 0 20.702 * [backup-simplify]: Simplify 1 into 1 20.702 * [taylor]: Taking taylor expansion of re in re 20.703 * [backup-simplify]: Simplify 0 into 0 20.703 * [backup-simplify]: Simplify 1 into 1 20.703 * [taylor]: Taking taylor expansion of (* im im) in re 20.703 * [taylor]: Taking taylor expansion of im in re 20.703 * [backup-simplify]: Simplify im into im 20.703 * [taylor]: Taking taylor expansion of im in re 20.703 * [backup-simplify]: Simplify im into im 20.703 * [backup-simplify]: Simplify (* 0 0) into 0 20.703 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.703 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 20.704 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 20.704 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.704 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.705 * [backup-simplify]: Simplify (+ 0 0) into 0 20.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 20.705 * [taylor]: Taking taylor expansion of im in im 20.705 * [backup-simplify]: Simplify 0 into 0 20.705 * [backup-simplify]: Simplify 1 into 1 20.705 * [backup-simplify]: Simplify 0 into 0 20.705 * [taylor]: Taking taylor expansion of 0 in im 20.705 * [backup-simplify]: Simplify 0 into 0 20.705 * [backup-simplify]: Simplify 0 into 0 20.705 * [backup-simplify]: Simplify 1 into 1 20.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 20.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 20.707 * [backup-simplify]: Simplify (+ 1 0) into 1 20.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 20.707 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 20.707 * [taylor]: Taking taylor expansion of 1/2 in im 20.707 * [backup-simplify]: Simplify 1/2 into 1/2 20.707 * [taylor]: Taking taylor expansion of im in im 20.707 * [backup-simplify]: Simplify 0 into 0 20.707 * [backup-simplify]: Simplify 1 into 1 20.708 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 20.709 * [backup-simplify]: Simplify 0 into 0 20.709 * [backup-simplify]: Simplify 0 into 0 20.709 * [backup-simplify]: Simplify 0 into 0 20.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 20.711 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 20.711 * [backup-simplify]: Simplify (+ 0 0) into 0 20.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 20.711 * [taylor]: Taking taylor expansion of 0 in im 20.711 * [backup-simplify]: Simplify 0 into 0 20.711 * [backup-simplify]: Simplify 0 into 0 20.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.712 * [backup-simplify]: Simplify 0 into 0 20.712 * [backup-simplify]: Simplify 0 into 0 20.712 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 20.713 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))))) into (hypot (/ 1 re) (/ 1 im)) 20.713 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 20.713 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 20.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.713 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 20.713 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 20.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 20.713 * [taylor]: Taking taylor expansion of re in im 20.713 * [backup-simplify]: Simplify re into re 20.713 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 20.713 * [taylor]: Taking taylor expansion of re in im 20.713 * [backup-simplify]: Simplify re into re 20.713 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.713 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 20.713 * [taylor]: Taking taylor expansion of (/ 1 im) in im 20.714 * [taylor]: Taking taylor expansion of im in im 20.714 * [backup-simplify]: Simplify 0 into 0 20.714 * [backup-simplify]: Simplify 1 into 1 20.714 * [backup-simplify]: Simplify (/ 1 1) into 1 20.714 * [taylor]: Taking taylor expansion of (/ 1 im) in im 20.714 * [taylor]: Taking taylor expansion of im in im 20.714 * [backup-simplify]: Simplify 0 into 0 20.714 * [backup-simplify]: Simplify 1 into 1 20.714 * [backup-simplify]: Simplify (/ 1 1) into 1 20.715 * [backup-simplify]: Simplify (* 1 1) into 1 20.715 * [backup-simplify]: Simplify (+ 0 1) into 1 20.715 * [backup-simplify]: Simplify (sqrt 1) into 1 20.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.718 * [backup-simplify]: Simplify (+ 0 0) into 0 20.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.718 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 20.719 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.719 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 20.719 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 20.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.719 * [taylor]: Taking taylor expansion of re in re 20.719 * [backup-simplify]: Simplify 0 into 0 20.719 * [backup-simplify]: Simplify 1 into 1 20.719 * [backup-simplify]: Simplify (/ 1 1) into 1 20.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.719 * [taylor]: Taking taylor expansion of re in re 20.719 * [backup-simplify]: Simplify 0 into 0 20.719 * [backup-simplify]: Simplify 1 into 1 20.720 * [backup-simplify]: Simplify (/ 1 1) into 1 20.720 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 20.720 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.720 * [taylor]: Taking taylor expansion of im in re 20.720 * [backup-simplify]: Simplify im into im 20.720 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.720 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.720 * [taylor]: Taking taylor expansion of im in re 20.720 * [backup-simplify]: Simplify im into im 20.720 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.720 * [backup-simplify]: Simplify (* 1 1) into 1 20.721 * [backup-simplify]: Simplify (+ 1 0) into 1 20.721 * [backup-simplify]: Simplify (sqrt 1) into 1 20.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.723 * [backup-simplify]: Simplify (+ 0 0) into 0 20.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.724 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 20.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.724 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 20.724 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 20.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.724 * [taylor]: Taking taylor expansion of re in re 20.724 * [backup-simplify]: Simplify 0 into 0 20.724 * [backup-simplify]: Simplify 1 into 1 20.725 * [backup-simplify]: Simplify (/ 1 1) into 1 20.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.725 * [taylor]: Taking taylor expansion of re in re 20.725 * [backup-simplify]: Simplify 0 into 0 20.725 * [backup-simplify]: Simplify 1 into 1 20.725 * [backup-simplify]: Simplify (/ 1 1) into 1 20.725 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 20.725 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.725 * [taylor]: Taking taylor expansion of im in re 20.725 * [backup-simplify]: Simplify im into im 20.725 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.725 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.725 * [taylor]: Taking taylor expansion of im in re 20.725 * [backup-simplify]: Simplify im into im 20.725 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.726 * [backup-simplify]: Simplify (* 1 1) into 1 20.726 * [backup-simplify]: Simplify (+ 1 0) into 1 20.726 * [backup-simplify]: Simplify (sqrt 1) into 1 20.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.729 * [backup-simplify]: Simplify (+ 0 0) into 0 20.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.729 * [taylor]: Taking taylor expansion of 1 in im 20.729 * [backup-simplify]: Simplify 1 into 1 20.729 * [taylor]: Taking taylor expansion of 0 in im 20.729 * [backup-simplify]: Simplify 0 into 0 20.730 * [backup-simplify]: Simplify 1 into 1 20.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.732 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 20.732 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 20.733 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 20.733 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 20.734 * [taylor]: Taking taylor expansion of 1/2 in im 20.734 * [backup-simplify]: Simplify 1/2 into 1/2 20.734 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.734 * [taylor]: Taking taylor expansion of im in im 20.734 * [backup-simplify]: Simplify 0 into 0 20.734 * [backup-simplify]: Simplify 1 into 1 20.734 * [backup-simplify]: Simplify (* 1 1) into 1 20.734 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 20.736 * [backup-simplify]: Simplify 0 into 0 20.736 * [backup-simplify]: Simplify 0 into 0 20.736 * [backup-simplify]: Simplify 0 into 0 20.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 20.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 20.739 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 20.739 * [backup-simplify]: Simplify (+ 0 0) into 0 20.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 20.740 * [taylor]: Taking taylor expansion of 0 in im 20.740 * [backup-simplify]: Simplify 0 into 0 20.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.742 * [backup-simplify]: Simplify 0 into 0 20.742 * [backup-simplify]: Simplify 0 into 0 20.742 * [backup-simplify]: Simplify 0 into 0 20.742 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 20.742 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (hypot (/ -1 re) (/ -1 im)) 20.742 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 20.742 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 20.743 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.743 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 20.743 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 20.743 * [taylor]: Taking taylor expansion of (/ -1 re) in im 20.743 * [taylor]: Taking taylor expansion of -1 in im 20.743 * [backup-simplify]: Simplify -1 into -1 20.743 * [taylor]: Taking taylor expansion of re in im 20.743 * [backup-simplify]: Simplify re into re 20.743 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.743 * [taylor]: Taking taylor expansion of (/ -1 re) in im 20.743 * [taylor]: Taking taylor expansion of -1 in im 20.743 * [backup-simplify]: Simplify -1 into -1 20.743 * [taylor]: Taking taylor expansion of re in im 20.743 * [backup-simplify]: Simplify re into re 20.743 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.743 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 20.743 * [taylor]: Taking taylor expansion of (/ -1 im) in im 20.743 * [taylor]: Taking taylor expansion of -1 in im 20.743 * [backup-simplify]: Simplify -1 into -1 20.743 * [taylor]: Taking taylor expansion of im in im 20.743 * [backup-simplify]: Simplify 0 into 0 20.743 * [backup-simplify]: Simplify 1 into 1 20.744 * [backup-simplify]: Simplify (/ -1 1) into -1 20.744 * [taylor]: Taking taylor expansion of (/ -1 im) in im 20.744 * [taylor]: Taking taylor expansion of -1 in im 20.744 * [backup-simplify]: Simplify -1 into -1 20.744 * [taylor]: Taking taylor expansion of im in im 20.744 * [backup-simplify]: Simplify 0 into 0 20.744 * [backup-simplify]: Simplify 1 into 1 20.744 * [backup-simplify]: Simplify (/ -1 1) into -1 20.744 * [backup-simplify]: Simplify (* -1 -1) into 1 20.745 * [backup-simplify]: Simplify (+ 0 1) into 1 20.745 * [backup-simplify]: Simplify (sqrt 1) into 1 20.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.747 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.748 * [backup-simplify]: Simplify (+ 0 0) into 0 20.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.748 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 20.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.749 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 20.749 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 20.749 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.749 * [taylor]: Taking taylor expansion of -1 in re 20.749 * [backup-simplify]: Simplify -1 into -1 20.749 * [taylor]: Taking taylor expansion of re in re 20.749 * [backup-simplify]: Simplify 0 into 0 20.749 * [backup-simplify]: Simplify 1 into 1 20.749 * [backup-simplify]: Simplify (/ -1 1) into -1 20.749 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.749 * [taylor]: Taking taylor expansion of -1 in re 20.749 * [backup-simplify]: Simplify -1 into -1 20.749 * [taylor]: Taking taylor expansion of re in re 20.749 * [backup-simplify]: Simplify 0 into 0 20.749 * [backup-simplify]: Simplify 1 into 1 20.750 * [backup-simplify]: Simplify (/ -1 1) into -1 20.750 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 20.750 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.750 * [taylor]: Taking taylor expansion of -1 in re 20.750 * [backup-simplify]: Simplify -1 into -1 20.750 * [taylor]: Taking taylor expansion of im in re 20.750 * [backup-simplify]: Simplify im into im 20.750 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.750 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.750 * [taylor]: Taking taylor expansion of -1 in re 20.750 * [backup-simplify]: Simplify -1 into -1 20.750 * [taylor]: Taking taylor expansion of im in re 20.750 * [backup-simplify]: Simplify im into im 20.750 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.750 * [backup-simplify]: Simplify (* -1 -1) into 1 20.751 * [backup-simplify]: Simplify (+ 1 0) into 1 20.751 * [backup-simplify]: Simplify (sqrt 1) into 1 20.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.753 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.754 * [backup-simplify]: Simplify (+ 0 0) into 0 20.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.754 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 20.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.755 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 20.755 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 20.755 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.755 * [taylor]: Taking taylor expansion of -1 in re 20.755 * [backup-simplify]: Simplify -1 into -1 20.755 * [taylor]: Taking taylor expansion of re in re 20.755 * [backup-simplify]: Simplify 0 into 0 20.755 * [backup-simplify]: Simplify 1 into 1 20.755 * [backup-simplify]: Simplify (/ -1 1) into -1 20.755 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.755 * [taylor]: Taking taylor expansion of -1 in re 20.755 * [backup-simplify]: Simplify -1 into -1 20.755 * [taylor]: Taking taylor expansion of re in re 20.755 * [backup-simplify]: Simplify 0 into 0 20.755 * [backup-simplify]: Simplify 1 into 1 20.756 * [backup-simplify]: Simplify (/ -1 1) into -1 20.756 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 20.756 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.756 * [taylor]: Taking taylor expansion of -1 in re 20.756 * [backup-simplify]: Simplify -1 into -1 20.756 * [taylor]: Taking taylor expansion of im in re 20.756 * [backup-simplify]: Simplify im into im 20.756 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.756 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.756 * [taylor]: Taking taylor expansion of -1 in re 20.756 * [backup-simplify]: Simplify -1 into -1 20.756 * [taylor]: Taking taylor expansion of im in re 20.756 * [backup-simplify]: Simplify im into im 20.756 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.756 * [backup-simplify]: Simplify (* -1 -1) into 1 20.757 * [backup-simplify]: Simplify (+ 1 0) into 1 20.757 * [backup-simplify]: Simplify (sqrt 1) into 1 20.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.759 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.760 * [backup-simplify]: Simplify (+ 0 0) into 0 20.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.760 * [taylor]: Taking taylor expansion of 1 in im 20.761 * [backup-simplify]: Simplify 1 into 1 20.761 * [taylor]: Taking taylor expansion of 0 in im 20.761 * [backup-simplify]: Simplify 0 into 0 20.761 * [backup-simplify]: Simplify 1 into 1 20.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.764 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 20.764 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 20.764 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 20.765 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 20.765 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 20.765 * [taylor]: Taking taylor expansion of 1/2 in im 20.765 * [backup-simplify]: Simplify 1/2 into 1/2 20.765 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.765 * [taylor]: Taking taylor expansion of im in im 20.765 * [backup-simplify]: Simplify 0 into 0 20.765 * [backup-simplify]: Simplify 1 into 1 20.766 * [backup-simplify]: Simplify (* 1 1) into 1 20.766 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 20.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 20.768 * [backup-simplify]: Simplify 0 into 0 20.768 * [backup-simplify]: Simplify 0 into 0 20.768 * [backup-simplify]: Simplify 0 into 0 20.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 20.771 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 20.771 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 20.771 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 20.771 * [backup-simplify]: Simplify (+ 0 0) into 0 20.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 20.772 * [taylor]: Taking taylor expansion of 0 in im 20.772 * [backup-simplify]: Simplify 0 into 0 20.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.774 * [backup-simplify]: Simplify 0 into 0 20.774 * [backup-simplify]: Simplify 0 into 0 20.774 * [backup-simplify]: Simplify 0 into 0 20.774 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 20.774 * * * * [progress]: [ 4 / 4 ] generating series at (2) 20.774 * [backup-simplify]: Simplify (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) into (/ (log (hypot re im)) (log base)) 20.774 * [approximate]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in (re im base) around 0 20.775 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in base 20.775 * [taylor]: Taking taylor expansion of (log (hypot re im)) in base 20.775 * [taylor]: Taking taylor expansion of (hypot re im) in base 20.775 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.775 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in base 20.775 * [taylor]: Taking taylor expansion of (* re re) in base 20.775 * [taylor]: Taking taylor expansion of re in base 20.775 * [backup-simplify]: Simplify re into re 20.775 * [taylor]: Taking taylor expansion of re in base 20.775 * [backup-simplify]: Simplify re into re 20.775 * [taylor]: Taking taylor expansion of (* im im) in base 20.775 * [taylor]: Taking taylor expansion of im in base 20.775 * [backup-simplify]: Simplify im into im 20.775 * [taylor]: Taking taylor expansion of im in base 20.775 * [backup-simplify]: Simplify im into im 20.775 * [backup-simplify]: Simplify (* re re) into (pow re 2) 20.775 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.775 * [backup-simplify]: Simplify (+ (pow re 2) (pow im 2)) into (+ (pow im 2) (pow re 2)) 20.775 * [backup-simplify]: Simplify (sqrt (+ (pow im 2) (pow re 2))) into (sqrt (+ (pow im 2) (pow re 2))) 20.776 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 20.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.776 * [backup-simplify]: Simplify (+ 0 0) into 0 20.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow im 2) (pow re 2))))) into 0 20.776 * [backup-simplify]: Simplify (log (sqrt (+ (pow im 2) (pow re 2)))) into (log (sqrt (+ (pow im 2) (pow re 2)))) 20.776 * [taylor]: Taking taylor expansion of (log base) in base 20.776 * [taylor]: Taking taylor expansion of base in base 20.776 * [backup-simplify]: Simplify 0 into 0 20.777 * [backup-simplify]: Simplify 1 into 1 20.777 * [backup-simplify]: Simplify (log 1) into 0 20.777 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 20.778 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 20.778 * [backup-simplify]: Simplify (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) into (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)) 20.778 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in im 20.778 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 20.778 * [taylor]: Taking taylor expansion of (hypot re im) in im 20.778 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.778 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 20.778 * [taylor]: Taking taylor expansion of (* re re) in im 20.778 * [taylor]: Taking taylor expansion of re in im 20.778 * [backup-simplify]: Simplify re into re 20.778 * [taylor]: Taking taylor expansion of re in im 20.778 * [backup-simplify]: Simplify re into re 20.778 * [taylor]: Taking taylor expansion of (* im im) in im 20.778 * [taylor]: Taking taylor expansion of im in im 20.778 * [backup-simplify]: Simplify 0 into 0 20.778 * [backup-simplify]: Simplify 1 into 1 20.778 * [taylor]: Taking taylor expansion of im in im 20.778 * [backup-simplify]: Simplify 0 into 0 20.778 * [backup-simplify]: Simplify 1 into 1 20.778 * [backup-simplify]: Simplify (* re re) into (pow re 2) 20.779 * [backup-simplify]: Simplify (* 0 0) into 0 20.779 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 20.779 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 20.779 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 20.780 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.780 * [backup-simplify]: Simplify (+ 0 0) into 0 20.