12.966 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.026 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.028 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.029 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.031 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.032 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.052 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.088 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.088 * [taylor]: Taking taylor expansion of re in im 0.088 * [backup-simplify]: Simplify re into re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.088 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.088 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.088 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.089 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.089 * [taylor]: Taking taylor expansion of re in re 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [backup-simplify]: Simplify im into im 0.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.089 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.089 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.090 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.090 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [backup-simplify]: Simplify im into im 0.090 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.090 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.090 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.090 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.091 * [taylor]: Taking taylor expansion of im in im 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 1 1) into 1 0.091 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.092 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.092 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.092 * [taylor]: Taking taylor expansion of 1/2 in im 0.092 * [backup-simplify]: Simplify 1/2 into 1/2 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.094 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.094 * [backup-simplify]: Simplify (+ 0 0) into 0 0.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.095 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.095 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.095 * [backup-simplify]: Simplify 0 into 0 0.095 * [backup-simplify]: Simplify 1 into 1 0.095 * [backup-simplify]: Simplify (* 1 1) into 1 0.096 * [backup-simplify]: Simplify (/ 1 1) into 1 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.096 * [taylor]: Taking taylor expansion of re in im 0.096 * [backup-simplify]: Simplify re into re 0.096 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.096 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.096 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [backup-simplify]: Simplify (sqrt 1) into 1 0.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.098 * [taylor]: Taking taylor expansion of im in re 0.098 * [backup-simplify]: Simplify im into im 0.098 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.098 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.098 * [taylor]: Taking taylor expansion of re in re 0.098 * [backup-simplify]: Simplify 0 into 0 0.098 * [backup-simplify]: Simplify 1 into 1 0.098 * [backup-simplify]: Simplify (* 1 1) into 1 0.099 * [backup-simplify]: Simplify (/ 1 1) into 1 0.099 * [backup-simplify]: Simplify (+ 0 1) into 1 0.099 * [backup-simplify]: Simplify (sqrt 1) into 1 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.101 * [taylor]: Taking taylor expansion of im in re 0.101 * [backup-simplify]: Simplify im into im 0.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.101 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.101 * [taylor]: Taking taylor expansion of re in re 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 1 1) into 1 0.101 * [backup-simplify]: Simplify (/ 1 1) into 1 0.101 * [backup-simplify]: Simplify (+ 0 1) into 1 0.102 * [backup-simplify]: Simplify (sqrt 1) into 1 0.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.103 * [backup-simplify]: Simplify (+ 0 0) into 0 0.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.103 * [taylor]: Taking taylor expansion of 1 in im 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [taylor]: Taking taylor expansion of 0 in im 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.104 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.105 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.105 * [taylor]: Taking taylor expansion of 1/2 in im 0.105 * [backup-simplify]: Simplify 1/2 into 1/2 0.105 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.105 * [taylor]: Taking taylor expansion of im in im 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (* 1 1) into 1 0.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.108 * [taylor]: Taking taylor expansion of 0 in im 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.110 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.110 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.110 * [taylor]: Taking taylor expansion of im in im 0.110 * [backup-simplify]: Simplify 0 into 0 0.110 * [backup-simplify]: Simplify 1 into 1 0.110 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (/ 1 1) into 1 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.110 * [taylor]: Taking taylor expansion of re in im 0.110 * [backup-simplify]: Simplify re into re 0.111 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.111 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.111 * [backup-simplify]: Simplify (sqrt 1) into 1 0.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.112 * [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 im 2)) (/ 1 (pow re 2)))) in re 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.112 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.113 * [taylor]: Taking taylor expansion of re in re 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.113 * [backup-simplify]: Simplify (+ 0 1) into 1 0.114 * [backup-simplify]: Simplify (sqrt 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [backup-simplify]: Simplify im into im 0.115 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (/ 1 1) into 1 0.116 * [backup-simplify]: Simplify (+ 0 1) into 1 0.116 * [backup-simplify]: Simplify (sqrt 1) into 1 0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.118 * [taylor]: Taking taylor expansion of 1 in im 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of 0 in im 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.120 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of 1/2 in im 0.120 * [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 0.121 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.124 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.124 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.124 