0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.042 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.042 * * [simplify]: iteration 1: (6 enodes) 0.045 * * [simplify]: iteration 2: (21 enodes) 0.050 * * [simplify]: iteration 3: (23 enodes) 0.053 * * [simplify]: Extracting #0: cost 1 inf + 0 0.053 * * [simplify]: Extracting #1: cost 5 inf + 0 0.053 * * [simplify]: Extracting #2: cost 6 inf + 2 0.053 * * [simplify]: Extracting #3: cost 2 inf + 392 0.054 * * [simplify]: Extracting #4: cost 0 inf + 474 0.054 * [simplify]: Simplified to: (hypot re im) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.066 * * * * [pick]: Picked # 0.066 * * * [progress]: localizing error 0.083 * * * [progress]: generating rewritten candidates 0.083 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.083 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.084 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.084 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.084 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.084 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.084 * [taylor]: Taking taylor expansion of (* re re) in im 0.084 * [taylor]: Taking taylor expansion of re in im 0.084 * [backup-simplify]: Simplify re into re 0.084 * [taylor]: Taking taylor expansion of re in im 0.084 * [backup-simplify]: Simplify re into re 0.084 * [taylor]: Taking taylor expansion of (* im im) in im 0.084 * [taylor]: Taking taylor expansion of im in im 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [taylor]: Taking taylor expansion of im in im 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.085 * [backup-simplify]: Simplify (* 0 0) into 0 0.085 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.085 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.085 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.086 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.086 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.086 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.086 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.086 * [taylor]: Taking taylor expansion of (* re re) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of re in re 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of (* im im) in re 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [backup-simplify]: Simplify im into im 0.087 * [taylor]: Taking taylor expansion of im in re 0.087 * [backup-simplify]: Simplify im into im 0.087 * [backup-simplify]: Simplify (* 0 0) into 0 0.087 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.087 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.087 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.088 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.088 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.088 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.089 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.089 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.089 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.089 * [taylor]: Taking taylor expansion of (* re re) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of re in re 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (* im im) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [backup-simplify]: Simplify im into im 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [backup-simplify]: Simplify im into im 0.089 * [backup-simplify]: Simplify (* 0 0) into 0 0.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.090 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.090 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.091 * [taylor]: Taking taylor expansion of im in im 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.093 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.093 * [backup-simplify]: Simplify (+ 1 0) into 1 0.094 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.094 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.094 * [taylor]: Taking taylor expansion of 1/2 in im 0.094 * [backup-simplify]: Simplify 1/2 into 1/2 0.094 * [taylor]: Taking taylor expansion of im in im 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.097 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.099 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.099 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.099 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.099 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.099 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.100 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.100 * [taylor]: Taking taylor expansion of re in im 0.100 * [backup-simplify]: Simplify re into re 0.100 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.100 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.100 * [taylor]: Taking taylor expansion of re in im 0.100 * [backup-simplify]: Simplify re into re 0.100 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.100 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.102 * [backup-simplify]: Simplify (+ 0 1) into 1 0.102 * [backup-simplify]: Simplify (sqrt 1) into 1 0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.106 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.106 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.106 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.106 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.106 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.106 * [taylor]: Taking taylor expansion of re in re 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.107 