4.185 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.027 * [simplify]: Simplifying: (sqrt (+ (* re re) (* im im))) 0.027 * * [simplify]: iteration 1: (6 enodes) 0.028 * * [simplify]: iteration 2: (7 enodes) 0.029 * * [simplify]: Extracting #0: cost 1 inf + 0 0.029 * * [simplify]: Extracting #1: cost 2 inf + 0 0.029 * * [simplify]: Extracting #2: cost 4 inf + 0 0.029 * * [simplify]: Extracting #3: cost 6 inf + 0 0.029 * * [simplify]: Extracting #4: cost 3 inf + 43 0.029 * * [simplify]: Extracting #5: cost 0 inf + 368 0.029 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.049 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.056 * * * [progress]: generating series expansions 0.057 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.057 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.057 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.057 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.057 * [taylor]: Taking taylor expansion of im in im 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 1 into 1 0.057 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.057 * [taylor]: Taking taylor expansion of re in im 0.057 * [backup-simplify]: Simplify re into re 0.057 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.057 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.057 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.057 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.058 * [backup-simplify]: Simplify (+ 0 0) into 0 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.058 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.058 * [taylor]: Taking taylor expansion of im in re 0.058 * [backup-simplify]: Simplify im into im 0.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.058 * [taylor]: Taking taylor expansion of re in re 0.058 * [backup-simplify]: Simplify 0 into 0 0.058 * [backup-simplify]: Simplify 1 into 1 0.058 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.058 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.059 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.059 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.059 * [backup-simplify]: Simplify (+ 0 0) into 0 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.059 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.059 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.059 * [taylor]: Taking taylor expansion of im in re 0.059 * [backup-simplify]: Simplify im into im 0.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.059 * [taylor]: Taking taylor expansion of re in re 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 1 into 1 0.059 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.059 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.060 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.060 * [backup-simplify]: Simplify (+ 0 0) into 0 0.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.060 * [taylor]: Taking taylor expansion of im in im 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [taylor]: Taking taylor expansion of 0 in im 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 1 into 1 0.061 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.061 * [backup-simplify]: Simplify (* 1 1) into 1 0.062 * [backup-simplify]: Simplify (+ 0 1) into 1 0.062 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.063 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.063 * [taylor]: Taking taylor expansion of 1/2 in im 0.063 * [backup-simplify]: Simplify 1/2 into 1/2 0.063 * [taylor]: Taking taylor expansion of im in im 0.063 * [backup-simplify]: Simplify 0 into 0 0.063 * [backup-simplify]: Simplify 1 into 1 0.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.064 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.066 * [backup-simplify]: Simplify (+ 0 0) into 0 0.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in im 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.068 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.068 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.068 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.068 * [taylor]: Taking taylor expansion of re in im 0.068 * [backup-simplify]: Simplify re into re 0.068 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.068 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.068 * [taylor]: Taking taylor expansion of im in im 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 1 into 1 0.069 * [backup-simplify]: Simplify (* 1 1) into 1 0.069 * [backup-simplify]: Simplify (/ 1 1) into 1 0.070 * [backup-simplify]: Simplify (+ 0 1) into 1 0.070 * [backup-simplify]: Simplify (sqrt 1) into 1 0.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.072 * [backup-simplify]: Simplify (+ 0 0) into 0 0.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.073 * [taylor]: Taking taylor expansion of re in re 0.073 * [backup-simplify]: Simplify 0 into 0 0.073 * [backup-simplify]: Simplify 1 into 1 0.073 * [backup-simplify]: Simplify (* 1 1) into 1 0.073 * [backup-simplify]: Simplify (/ 1 1) into 1 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.074 * [taylor]: Taking taylor expansion of im in re 0.074 * [backup-simplify]: Simplify im into im 0.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.074 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.074 * [backup-simplify]: Simplify (+ 1 0) into 1 0.075 * [backup-simplify]: Simplify (sqrt 1) into 1 0.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.084 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.084 * [taylor]: Taking taylor expansion of re in re 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 1 1) into 1 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.085 * [backup-simplify]: Simplify im into im 0.085 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [backup-simplify]: Simplify (sqrt 1) into 1 0.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.090 * [taylor]: Taking taylor expansion of 1 in im 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.094 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.094 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im 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 1) into 1 0.095 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.096 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.099 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.099 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.102 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.102 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.103 * [taylor]: Taking taylor expansion of re in im 0.103 * [backup-simplify]: Simplify re into re 0.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.103 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.103 * [taylor]: Taking taylor expansion of im in im 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* 1 1) into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [backup-simplify]: Simplify (+ 0 1) into 1 0.104 * [backup-simplify]: Simplify (sqrt 1) into 1 0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) 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 0.108 * [backup-simplify]: Simplify (* 1 1) into 1 0.108 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [backup-simplify]: Simplify im into im 0.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.108 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.109 * [backup-simplify]: Simplify (+ 1 0) into 1 0.109 * [backup-simplify]: Simplify (sqrt 1) into 1 0.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.112 * [taylor]: Taking taylor expansion of re in re 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.113 * [taylor]: Taking taylor expansion of im in re 0.113 * [backup-simplify]: Simplify im into im 0.113 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.113 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [backup-simplify]: Simplify (sqrt 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.117 * [taylor]: Taking taylor expansion of 1 in im 0.117 * [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 (+ 0 (/ 1 (pow im 2))) 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 0.120 * [backup-simplify]: Simplify 1/2 into 1/2 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.123 * [taylor]: Taking taylor expansion of 0 in im 0.123 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.125 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.125 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.125 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.125 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 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 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.125 * [taylor]: Taking taylor expansion of re in im 0.125 * [backup-simplify]: Simplify re into re 0.125 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [backup-simplify]: Simplify im into im 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [backup-simplify]: Simplify im into im 0.