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 20.780 * [backup-simplify]: Simplify (log re) into (log re) 20.780 * [taylor]: Taking taylor expansion of (log base) in im 20.780 * [taylor]: Taking taylor expansion of base in im 20.780 * [backup-simplify]: Simplify base into base 20.780 * [backup-simplify]: Simplify (log base) into (log base) 20.780 * [backup-simplify]: Simplify (/ (log re) (log base)) into (/ (log re) (log base)) 20.781 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in re 20.781 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 20.781 * [taylor]: Taking taylor expansion of (hypot re im) in re 20.781 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.781 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 20.781 * [taylor]: Taking taylor expansion of (* re re) in re 20.781 * [taylor]: Taking taylor expansion of re in re 20.781 * [backup-simplify]: Simplify 0 into 0 20.781 * [backup-simplify]: Simplify 1 into 1 20.781 * [taylor]: Taking taylor expansion of re in re 20.781 * [backup-simplify]: Simplify 0 into 0 20.781 * [backup-simplify]: Simplify 1 into 1 20.781 * [taylor]: Taking taylor expansion of (* im im) in re 20.781 * [taylor]: Taking taylor expansion of im in re 20.781 * [backup-simplify]: Simplify im into im 20.781 * [taylor]: Taking taylor expansion of im in re 20.781 * [backup-simplify]: Simplify im into im 20.781 * [backup-simplify]: Simplify (* 0 0) into 0 20.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.782 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 20.782 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 20.782 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.782 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.783 * [backup-simplify]: Simplify (+ 0 0) into 0 20.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 20.783 * [backup-simplify]: Simplify (log im) into (log im) 20.783 * [taylor]: Taking taylor expansion of (log base) in re 20.783 * [taylor]: Taking taylor expansion of base in re 20.783 * [backup-simplify]: Simplify base into base 20.783 * [backup-simplify]: Simplify (log base) into (log base) 20.783 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 20.783 * [taylor]: Taking taylor expansion of (/ (log (hypot re im)) (log base)) in re 20.783 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 20.783 * [taylor]: Taking taylor expansion of (hypot re im) in re 20.783 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 20.783 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 20.783 * [taylor]: Taking taylor expansion of (* re re) in re 20.783 * [taylor]: Taking taylor expansion of re in re 20.783 * [backup-simplify]: Simplify 0 into 0 20.783 * [backup-simplify]: Simplify 1 into 1 20.783 * [taylor]: Taking taylor expansion of re in re 20.783 * [backup-simplify]: Simplify 0 into 0 20.783 * [backup-simplify]: Simplify 1 into 1 20.783 * [taylor]: Taking taylor expansion of (* im im) in re 20.783 * [taylor]: Taking taylor expansion of im in re 20.784 * [backup-simplify]: Simplify im into im 20.784 * [taylor]: Taking taylor expansion of im in re 20.784 * [backup-simplify]: Simplify im into im 20.784 * [backup-simplify]: Simplify (* 0 0) into 0 20.784 * [backup-simplify]: Simplify (* im im) into (pow im 2) 20.784 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 20.784 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 20.785 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 20.785 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 20.785 * [backup-simplify]: Simplify (+ 0 0) into 0 20.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 20.785 * [backup-simplify]: Simplify (log im) into (log im) 20.785 * [taylor]: Taking taylor expansion of (log base) in re 20.785 * [taylor]: Taking taylor expansion of base in re 20.785 * [backup-simplify]: Simplify base into base 20.785 * [backup-simplify]: Simplify (log base) into (log base) 20.786 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 20.786 * [taylor]: Taking taylor expansion of (/ (log im) (log base)) in im 20.786 * [taylor]: Taking taylor expansion of (log im) in im 20.786 * [taylor]: Taking taylor expansion of im in im 20.786 * [backup-simplify]: Simplify 0 into 0 20.786 * [backup-simplify]: Simplify 1 into 1 20.786 * [backup-simplify]: Simplify (log 1) into 0 20.786 * [taylor]: Taking taylor expansion of (log base) in im 20.786 * [taylor]: Taking taylor expansion of base in im 20.786 * [backup-simplify]: Simplify base into base 20.786 * [backup-simplify]: Simplify (log base) into (log base) 20.787 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 20.787 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 20.787 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 20.787 * [taylor]: Taking taylor expansion of (/ (log im) (log base)) in base 20.787 * [taylor]: Taking taylor expansion of (log im) in base 20.787 * [taylor]: Taking taylor expansion of im in base 20.787 * [backup-simplify]: Simplify im into im 20.787 * [backup-simplify]: Simplify (log im) into (log im) 20.787 * [taylor]: Taking taylor expansion of (log base) in base 20.787 * [taylor]: Taking taylor expansion of base in base 20.787 * [backup-simplify]: Simplify 0 into 0 20.787 * [backup-simplify]: Simplify 1 into 1 20.788 * [backup-simplify]: Simplify (log 1) into 0 20.788 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 20.789 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 20.789 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 20.789 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 20.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 20.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 20.790 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 20.790 * [taylor]: Taking taylor expansion of 0 in im 20.791 * [backup-simplify]: Simplify 0 into 0 20.791 * [taylor]: Taking taylor expansion of 0 in base 20.791 * [backup-simplify]: Simplify 0 into 0 20.791 * [backup-simplify]: Simplify 0 into 0 20.792 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 20.793 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 20.793 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 20.793 * [taylor]: Taking taylor expansion of 0 in base 20.793 * [backup-simplify]: Simplify 0 into 0 20.793 * [backup-simplify]: Simplify 0 into 0 20.794 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 20.794 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 20.795 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 20.796 * [backup-simplify]: Simplify (+ (* (- -1) (log base)) 0) into (log base) 20.796 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))))) into 0 20.796 * [backup-simplify]: Simplify 0 into 0 20.796 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 20.797 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 20.797 * [backup-simplify]: Simplify (+ 1 0) into 1 20.798 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 20.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 20.801 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 20.801 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into (* 1/2 (/ 1 (* (log base) (pow im 2)))) 20.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (log base) (pow im 2)))) in im 20.801 * [taylor]: Taking taylor expansion of 1/2 in im 20.801 * [backup-simplify]: Simplify 1/2 into 1/2 20.801 * [taylor]: Taking taylor expansion of (/ 1 (* (log base) (pow im 2))) in im 20.801 * [taylor]: Taking taylor expansion of (* (log base) (pow im 2)) in im 20.801 * [taylor]: Taking taylor expansion of (log base) in im 20.801 * [taylor]: Taking taylor expansion of base in im 20.801 * [backup-simplify]: Simplify base into base 20.801 * [backup-simplify]: Simplify (log base) into (log base) 20.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.801 * [taylor]: Taking taylor expansion of im in im 20.801 * [backup-simplify]: Simplify 0 into 0 20.801 * [backup-simplify]: Simplify 1 into 1 20.802 * [backup-simplify]: Simplify (* 1 1) into 1 20.802 * [backup-simplify]: Simplify (* (log base) 1) into (log base) 20.802 * [backup-simplify]: Simplify (/ 1 (log base)) into (/ 1 (log base)) 20.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.804 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow base 1)))) 1) into 0 20.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 20.806 * [backup-simplify]: Simplify (+ (* (log base) 0) (+ (* 0 0) (* 0 1))) into 0 20.807 * [backup-simplify]: Simplify (+ (* (log base) 0) (* 0 1)) into 0 20.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log base)) (/ 0 (log base))))) into 0 20.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into 0 20.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log base))))) into 0 20.813 * [taylor]: Taking taylor expansion of 0 in base 20.813 * [backup-simplify]: Simplify 0 into 0 20.813 * [backup-simplify]: Simplify 0 into 0 20.813 * [taylor]: Taking taylor expansion of 0 in base 20.813 * [backup-simplify]: Simplify 0 into 0 20.813 * [backup-simplify]: Simplify 0 into 0 20.815 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 20.817 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow base 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow base 1)))) 2) into 0 20.817 * [backup-simplify]: Simplify (- (/ 0 (log base)) (+ (* (/ (log im) (log base)) (/ 0 (log base))) (* 0 (/ 0 (log base))))) into 0 20.817 * [taylor]: Taking taylor expansion of 0 in base 20.817 * [backup-simplify]: Simplify 0 into 0 20.817 * [backup-simplify]: Simplify 0 into 0 20.817 * [backup-simplify]: Simplify (/ (log im) (log base)) into (/ (log im) (log base)) 20.818 * [backup-simplify]: Simplify (* (log (* (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (sqrt (hypot (/ 1 re) (/ 1 im))))))) (/ 1 (log (/ 1 base)))) into (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) 20.818 * [approximate]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in (re im base) around 0 20.818 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in base 20.818 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in base 20.818 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in base 20.818 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.818 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in base 20.818 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in base 20.818 * [taylor]: Taking taylor expansion of (/ 1 re) in base 20.818 * [taylor]: Taking taylor expansion of re in base 20.818 * [backup-simplify]: Simplify re into re 20.818 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.818 * [taylor]: Taking taylor expansion of (/ 1 re) in base 20.818 * [taylor]: Taking taylor expansion of re in base 20.818 * [backup-simplify]: Simplify re into re 20.818 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.818 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in base 20.818 * [taylor]: Taking taylor expansion of (/ 1 im) in base 20.818 * [taylor]: Taking taylor expansion of im in base 20.819 * [backup-simplify]: Simplify im into im 20.819 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.819 * [taylor]: Taking taylor expansion of (/ 1 im) in base 20.819 * [taylor]: Taking taylor expansion of im in base 20.819 * [backup-simplify]: Simplify im into im 20.819 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.819 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 20.819 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 20.819 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 20.819 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 20.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 20.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 20.820 * [backup-simplify]: Simplify (+ (* (/ 1 re) 0) (* 0 (/ 1 re))) into 0 20.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 20.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 20.820 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 20.820 * [backup-simplify]: Simplify (+ 0 0) into 0 20.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) into 0 20.821 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) into (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 20.821 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 20.821 * [taylor]: Taking taylor expansion of (/ 1 base) in base 20.821 * [taylor]: Taking taylor expansion of base in base 20.821 * [backup-simplify]: Simplify 0 into 0 20.821 * [backup-simplify]: Simplify 1 into 1 20.821 * [backup-simplify]: Simplify (/ 1 1) into 1 20.822 * [backup-simplify]: Simplify (log 1) into 0 20.822 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 20.823 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 20.823 * [backup-simplify]: Simplify (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log base))) into (* -1 (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (log base))) 20.823 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in im 20.823 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 20.823 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 20.823 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.823 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 20.823 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 20.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im 20.823 * [taylor]: Taking taylor expansion of re in im 20.823 * [backup-simplify]: Simplify re into re 20.823 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.823 * [taylor]: Taking taylor expansion of (/ 1 re) in im 20.823 * [taylor]: Taking taylor expansion of re in im 20.823 * [backup-simplify]: Simplify re into re 20.824 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 20.824 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 20.824 * [taylor]: Taking taylor expansion of (/ 1 im) in im 20.824 * [taylor]: Taking taylor expansion of im in im 20.824 * [backup-simplify]: Simplify 0 into 0 20.824 * [backup-simplify]: Simplify 1 into 1 20.824 * [backup-simplify]: Simplify (/ 1 1) into 1 20.824 * [taylor]: Taking taylor expansion of (/ 1 im) in im 20.824 * [taylor]: Taking taylor expansion of im in im 20.824 * [backup-simplify]: Simplify 0 into 0 20.824 * [backup-simplify]: Simplify 1 into 1 20.825 * [backup-simplify]: Simplify (/ 1 1) into 1 20.825 * [backup-simplify]: Simplify (* 1 1) into 1 20.825 * [backup-simplify]: Simplify (+ 0 1) into 1 20.826 * [backup-simplify]: Simplify (sqrt 1) into 1 20.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.828 * [backup-simplify]: Simplify (+ 0 0) into 0 20.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.829 * [backup-simplify]: Simplify (log 1) into 0 20.829 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 20.829 * [taylor]: Taking taylor expansion of (/ 1 base) in im 20.829 * [taylor]: Taking taylor expansion of base in im 20.829 * [backup-simplify]: Simplify base into base 20.829 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 20.830 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 20.830 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 20.830 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 20.831 * [backup-simplify]: Simplify (/ (- (log im)) (log (/ 1 base))) into (* -1 (/ (log im) (log (/ 1 base)))) 20.831 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in re 20.831 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 20.831 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 20.831 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.831 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 20.831 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 20.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.831 * [taylor]: Taking taylor expansion of re in re 20.831 * [backup-simplify]: Simplify 0 into 0 20.831 * [backup-simplify]: Simplify 1 into 1 20.831 * [backup-simplify]: Simplify (/ 1 1) into 1 20.831 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.831 * [taylor]: Taking taylor expansion of re in re 20.831 * [backup-simplify]: Simplify 0 into 0 20.831 * [backup-simplify]: Simplify 1 into 1 20.832 * [backup-simplify]: Simplify (/ 1 1) into 1 20.832 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 20.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.832 * [taylor]: Taking taylor expansion of im in re 20.832 * [backup-simplify]: Simplify im into im 20.832 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.832 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.832 * [taylor]: Taking taylor expansion of im in re 20.832 * [backup-simplify]: Simplify im into im 20.832 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.833 * [backup-simplify]: Simplify (* 1 1) into 1 20.833 * [backup-simplify]: Simplify (+ 1 0) into 1 20.833 * [backup-simplify]: Simplify (sqrt 1) into 1 20.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.836 * [backup-simplify]: Simplify (+ 0 0) into 0 20.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.837 * [backup-simplify]: Simplify (log 1) into 0 20.837 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 20.837 * [taylor]: Taking taylor expansion of (/ 1 base) in re 20.837 * [taylor]: Taking taylor expansion of base in re 20.837 * [backup-simplify]: Simplify base into base 20.837 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 20.837 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 20.838 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 20.838 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 20.838 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ 1 base))) into (* -1 (/ (log re) (log (/ 1 base)))) 20.838 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ 1 re) (/ 1 im))) (log (/ 1 base))) in re 20.838 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 20.838 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 20.839 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 20.839 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 20.839 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 20.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.839 * [taylor]: Taking taylor expansion of re in re 20.839 * [backup-simplify]: Simplify 0 into 0 20.839 * [backup-simplify]: Simplify 1 into 1 20.839 * [backup-simplify]: Simplify (/ 1 1) into 1 20.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 20.839 * [taylor]: Taking taylor expansion of re in re 20.839 * [backup-simplify]: Simplify 0 into 0 20.839 * [backup-simplify]: Simplify 1 into 1 20.840 * [backup-simplify]: Simplify (/ 1 1) into 1 20.840 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 20.840 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.840 * [taylor]: Taking taylor expansion of im in re 20.840 * [backup-simplify]: Simplify im into im 20.840 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.840 * [taylor]: Taking taylor expansion of (/ 1 im) in re 20.840 * [taylor]: Taking taylor expansion of im in re 20.840 * [backup-simplify]: Simplify im into im 20.840 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 20.840 * [backup-simplify]: Simplify (* 1 1) into 1 20.841 * [backup-simplify]: Simplify (+ 1 0) into 1 20.841 * [backup-simplify]: Simplify (sqrt 1) into 1 20.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.844 * [backup-simplify]: Simplify (+ 0 0) into 0 20.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.845 * [backup-simplify]: Simplify (log 1) into 0 20.845 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in re 20.845 * [taylor]: Taking taylor expansion of (/ 1 base) in re 20.845 * [taylor]: Taking taylor expansion of base in re 20.845 * [backup-simplify]: Simplify base into base 20.845 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 20.845 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 20.845 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 20.846 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 20.846 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ 1 base))) into (* -1 (/ (log re) (log (/ 1 base)))) 20.846 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ 1 base)))) in im 20.846 * [taylor]: Taking taylor expansion of -1 in im 20.846 * [backup-simplify]: Simplify -1 into -1 20.846 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ 1 base))) in im 20.846 * [taylor]: Taking taylor expansion of (log re) in im 20.846 * [taylor]: Taking taylor expansion of re in im 20.846 * [backup-simplify]: Simplify re into re 20.846 * [backup-simplify]: Simplify (log re) into (log re) 20.846 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 20.846 * [taylor]: Taking taylor expansion of (/ 1 base) in im 20.846 * [taylor]: Taking taylor expansion of base in im 20.846 * [backup-simplify]: Simplify base into base 20.847 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 20.847 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 20.847 * [backup-simplify]: Simplify (/ (log re) (log (/ 1 base))) into (/ (log re) (log (/ 1 base))) 20.847 * [backup-simplify]: Simplify (* -1 (/ (log re) (log (/ 1 base)))) into (* -1 (/ (log re) (log (/ 1 base)))) 20.847 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ 1 base)))) in base 20.847 * [taylor]: Taking taylor expansion of -1 in base 20.847 * [backup-simplify]: Simplify -1 into -1 20.847 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ 1 base))) in base 20.847 * [taylor]: Taking taylor expansion of (log re) in base 20.847 * [taylor]: Taking taylor expansion of re in base 20.847 * [backup-simplify]: Simplify re into re 20.847 * [backup-simplify]: Simplify (log re) into (log re) 20.847 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in base 20.847 * [taylor]: Taking taylor expansion of (/ 1 base) in base 20.847 * [taylor]: Taking taylor expansion of base in base 20.847 * [backup-simplify]: Simplify 0 into 0 20.847 * [backup-simplify]: Simplify 1 into 1 20.848 * [backup-simplify]: Simplify (/ 1 1) into 1 20.848 * [backup-simplify]: Simplify (log 1) into 0 20.848 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 20.849 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 20.849 * [backup-simplify]: Simplify (/ (log re) (- (log base))) into (* -1 (/ (log re) (log base))) 20.849 * [backup-simplify]: Simplify (* -1 (* -1 (/ (log re) (log base)))) into (/ (log re) (log base)) 20.849 * [backup-simplify]: Simplify (/ (log re) (log base)) into (/ (log re) (log base)) 20.