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [backup-simplify]: Simplify im into im 0.107 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.107 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [backup-simplify]: Simplify im into im 0.107 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.113 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.113 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.113 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.113 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.114 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.114 * [taylor]: Taking taylor expansion of im in re 0.114 * [backup-simplify]: Simplify im into im 0.114 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.114 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.114 * [taylor]: Taking taylor expansion of im in re 0.114 * [backup-simplify]: Simplify im into im 0.114 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.115 * [backup-simplify]: Simplify (* 1 1) into 1 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify (sqrt 1) into 1 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.119 * [taylor]: Taking taylor expansion of 1 in im 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.123 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.125 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.125 * [taylor]: Taking taylor expansion of 1/2 in im 0.125 * [backup-simplify]: Simplify 1/2 into 1/2 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.131 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.135 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.135 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.135 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.135 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.135 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.135 * [taylor]: Taking taylor expansion of -1 in im 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of re in im 0.136 * [backup-simplify]: Simplify re into re 0.136 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.136 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.136 * [taylor]: Taking taylor expansion of -1 in im 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of re in im 0.136 * [backup-simplify]: Simplify re into re 0.136 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.136 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.136 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.136 * [taylor]: Taking taylor expansion of -1 in im 0.136 * [backup-simplify]: Simplify -1 into -1 0.136 * [taylor]: Taking taylor expansion of im in im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (/ -1 1) into -1 0.136 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.137 * [taylor]: Taking taylor expansion of -1 in im 0.137 * [backup-simplify]: Simplify -1 into -1 0.137 * [taylor]: Taking taylor expansion of im in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ -1 1) into -1 0.137 * [backup-simplify]: Simplify (* -1 -1) into 1 0.138 * [backup-simplify]: Simplify (+ 0 1) into 1 0.138 * [backup-simplify]: Simplify (sqrt 1) into 1 0.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.142 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.142 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.142 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.142 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.142 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.142 * [taylor]: Taking taylor expansion of -1 in re 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of re in re 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (/ -1 1) into -1 0.142 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.142 * [taylor]: Taking taylor expansion of -1 in re 0.142 * [backup-simplify]: Simplify -1 into -1 0.142 * [taylor]: Taking taylor expansion of re in re 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.143 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.143 * [taylor]: Taking taylor expansion of -1 in re 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [backup-simplify]: Simplify im into im 0.143 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.143 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.143 * [taylor]: Taking taylor expansion of -1 in re 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [backup-simplify]: Simplify im into im 0.143 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.144 * [backup-simplify]: Simplify (* -1 -1) into 1 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (sqrt 1) into 1 0.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.148 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.148 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.148 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.148 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.148 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.148 * [taylor]: Taking taylor expansion of -1 in re 0.148 * [backup-simplify]: Simplify -1 into -1 0.148 * [taylor]: Taking taylor expansion of re in re 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ -1 1) into -1 0.148 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.148 * [taylor]: Taking taylor expansion of -1 in re 0.149 * [backup-simplify]: Simplify -1 into -1 0.149 * [taylor]: Taking taylor expansion of re in re 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ -1 1) into -1 0.149 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.149 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.149 * [taylor]: Taking taylor expansion of -1 in re 0.149 * [backup-simplify]: Simplify -1 into -1 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [backup-simplify]: Simplify im into im 0.149 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.149 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.149 * [taylor]: Taking taylor expansion of -1 in re 0.149 * [backup-simplify]: Simplify -1 into -1 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [backup-simplify]: Simplify im into im 0.149 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.150 * [backup-simplify]: Simplify (* -1 -1) into 1 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.151 * [backup-simplify]: Simplify (sqrt 1) into 1 0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.154 * [taylor]: Taking taylor expansion of 1 in im 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.157 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of 1/2 in im 0.159 * [backup-simplify]: Simplify 1/2 into 1/2 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.165 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.165 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.165 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.168 * * * [progress]: simplifying candidates 0.168 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 0.168 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (hypot re im))))> 0.169 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 0.169 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 0.170 * [simplify]: Simplifying: (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) 0.170 * * [simplify]: iteration 1: (18 enodes) 0.178 * * [simplify]: iteration 2: (56 enodes) 0.192 * * [simplify]: iteration 3: (59 enodes) 0.200 * * [simplify]: iteration 4: (65 enodes) 0.214 * * [simplify]: iteration 5: (76 enodes) 0.242 * * [simplify]: iteration 6: (95 enodes) 0.274 * * [simplify]: iteration 7: (141 enodes) 0.326 * * [simplify]: iteration 8: (259 enodes) 0.442 * * [simplify]: iteration 9: (578 enodes) 0.942 * * [simplify]: iteration 10: (1709 enodes) 6.176 * * [simplify]: Extracting #0: cost 13 inf + 0 6.177 * * [simplify]: Extracting #1: cost 132 inf + 2 6.183 * * [simplify]: Extracting #2: cost 705 inf + 997 6.194 * * [simplify]: Extracting #3: cost 1038 inf + 2948 6.205 * * [simplify]: Extracting #4: cost 1122 inf + 19126 6.236 * * [simplify]: Extracting #5: cost 736 inf + 122499 6.372 * * [simplify]: Extracting #6: cost 281 inf + 572956 6.559 * * [simplify]: Extracting #7: cost 8 inf + 884604 6.804 * * [simplify]: Extracting #8: cost 0 inf + 888489 7.039 * * [simplify]: Extracting #9: cost 0 inf + 888339 7.297 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (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) 7.298 * * * [progress]: adding candidates to table 7.443 * * [progress]: iteration 2 / 4 7.443 * * * [progress]: picking best candidate 7.448 * * * * [pick]: Picked # 7.449 * * * [progress]: localizing error 7.479 * * * [progress]: generating rewritten candidates 7.479 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 7.492 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 7.507 * * * [progress]: generating series expansions 7.508 * * * * [progress]: [ 1 / 2 ] generating series at (2) 7.508 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 7.508 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 7.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.508 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.508 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.508 * [taylor]: Taking taylor expansion of im in im 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.508 * [taylor]: Taking taylor expansion of re in im 7.508 * [backup-simplify]: Simplify re into re 7.508 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.508 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.509 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.509 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.510 * [backup-simplify]: Simplify (+ 0 0) into 0 7.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.510 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.510 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.510 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.510 * [taylor]: Taking taylor expansion of im in re 7.510 * [backup-simplify]: Simplify im into im 7.510 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.510 * [taylor]: Taking taylor expansion of re in re 7.510 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify 1 into 1 7.510 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.511 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.511 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.511 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.511 * [backup-simplify]: Simplify (+ 0 0) into 0 7.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.512 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.512 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.512 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.512 * [taylor]: Taking taylor expansion of im in re 7.512 * [backup-simplify]: Simplify im into im 7.512 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.512 * [taylor]: Taking taylor expansion of re in re 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.512 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.512 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.513 * [backup-simplify]: Simplify (+ 0 0) into 0 7.