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.125 * [taylor]: Taking taylor expansion of re in re 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.126 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify (+ 0 1) into 1 0.127 * [taylor]: Taking taylor expansion of 1 in im 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.127 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [taylor]: Taking taylor expansion of 0 in im 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.131 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.131 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.131 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.131 * [taylor]: Taking taylor expansion of re in im 0.131 * [backup-simplify]: Simplify re into re 0.131 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.131 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 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)) (/ 1 (pow im 2))) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [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 im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [backup-simplify]: Simplify im into im 0.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.133 * [taylor]: Taking taylor expansion of re in re 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.133 * [taylor]: Taking taylor expansion of im in re 0.133 * [backup-simplify]: Simplify im into im 0.133 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.134 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [taylor]: Taking taylor expansion of 1 in im 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [taylor]: Taking taylor expansion of 0 in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.143 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.143 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.144 * [backup-simplify]: Simplify re into re 0.144 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.145 * [taylor]: Taking taylor expansion of im in re 0.145 * [backup-simplify]: Simplify im into im 0.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [backup-simplify]: Simplify im into im 0.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.146 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.146 * [taylor]: Taking taylor expansion of 1 in im 0.146 * [backup-simplify]: Simplify 1 into 1 0.147 * [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 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.149 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.159 * * * [progress]: simplifying candidates 0.159 * * * * [progress]: [ 1 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 2 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 3 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 4 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 5 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 6 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 7 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 8 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 9 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 10 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 11 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 12 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 13 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 14 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 15 / 32 ] simplifiying candidate # 0.159 * * * * [progress]: [ 16 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 17 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 18 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 19 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 20 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 21 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 22 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 23 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 24 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 25 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 26 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 27 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 28 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 29 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 30 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 31 / 32 ] simplifiying candidate # 0.160 * * * * [progress]: [ 32 / 32 ] simplifiying candidate # 0.161 * [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)))) (* (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)) im re (* -1 re) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 0.162 * * [simplify]: iteration 1: (48 enodes) 0.181 * * [simplify]: iteration 2: (125 enodes) 0.229 * * [simplify]: iteration 3: (406 enodes) 0.547 * * [simplify]: iteration 4: (1552 enodes) 3.929 * * [simplify]: Extracting #0: cost 28 inf + 0 3.930 * * [simplify]: Extracting #1: cost 155 inf + 4 3.936 * * [simplify]: Extracting #2: cost 777 inf + 3588 3.968 * * [simplify]: Extracting #3: cost 529 inf + 66761 4.013 * * [simplify]: Extracting #4: cost 96 inf + 162548 4.079 * * [simplify]: Extracting #5: cost 5 inf + 193775 4.126 * * [simplify]: Extracting #6: cost 0 inf + 196712 4.186 * [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)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (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 (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* 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))) (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im)))) (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 4.187 * * * [progress]: adding candidates to table 4.479 * * [progress]: iteration 2 / 4 4.479 * * * [progress]: picking best candidate 4.492 * * * * [pick]: Picked # 4.492 * * * [progress]: localizing error 4.525 * * * [progress]: generating rewritten candidates 4.525 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.536 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.543 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.589 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.604 * * * [progress]: generating series expansions 4.604 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.605 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 4.605 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.605 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.605 * [taylor]: Taking taylor expansion of im in im 4.605 * [backup-simplify]: Simplify 0 into 0 4.605 * [backup-simplify]: Simplify 1 into 1 4.605 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.605 * [taylor]: Taking taylor expansion of re in im 4.605 * [backup-simplify]: Simplify re into re 4.605 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.605 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.605 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.605 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.606 * [backup-simplify]: Simplify (+ 0 0) into 0 4.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.606 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.606 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.606 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.606 * [taylor]: Taking taylor expansion of im in re 4.606 * [backup-simplify]: Simplify im into im 4.606 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.606 * [taylor]: Taking taylor expansion of re in re 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.607 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.607 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.607 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.607 * [backup-simplify]: Simplify (+ 0 0) into 0 4.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.608 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.608 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.608 * [taylor]: Taking taylor expansion of im in re 4.608 * [backup-simplify]: Simplify im into im 4.608 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.608 * [taylor]: Taking taylor expansion of re in re 4.608 * [backup-simplify]: Simplify 0 into 0 4.608 * [backup-simplify]: Simplify 1 into 1 4.608 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.608 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.608 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.609 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.609 * [backup-simplify]: Simplify (+ 0 0) into 0 4.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.609 * [taylor]: Taking taylor expansion of im in im 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 1 into 1 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [taylor]: Taking taylor expansion of 0 in im 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.611 * [backup-simplify]: Simplify (* 1 1) into 1 4.611 * [backup-simplify]: Simplify (+ 0 1) into 1 4.612 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.612 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.612 * [taylor]: Taking taylor expansion of 1/2 in im 4.612 * [backup-simplify]: Simplify 1/2 into 1/2 4.612 * [taylor]: Taking taylor expansion of im in im 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.616 * [backup-simplify]: Simplify (+ 0 0) into 0 4.