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 20.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 20.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 20.851 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (* -1 (/ (log re) (log (/ 1 base)))) (/ 0 (log (/ 1 base)))))) into 0 20.851 * [taylor]: Taking taylor expansion of 0 in im 20.851 * [backup-simplify]: Simplify 0 into 0 20.851 * [taylor]: Taking taylor expansion of 0 in base 20.851 * [backup-simplify]: Simplify 0 into 0 20.851 * [backup-simplify]: Simplify 0 into 0 20.852 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 20.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 20.853 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 20.853 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (/ (log re) (log (/ 1 base))) (/ 0 (log (/ 1 base)))))) into 0 20.853 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (log (/ 1 base))))) into 0 20.853 * [taylor]: Taking taylor expansion of 0 in base 20.853 * [backup-simplify]: Simplify 0 into 0 20.853 * [backup-simplify]: Simplify 0 into 0 20.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 20.854 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 20.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.855 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 20.856 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) 0) into (- (log base)) 20.856 * [backup-simplify]: Simplify (- (/ 0 (- (log base))) (+ (* (* -1 (/ (log re) (log base))) (/ 0 (- (log base)))))) into 0 20.856 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (* -1 (/ (log re) (log base))))) into 0 20.856 * [backup-simplify]: Simplify 0 into 0 20.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.858 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 20.858 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 20.859 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 20.860 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 20.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 20.861 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 20.861 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log (/ 1 base))) (+ (* (* -1 (/ (log re) (log (/ 1 base)))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into (* 1/2 (/ 1 (* (log (/ 1 base)) (pow im 2)))) 20.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (log (/ 1 base)) (pow im 2)))) in im 20.861 * [taylor]: Taking taylor expansion of 1/2 in im 20.861 * [backup-simplify]: Simplify 1/2 into 1/2 20.861 * [taylor]: Taking taylor expansion of (/ 1 (* (log (/ 1 base)) (pow im 2))) in im 20.861 * [taylor]: Taking taylor expansion of (* (log (/ 1 base)) (pow im 2)) in im 20.861 * [taylor]: Taking taylor expansion of (log (/ 1 base)) in im 20.861 * [taylor]: Taking taylor expansion of (/ 1 base) in im 20.861 * [taylor]: Taking taylor expansion of base in im 20.861 * [backup-simplify]: Simplify base into base 20.861 * [backup-simplify]: Simplify (/ 1 base) into (/ 1 base) 20.861 * [backup-simplify]: Simplify (log (/ 1 base)) into (log (/ 1 base)) 20.861 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.861 * [taylor]: Taking taylor expansion of im in im 20.862 * [backup-simplify]: Simplify 0 into 0 20.862 * [backup-simplify]: Simplify 1 into 1 20.862 * [backup-simplify]: Simplify (* 1 1) into 1 20.862 * [backup-simplify]: Simplify (* (log (/ 1 base)) 1) into (log (/ 1 base)) 20.862 * [backup-simplify]: Simplify (/ 1 (log (/ 1 base))) into (/ 1 (log (/ 1 base))) 20.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)))) into 0 20.863 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 base) 1)))) 1) into 0 20.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 20.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 20.865 * [backup-simplify]: Simplify (+ (* (log (/ 1 base)) 0) (+ (* 0 0) (* 0 1))) into 0 20.865 * [backup-simplify]: Simplify (+ (* (log (/ 1 base)) 0) (* 0 1)) into 0 20.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ 1 base))) (/ 0 (log (/ 1 base)))))) into 0 20.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ 1 base))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into 0 20.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log (/ 1 base)))))) into 0 20.866 * [taylor]: Taking taylor expansion of 0 in base 20.866 * [backup-simplify]: Simplify 0 into 0 20.866 * [backup-simplify]: Simplify 0 into 0 20.866 * [taylor]: Taking taylor expansion of 0 in base 20.866 * [backup-simplify]: Simplify 0 into 0 20.866 * [backup-simplify]: Simplify 0 into 0 20.867 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 20.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 20.869 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 base) 1)))) 2) into 0 20.869 * [backup-simplify]: Simplify (- (/ 0 (log (/ 1 base))) (+ (* (/ (log re) (log (/ 1 base))) (/ 0 (log (/ 1 base)))) (* 0 (/ 0 (log (/ 1 base)))))) into 0 20.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (log re) (log (/ 1 base)))))) into 0 20.870 * [taylor]: Taking taylor expansion of 0 in base 20.870 * [backup-simplify]: Simplify 0 into 0 20.870 * [backup-simplify]: Simplify 0 into 0 20.870 * [backup-simplify]: Simplify (/ (log (/ 1 re)) (log (/ 1 base))) into (/ (log (/ 1 re)) (log (/ 1 base))) 20.870 * [backup-simplify]: Simplify (* (log (* (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))))) (/ 1 (log (/ 1 (- base))))) into (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) 20.870 * [approximate]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in (re im base) around 0 20.870 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in base 20.870 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in base 20.870 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in base 20.870 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.870 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in base 20.870 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in base 20.870 * [taylor]: Taking taylor expansion of (/ -1 re) in base 20.870 * [taylor]: Taking taylor expansion of -1 in base 20.870 * [backup-simplify]: Simplify -1 into -1 20.871 * [taylor]: Taking taylor expansion of re in base 20.871 * [backup-simplify]: Simplify re into re 20.871 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.871 * [taylor]: Taking taylor expansion of (/ -1 re) in base 20.871 * [taylor]: Taking taylor expansion of -1 in base 20.871 * [backup-simplify]: Simplify -1 into -1 20.871 * [taylor]: Taking taylor expansion of re in base 20.871 * [backup-simplify]: Simplify re into re 20.871 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.871 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in base 20.871 * [taylor]: Taking taylor expansion of (/ -1 im) in base 20.871 * [taylor]: Taking taylor expansion of -1 in base 20.871 * [backup-simplify]: Simplify -1 into -1 20.871 * [taylor]: Taking taylor expansion of im in base 20.871 * [backup-simplify]: Simplify im into im 20.871 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.871 * [taylor]: Taking taylor expansion of (/ -1 im) in base 20.871 * [taylor]: Taking taylor expansion of -1 in base 20.871 * [backup-simplify]: Simplify -1 into -1 20.871 * [taylor]: Taking taylor expansion of im in base 20.871 * [backup-simplify]: Simplify im into im 20.871 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.871 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 20.871 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 20.871 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 20.872 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 20.872 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 20.872 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 20.872 * [backup-simplify]: Simplify (+ (* (/ -1 re) 0) (* 0 (/ -1 re))) into 0 20.872 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 20.872 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 20.872 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 20.872 * [backup-simplify]: Simplify (+ 0 0) into 0 20.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) into 0 20.873 * [backup-simplify]: Simplify (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) into (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 20.873 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 20.873 * [taylor]: Taking taylor expansion of (/ -1 base) in base 20.873 * [taylor]: Taking taylor expansion of -1 in base 20.873 * [backup-simplify]: Simplify -1 into -1 20.873 * [taylor]: Taking taylor expansion of base in base 20.873 * [backup-simplify]: Simplify 0 into 0 20.873 * [backup-simplify]: Simplify 1 into 1 20.873 * [backup-simplify]: Simplify (/ -1 1) into -1 20.873 * [backup-simplify]: Simplify (log -1) into (log -1) 20.874 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 20.874 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 20.875 * [backup-simplify]: Simplify (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log -1) (log base))) into (/ (log (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (- (log -1) (log base))) 20.875 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in im 20.875 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 20.875 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 20.875 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.875 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 20.875 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 20.875 * [taylor]: Taking taylor expansion of (/ -1 re) in im 20.875 * [taylor]: Taking taylor expansion of -1 in im 20.875 * [backup-simplify]: Simplify -1 into -1 20.875 * [taylor]: Taking taylor expansion of re in im 20.875 * [backup-simplify]: Simplify re into re 20.875 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.875 * [taylor]: Taking taylor expansion of (/ -1 re) in im 20.875 * [taylor]: Taking taylor expansion of -1 in im 20.875 * [backup-simplify]: Simplify -1 into -1 20.875 * [taylor]: Taking taylor expansion of re in im 20.875 * [backup-simplify]: Simplify re into re 20.875 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 20.875 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 20.875 * [taylor]: Taking taylor expansion of (/ -1 im) in im 20.875 * [taylor]: Taking taylor expansion of -1 in im 20.875 * [backup-simplify]: Simplify -1 into -1 20.875 * [taylor]: Taking taylor expansion of im in im 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 1 into 1 20.876 * [backup-simplify]: Simplify (/ -1 1) into -1 20.876 * [taylor]: Taking taylor expansion of (/ -1 im) in im 20.876 * [taylor]: Taking taylor expansion of -1 in im 20.876 * [backup-simplify]: Simplify -1 into -1 20.876 * [taylor]: Taking taylor expansion of im in im 20.876 * [backup-simplify]: Simplify 0 into 0 20.876 * [backup-simplify]: Simplify 1 into 1 20.876 * [backup-simplify]: Simplify (/ -1 1) into -1 20.876 * [backup-simplify]: Simplify (* -1 -1) into 1 20.877 * [backup-simplify]: Simplify (+ 0 1) into 1 20.877 * [backup-simplify]: Simplify (sqrt 1) into 1 20.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.878 * [backup-simplify]: Simplify (+ 0 0) into 0 20.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.879 * [backup-simplify]: Simplify (log 1) into 0 20.879 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 20.879 * [taylor]: Taking taylor expansion of (/ -1 base) in im 20.879 * [taylor]: Taking taylor expansion of -1 in im 20.879 * [backup-simplify]: Simplify -1 into -1 20.879 * [taylor]: Taking taylor expansion of base in im 20.879 * [backup-simplify]: Simplify base into base 20.879 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 20.879 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 20.880 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 20.880 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 20.880 * [backup-simplify]: Simplify (/ (- (log im)) (log (/ -1 base))) into (* -1 (/ (log im) (log (/ -1 base)))) 20.880 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in re 20.880 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 20.880 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 20.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.880 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 20.880 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 20.880 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.880 * [taylor]: Taking taylor expansion of -1 in re 20.880 * [backup-simplify]: Simplify -1 into -1 20.880 * [taylor]: Taking taylor expansion of re in re 20.880 * [backup-simplify]: Simplify 0 into 0 20.880 * [backup-simplify]: Simplify 1 into 1 20.881 * [backup-simplify]: Simplify (/ -1 1) into -1 20.881 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.881 * [taylor]: Taking taylor expansion of -1 in re 20.881 * [backup-simplify]: Simplify -1 into -1 20.881 * [taylor]: Taking taylor expansion of re in re 20.881 * [backup-simplify]: Simplify 0 into 0 20.881 * [backup-simplify]: Simplify 1 into 1 20.881 * [backup-simplify]: Simplify (/ -1 1) into -1 20.881 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 20.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.881 * [taylor]: Taking taylor expansion of -1 in re 20.881 * [backup-simplify]: Simplify -1 into -1 20.881 * [taylor]: Taking taylor expansion of im in re 20.881 * [backup-simplify]: Simplify im into im 20.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.881 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.881 * [taylor]: Taking taylor expansion of -1 in re 20.881 * [backup-simplify]: Simplify -1 into -1 20.881 * [taylor]: Taking taylor expansion of im in re 20.881 * [backup-simplify]: Simplify im into im 20.881 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.882 * [backup-simplify]: Simplify (* -1 -1) into 1 20.882 * [backup-simplify]: Simplify (+ 1 0) into 1 20.882 * [backup-simplify]: Simplify (sqrt 1) into 1 20.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.883 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.884 * [backup-simplify]: Simplify (+ 0 0) into 0 20.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.885 * [backup-simplify]: Simplify (log 1) into 0 20.885 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 20.885 * [taylor]: Taking taylor expansion of (/ -1 base) in re 20.885 * [taylor]: Taking taylor expansion of -1 in re 20.885 * [backup-simplify]: Simplify -1 into -1 20.885 * [taylor]: Taking taylor expansion of base in re 20.885 * [backup-simplify]: Simplify base into base 20.885 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 20.885 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 20.885 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 20.885 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 20.885 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ -1 base))) into (* -1 (/ (log re) (log (/ -1 base)))) 20.885 * [taylor]: Taking taylor expansion of (/ (log (hypot (/ -1 re) (/ -1 im))) (log (/ -1 base))) in re 20.885 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 20.885 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 20.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 20.886 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 20.886 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 20.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.886 * [taylor]: Taking taylor expansion of -1 in re 20.886 * [backup-simplify]: Simplify -1 into -1 20.886 * [taylor]: Taking taylor expansion of re in re 20.886 * [backup-simplify]: Simplify 0 into 0 20.886 * [backup-simplify]: Simplify 1 into 1 20.886 * [backup-simplify]: Simplify (/ -1 1) into -1 20.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 20.886 * [taylor]: Taking taylor expansion of -1 in re 20.886 * [backup-simplify]: Simplify -1 into -1 20.886 * [taylor]: Taking taylor expansion of re in re 20.886 * [backup-simplify]: Simplify 0 into 0 20.886 * [backup-simplify]: Simplify 1 into 1 20.886 * [backup-simplify]: Simplify (/ -1 1) into -1 20.886 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 20.886 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.886 * [taylor]: Taking taylor expansion of -1 in re 20.886 * [backup-simplify]: Simplify -1 into -1 20.886 * [taylor]: Taking taylor expansion of im in re 20.886 * [backup-simplify]: Simplify im into im 20.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re 20.887 * [taylor]: Taking taylor expansion of -1 in re 20.887 * [backup-simplify]: Simplify -1 into -1 20.887 * [taylor]: Taking taylor expansion of im in re 20.887 * [backup-simplify]: Simplify im into im 20.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 20.887 * [backup-simplify]: Simplify (* -1 -1) into 1 20.887 * [backup-simplify]: Simplify (+ 1 0) into 1 20.887 * [backup-simplify]: Simplify (sqrt 1) into 1 20.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.889 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 20.889 * [backup-simplify]: Simplify (+ 0 0) into 0 20.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 20.890 * [backup-simplify]: Simplify (log 1) into 0 20.890 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in re 20.890 * [taylor]: Taking taylor expansion of (/ -1 base) in re 20.890 * [taylor]: Taking taylor expansion of -1 in re 20.890 * [backup-simplify]: Simplify -1 into -1 20.890 * [taylor]: Taking taylor expansion of base in re 20.890 * [backup-simplify]: Simplify base into base 20.890 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 20.890 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 20.890 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 20.890 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 20.890 * [backup-simplify]: Simplify (/ (- (log re)) (log (/ -1 base))) into (* -1 (/ (log re) (log (/ -1 base)))) 20.891 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ -1 base)))) in im 20.891 * [taylor]: Taking taylor expansion of -1 in im 20.891 * [backup-simplify]: Simplify -1 into -1 20.891 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ -1 base))) in im 20.891 * [taylor]: Taking taylor expansion of (log re) in im 20.891 * [taylor]: Taking taylor expansion of re in im 20.891 * [backup-simplify]: Simplify re into re 20.891 * [backup-simplify]: Simplify (log re) into (log re) 20.891 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 20.891 * [taylor]: Taking taylor expansion of (/ -1 base) in im 20.891 * [taylor]: Taking taylor expansion of -1 in im 20.891 * [backup-simplify]: Simplify -1 into -1 20.891 * [taylor]: Taking taylor expansion of base in im 20.891 * [backup-simplify]: Simplify base into base 20.891 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 20.891 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 20.891 * [backup-simplify]: Simplify (/ (log re) (log (/ -1 base))) into (/ (log re) (log (/ -1 base))) 20.891 * [backup-simplify]: Simplify (* -1 (/ (log re) (log (/ -1 base)))) into (* -1 (/ (log re) (log (/ -1 base)))) 20.891 * [taylor]: Taking taylor expansion of (* -1 (/ (log re) (log (/ -1 base)))) in base 20.891 * [taylor]: Taking taylor expansion of -1 in base 20.891 * [backup-simplify]: Simplify -1 into -1 20.891 * [taylor]: Taking taylor expansion of (/ (log re) (log (/ -1 base))) in base 20.891 * [taylor]: Taking taylor expansion of (log re) in base 20.891 * [taylor]: Taking taylor expansion of re in base 20.891 * [backup-simplify]: Simplify re into re 20.891 * [backup-simplify]: Simplify (log re) into (log re) 20.891 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in base 20.891 * [taylor]: Taking taylor expansion of (/ -1 base) in base 20.891 * [taylor]: Taking taylor expansion of -1 in base 20.891 * [backup-simplify]: Simplify -1 into -1 20.891 * [taylor]: Taking taylor expansion of base in base 20.891 * [backup-simplify]: Simplify 0 into 0 20.891 * [backup-simplify]: Simplify 1 into 1 20.891 * [backup-simplify]: Simplify (/ -1 1) into -1 20.892 * [backup-simplify]: Simplify (log -1) into (log -1) 20.892 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 20.893 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 20.893 * [backup-simplify]: Simplify (/ (log re) (- (log -1) (log base))) into (/ (log re) (- (log -1) (log base))) 20.893 * [backup-simplify]: Simplify (* -1 (/ (log re) (- (log -1) (log base)))) into (* -1 (/ (log re) (- (log -1) (log base)))) 20.894 * [backup-simplify]: Simplify (* -1 (/ (log re) (- (log -1) (log base)))) into (* -1 (/ (log re) (- (log -1) (log base)))) 20.894 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 20.894 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 20.895 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 20.895 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (* -1 (/ (log re) (log (/ -1 base)))) (/ 0 (log (/ -1 base)))))) into 0 20.895 * [taylor]: Taking taylor expansion of 0 in im 20.895 * [backup-simplify]: Simplify 0 into 0 20.895 * [taylor]: Taking taylor expansion of 0 in base 20.895 * [backup-simplify]: Simplify 0 into 0 20.895 * [backup-simplify]: Simplify 0 into 0 20.