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.513 * [taylor]: Taking taylor expansion of im in im 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 1 into 1 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [taylor]: Taking taylor expansion of 0 in im 7.513 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify 0 into 0 7.514 * [backup-simplify]: Simplify 1 into 1 7.514 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.515 * [backup-simplify]: Simplify (* 1 1) into 1 7.515 * [backup-simplify]: Simplify (+ 0 1) into 1 7.516 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.516 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 7.516 * [taylor]: Taking taylor expansion of 1/2 in im 7.516 * [backup-simplify]: Simplify 1/2 into 1/2 7.516 * [taylor]: Taking taylor expansion of im in im 7.516 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify 1 into 1 7.517 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.518 * [backup-simplify]: Simplify 0 into 0 7.519 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.520 * [backup-simplify]: Simplify (+ 0 0) into 0 7.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.521 * [taylor]: Taking taylor expansion of 0 in im 7.521 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 7.523 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.523 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.523 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.523 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.523 * [taylor]: Taking taylor expansion of re in im 7.523 * [backup-simplify]: Simplify re into re 7.523 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.523 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.523 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.523 * [taylor]: Taking taylor expansion of im in im 7.523 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify 1 into 1 7.524 * [backup-simplify]: Simplify (* 1 1) into 1 7.525 * [backup-simplify]: Simplify (/ 1 1) into 1 7.525 * [backup-simplify]: Simplify (+ 0 1) into 1 7.526 * [backup-simplify]: Simplify (sqrt 1) into 1 7.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.528 * [backup-simplify]: Simplify (+ 0 0) into 0 7.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.529 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.529 * [taylor]: Taking taylor expansion of re in re 7.529 * [backup-simplify]: Simplify 0 into 0 7.529 * [backup-simplify]: Simplify 1 into 1 7.529 * [backup-simplify]: Simplify (* 1 1) into 1 7.529 * [backup-simplify]: Simplify (/ 1 1) into 1 7.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.530 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.530 * [taylor]: Taking taylor expansion of im in re 7.530 * [backup-simplify]: Simplify im into im 7.530 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.530 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.530 * [backup-simplify]: Simplify (+ 1 0) into 1 7.531 * [backup-simplify]: Simplify (sqrt 1) into 1 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (+ 0 0) into 0 7.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.534 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.534 * [taylor]: Taking taylor expansion of re in re 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify 1 into 1 7.534 * [backup-simplify]: Simplify (* 1 1) into 1 7.535 * [backup-simplify]: Simplify (/ 1 1) into 1 7.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.535 * [taylor]: Taking taylor expansion of im in re 7.535 * [backup-simplify]: Simplify im into im 7.535 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.535 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.535 * [backup-simplify]: Simplify (+ 1 0) into 1 7.536 * [backup-simplify]: Simplify (sqrt 1) into 1 7.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.538 * [backup-simplify]: Simplify (+ 0 0) into 0 7.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.539 * [taylor]: Taking taylor expansion of 1 in im 7.539 * [backup-simplify]: Simplify 1 into 1 7.539 * [taylor]: Taking taylor expansion of 0 in im 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.543 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.543 * [taylor]: Taking taylor expansion of 1/2 in im 7.543 * [backup-simplify]: Simplify 1/2 into 1/2 7.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.543 * [taylor]: Taking taylor expansion of im in im 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 1 into 1 7.543 * [backup-simplify]: Simplify (* 1 1) into 1 7.544 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.548 * [backup-simplify]: Simplify (+ 0 0) into 0 7.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.549 * [taylor]: Taking taylor expansion of 0 in im 7.549 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify 0 into 0 7.551 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 7.551 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 7.551 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 7.551 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.551 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.551 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.551 * [taylor]: Taking taylor expansion of re in im 7.551 * [backup-simplify]: Simplify re into re 7.551 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.552 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.552 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.552 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.552 * [taylor]: Taking taylor expansion of im in im 7.552 * [backup-simplify]: Simplify 0 into 0 7.552 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (* 1 1) into 1 7.552 * [backup-simplify]: Simplify (/ 1 1) into 1 7.553 * [backup-simplify]: Simplify (+ 0 1) into 1 7.553 * [backup-simplify]: Simplify (sqrt 1) into 1 7.