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.616 * [taylor]: Taking taylor expansion of 0 in im 4.616 * [backup-simplify]: Simplify 0 into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.618 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.618 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.618 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.618 * [taylor]: Taking taylor expansion of re in im 4.618 * [backup-simplify]: Simplify re into re 4.618 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.618 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.618 * [taylor]: Taking taylor expansion of im in im 4.618 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.619 * [backup-simplify]: Simplify (* 1 1) into 1 4.619 * [backup-simplify]: Simplify (/ 1 1) into 1 4.619 * [backup-simplify]: Simplify (+ 0 1) into 1 4.620 * [backup-simplify]: Simplify (sqrt 1) into 1 4.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.622 * [backup-simplify]: Simplify (+ 0 0) into 0 4.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.623 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.623 * [taylor]: Taking taylor expansion of re in re 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [backup-simplify]: Simplify (* 1 1) into 1 4.624 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.624 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.624 * [taylor]: Taking taylor expansion of im in re 4.624 * [backup-simplify]: Simplify im into im 4.624 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.624 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.624 * [backup-simplify]: Simplify (+ 1 0) into 1 4.625 * [backup-simplify]: Simplify (sqrt 1) into 1 4.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ 0 0) into 0 4.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.627 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.627 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.627 * [taylor]: Taking taylor expansion of re in re 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (* 1 1) into 1 4.628 * [backup-simplify]: Simplify (/ 1 1) into 1 4.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.628 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.628 * [taylor]: Taking taylor expansion of im in re 4.628 * [backup-simplify]: Simplify im into im 4.628 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.629 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.629 * [backup-simplify]: Simplify (+ 1 0) into 1 4.629 * [backup-simplify]: Simplify (sqrt 1) into 1 4.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.631 * [backup-simplify]: Simplify (+ 0 0) into 0 4.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.632 * [taylor]: Taking taylor expansion of 1 in im 4.632 * [backup-simplify]: Simplify 1 into 1 4.632 * [taylor]: Taking taylor expansion of 0 in im 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.635 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.635 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.635 * [taylor]: Taking taylor expansion of 1/2 in im 4.635 * [backup-simplify]: Simplify 1/2 into 1/2 4.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.636 * [taylor]: Taking taylor expansion of im in im 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 1 into 1 4.636 * [backup-simplify]: Simplify (* 1 1) into 1 4.636 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.638 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.641 * [taylor]: Taking taylor expansion of 0 in im 4.641 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.644 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.644 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.644 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.644 * [taylor]: Taking taylor expansion of re in im 4.644 * [backup-simplify]: Simplify re into re 4.644 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.644 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.644 * [taylor]: Taking taylor expansion of im in im 4.644 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify 1 into 1 4.645 * [backup-simplify]: Simplify (* 1 1) into 1 4.645 * [backup-simplify]: Simplify (/ 1 1) into 1 4.646 * [backup-simplify]: Simplify (+ 0 1) into 1 4.646 * [backup-simplify]: Simplify (sqrt 1) into 1 4.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.647 * [backup-simplify]: Simplify (+ 0 0) into 0 4.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.648 * [taylor]: Taking taylor expansion of re in re 4.648 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify (* 1 1) into 1 4.648 * [backup-simplify]: Simplify (/ 1 1) into 1 4.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.648 * [taylor]: Taking taylor expansion of im in re 4.648 * [backup-simplify]: Simplify im into im 4.649 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.649 * [backup-simplify]: Simplify (+ 1 0) into 1 4.649 * [backup-simplify]: Simplify (sqrt 1) into 1 4.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ 0 0) into 0 4.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.651 * [taylor]: Taking taylor expansion of re in re 4.651 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify 1 into 1 4.651 * [backup-simplify]: Simplify (* 1 1) into 1 4.651 * [backup-simplify]: Simplify (/ 1 1) into 1 4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.652 * [taylor]: Taking taylor expansion of im in re 4.652 * [backup-simplify]: Simplify im into im 4.652 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.652 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.652 * [backup-simplify]: Simplify (+ 1 0) into 1 4.653 * [backup-simplify]: Simplify (sqrt 1) into 1 4.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.654 * [taylor]: Taking taylor expansion of 1 in im 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [taylor]: Taking taylor expansion of 0 in im 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.657 * [taylor]: Taking taylor expansion of 1/2 in im 4.657 * [backup-simplify]: Simplify 1/2 into 1/2 4.657 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.657 * [taylor]: Taking taylor expansion of im in im 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify (* 1 1) into 1 4.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.662 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.662 * [backup-simplify]: Simplify (+ 0 0) into 0 4.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.663 * [taylor]: Taking taylor expansion of 0 in im 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.664 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.664 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.664 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 4.664 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.664 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.665 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.665 * [taylor]: Taking taylor expansion of im in im 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.665 * [taylor]: Taking taylor expansion of re in im 4.665 * [backup-simplify]: Simplify re into re 4.665 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.665 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.665 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.665 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.665 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.665 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.665 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.665 * [taylor]: Taking taylor expansion of im in re 4.665 * [backup-simplify]: Simplify im into im 4.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.665 * [taylor]: Taking taylor expansion of re in re 4.665 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify 1 into 1 4.665 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.665 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.665 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.666 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.666 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.666 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.666 * [taylor]: Taking taylor expansion of im in re 4.666 * [backup-simplify]: Simplify im into im 4.666 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.666 * [taylor]: Taking taylor expansion of re in re 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.666 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.666 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.666 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.666 * [backup-simplify]: Simplify (+ 0 0) into 0 4.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.667 * [taylor]: Taking taylor expansion of im in im 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [taylor]: Taking taylor expansion of 0 in im 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.667 * [backup-simplify]: Simplify (* 1 1) into 1 4.668 * [backup-simplify]: Simplify (+ 0 1) into 1 4.668 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.668 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.668 * [taylor]: Taking taylor expansion of 1/2 in im 4.668 * [backup-simplify]: Simplify 1/2 into 1/2 4.668 * [taylor]: Taking taylor expansion of im in im 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.670 * [backup-simplify]: Simplify (+ 0 0) into 0 4.