4.540 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: Extracting # 5 : cost 0 0.029 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: iteration done: 7 enodes (cost 8 ) 0.034 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.076 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.076 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.076 * [taylor]: Taking taylor expansion of re in im 0.076 * [backup-simplify]: Simplify re into re 0.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.076 * [taylor]: Taking taylor expansion of im in im 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.077 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.077 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.077 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.077 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.078 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.078 * [taylor]: Taking taylor expansion of im in re 0.078 * [backup-simplify]: Simplify im into im 0.078 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.078 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.078 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.078 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.079 * [backup-simplify]: Simplify (+ 0 0) into 0 0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [backup-simplify]: Simplify im into im 0.079 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.080 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.081 * [taylor]: Taking taylor expansion of im in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.082 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.083 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.083 * [taylor]: Taking taylor expansion of 1/2 in im 0.083 * [backup-simplify]: Simplify 1/2 into 1/2 0.083 * [taylor]: Taking taylor expansion of im in im 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.086 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.088 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (* 1 1) into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.089 * [taylor]: Taking taylor expansion of re in im 0.089 * [backup-simplify]: Simplify re into re 0.089 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.090 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.090 * [backup-simplify]: Simplify (+ 1 0) into 1 0.090 * [backup-simplify]: Simplify (sqrt 1) into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.093 * [taylor]: Taking taylor expansion of im in re 0.093 * [backup-simplify]: Simplify im into im 0.093 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.093 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 1 into 1 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (/ 1 1) into 1 0.095 * [backup-simplify]: Simplify (+ 0 1) into 1 0.095 * [backup-simplify]: Simplify (sqrt 1) into 1 0.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.100 * [backup-simplify]: Simplify (+ 0 1) into 1 0.100 * [backup-simplify]: Simplify (sqrt 1) into 1 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of 1 in im 0.116 * [backup-simplify]: Simplify 1 into 1 0.117 * [taylor]: Taking taylor expansion of 0 in im 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.120 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of 1/2 in im 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.121 * [taylor]: Taking taylor expansion of im in im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.131 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.131 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.132 * [taylor]: Taking taylor expansion of re in im 0.132 * [backup-simplify]: Simplify re into re 0.132 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [backup-simplify]: Simplify (sqrt 1) into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.136 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.136 * [taylor]: Taking taylor expansion of im in re 0.137 * [backup-simplify]: Simplify im into im 0.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (sqrt 1) into 1 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.142 * [taylor]: Taking taylor expansion of im in re 0.142 * [backup-simplify]: Simplify im into im 0.142 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.142 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.142 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (+ 0 1) into 1 0.145 * [backup-simplify]: Simplify (sqrt 1) into 1 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 1 in im 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.152 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.152 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.152 * [taylor]: Taking taylor expansion of 1/2 in im 0.152 * [backup-simplify]: Simplify 1/2 into 1/2 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.152 * [taylor]: Taking taylor expansion