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.555 * [backup-simplify]: Simplify (+ 0 0) into 0 7.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.556 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.556 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.556 * [taylor]: Taking taylor expansion of re in re 7.556 * [backup-simplify]: Simplify 0 into 0 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify (* 1 1) into 1 7.557 * [backup-simplify]: Simplify (/ 1 1) into 1 7.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.557 * [taylor]: Taking taylor expansion of im in re 7.557 * [backup-simplify]: Simplify im into im 7.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.558 * [backup-simplify]: Simplify (+ 1 0) into 1 7.558 * [backup-simplify]: Simplify (sqrt 1) into 1 7.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.560 * [backup-simplify]: Simplify (+ 0 0) into 0 7.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.561 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.561 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.561 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.561 * [taylor]: Taking taylor expansion of re in re 7.561 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify 1 into 1 7.561 * [backup-simplify]: Simplify (* 1 1) into 1 7.562 * [backup-simplify]: Simplify (/ 1 1) into 1 7.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.562 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.562 * [taylor]: Taking taylor expansion of im in re 7.562 * [backup-simplify]: Simplify im into im 7.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.562 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.563 * [backup-simplify]: Simplify (+ 1 0) into 1 7.563 * [backup-simplify]: Simplify (sqrt 1) into 1 7.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.570 * [backup-simplify]: Simplify (+ 0 0) into 0 7.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.571 * [taylor]: Taking taylor expansion of 1 in im 7.571 * [backup-simplify]: Simplify 1 into 1 7.571 * [taylor]: Taking taylor expansion of 0 in im 7.571 * [backup-simplify]: Simplify 0 into 0 7.571 * [backup-simplify]: Simplify 1 into 1 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.573 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.574 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.574 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 7.574 * [taylor]: Taking taylor expansion of 1/2 in im 7.575 * [backup-simplify]: Simplify 1/2 into 1/2 7.575 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.575 * [taylor]: Taking taylor expansion of im in im 7.575 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify 1 into 1 7.575 * [backup-simplify]: Simplify (* 1 1) into 1 7.576 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify 0 into 0 7.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.579 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.580 * [backup-simplify]: Simplify (+ 0 0) into 0 7.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.580 * [taylor]: Taking taylor expansion of 0 in im 7.580 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 7.583 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 7.583 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 7.583 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 7.583 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.583 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.583 * [taylor]: Taking taylor expansion of im in im 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.583 * [taylor]: Taking taylor expansion of re in im 7.583 * [backup-simplify]: Simplify re into re 7.583 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.583 * [taylor]: Taking taylor expansion of im in re 7.583 * [backup-simplify]: Simplify im into im 7.583 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.583 * [taylor]: Taking taylor expansion of re in re 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.583 * [taylor]: Taking taylor expansion of im in re 7.583 * [backup-simplify]: Simplify im into im 7.583 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.583 * [taylor]: Taking taylor expansion of re in re 7.583 * [backup-simplify]: Simplify 0 into 0 7.583 * [backup-simplify]: Simplify 1 into 1 7.583 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.584 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.584 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.584 * [taylor]: Taking taylor expansion of im in im 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 1 into 1 7.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.584 * [backup-simplify]: Simplify (+ 0 0) into 0 7.584 * [taylor]: Taking taylor expansion of 0 in im 7.584 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify 0 into 0 7.585 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.585 * [backup-simplify]: Simplify (* 1 1) into 1 7.586 * [backup-simplify]: Simplify (+ 0 1) into 1 7.586 * [taylor]: Taking taylor expansion of 1 in im 7.586 * [backup-simplify]: Simplify 1 into 1 7.586 * [backup-simplify]: Simplify 1 into 1 7.586 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (* 1 1) into 1 7.586 * [backup-simplify]: Simplify 1 into 1 7.587 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.588 * [backup-simplify]: Simplify (+ 0 0) into 0 7.588 * [taylor]: Taking taylor expansion of 0 in im 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.589 * [backup-simplify]: Simplify 0 into 0 7.591 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 7.