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.670 * [taylor]: Taking taylor expansion of 0 in im 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.671 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.671 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.672 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.672 * [taylor]: Taking taylor expansion of re in im 4.672 * [backup-simplify]: Simplify re into re 4.672 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.672 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.672 * [taylor]: Taking taylor expansion of im in im 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (* 1 1) into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [backup-simplify]: Simplify (+ 0 1) into 1 4.673 * [backup-simplify]: Simplify (sqrt 1) into 1 4.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 0) into 0 4.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.675 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.675 * [taylor]: Taking taylor expansion of re in re 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (* 1 1) into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.675 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.675 * [taylor]: Taking taylor expansion of im in re 4.675 * [backup-simplify]: Simplify im into im 4.676 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.676 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.676 * [backup-simplify]: Simplify (+ 1 0) into 1 4.676 * [backup-simplify]: Simplify (sqrt 1) into 1 4.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.678 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.679 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.679 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.679 * [taylor]: Taking taylor expansion of re in re 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 1 into 1 4.680 * [backup-simplify]: Simplify (* 1 1) into 1 4.680 * [backup-simplify]: Simplify (/ 1 1) into 1 4.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.680 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.680 * [taylor]: Taking taylor expansion of im in re 4.680 * [backup-simplify]: Simplify im into im 4.680 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.680 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.681 * [backup-simplify]: Simplify (+ 1 0) into 1 4.681 * [backup-simplify]: Simplify (sqrt 1) into 1 4.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (+ 0 0) into 0 4.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.684 * [taylor]: Taking taylor expansion of 1 in im 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [taylor]: Taking taylor expansion of 0 in im 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.686 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.688 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.688 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.688 * [taylor]: Taking taylor expansion of 1/2 in im 4.688 * [backup-simplify]: Simplify 1/2 into 1/2 4.688 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.688 * [taylor]: Taking taylor expansion of im in im 4.688 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (* 1 1) into 1 4.689 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.693 * [backup-simplify]: Simplify (+ 0 0) into 0 4.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.694 * [taylor]: Taking taylor expansion of 0 in im 4.694 * [backup-simplify]: Simplify 0 into 0 4.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.696 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.696 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.696 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.697 * [taylor]: Taking taylor expansion of re in im 4.697 * [backup-simplify]: Simplify re into re 4.697 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.697 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.697 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.697 * [taylor]: Taking taylor expansion of im in im 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 1 into 1 4.697 * [backup-simplify]: Simplify (* 1 1) into 1 4.698 * [backup-simplify]: Simplify (/ 1 1) into 1 4.698 * [backup-simplify]: Simplify (+ 0 1) into 1 4.699 * [backup-simplify]: Simplify (sqrt 1) into 1 4.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.701 * [backup-simplify]: Simplify (+ 0 0) into 0 4.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.702 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.702 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.702 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.702 * [taylor]: Taking taylor expansion of re in re 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [backup-simplify]: Simplify (* 1 1) into 1 4.703 * [backup-simplify]: Simplify (/ 1 1) into 1 4.703 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.703 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.703 * [taylor]: Taking taylor expansion of im in re 4.703 * [backup-simplify]: Simplify im into im 4.703 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.703 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.703 * [backup-simplify]: Simplify (+ 1 0) into 1 4.704 * [backup-simplify]: Simplify (sqrt 1) into 1 4.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.707 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.707 * [taylor]: Taking taylor expansion of re in re 4.707 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify 1 into 1 4.707 * [backup-simplify]: Simplify (* 1 1) into 1 4.707 * [backup-simplify]: Simplify (/ 1 1) into 1 4.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.708 * [taylor]: Taking taylor expansion of im in re 4.708 * [backup-simplify]: Simplify im into im 4.708 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.708 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.708 * [backup-simplify]: Simplify (+ 1 0) into 1 4.709 * [backup-simplify]: Simplify (sqrt 1) into 1 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.710 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.711 * [taylor]: Taking taylor expansion of 1 in im 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [taylor]: Taking taylor expansion of 0 in im 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.714 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.715 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.715 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.715 * [taylor]: Taking taylor expansion of 1/2 in im 4.715 * [backup-simplify]: Simplify 1/2 into 1/2 4.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.715 * [taylor]: Taking taylor expansion of im in im 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (* 1 1) into 1 4.716 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.720 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.721 * [backup-simplify]: Simplify (+ 0 0) into 0 4.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.721 * [taylor]: Taking taylor expansion of 0 in im 4.721 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.723 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.724 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.724 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow im 2) (pow re 2))) 4.724 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 4.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 4.724 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.724 * [taylor]: Taking taylor expansion of im in im 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 1 into 1 4.724 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.724 * [taylor]: Taking taylor expansion of re in im 4.724 * [backup-simplify]: Simplify re into re 4.724 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.725 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.725 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.725 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.725 * [backup-simplify]: Simplify (+ 0 0) into 0 4.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.725 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.725 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.725 * [taylor]: Taking taylor expansion of im in re 4.725 * [backup-simplify]: Simplify im into im 4.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.726 * [taylor]: Taking taylor expansion of re in re 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.726 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.726 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.726 * [backup-simplify]: Simplify (+ 0 0) into 0 4.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 4.726 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.726 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.726 * [taylor]: Taking taylor expansion of im in re 4.727 * [backup-simplify]: Simplify im into im 4.727 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.727 * [taylor]: Taking taylor expansion of re in re 4.727 * [backup-simplify]: Simplify 0 into 0 4.727 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.727 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.727 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.727 * [backup-simplify]: Simplify (+ 0 0) into 0 4.