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 20.896 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 20.896 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 20.896 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (/ (log re) (log (/ -1 base))) (/ 0 (log (/ -1 base)))))) into 0 20.897 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (log (/ -1 base))))) into 0 20.897 * [taylor]: Taking taylor expansion of 0 in base 20.897 * [backup-simplify]: Simplify 0 into 0 20.897 * [backup-simplify]: Simplify 0 into 0 20.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 20.898 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 20.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.899 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 20.900 * [backup-simplify]: Simplify (+ (* (- 1) (log base)) (log -1)) into (- (log -1) (log base)) 20.900 * [backup-simplify]: Simplify (- (/ 0 (- (log -1) (log base))) (+ (* (/ (log re) (- (log -1) (log base))) (/ 0 (- (log -1) (log base)))))) into 0 20.901 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (log re) (- (log -1) (log base))))) into 0 20.901 * [backup-simplify]: Simplify 0 into 0 20.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 20.903 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 20.903 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 20.904 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 20.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 20.905 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 20.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 20.906 * [backup-simplify]: Simplify (- (/ (/ 1/2 (pow im 2)) (log (/ -1 base))) (+ (* (* -1 (/ (log re) (log (/ -1 base)))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into (* 1/2 (/ 1 (* (pow im 2) (log (/ -1 base))))) 20.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow im 2) (log (/ -1 base))))) in im 20.906 * [taylor]: Taking taylor expansion of 1/2 in im 20.906 * [backup-simplify]: Simplify 1/2 into 1/2 20.906 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (log (/ -1 base)))) in im 20.906 * [taylor]: Taking taylor expansion of (* (pow im 2) (log (/ -1 base))) in im 20.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 20.906 * [taylor]: Taking taylor expansion of im in im 20.906 * [backup-simplify]: Simplify 0 into 0 20.906 * [backup-simplify]: Simplify 1 into 1 20.906 * [taylor]: Taking taylor expansion of (log (/ -1 base)) in im 20.906 * [taylor]: Taking taylor expansion of (/ -1 base) in im 20.906 * [taylor]: Taking taylor expansion of -1 in im 20.906 * [backup-simplify]: Simplify -1 into -1 20.906 * [taylor]: Taking taylor expansion of base in im 20.906 * [backup-simplify]: Simplify base into base 20.907 * [backup-simplify]: Simplify (/ -1 base) into (/ -1 base) 20.907 * [backup-simplify]: Simplify (log (/ -1 base)) into (log (/ -1 base)) 20.907 * [backup-simplify]: Simplify (* 1 1) into 1 20.907 * [backup-simplify]: Simplify (* 1 (log (/ -1 base))) into (log (/ -1 base)) 20.907 * [backup-simplify]: Simplify (/ 1 (log (/ -1 base))) into (/ 1 (log (/ -1 base))) 20.907 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)))) into 0 20.907 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 20.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 20.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.909 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ -1 base) 1)))) 1) into 0 20.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (/ -1 base))))) into 0 20.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (/ -1 base)))) into 0 20.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ -1 base))) (/ 0 (log (/ -1 base)))))) into 0 20.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (log (/ -1 base))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into 0 20.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (log (/ -1 base)))))) into 0 20.911 * [taylor]: Taking taylor expansion of 0 in base 20.911 * [backup-simplify]: Simplify 0 into 0 20.911 * [backup-simplify]: Simplify 0 into 0 20.911 * [taylor]: Taking taylor expansion of 0 in base 20.911 * [backup-simplify]: Simplify 0 into 0 20.911 * [backup-simplify]: Simplify 0 into 0 20.912 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 20.912 * [backup-simplify]: Simplify (- (/ 0 base) (+ (* (/ -1 base) (/ 0 base)) (* 0 (/ 0 base)))) into 0 20.913 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ -1 base) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ -1 base) 1)))) 2) into 0 20.914 * [backup-simplify]: Simplify (- (/ 0 (log (/ -1 base))) (+ (* (/ (log re) (log (/ -1 base))) (/ 0 (log (/ -1 base)))) (* 0 (/ 0 (log (/ -1 base)))))) into 0 20.914 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (log re) (log (/ -1 base)))))) into 0 20.914 * [taylor]: Taking taylor expansion of 0 in base 20.914 * [backup-simplify]: Simplify 0 into 0 20.914 * [backup-simplify]: Simplify 0 into 0 20.915 * [backup-simplify]: Simplify (* -1 (/ (log (/ 1 (- re))) (- (log -1) (log (/ 1 (- base)))))) into (* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))) 20.915 * * * [progress]: simplifying candidates 20.915 * * * * [progress]: [ 1 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 2 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 3 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 4 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 5 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 6 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 7 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 8 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 9 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 10 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 11 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 12 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 13 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 14 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 15 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 16 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 17 / 1457 ] simplifiying candidate # 20.915 * * * * [progress]: [ 18 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 19 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 20 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 21 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 22 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 23 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 24 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 25 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 26 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 27 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 28 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 29 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 30 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 31 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 32 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 33 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 34 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 35 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 36 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 37 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 38 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 39 / 1457 ] simplifiying candidate # 20.916 * * * * [progress]: [ 40 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 41 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 42 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 43 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 44 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 45 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 46 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 47 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 48 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 49 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 50 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 51 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 52 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 53 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 54 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 55 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 56 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 57 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 58 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 59 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 60 / 1457 ] simplifiying candidate # 20.917 * * * * [progress]: [ 61 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 62 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 63 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 64 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 65 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 66 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 67 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 68 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 69 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 70 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 71 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 72 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 73 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 74 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 75 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 76 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 77 / 1457 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) (/ 1 (log base))))> 20.918 * * * * [progress]: [ 78 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 79 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 80 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 81 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 82 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 83 / 1457 ] simplifiying candidate # 20.918 * * * * [progress]: [ 84 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 85 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 86 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 87 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 88 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 89 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 90 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 91 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 92 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 93 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 94 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 95 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 96 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 97 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 98 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 99 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 100 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 101 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 102 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 103 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 104 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 105 / 1457 ] simplifiying candidate # 20.919 * * * * [progress]: [ 106 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 107 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 108 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 109 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 110 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 111 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 112 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 113 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 114 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 115 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 116 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 117 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 118 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 119 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 120 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 121 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 122 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 123 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 124 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 125 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 126 / 1457 ] simplifiying candidate # 20.920 * * * * [progress]: [ 127 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 128 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 129 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 130 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 131 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 132 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 133 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 134 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 135 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 136 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 137 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 138 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 139 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 140 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 141 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 142 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 143 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 144 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 145 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 146 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 147 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 148 / 1457 ] simplifiying candidate # 20.921 * * * * [progress]: [ 149 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 150 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 151 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 152 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 153 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 154 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 155 / 1457 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))))> 20.922 * * * * [progress]: [ 156 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 157 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 158 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 159 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 160 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 161 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 162 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 163 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 164 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 165 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 166 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 167 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 168 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 169 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 170 / 1457 ] simplifiying candidate # 20.922 * * * * [progress]: [ 171 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 172 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 173 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 174 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 175 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 176 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 177 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 178 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 179 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 180 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 181 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 182 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 183 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 184 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 185 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 186 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 187 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 188 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 189 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 190 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 191 / 1457 ] simplifiying candidate # 20.923 * * * * [progress]: [ 192 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 193 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 194 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 195 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 196 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 197 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 198 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 199 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 200 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 201 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 202 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 203 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 204 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 205 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 206 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 207 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 208 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 209 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 210 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 211 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 212 / 1457 ] simplifiying candidate # 20.924 * * * * [progress]: [ 213 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 214 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 215 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 216 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 217 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 218 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 219 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 220 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 221 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 222 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 223 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 224 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 225 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 226 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 227 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 228 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 229 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 230 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 231 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 232 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 233 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 234 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 235 / 1457 ] simplifiying candidate # 20.925 * * * * [progress]: [ 236 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 237 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 238 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 239 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 240 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 241 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 242 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 243 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 244 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 245 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 246 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 247 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 248 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 249 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 250 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 251 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 252 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 253 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 254 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 255 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 256 / 1457 ] simplifiying candidate # 20.926 * * * * [progress]: [ 257 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 258 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 259 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 260 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 261 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 262 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 263 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 264 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 265 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 266 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 267 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 268 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 269 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 270 / 1457 ] simplifiying candidate # 20.927 * * * * [progress]: [ 271 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 272 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 273 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 274 