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.592 * [backup-simplify]: Simplify (+ 0 0) into 0 7.592 * [taylor]: Taking taylor expansion of 0 in im 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify 0 into 0 7.592 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 7.593 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 7.593 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 7.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.593 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.593 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.593 * [taylor]: Taking taylor expansion of re in im 7.593 * [backup-simplify]: Simplify re into re 7.593 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.593 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.593 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.593 * [taylor]: Taking taylor expansion of im in im 7.593 * [backup-simplify]: Simplify 0 into 0 7.593 * [backup-simplify]: Simplify 1 into 1 7.594 * [backup-simplify]: Simplify (* 1 1) into 1 7.594 * [backup-simplify]: Simplify (/ 1 1) into 1 7.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.594 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.594 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.594 * [taylor]: Taking taylor expansion of re in re 7.594 * [backup-simplify]: Simplify 0 into 0 7.594 * [backup-simplify]: Simplify 1 into 1 7.595 * [backup-simplify]: Simplify (* 1 1) into 1 7.595 * [backup-simplify]: Simplify (/ 1 1) into 1 7.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.595 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.595 * [taylor]: Taking taylor expansion of im in re 7.595 * [backup-simplify]: Simplify im into im 7.595 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.595 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.595 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.595 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.595 * [taylor]: Taking taylor expansion of re in re 7.595 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify 1 into 1 7.596 * [backup-simplify]: Simplify (* 1 1) into 1 7.596 * [backup-simplify]: Simplify (/ 1 1) into 1 7.596 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.596 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.596 * [taylor]: Taking taylor expansion of im in re 7.596 * [backup-simplify]: Simplify im into im 7.597 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.597 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.597 * [backup-simplify]: Simplify (+ 1 0) into 1 7.597 * [taylor]: Taking taylor expansion of 1 in im 7.597 * [backup-simplify]: Simplify 1 into 1 7.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.600 * [backup-simplify]: Simplify (+ 0 0) into 0 7.600 * [taylor]: Taking taylor expansion of 0 in im 7.600 * [backup-simplify]: Simplify 0 into 0 7.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.602 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.602 * [taylor]: Taking taylor expansion of im in im 7.602 * [backup-simplify]: Simplify 0 into 0 7.602 * [backup-simplify]: Simplify 1 into 1 7.603 * [backup-simplify]: Simplify (* 1 1) into 1 7.603 * [backup-simplify]: Simplify (/ 1 1) into 1 7.603 * [backup-simplify]: Simplify 1 into 1 7.603 * [backup-simplify]: Simplify 1 into 1 7.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.606 * [backup-simplify]: Simplify (+ 0 0) into 0 7.606 * [taylor]: Taking taylor expansion of 0 in im 7.606 * [backup-simplify]: Simplify 0 into 0 7.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.608 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify 0 into 0 7.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.611 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.612 * [backup-simplify]: Simplify (+ 0 0) into 0 7.612 * [taylor]: Taking taylor expansion of 0 in im 7.612 * [backup-simplify]: Simplify 0 into 0 7.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 7.615 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 7.615 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 7.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.615 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.615 * [taylor]: Taking taylor expansion of re in im 7.615 * [backup-simplify]: Simplify re into re 7.615 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.615 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.615 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.615 * [taylor]: Taking taylor expansion of im in im 7.615 * [backup-simplify]: Simplify 0 into 0 7.615 * [backup-simplify]: Simplify 1 into 1 7.616 * [backup-simplify]: Simplify (* 1 1) into 1 7.616 * [backup-simplify]: Simplify (/ 1 1) into 1 7.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.616 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.616 * [taylor]: Taking taylor expansion of re in re 7.617 * [backup-simplify]: Simplify 0 into 0 7.617 * [backup-simplify]: Simplify 1 into 1 7.617 * [backup-simplify]: Simplify (* 1 1) into 1 7.617 * [backup-simplify]: Simplify (/ 1 1) into 1 7.617 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.617 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.617 * [taylor]: Taking taylor expansion of im in re 7.618 * [backup-simplify]: Simplify im into im 7.618 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.618 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.618 * [taylor]: Taking taylor expansion of re in re 7.618 * [backup-simplify]: Simplify 0 into 0 7.618 * [backup-simplify]: Simplify 1 into 1 7.618 * [backup-simplify]: Simplify (* 1 1) into 1 7.619 * [backup-simplify]: Simplify (/ 1 1) into 1 7.