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.728 * [taylor]: Taking taylor expansion of im in im 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 1 into 1 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [taylor]: Taking taylor expansion of 0 in im 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 1 into 1 4.728 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.729 * [backup-simplify]: Simplify (* 1 1) into 1 4.729 * [backup-simplify]: Simplify (+ 0 1) into 1 4.730 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.730 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.730 * [taylor]: Taking taylor expansion of 1/2 in im 4.730 * [backup-simplify]: Simplify 1/2 into 1/2 4.730 * [taylor]: Taking taylor expansion of im in im 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.732 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.734 * [taylor]: Taking taylor expansion of 0 in im 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.736 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.736 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.736 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.736 * [taylor]: Taking taylor expansion of re in im 4.736 * [backup-simplify]: Simplify re into re 4.736 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.736 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.736 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.737 * [taylor]: Taking taylor expansion of im in im 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (* 1 1) into 1 4.737 * [backup-simplify]: Simplify (/ 1 1) into 1 4.738 * [backup-simplify]: Simplify (+ 0 1) into 1 4.738 * [backup-simplify]: Simplify (sqrt 1) into 1 4.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.740 * [backup-simplify]: Simplify (+ 0 0) into 0 4.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.741 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.741 * [taylor]: Taking taylor expansion of re in re 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 1 into 1 4.741 * [backup-simplify]: Simplify (* 1 1) into 1 4.742 * [backup-simplify]: Simplify (/ 1 1) into 1 4.742 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.742 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.742 * [taylor]: Taking taylor expansion of im in re 4.742 * [backup-simplify]: Simplify im into im 4.742 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.742 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.742 * [backup-simplify]: Simplify (+ 1 0) into 1 4.743 * [backup-simplify]: Simplify (sqrt 1) into 1 4.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.745 * [backup-simplify]: Simplify (+ 0 0) into 0 4.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.745 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.746 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.746 * [taylor]: Taking taylor expansion of re in re 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.746 * [backup-simplify]: Simplify (* 1 1) into 1 4.746 * [backup-simplify]: Simplify (/ 1 1) into 1 4.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.746 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.746 * [taylor]: Taking taylor expansion of im in re 4.746 * [backup-simplify]: Simplify im into im 4.747 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.747 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.747 * [backup-simplify]: Simplify (+ 1 0) into 1 4.747 * [backup-simplify]: Simplify (sqrt 1) into 1 4.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.749 * [backup-simplify]: Simplify (+ 0 0) into 0 4.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.750 * [taylor]: Taking taylor expansion of 1 in im 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [taylor]: Taking taylor expansion of 0 in im 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.752 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.753 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.753 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.754 * [taylor]: Taking taylor expansion of 1/2 in im 4.754 * [backup-simplify]: Simplify 1/2 into 1/2 4.754 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.754 * [taylor]: Taking taylor expansion of im in im 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (* 1 1) into 1 4.754 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.759 * [backup-simplify]: Simplify (+ 0 0) into 0 4.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.760 * [taylor]: Taking taylor expansion of 0 in im 4.760 * [backup-simplify]: Simplify 0 into 0 4.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.763 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 4.763 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 4.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.763 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.763 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.763 * [taylor]: Taking taylor expansion of re in im 4.763 * [backup-simplify]: Simplify re into re 4.763 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.763 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.763 * [taylor]: Taking taylor expansion of im in im 4.763 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify 1 into 1 4.764 * [backup-simplify]: Simplify (* 1 1) into 1 4.764 * [backup-simplify]: Simplify (/ 1 1) into 1 4.765 * [backup-simplify]: Simplify (+ 0 1) into 1 4.765 * [backup-simplify]: Simplify (sqrt 1) into 1 4.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.767 * [backup-simplify]: Simplify (+ 0 0) into 0 4.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.768 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.768 * [taylor]: Taking taylor expansion of re in re 4.768 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify 1 into 1 4.768 * [backup-simplify]: Simplify (* 1 1) into 1 4.769 * [backup-simplify]: Simplify (/ 1 1) into 1 4.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.769 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.769 * [taylor]: Taking taylor expansion of im in re 4.769 * [backup-simplify]: Simplify im into im 4.769 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.769 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.770 * [backup-simplify]: Simplify (+ 1 0) into 1 4.770 * [backup-simplify]: Simplify (sqrt 1) into 1 4.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.773 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.773 * [taylor]: Taking taylor expansion of re in re 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (* 1 1) into 1 4.773 * [backup-simplify]: Simplify (/ 1 1) into 1 4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.774 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.774 * [taylor]: Taking taylor expansion of im in re 4.774 * [backup-simplify]: Simplify im into im 4.774 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.774 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.774 * [backup-simplify]: Simplify (+ 1 0) into 1 4.775 * [backup-simplify]: Simplify (sqrt 1) into 1 4.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.776 * [backup-simplify]: Simplify (+ 0 0) into 0 4.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.776 * [taylor]: Taking taylor expansion of 1 in im 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of 0 in im 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.778 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.778 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.778 * [taylor]: Taking taylor expansion of 1/2 in im 4.778 * [backup-simplify]: Simplify 1/2 into 1/2 4.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.779 * [taylor]: Taking taylor expansion of im in im 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [backup-simplify]: Simplify (* 1 1) into 1 4.779 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.782 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.782 * [backup-simplify]: Simplify (+ 0 0) into 0 4.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.782 * [taylor]: Taking taylor expansion of 0 in im 4.782 * [backup-simplify]: Simplify 0 into 0 4.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.784 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.784 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* re re) (* im im)))) into (pow (+ (pow im 2) (pow re 2)) 1/4) 4.784 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/4) in (re im) around 0 4.784 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/4) in im 4.784 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow im 2) (pow re 2))))) in im 4.784 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow im 2) (pow re 2)))) in im 4.784 * [taylor]: Taking taylor expansion of 1/4 in im 4.784 * [backup-simplify]: Simplify 1/4 into 1/4 4.784 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 4.784 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 4.