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 275 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 276 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 277 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 278 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 279 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 280 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 281 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 282 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 283 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 284 / 1457 ] simplifiying candidate # 20.928 * * * * [progress]: [ 285 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 286 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 287 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 288 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 289 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 290 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 291 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 292 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 293 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 294 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 295 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 296 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 297 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 298 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 299 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 300 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 301 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 302 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 303 / 1457 ] simplifiying candidate # 20.929 * * * * [progress]: [ 304 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 305 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 306 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 307 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 308 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 309 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 310 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 311 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 312 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 313 / 1457 ] simplifiying candidate # 20.930 * * * * [progress]: [ 314 / 1457 ] simplifiying candidate # 20.934 * * * * [progress]: [ 315 / 1457 ] simplifiying candidate # 20.934 * * * * [progress]: [ 316 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 317 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 318 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 319 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 320 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 321 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 322 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 323 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 324 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 325 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 326 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 327 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 328 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 329 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 330 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 331 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 332 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 333 / 1457 ] simplifiying candidate # 20.935 * * * * [progress]: [ 334 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 335 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 336 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 337 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 338 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 339 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 340 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 341 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 342 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 343 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 344 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 345 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 346 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 347 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 348 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 349 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 350 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 351 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 352 / 1457 ] simplifiying candidate # 20.936 * * * * [progress]: [ 353 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 354 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 355 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 356 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 357 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 358 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 359 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 360 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 361 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 362 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 363 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 364 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 365 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 366 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 367 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 368 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 369 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 370 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 371 / 1457 ] simplifiying candidate # 20.937 * * * * [progress]: [ 372 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 373 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 374 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 375 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 376 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 377 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 378 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 379 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 380 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 381 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 382 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 383 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 384 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 385 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 386 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 387 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 388 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 389 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 390 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 391 / 1457 ] simplifiying candidate # 20.938 * * * * [progress]: [ 392 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 393 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 394 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 395 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 396 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 397 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 398 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 399 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 400 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 401 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 402 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 403 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 404 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 405 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 406 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 407 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 408 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 409 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 410 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 411 / 1457 ] simplifiying candidate # 20.939 * * * * [progress]: [ 412 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 413 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 414 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 415 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 416 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 417 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 418 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 419 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 420 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 421 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 422 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 423 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 424 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 425 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 426 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 427 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 428 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 429 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 430 / 1457 ] simplifiying candidate # 20.940 * * * * [progress]: [ 431 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 432 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 433 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 434 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 435 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 436 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 437 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 438 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 439 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 440 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 441 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 442 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 443 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 444 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 445 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 446 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 447 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 448 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 449 / 1457 ] simplifiying candidate # 20.941 * * * * [progress]: [ 450 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 451 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 452 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 453 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 454 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 455 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 456 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 457 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 458 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 459 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 460 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 461 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 462 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 463 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 464 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 465 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 466 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 467 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 468 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 469 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 470 / 1457 ] simplifiying candidate # 20.942 * * * * [progress]: [ 471 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 472 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 473 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 474 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 475 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 476 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 477 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 478 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 479 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 480 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 481 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 482 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 483 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 484 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 485 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 486 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 487 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 488 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 489 / 1457 ] simplifiying candidate # 20.943 * * * * [progress]: [ 490 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 491 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 492 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 493 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 494 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 495 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 496 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 497 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 498 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 499 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 500 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 501 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 502 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 503 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 504 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 505 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 506 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 507 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 508 / 1457 ] simplifiying candidate # 20.944 * * * * [progress]: [ 509 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 510 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 511 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 512 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 513 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 514 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 515 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 516 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 517 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 518 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 519 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 520 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 521 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 522 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 523 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 524 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 525 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 526 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 527 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 528 / 1457 ] simplifiying candidate # 20.945 * * * * [progress]: [ 529 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 530 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 531 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 532 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 533 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 534 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 535 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 536 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 537 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 538 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 539 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 540 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 541 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 542 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 543 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 544 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 545 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 546 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 547 / 1457 ] simplifiying candidate # 20.946 * * * * [progress]: [ 548 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 549 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 550 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 551 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 552 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 553 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 554 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 555 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 556 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 557 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 558 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 559 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 560 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 561 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 562 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 563 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 564 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 565 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 566 / 1457 ] simplifiying candidate # 20.947 * * * * [progress]: [ 567 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 568 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 569 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 570 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 571 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 572 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 573 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 574 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 575 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 576 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 577 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 578 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 579 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 580 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 581 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 582 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 583 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 584 / 1457 ] simplifiying candidate # 20.948 * * * * [progress]: [ 585 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 586 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 587 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 588 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 589 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 590 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 591 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 592 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 593 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 594 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 595 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 596 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 597 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 598 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 599 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 600 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 601 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 602 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 603 / 1457 ] simplifiying candidate # 20.949 * * * * [progress]: [ 604 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 605 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 606 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 607 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 608 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 609 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 610 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 611 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 612 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 613 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 614 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 615 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 616 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 617 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 618 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 619 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 620 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 621 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 622 / 1457 ] simplifiying candidate # 20.950 * * * * [progress]: [ 623 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 624 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 625 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 626 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 627 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 628 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 629 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 630 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 631 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 632 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 633 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 634 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 635 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 636 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 637 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 638 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 639 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 