of im in im 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 0.161 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.161 * * * [progress]: simplifying candidates 0.162 * [simplify]: Simplifying: (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)))) im re (* -1 re) 0.162 * * [simplify]: Extracting # 0 : cost 0 0.162 * * [simplify]: Extracting # 1 : cost 0 0.162 * * [simplify]: Extracting # 2 : cost 0 0.163 * * [simplify]: Extracting # 3 : cost 0 0.163 * * [simplify]: Extracting # 4 : cost 0 0.163 * * [simplify]: Extracting # 5 : cost 0 0.163 * * [simplify]: Extracting # 6 : cost 0 0.163 * * [simplify]: iteration 0 : 38 enodes (cost 213 ) 0.178 * * [simplify]: Extracting # 0 : cost 0 0.179 * * [simplify]: Extracting # 1 : cost 0 0.179 * * [simplify]: Extracting # 2 : cost 0 0.179 * * [simplify]: Extracting # 3 : cost 0 0.179 * * [simplify]: Extracting # 4 : cost 0 0.179 * * [simplify]: iteration 1 : 91 enodes (cost 186 ) 0.220 * * [simplify]: Extracting # 0 : cost 0 0.220 * * [simplify]: Extracting # 1 : cost 0 0.221 * * [simplify]: Extracting # 2 : cost 0 0.221 * * [simplify]: Extracting # 3 : cost 0 0.221 * * [simplify]: Extracting # 4 : cost 0 0.222 * * [simplify]: iteration 2 : 220 enodes (cost 170 ) 0.342 * * [simplify]: Extracting # 0 : cost 0 0.343 * * [simplify]: Extracting # 1 : cost 0 0.343 * * [simplify]: Extracting # 2 : cost 0 0.344 * * [simplify]: Extracting # 3 : cost 0 0.344 * * [simplify]: Extracting # 4 : cost 0 0.344 * * [simplify]: iteration 3 : 528 enodes (cost 164 ) 0.551 * * [simplify]: Extracting # 0 : cost 0 0.556 * * [simplify]: Extracting # 1 : cost 0 0.558 * * [simplify]: Extracting # 2 : cost 0 0.559 * * [simplify]: Extracting # 3 : cost 0 0.560 * * [simplify]: Extracting # 4 : cost 0 0.561 * * [simplify]: iteration 4 : 1456 enodes (cost 164 ) 1.146 * * [simplify]: Extracting # 0 : cost 0 1.154 * * [simplify]: Extracting # 1 : cost 0 1.163 * * [simplify]: Extracting # 2 : cost 0 1.175 * * [simplify]: Extracting # 3 : cost 0 1.186 * * [simplify]: Extracting # 4 : cost 0 1.197 * * [simplify]: iteration done: 5001 enodes (cost 164 ) 1.197 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (pow im 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (- re) 1.197 * * * [progress]: adding candidates to table 1.313 * * [progress]: iteration 2 / 4 1.313 * * * [progress]: picking best candidate 1.325 * * * * [pick]: Picked # 1.325 * * * [progress]: localizing error 1.330 * * * [progress]: generating rewritten candidates 1.330 * * * [progress]: generating series expansions 1.330 * * * [progress]: simplifying candidates 1.331 * [simplify]: Simplifying: 1.331 * * [simplify]: Extracting # 0 : cost 0 1.331 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.331 * * [simplify]: Extracting # 0 : cost 0 1.331 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.331 * [simplify]: Simplified to: 1.331 * * * [progress]: adding candidates to table 1.331 * * [progress]: iteration 3 / 4 1.332 * * * [progress]: picking best candidate 1.339 * * * * [pick]: Picked # 1.339 * * * [progress]: localizing error 1.340 * * * [progress]: generating rewritten candidates 1.340 * * * [progress]: generating series expansions 1.340 * * * [progress]: simplifying candidates 1.340 * [simplify]: Simplifying: 1.340 * * [simplify]: Extracting # 0 : cost 0 1.340 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.340 * * [simplify]: Extracting # 0 : cost 0 1.340 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.340 * [simplify]: Simplified to: 1.340 * * * [progress]: adding candidates to table 1.341 * * [progress]: iteration 4 / 4 1.341 * * * [progress]: picking best candidate 1.343 * * * * [pick]: Picked # 1.343 * * * [progress]: localizing error 1.344 * * * [progress]: generating rewritten candidates 1.344 * * * [progress]: generating series expansions 1.344 * * * [progress]: simplifying candidates 1.344 * [simplify]: Simplifying: 1.344 * * [simplify]: Extracting # 0 : cost 0 1.344 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.344 * * [simplify]: Extracting # 0 : cost 0 1.344 * * [simplify]: iteration done: 0 enodes (cost 0 ) 1.344 * [simplify]: Simplified to: 1.344 * * * [progress]: adding candidates to table 1.345 * [progress]: [Phase 3 of 3] Extracting. 1.345 * * [regime]: Finding splitpoints for: (# # # #) 1.345 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 1.345 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 1.394 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.421 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 1.482 * * * * [regimes]: Trying to branch on (* re re) from (# #) 1.523 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 1.583 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 1.626 * * * * [regimes]: Trying to branch on im from (# # # #) 1.719 * * * * [regimes]: Trying to branch on re from (# # # #) 1.775 * * * [regime]: Found split indices: #