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.784 * [taylor]: Taking taylor expansion of im in im 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.784 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.784 * [taylor]: Taking taylor expansion of re in im 4.784 * [backup-simplify]: Simplify re into re 4.784 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.784 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 4.784 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 4.784 * [backup-simplify]: Simplify (* 1/4 (log (pow re 2))) into (* 1/4 (log (pow re 2))) 4.784 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 2)))) into (pow (pow re 2) 1/4) 4.784 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/4) in re 4.785 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow im 2) (pow re 2))))) in re 4.785 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow im 2) (pow re 2)))) in re 4.785 * [taylor]: Taking taylor expansion of 1/4 in re 4.785 * [backup-simplify]: Simplify 1/4 into 1/4 4.785 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 4.785 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.785 * [taylor]: Taking taylor expansion of im in re 4.785 * [backup-simplify]: Simplify im into im 4.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.785 * [taylor]: Taking taylor expansion of re in re 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 1 into 1 4.785 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.785 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.785 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.785 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2))) 4.785 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4) 4.785 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/4) in re 4.785 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow im 2) (pow re 2))))) in re 4.785 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow im 2) (pow re 2)))) in re 4.785 * [taylor]: Taking taylor expansion of 1/4 in re 4.785 * [backup-simplify]: Simplify 1/4 into 1/4 4.785 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 4.785 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 4.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.785 * [taylor]: Taking taylor expansion of im in re 4.785 * [backup-simplify]: Simplify im into im 4.785 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.785 * [taylor]: Taking taylor expansion of re in re 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 1 into 1 4.785 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.785 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 4.785 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 4.785 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2))) 4.786 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4) 4.786 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/4) in im 4.786 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 2)))) in im 4.786 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 2))) in im 4.786 * [taylor]: Taking taylor expansion of 1/4 in im 4.786 * [backup-simplify]: Simplify 1/4 into 1/4 4.786 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 4.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.786 * [taylor]: Taking taylor expansion of im in im 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [backup-simplify]: Simplify (* 1 1) into 1 4.786 * [backup-simplify]: Simplify (log 1) into 0 4.787 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.787 * [backup-simplify]: Simplify (* 1/4 (* 2 (log im))) into (* 1/2 (log im)) 4.787 * [backup-simplify]: Simplify (exp (* 1/2 (log im))) into (pow im 1/2) 4.787 * [backup-simplify]: Simplify (pow im 1/2) into (pow im 1/2) 4.787 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.787 * [backup-simplify]: Simplify (+ 0 0) into 0 4.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 4.788 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 2)))) into 0 4.789 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.789 * [taylor]: Taking taylor expansion of 0 in im 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.790 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.791 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log im)))) into 0 4.791 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.791 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.792 * [backup-simplify]: Simplify (* 1 1) into 1 4.792 * [backup-simplify]: Simplify (+ 0 1) into 1 4.793 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 4.793 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/4 (/ 1 (pow im 2))) 4.795 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 4.795 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 4.795 * [taylor]: Taking taylor expansion of 1/4 in im 4.795 * [backup-simplify]: Simplify 1/4 into 1/4 4.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 4.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 4.795 * [taylor]: Taking taylor expansion of (pow im 3) in im 4.795 * [taylor]: Taking taylor expansion of im in im 4.795 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify 1 into 1 4.796 * [backup-simplify]: Simplify (* 1 1) into 1 4.796 * [backup-simplify]: Simplify (* 1 1) into 1 4.796 * [backup-simplify]: Simplify (/ 1 1) into 1 4.796 * [backup-simplify]: Simplify (sqrt 0) into 0 4.798 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.801 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.802 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 4.802 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.806 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 4.807 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 4.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 4.809 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.810 * [backup-simplify]: Simplify 0 into 0 4.810 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.812 * [backup-simplify]: Simplify (+ 0 0) into 0 4.815 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 4.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 4.818 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.818 * [taylor]: Taking taylor expansion of 0 in im 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.824 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 4.824 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.825 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* im (pow re 2))) (+ (* (- +nan.0) (pow (* 1 re) 2)) (pow im 1/2))) into (- (pow im 1/2) (+ (* +nan.0 (* (pow re 2) im)) (- (* +nan.0 (pow re 2))))) 4.825 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) 4.825 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) in (re im) around 0 4.825 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) in im 4.825 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.825 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.825 * [taylor]: Taking taylor expansion of 1/4 in im 4.825 * [backup-simplify]: Simplify 1/4 into 1/4 4.825 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.826 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.826 * [taylor]: Taking taylor expansion of re in im 4.826 * [backup-simplify]: Simplify re into re 4.826 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.826 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.826 * [taylor]: Taking taylor expansion of im in im 4.826 * [backup-simplify]: Simplify 0 into 0 4.826 * [backup-simplify]: Simplify 1 into 1 4.826 * [backup-simplify]: Simplify (* 1 1) into 1 4.826 * [backup-simplify]: Simplify (/ 1 1) into 1 4.827 * [backup-simplify]: Simplify (+ 0 1) into 1 4.827 * [backup-simplify]: Simplify (log 1) into 0 4.827 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.827 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im)) 4.827 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2) 4.827 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) in re 4.827 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.827 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.827 * [taylor]: Taking taylor expansion of 1/4 in re 4.827 * [backup-simplify]: Simplify 1/4 into 1/4 4.827 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.827 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.827 * [taylor]: Taking taylor expansion of re in re 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 1 into 1 4.828 * [backup-simplify]: Simplify (* 1 1) into 1 4.828 * [backup-simplify]: Simplify (/ 1 1) into 1 4.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.828 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.828 * [taylor]: Taking taylor expansion of im in re 4.828 * [backup-simplify]: Simplify im into im 4.828 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.828 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.828 * [backup-simplify]: Simplify (+ 1 0) into 1 4.829 * [backup-simplify]: Simplify (log 1) into 0 4.829 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.829 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 4.829 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 4.829 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) in re 4.829 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.829 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.829 * [taylor]: Taking taylor expansion of 1/4 in re 4.829 * [backup-simplify]: Simplify 1/4 into 1/4 4.829 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.829 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.829 * [taylor]: Taking taylor expansion of re in re 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 1 into 1 4.830 * [backup-simplify]: Simplify (* 1 1) into 1 4.830 * [backup-simplify]: Simplify (/ 1 1) into 1 4.