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.619 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.619 * [taylor]: Taking taylor expansion of im in re 7.619 * [backup-simplify]: Simplify im into im 7.619 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.619 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.619 * [backup-simplify]: Simplify (+ 1 0) into 1 7.620 * [taylor]: Taking taylor expansion of 1 in im 7.620 * [backup-simplify]: Simplify 1 into 1 7.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.622 * [backup-simplify]: Simplify (+ 0 0) into 0 7.622 * [taylor]: Taking taylor expansion of 0 in im 7.622 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.624 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.624 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.624 * [taylor]: Taking taylor expansion of im in im 7.624 * [backup-simplify]: Simplify 0 into 0 7.624 * [backup-simplify]: Simplify 1 into 1 7.624 * [backup-simplify]: Simplify (* 1 1) into 1 7.625 * [backup-simplify]: Simplify (/ 1 1) into 1 7.625 * [backup-simplify]: Simplify 1 into 1 7.625 * [backup-simplify]: Simplify 1 into 1 7.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.627 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.628 * [backup-simplify]: Simplify (+ 0 0) into 0 7.628 * [taylor]: Taking taylor expansion of 0 in im 7.628 * [backup-simplify]: Simplify 0 into 0 7.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.629 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.632 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 7.633 * [backup-simplify]: Simplify (+ 0 0) into 0 7.633 * [taylor]: Taking taylor expansion of 0 in im 7.633 * [backup-simplify]: Simplify 0 into 0 7.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify 0 into 0 7.636 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 7.636 * * * [progress]: simplifying candidates 7.636 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 7.636 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 17 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 19 / 40 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))> 7.637 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 7.637 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 33 / 40 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))))> 7.638 * * * * [progress]: [ 34 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 7.638 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 7.639 * [simplify]: Simplifying: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (expm1 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (real->posit16 (+ (* re re) (* im im))) im re (* -1 re) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 7.640 * * [simplify]: iteration 1: (54 enodes) 7.672 * * [simplify]: iteration 2: (232 enodes) 7.763 * * [simplify]: iteration 3: (579 enodes) 8.109 * * [simplify]: iteration 4: (1370 enodes) 9.375 * * [simplify]: Extracting #0: cost 34 inf + 0 9.377 * * [simplify]: Extracting #1: cost 171 inf + 564 9.383 * * [simplify]: Extracting #2: cost 424 inf + 7099 9.416 * * [simplify]: Extracting #3: cost 283 inf + 44605 9.443 * * [simplify]: Extracting #4: cost 80 inf + 91058 9.474 * * [simplify]: Extracting #5: cost 15 inf + 121600 9.513 * * [simplify]: Extracting #6: cost 3 inf + 127217 9.545 * * [simplify]: Extracting #7: cost 0 inf + 127514 9.587 * [simplify]: Simplified to: (expm1 (hypot re im)) (log1p (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (fma re re (* im im))) (fabs (cbrt (fma re re (* im im)))) (sqrt (cbrt (fma re re (* im im)))) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt 1) (hypot re im) (hypot (* re (* re re)) (* im (* im im))) (sqrt (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) (/ 1 2) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (expm1 (fma re re (* im im))) (log1p (fma re re (* im im))) (exp (fma re re (* im im))) (log (fma re re (* im im))) (exp (fma re re (* im im))) (* (cbrt (fma re re (* im im))) (cbrt (fma re re (* im im)))) (cbrt (fma re re (* im im))) (* (* (fma re re (* im im)) (fma re re (* im im))) (fma re re (* im im))) (hypot re im) (hypot re im) (fma (* im (* im im)) (* im (* im im)) (* (* re (* re re)) (* re (* re re)))) (fma (* im im) (- (* im im) (* re re)) (* (* re re) (* re re))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (* (+ re im) (- re im)) (real->posit16 (fma re re (* im im))) im re (- re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 9.589 * * * [progress]: adding candidates to table 10.003 * [progress]: [Phase 3 of 3] Extracting. 10.003 * * [regime]: Finding splitpoints for: (# #) 10.004 * * * [regime-changes]: Trying 6 branch expressions: (im (* im im) re (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) 10.004 * * * * [regimes]: Trying to branch on im from (# #) 10.072 * * * * [regimes]: Trying to branch on (* im im) from (# #) 10.135 * * * * [regimes]: Trying to branch on re from (# #) 10.200 * * * * [regimes]: Trying to branch on (* re re) from (# #) 10.260 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 10.289 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 10.324 * * * [regime]: Found split indices: #