640 / 1457 ] simplifiying candidate # 20.951 * * * * [progress]: [ 641 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 642 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 643 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 644 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 645 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 646 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 647 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 648 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 649 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 650 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 651 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 652 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 653 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 654 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 655 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 656 / 1457 ] simplifiying candidate # 20.952 * * * * [progress]: [ 657 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 658 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 659 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 660 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 661 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 662 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 663 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 664 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 665 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 666 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 667 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 668 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 669 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 670 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 671 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 672 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 673 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 674 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 675 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 676 / 1457 ] simplifiying candidate # 20.953 * * * * [progress]: [ 677 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 678 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 679 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 680 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 681 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 682 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 683 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 684 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 685 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 686 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 687 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 688 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 689 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 690 / 1457 ] simplifiying candidate # 20.954 * * * * [progress]: [ 691 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 692 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 693 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 694 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 695 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 696 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 697 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 698 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 699 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 700 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 701 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 702 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 703 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 704 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 705 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 706 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 707 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 708 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 709 / 1457 ] simplifiying candidate # 20.955 * * * * [progress]: [ 710 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 711 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 712 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 713 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 714 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 715 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 716 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 717 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 718 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 719 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 720 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 721 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 722 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 723 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 724 / 1457 ] simplifiying candidate # 20.956 * * * * [progress]: [ 725 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 726 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 727 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 728 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 729 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 730 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 731 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 732 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 733 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 734 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 735 / 1457 ] simplifiying candidate # 20.957 * * * * [progress]: [ 736 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 737 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 738 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 739 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 740 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 741 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 742 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 743 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 744 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 745 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 746 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 747 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 748 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 749 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 750 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 751 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 752 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 753 / 1457 ] simplifiying candidate # 20.958 * * * * [progress]: [ 754 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 755 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 756 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 757 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 758 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 759 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 760 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 761 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 762 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 763 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 764 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 765 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 766 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 767 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 768 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 769 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 770 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 771 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 772 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 773 / 1457 ] simplifiying candidate # 20.959 * * * * [progress]: [ 774 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 775 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 776 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 777 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 778 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 779 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 780 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 781 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 782 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 783 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 784 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 785 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 786 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 787 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 788 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 789 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 790 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 791 / 1457 ] simplifiying candidate # 20.960 * * * * [progress]: [ 792 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 793 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 794 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 795 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 796 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 797 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 798 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 799 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 800 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 801 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 802 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 803 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 804 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 805 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 806 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 807 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 808 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 809 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 810 / 1457 ] simplifiying candidate # 20.961 * * * * [progress]: [ 811 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 812 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 813 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 814 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 815 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 816 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 817 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 818 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 819 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 820 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 821 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 822 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 823 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 824 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 825 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 826 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 827 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 828 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 829 / 1457 ] simplifiying candidate # 20.962 * * * * [progress]: [ 830 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 831 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 832 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 833 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 834 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 835 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 836 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 837 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 838 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 839 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 840 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 841 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 842 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 843 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 844 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 845 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 846 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 847 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 848 / 1457 ] simplifiying candidate # 20.963 * * * * [progress]: [ 849 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 850 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 851 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 852 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 853 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 854 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 855 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 856 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 857 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 858 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 859 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 860 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 861 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 862 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 863 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 864 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 865 / 1457 ] simplifiying candidate # 20.964 * * * * [progress]: [ 866 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 867 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 868 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 869 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 870 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 871 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 872 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 873 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 874 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 875 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 876 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 877 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 878 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 879 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 880 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 881 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 882 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 883 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 884 / 1457 ] simplifiying candidate # 20.965 * * * * [progress]: [ 885 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 886 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 887 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 888 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 889 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 890 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 891 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 892 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 893 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 894 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 895 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 896 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 897 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 898 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 899 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 900 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 901 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 902 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 903 / 1457 ] simplifiying candidate # 20.966 * * * * [progress]: [ 904 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 905 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 906 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 907 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 908 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 909 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 910 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 911 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 912 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 913 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 914 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 915 / 1457 ] simplifiying candidate # 20.967 * * * * [progress]: [ 916 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 917 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 918 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 919 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 920 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 921 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 922 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 923 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 924 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 925 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 926 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 927 / 1457 ] simplifiying candidate # 20.968 * * * * [progress]: [ 928 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 929 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 930 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 931 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 932 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 933 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 934 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 935 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 936 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 937 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 938 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 939 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 940 / 1457 ] simplifiying candidate # 20.969 * * * * [progress]: [ 941 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 942 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 943 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 944 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 945 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 946 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 947 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 948 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 949 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 950 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 951 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 952 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 953 / 1457 ] simplifiying candidate # 20.970 * * * * [progress]: [ 954 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 955 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 956 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 957 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 958 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 959 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 960 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 961 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 962 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 963 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 964 / 1457 ] simplifiying candidate # 20.971 * * * * [progress]: [ 965 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 966 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 967 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 968 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 969 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 970 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 971 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 972 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 973 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 974 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 975 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 976 / 1457 ] simplifiying candidate # 20.972 * * * * [progress]: [ 977 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 978 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 979 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 980 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 981 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 982 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 983 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 984 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 985 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 986 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 987 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 988 / 1457 ] simplifiying candidate # 20.973 * * * * [progress]: [ 989 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 990 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 991 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 992 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 993 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 994 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 995 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 996 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 997 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 998 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 999 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 1000 / 1457 ] simplifiying candidate # 20.974 * * * * [progress]: [ 1001 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1002 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1003 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1004 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1005 