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.830 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.830 * [taylor]: Taking taylor expansion of im in re 4.830 * [backup-simplify]: Simplify im into im 4.830 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.830 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.830 * [backup-simplify]: Simplify (+ 1 0) into 1 4.830 * [backup-simplify]: Simplify (log 1) into 0 4.831 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.831 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 4.831 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 4.831 * [taylor]: Taking taylor expansion of (pow re -1/2) in im 4.831 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im 4.831 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im 4.831 * [taylor]: Taking taylor expansion of -1/2 in im 4.831 * [backup-simplify]: Simplify -1/2 into -1/2 4.831 * [taylor]: Taking taylor expansion of (log re) in im 4.831 * [taylor]: Taking taylor expansion of re in im 4.831 * [backup-simplify]: Simplify re into re 4.831 * [backup-simplify]: Simplify (log re) into (log re) 4.831 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re)) 4.831 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 4.831 * [backup-simplify]: Simplify (pow re -1/2) into (pow re -1/2) 4.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.832 * [backup-simplify]: Simplify (+ 0 0) into 0 4.833 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.834 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.834 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0 4.834 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.834 * [taylor]: Taking taylor expansion of 0 in im 4.834 * [backup-simplify]: Simplify 0 into 0 4.834 * [backup-simplify]: Simplify 0 into 0 4.835 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.835 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0 4.836 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.837 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.838 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.839 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.839 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2))) 4.840 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 4.840 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) in im 4.840 * [taylor]: Taking taylor expansion of 1/4 in im 4.840 * [backup-simplify]: Simplify 1/4 into 1/4 4.840 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ 1 (pow im 2))) in im 4.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in im 4.840 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.840 * [taylor]: Taking taylor expansion of re in im 4.840 * [backup-simplify]: Simplify re into re 4.840 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.840 * [backup-simplify]: Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re)) 4.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0 4.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.840 * [taylor]: Taking taylor expansion of im in im 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 1 into 1 4.840 * [backup-simplify]: Simplify (* 1 1) into 1 4.841 * [backup-simplify]: Simplify (/ 1 1) into 1 4.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 4.844 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 re)))) into 0 4.845 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 4.845 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (* 0 1)) into 0 4.845 * [backup-simplify]: Simplify (* (sqrt (/ 1 re)) 1) into (sqrt (/ 1 re)) 4.846 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 re))))) into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.846 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.849 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.850 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.850 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.852 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.853 * [backup-simplify]: Simplify (+ 0 0) into 0 4.857 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.857 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.858 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.861 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.861 * [taylor]: Taking taylor expansion of 0 in im 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify 0 into 0 4.861 * [backup-simplify]: Simplify (pow (/ 1 re) -1/2) into (pow (/ 1 re) -1/2) 4.861 * [backup-simplify]: Simplify (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) 4.861 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) in (re im) around 0 4.861 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) in im 4.861 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 4.861 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 4.861 * [taylor]: Taking taylor expansion of 1/4 in im 4.861 * [backup-simplify]: Simplify 1/4 into 1/4 4.862 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 4.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 4.862 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 4.862 * [taylor]: Taking taylor expansion of (pow re 2) in im 4.862 * [taylor]: Taking taylor expansion of re in im 4.862 * [backup-simplify]: Simplify re into re 4.862 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.862 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 4.862 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.862 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.862 * [taylor]: Taking taylor expansion of im in im 4.862 * [backup-simplify]: Simplify 0 into 0 4.862 * [backup-simplify]: Simplify 1 into 1 4.862 * [backup-simplify]: Simplify (* 1 1) into 1 4.863 * [backup-simplify]: Simplify (/ 1 1) into 1 4.863 * [backup-simplify]: Simplify (+ 0 1) into 1 4.864 * [backup-simplify]: Simplify (log 1) into 0 4.864 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 4.864 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im)) 4.864 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2) 4.864 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) in re 4.864 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.864 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.864 * [taylor]: Taking taylor expansion of 1/4 in re 4.864 * [backup-simplify]: Simplify 1/4 into 1/4 4.865 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.865 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.865 * [taylor]: Taking taylor expansion of re in re 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 1 into 1 4.865 * [backup-simplify]: Simplify (* 1 1) into 1 4.865 * [backup-simplify]: Simplify (/ 1 1) into 1 4.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.866 * [taylor]: Taking taylor expansion of im in re 4.866 * [backup-simplify]: Simplify im into im 4.866 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.866 * [backup-simplify]: Simplify (+ 1 0) into 1 4.867 * [backup-simplify]: Simplify (log 1) into 0 4.867 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.867 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 4.867 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 4.867 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/4) in re 4.867 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 4.867 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 4.867 * [taylor]: Taking taylor expansion of 1/4 in re 4.867 * [backup-simplify]: Simplify 1/4 into 1/4 4.867 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 4.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 4.867 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 4.867 * [taylor]: Taking taylor expansion of (pow re 2) in re 4.868 * [taylor]: Taking taylor expansion of re in re 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify 1 into 1 4.868 * [backup-simplify]: Simplify (* 1 1) into 1 4.868 * [backup-simplify]: Simplify (/ 1 1) into 1 4.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 4.868 * [taylor]: Taking taylor expansion of (pow im 2) in re 4.868 * [taylor]: Taking taylor expansion of im in re 4.868 * [backup-simplify]: Simplify im into im 4.868 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.869 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 4.869 * [backup-simplify]: Simplify (+ 1 0) into 1 4.869 * [backup-simplify]: Simplify (log 1) into 0 4.870 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.870 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 4.870 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 4.870 * [taylor]: Taking taylor expansion of (pow re -1/2) in im 4.870 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im 4.870 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im 4.870 * [taylor]: Taking taylor expansion of -1/2 in im 4.870 * [backup-simplify]: Simplify -1/2 into -1/2 4.870 * [taylor]: Taking taylor expansion of (log re) in im 4.870 * [taylor]: Taking taylor expansion of re in im 4.870 * [backup-simplify]: Simplify re into re 4.871 * [backup-simplify]: Simplify (log re) into (log re) 4.871 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re)) 4.871 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 4.871 * [backup-simplify]: Simplify (pow re -1/2) into (pow re -1/2) 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.873 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.875 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.876 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0 4.877 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.877 * [taylor]: Taking taylor expansion of 0 in im 4.877 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify 0 into 0 4.878 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.878 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0 4.879 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 4.879 * [backup-simplify]: Simplify 0 into 0 4.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.881 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.884 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 4.884 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.885 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2))) 4.886 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 4.886 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) in im 4.886 * [taylor]: Taking taylor expansion of 1/4 in im 4.886 * [backup-simplify]: Simplify 1/4 into 1/4 4.886 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 re)) (/ 1 (pow im 2))) in im 4.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in im 4.886 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.886 * [taylor]: Taking taylor expansion of re in im 4.886 * [backup-simplify]: Simplify re into re 4.886 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.886 * [backup-simplify]: Simplify (sqrt (/ 1 re)) into (sqrt (/ 1 re)) 4.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 4.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 re)))) into 0 4.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.886 * [taylor]: Taking taylor expansion of im in im 4.886 * [backup-simplify]: Simplify 0 into 0 4.886 * [backup-simplify]: Simplify 1 into 1 4.887 * [backup-simplify]: Simplify (* 1 1) into 1 4.887 * [backup-simplify]: Simplify (/ 1 1) into 1 4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 4.892 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 re)))) into 0 4.892 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (+ (* 0 0) (* 0 1))) into 0 4.893 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 re)) 0) (* 0 1)) into 0 4.893 * [backup-simplify]: Simplify (* (sqrt (/ 1 re)) 1) into (sqrt (/ 1 re)) 4.894 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 re))))) into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 0 into 0 4.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.897 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0 4.899 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.899 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.901 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 4.902 * [backup-simplify]: Simplify (+ 0 0) into 0 4.905 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 4.906 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 4.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 4.908 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.908 * [taylor]: Taking taylor expansion of 0 in im 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.908 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/2) into (pow (/ -1 re) -1/2) 4.908 * * * [progress]: simplifying candidates 4.908 * * * * [progress]: [ 1 / 146 ] simplifiying candidate # 4.908 * * * * [progress]: [ 2 / 146 ] simplifiying candidate # 4.908 * * * * [progress]: [ 3 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 4 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 5 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 6 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 7 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 8 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 9 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 10 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 11 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 12 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 13 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 14 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 15 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 16 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 17 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 18 / 146 ] simplifiying candidate # 4.909 * * * * [progress]: [ 19 / 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[progress]: [ 128 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 129 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 130 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 131 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 132 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 133 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 134 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 135 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 136 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 137 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 138 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 139 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 140 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 141 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 142 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 143 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 144 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 145 / 146 ] simplifiying candidate # 4.914 * * * * [progress]: [ 146 / 146 ] simplifiying candidate # 4.916 * [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))) (/ 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(sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 1) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* re re) (* im im)))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- (pow im 1/2) (+ (* +nan.0 (* (pow re 2) im)) (- (* +nan.0 (pow re 2))))) (pow (/ 1 re) -1/2) (pow (/ -1 re) -1/2) 4.918 * * [simplify]: iteration 1: (127 enodes) 5.328 * * [simplify]: iteration 2: (271 enodes) 5.417 * * [simplify]: iteration 3: (606 enodes) 5.717 * * [simplify]: iteration 4: (1636 enodes) 7.320 * * [simplify]: Extracting #0: cost 50 inf + 0 7.321 * * [simplify]: Extracting #1: cost 269 inf + 6 7.327 * * [simplify]: Extracting #2: cost 691 inf + 718 7.334 * * [simplify]: Extracting #3: cost 932 inf + 20385 7.351 * * [simplify]: Extracting #4: cost 654 inf + 77945 7.392 * * [simplify]: Extracting #5: cost 402 inf + 149389 7.469 * * [simplify]: Extracting #6: cost 76 inf + 289386 7.534 * * [simplify]: Extracting #7: cost 0 inf + 324771 7.611 * [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)))) (* (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im)))) (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 (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im))))) (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im))))) (sqrt (* (+ (* 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im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im))))) (exp (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* im (* im im)) (* im (* im im)))))) (sqrt (sqrt (+ (* (* im im) (* im im)) (* (* re re) (- (* re re) (* im im)))))) (sqrt (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im))))) (sqrt (sqrt (- (* re re) (* im im)))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) im re (- re) (- (sqrt im) (* +nan.0 (- (* im (* re re)) (* re re)))) (pow (/ 1 re) -1/2) (pow (/ -1 re) -1/2) 7.620 * * * [progress]: adding candidates to table 8.998 * * [progress]: iteration 3 / 4 8.998 * * * [progress]: picking best candidate 9.007 * * * * [pick]: Picked # 9.007 * * * [progress]: localizing error 9.008 * * * [progress]: generating rewritten candidates 9.008 * * * [progress]: generating series expansions 9.008 * * * [progress]: simplifying candidates 9.009 * [simplify]: Simplifying: 9.009 * * [simplify]: iteration 1: (0 enodes) 9.009 * * [simplify]: Extracting #0: cost 0 inf + 0 9.009 * [simplify]: Simplified to: 9.009 * * * [progress]: adding candidates to table 9.010 * * [progress]: iteration 4 / 4 9.010 * * * [progress]: picking best candidate 9.016 * * * * [pick]: Picked # 9.016 * * * [progress]: localizing error 9.017 * * * [progress]: generating rewritten candidates 9.017 * * * [progress]: generating series expansions 9.017 * * * [progress]: simplifying candidates 9.017 * [simplify]: Simplifying: 9.017 * * [simplify]: iteration 1: (0 enodes) 9.017 * * [simplify]: Extracting #0: cost 0 inf + 0 9.018 * [simplify]: Simplified to: 9.018 * * * [progress]: adding candidates to table 9.018 * [progress]: [Phase 3 of 3] Extracting. 9.018 * * [regime]: Finding splitpoints for: (# # # # #) 9.019 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 9.019 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 9.082 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 9.110 * * * * [regimes]: Trying to branch on (* re re) from (# # # # #) 9.137 * * * * [regimes]: Trying to branch on (* re re) from (# # #) 9.160 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # # #) 9.200 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# #) 9.226 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # # #) 9.276 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# #) 9.321 * * * * [regimes]: Trying to branch on im from (# # # # #) 9.371 * * * * [regimes]: Trying to branch on re from (# # # # #) 9.456 * * * [regime]: Found split indices: #