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1006 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1007 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1008 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1009 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1010 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1011 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1012 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1013 / 1457 ] simplifiying candidate # 20.975 * * * * [progress]: [ 1014 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1015 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1016 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1017 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1018 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1019 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1020 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1021 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1022 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1023 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1024 / 1457 ] simplifiying candidate # 20.976 * * * * [progress]: [ 1025 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1026 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1027 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1028 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1029 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1030 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1031 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1032 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1033 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1034 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1035 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1036 / 1457 ] simplifiying candidate # 20.977 * * * * [progress]: [ 1037 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1038 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1039 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1040 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1041 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1042 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1043 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1044 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1045 / 1457 ] simplifiying candidate # 20.978 * * * * [progress]: [ 1046 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1047 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1048 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1049 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1050 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1051 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1052 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1053 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1054 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1055 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1056 / 1457 ] simplifiying candidate # 20.979 * * * * [progress]: [ 1057 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1058 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1059 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1060 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1061 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1062 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1063 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1064 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1065 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1066 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1067 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1068 / 1457 ] simplifiying candidate # 20.980 * * * * [progress]: [ 1069 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1070 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1071 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1072 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1073 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1074 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1075 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1076 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1077 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1078 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1079 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1080 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1081 / 1457 ] simplifiying candidate # 20.981 * * * * [progress]: [ 1082 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1083 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1084 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1085 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1086 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1087 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1088 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1089 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1090 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1091 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1092 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1093 / 1457 ] simplifiying candidate # 20.982 * * * * [progress]: [ 1094 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1095 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1096 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1097 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1098 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1099 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1100 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1101 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1102 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1103 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1104 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1105 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1106 / 1457 ] simplifiying candidate # 20.983 * * * * [progress]: [ 1107 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1108 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1109 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1110 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1111 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1112 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1113 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1114 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1115 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1116 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1117 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1118 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1119 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1120 / 1457 ] simplifiying candidate # 20.984 * * * * [progress]: [ 1121 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1122 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1123 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1124 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1125 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1126 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1127 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1128 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1129 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1130 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1131 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1132 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1133 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1134 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1135 / 1457 ] simplifiying candidate # 20.985 * * * * [progress]: [ 1136 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1137 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1138 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1139 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1140 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1141 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1142 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1143 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1144 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1145 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1146 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1147 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1148 / 1457 ] simplifiying candidate # 20.986 * * * * [progress]: [ 1149 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1150 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1151 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1152 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1153 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1154 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1155 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1156 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1157 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1158 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1159 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1160 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1161 / 1457 ] simplifiying candidate # 20.987 * * * * [progress]: [ 1162 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1163 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1164 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1165 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1166 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1167 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1168 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1169 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1170 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1171 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1172 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1173 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1174 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1175 / 1457 ] simplifiying candidate # 20.988 * * * * [progress]: [ 1176 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1177 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1178 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1179 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1180 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1181 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1182 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1183 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1184 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1185 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1186 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1187 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1188 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1189 / 1457 ] simplifiying candidate # 20.989 * * * * [progress]: [ 1190 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1191 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1192 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1193 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1194 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1195 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1196 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1197 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1198 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1199 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1200 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1201 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1202 / 1457 ] simplifiying candidate # 20.990 * * * * [progress]: [ 1203 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1204 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1205 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1206 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1207 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1208 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1209 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1210 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1211 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1212 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1213 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1214 / 1457 ] simplifiying candidate # 20.991 * * * * [progress]: [ 1215 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1216 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1217 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1218 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1219 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1220 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1221 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1222 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1223 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1224 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1225 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1226 / 1457 ] simplifiying candidate # 20.992 * * * * [progress]: [ 1227 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1228 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1229 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1230 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1231 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1232 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1233 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1234 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1235 / 1457 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))))) (/ 1 (log base))))> 20.993 * * * * [progress]: [ 1236 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1237 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1238 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1239 / 1457 ] simplifiying candidate # 20.993 * * * * [progress]: [ 1240 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1241 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1242 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1243 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1244 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1245 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1246 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1247 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1248 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1249 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1250 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1251 / 1457 ] simplifiying candidate # 20.994 * * * * [progress]: [ 1252 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1253 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1254 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1255 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1256 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1257 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1258 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1259 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1260 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1261 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1262 / 1457 ] simplifiying candidate # 20.995 * * * * [progress]: [ 1263 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1264 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1265 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1266 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1267 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1268 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1269 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1270 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1271 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1272 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1273 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1274 / 1457 ] simplifiying candidate # 20.996 * * * * [progress]: [ 1275 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1276 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1277 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1278 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1279 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1280 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1281 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1282 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1283 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1284 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1285 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1286 / 1457 ] simplifiying candidate # 20.997 * * * * [progress]: [ 1287 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1288 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1289 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1290 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1291 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1292 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1293 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1294 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1295 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1296 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1297 / 1457 ] simplifiying candidate # 20.998 * * * * [progress]: [ 1298 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1299 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1300 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1301 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1302 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1303 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1304 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1305 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1306 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1307 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1308 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1309 / 1457 ] simplifiying candidate # 20.999 * * * * [progress]: [ 1310 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1311 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1312 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1313 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1314 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1315 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1316 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1317 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1318 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1319 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1320 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1321 / 1457 ] simplifiying candidate # 21.000 * * * * [progress]: [ 1322 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1323 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1324 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1325 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1326 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1327 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1328 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1329 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1330 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1331 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1332 / 1457 ] simplifiying candidate # 21.001 * * * * [progress]: [ 1333 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1334 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1335 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1336 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1337 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1338 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1339 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1340 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1341 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1342 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1343 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1344 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1345 / 1457 ] simplifiying candidate # 21.002 * * * * [progress]: [ 1346 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1347 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1348 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1349 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1350 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1351 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1352 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1353 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1354 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1355 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1356 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1357 / 1457 ] simplifiying candidate # 21.003 * * * * [progress]: [ 1358 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1359 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1360 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1361 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1362 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1363 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1364 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1365 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1366 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1367 / 1457 ] simplifiying candidate # 21.004 * * * * [progress]: [ 1368 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1369 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1370 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1371 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1372 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1373 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1374 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1375 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1376 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1377 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1378 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1379 / 1457 ] simplifiying candidate # 21.005 * * * * [progress]: [ 1380 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1381 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1382 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1383 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1384 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1385 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1386 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1387 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1388 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1389 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1390 / 1457 ] simplifiying candidate # 21.006 * * * * [progress]: [ 1391 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1392 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1393 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1394 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1395 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1396 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1397 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1398 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1399 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1400 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1401 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1402 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1403 / 1457 ] simplifiying candidate # 21.007 * * * * [progress]: [ 1404 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1405 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1406 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1407 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1408 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1409 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1410 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1411 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1412 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1413 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1414 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1415 / 1457 ] simplifiying candidate # 21.008 * * * * [progress]: [ 1416 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1417 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1418 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1419 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1420 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1421 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1422 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1423 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1424 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1425 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1426 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1427 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1428 / 1457 ] simplifiying candidate # 21.009 * * * * [progress]: [ 1429 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1430 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1431 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1432 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1433 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1434 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1435 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1436 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1437 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1438 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1439 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1440 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1441 / 1457 ] simplifiying candidate # 21.010 * * * * [progress]: [ 1442 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1443 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1444 / 1457 ] simplifiying candidate #real (real->posit16 (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))))))> 21.011 * * * * [progress]: [ 1445 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1446 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1447 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1448 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1449 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1450 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1451 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1452 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1453 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1454 / 1457 ] simplifiying candidate # 21.011 * * * * [progress]: [ 1455 / 1457 ] simplifiying candidate # 21.012 * * * * [progress]: [ 1456 / 1457 ] simplifiying candidate # 21.012 * * * * [progress]: [ 1457 / 1457 ] simplifiying candidate # 21.038 * [simplify]: Simplifying: (expm1 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log1p (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (exp (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* 1 1) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) 1) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (expm1 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log1p (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (exp (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* 1 1) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) 1) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (expm1 (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log1p (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (+ (+ 1/2 1/2) (+ 1/2 1/2)) (+ (+ 1/2 1/2) (+ 1/2 (/ 1 2))) (+ (+ 1/2 1/2) (+ (/ 1 2) 1/2)) (+ (+ 1/2 1/2) (+ (/ 1 2) (/ 1 2))) (+ (+ 1/2 1/2) (* 2 1/2)) (+ (+ 1/2 1/2) (* 2 (/ 1 2))) (+ (+ 1/2 (/ 1 2)) (+ 1/2 1/2)) (+ (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2))) (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) 1/2)) (+ (+ 1/2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (+ (+ 1/2 (/ 1 2)) (* 2 1/2)) (+ (+ 1/2 (/ 1 2)) (* 2 (/ 1 2))) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (+ (+ (/ 1/2 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (+ (+ (/ 1 2) 1/2) (+ 1/2 1/2)) (+ (+ (/ 1 2) 1/2) (+ 1/2 (/ 1 2))) (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) 1/2)) (+ (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2))) (+ (+ (/ 1 2) 1/2) (* 2 1/2)) (+ (+ (/ 1 2) 1/2) (* 2 (/ 1 2))) (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 1/2)) (+ (+ (/ 1 2) (/ 1 2)) (+ 1/2 (/ 1 2))) (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) 1/2)) (+ (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (+ (+ (/ 1 2) (/ 1 2)) (* 2 1/2)) (+ (+ (/ 1 2) (/ 1 2)) (* 2 (/ 1 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (+ (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ 2 (+ 1 1)) (+ 2 2) (+ 2 (+ 1 1)) (+ 2 (* 2 1)) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) 2) (+ (+ 1 1) (+ 1 1)) (+ (+ 1 1) (* 2 1)) (+ 1 1) (+ 1 1) (+ (* 2 1/2) (+ 1/2 1/2)) (+ (* 2 1/2) (+ 1/2 (/ 1 2))) (+ (* 2 1/2) (+ (/ 1 2) 1/2)) (+ (* 2 1/2) (+ (/ 1 2) (/ 1 2))) (+ (* 2 1/2) (* 2 1/2)) (+ (* 2 1/2) (* 2 (/ 1 2))) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) 2) (+ (* 2 1) (+ 1 1)) (+ (* 2 1) (* 2 1)) (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (* 2 (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (* 2 (/ 1/2 2)) (* 2 (/ 1/2 2))) (+ (* 2 (/ 1/2 2)) (* 2 (/ (/ 1 2) 2))) (+ (* 2 (/ 1 2)) (+ 1/2 1/2)) (+ (* 2 (/ 1 2)) (+ 1/2 (/ 1 2))) (+ (* 2 (/ 1 2)) (+ (/ 1 2) 1/2)) (+ (* 2 (/ 1 2)) (+ (/ 1 2) (/ 1 2))) (+ (* 2 (/ 1 2)) (* 2 1/2)) (+ (* 2 (/ 1 2)) (* 2 (/ 1 2))) (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ 1/2 2))) (+ (* 2 (/ (/ 1 2) 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2))) (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2))) (+ (* 2 (/ (/ 1 2) 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ 1/2 2))) (+ (* 2 (/ (/ 1 2) 2)) (* 2 (/ (/ 1 2) 2))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ 1 1) (+ (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))))) (+ (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (+ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))))) (+ (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (exp (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (cbrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (cbrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (cbrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* 1 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* 1 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (* (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt 1) (sqrt 1)) (* (sqrt 1) (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* 1 1) (* 1 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt 1)) (* (sqrt (sqrt (hypot re im))) (sqrt 1))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) 1) (* (sqrt (sqrt (hypot re im))) 1)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt 1) (sqrt 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* 1 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* 1 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 (+ 1/2 1/2)) (* 2 (+ 1/2 (/ 1 2))) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 (+ (/ 1/2 2) (/ 1/2 2))) (* 2 (+ (/ 1/2 2) (/ (/ 1 2) 2))) (* 2 (+ (/ 1 2) 1/2)) (* 2 (+ (/ 1 2) (/ 1 2))) (* 2 (+ (/ (/ 1 2) 2) (/ 1/2 2))) (* 2 (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))) (* 2 1/2) (* 2 1) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* 2 2) (* 2 (+ 1 1)) (* 2 (+ 1 1)) (* 2 1) (* 2 1) (* 2 (* 2 1/2)) (* 2 (* 2 1)) (* 2 (* 2 (/ 1/2 2))) (* 2 (* 2 (/ 1 2))) (* 2 (* 2 (/ (/ 1 2) 2))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt 1)))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt 1))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt 1)) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 1) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (cbrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (real->posit16 (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (expm1 (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (log1p (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) (+ (log (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (- (log (log base)))) (+ (log (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (- 0 (log (log base)))) (+ (log (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (- (log 1) (log (log base)))) (+ (log (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log (/ 1 (log base)))) (log (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (exp (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (* (* (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))) (* (* (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base)))) (* (cbrt (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (cbrt (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))))) (cbrt (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (* (* (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (sqrt (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (sqrt (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (* (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (sqrt (/ 1 (log base)))) (* (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (sqrt (/ 1 (log base)))) (* (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (sqrt 1) (sqrt (log base)))) (* (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ (sqrt 1) (sqrt (log base)))) (* (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ 1 (sqrt (log base)))) (* (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ 1 (sqrt (log base)))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (cbrt (/ 1 (log base))) (cbrt (/ 1 (log base))))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt (/ 1 (log base)))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (log base)) (cbrt (log base))))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (log base)))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (sqrt 1) 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (sqrt 1) (* (cbrt (log base)) (cbrt (log base))))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (sqrt 1) (sqrt (log base)))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ (sqrt 1) 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (* (cbrt (log base)) (cbrt (log base))))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (sqrt (log base)))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 1) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 1) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) (* (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (/ 1 (log base))) (* (log (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (hypot re im) (hypot re im))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (sqrt (sqrt (hypot re im)))) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (log (sqrt (hypot re im))) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base))) (* (cbrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ 1 (log base))) (* (sqrt (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))))) (/ 1 (log base))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 1) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (- 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 1) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (* (cbrt (log base)) (cbrt (log base))))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (sqrt (log base)))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (* (cbrt 1) (cbrt 1))) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (sqrt 1)) (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) 1) (real->posit16 (* (log (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))))) (/ 1 (log base)))) (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- (+ (* +nan.0 (pow im 2)) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) im re (* -1 re) (/ (log im) (log base)) (/ (log (/ 1 re)) (log (/ 1 base))) (* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))) 21.096 * * [simplify]: iteration 0: 385 enodes 21.426 * * [simplify]: iteration 1: 1163 enodes 21.870 * * [simplify]: iteration 2: 2493 enodes 22.589 * * [simplify]: iteration complete: 5001 enodes 22.590 * * [simplify]: Extracting #0: cost 85 inf + 0 22.592 * * [simplify]: Extracting #1: cost 605 inf + 6 22.599 * * [simplify]: Extracting #2: cost 988 inf + 6917 22.620 * * [simplify]: Extracting #3: cost 1099 inf + 41265 22.672 * * [simplify]: Extracting #4: cost 460 inf + 245136 22.774 * * [simplify]: Extracting #5: cost 43 inf + 421465 22.865 * * [simplify]: Extracting #6: cost 0 inf + 440201 22.968 * [simplify]: Simplified to: (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (hypot re im) (sqrt (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (sqrt (hypot re im)) (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (hypot re im)) (hypot re im) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 2 1/2 1 1/2 (* (cbrt (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (fabs (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (real->posit16 (sqrt (hypot re im))) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (hypot re im) (sqrt (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (sqrt (hypot re im)) (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (hypot re im)) (hypot re im) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 2 1/2 1 1/2 (* (cbrt (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (fabs (cbrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (fabs (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (cbrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (cbrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (real->posit16 (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) 2 2 2 2 2 2 2 2 2 2 2 2 4 4 4 4 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1/2 1/2 1 1 1/2 1/2 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 4 4 4 4 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 (hypot re im) (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (hypot re im) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (hypot re im) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))) (* (hypot re im) (hypot re im)) (* (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (hypot re im) (hypot re im) (hypot re im) (sqrt (hypot re im)) (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 2 (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) 1 (hypot re im) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) 1 (hypot re im) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) 1 (hypot re im) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) 1 (hypot re im) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 2 2 4 4 1 1 2 2 1 1 1 2 2 1/2 1 1/2 4 4 4 2 2 2 4 1 2 1 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (fabs (cbrt (sqrt (hypot re im))))) (sqrt (sqrt (hypot re im)))) (* (sqrt (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (fabs (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (cbrt (sqrt (sqrt (hypot re im))))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (hypot re im) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (hypot re im) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (hypot re im) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (real->posit16 (hypot re im)) (expm1 (/ (log (hypot re im)) (log base))) (log1p (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)) (log (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (log (/ (log (hypot re im)) (log base))) (exp (/ (log (hypot re im)) (log base))) (* (/ (log (hypot re im)) (log base)) (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))) (* (/ (log (hypot re im)) (log base)) (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))) (* (cbrt (/ (log (hypot re im)) (log base))) (cbrt (/ (log (hypot re im)) (log base)))) (cbrt (/ (log (hypot re im)) (log base))) (* (/ (log (hypot re im)) (log base)) (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))) (sqrt (/ (log (hypot re im)) (log base))) (sqrt (/ (log (hypot re im)) (log base))) (* (sqrt (/ 1 (log base))) (sqrt (log (hypot re im)))) (* (sqrt (/ 1 (log base))) (sqrt (log (hypot re im)))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (/ (sqrt (log (hypot re im))) (sqrt (log base))) (* (cbrt (/ 1 (log base))) (* (log (hypot re im)) (cbrt (/ 1 (log base))))) (* (log (hypot re im)) (sqrt (/ 1 (log base)))) (log (hypot re im)) (/ (log (hypot re im)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (sqrt (log base))) (log (hypot re im)) (log (hypot re im)) (/ (log (hypot re im)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (sqrt (log base))) (log (hypot re im)) (log (hypot re im)) (/ (log (hypot re im)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (sqrt (log base))) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (* (log (hypot re im)) 4) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (* (log (hypot re im)) 4) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)) (+ (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (sqrt (sqrt (hypot re im)))) (log base)) (/ (log (hypot re im)) (log base)) (/ (log (sqrt (hypot re im))) (log base)) (/ (log (hypot re im)) (log base)) (/ (cbrt (log (hypot re im))) (log base)) (/ (sqrt (log (hypot re im))) (log base)) (/ (log (hypot re im)) (log base)) (log (hypot re im)) (- (log (hypot re im))) (log (hypot re im)) (log (hypot re im)) (/ (log (hypot re im)) (* (cbrt (log base)) (cbrt (log base)))) (/ (log (hypot re im)) (sqrt (log base))) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (log (hypot re im)) (real->posit16 (/ (log (hypot re im)) (log base))) (fma (- (* im im)) +nan.0 (* +nan.0 (fma re re (- im)))) (fma +nan.0 (/ -1 re) (- (/ +nan.0 (* re re)) +nan.0)) (fma +nan.0 (/ -1 re) (- (/ +nan.0 (* re re)) +nan.0)) (fma (- (* im im)) +nan.0 (* +nan.0 (fma re re (- im)))) (fma +nan.0 (/ -1 re) (- (/ +nan.0 (* re re)) +nan.0)) (fma +nan.0 (/ -1 re) (- (/ +nan.0 (* re re)) +nan.0)) im re (- re) (/ (log im) (log base)) (- (/ (log re) (- (log base)))) (/ -1 (/ (+ 0 (log base)) (log (/ -1 re)))) 23.181 * * * [progress]: adding candidates to table 25.242 * [progress]: [Phase 3 of 3] Extracting. 25.242 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 25.245 * * * [regime-changes]: Trying 4 branch expressions: ((log base) base im re) 25.245 * * * * [regimes]: Trying to branch on (log base) from (# # # # # # # # # # # # #) 25.324 * * * * [regimes]: Trying to branch on base from (# # # # # # # # # # # # #) 25.400 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # # #) 25.465 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # # #) 25.550 * * * [regime]: Found split indices: #