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.124 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.124 * [taylor]: Taking taylor expansion of re in im 0.124 * [backup-simplify]: Simplify re into re 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.124 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.124 * [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) in im 0.125 * [taylor]: Taking taylor expansion of im in im 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.125 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.125 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.125 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.125 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 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 (sqrt (+ (pow re 2) (pow im 2))) in re 0.125 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 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) in re 0.125 * [taylor]: Taking taylor expansion of im in re 0.125 * [backup-simplify]: Simplify im into im 0.125 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.125 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.126 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [backup-simplify]: Simplify im into im 0.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.126 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.126 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 im) into im 0.127 * [taylor]: Taking taylor expansion of im in im 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ 1 0) 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 1 into 1 0.127 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.128 * [backup-simplify]: Simplify (+ 1 0) into 1 0.128 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.128 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.128 * [taylor]: Taking taylor expansion of 1/2 in im 0.128 * [backup-simplify]: Simplify 1/2 into 1/2 0.128 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.132 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.132 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.132 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.132 * [taylor]: Taking taylor expansion of re in im 0.132 * [backup-simplify]: Simplify re into re 0.132 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.133 * [taylor]: Taking taylor expansion of im in im 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 re 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.133 * [taylor]: Taking taylor expansion of re in im 0.133 * [backup-simplify]: Simplify re into re 0.133 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.133 * [backup-simplify]: Simplify (+ 1 0) into 1 0.134 * [backup-simplify]: Simplify (sqrt 1) into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.136 * [backup-simplify]: Simplify im into im 0.136 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.136 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.136 * [taylor]: Taking taylor expansion of re in re 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ 0 1) into 1 0.137 * [backup-simplify]: Simplify (sqrt 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [backup-simplify]: Simplify im into im 0.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.144 * [backup-simplify]: Simplify (sqrt 1) into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.146 * [backup-simplify]: Simplify (+ 1 1) into 2 0.146 * [taylor]: Taking taylor expansion of 2 in im 0.146 * [backup-simplify]: Simplify 2 into 2 0.146 * [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 0.147 * [backup-simplify]: Simplify 2 into 2 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.148 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.149 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.149 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.149 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.149 * [taylor]: Taking taylor expansion of 1/2 in im 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.156 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.156 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.156 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.156 * [taylor]: Taking taylor expansion of re in im 0.156 * [backup-simplify]: Simplify re into re 0.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (sqrt 1) into 1 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.158 * [taylor]: Taking taylor expansion of re in im 0.158 * [backup-simplify]: Simplify re into re 0.158 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.158 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.158 * [backup-simplify]: Simplify im into im 0.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.159 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (sqrt 1) into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.161 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [backup-simplify]: Simplify im into im 0.161 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ 0 1) into 1 0.163 * [backup-simplify]: Simplify (sqrt 1) into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (- 1) into -1 0.165 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in im 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.167 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.168 * [taylor]: Taking taylor expansion of 1/2 in im 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * * * [progress]: simplifying candidates 0.175 * [simplify]: Simplifying: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) (+ re im) (* 2 re) 0 0.175 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h1 h1) (* h0 h0)))) (log1p (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (expm1 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (log1p (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) h0 h1 (* -1 h1) (+ h1 h0) (* 2 h1) 0 0.179 * * [simplify]: iteration 0 : 155 enodes (cost 205 ) 0.182 * * [simplify]: iteration 1 : 421 enodes (cost 183 ) 0.190 * * [simplify]: iteration 2 : 1067 enodes (cost 180 ) 0.210 * * [simplify]: iteration 3 : 3190 enodes (cost 179 ) 0.264 * * [simplify]: iteration 4 : 5001 enodes (cost 178 ) 0.265 * * * [progress]: adding candidates to table 0.386 * * [progress]: iteration 2 / 4 0.386 * * * [progress]: picking best candidate 0.390 * * * * [pick]: Picked # 0.390 * * * [progress]: localizing error 0.398 * * * [progress]: generating rewritten candidates 0.398 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 2) 0.403 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 2 2) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 2) 0.404 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 0.404 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.404 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.404 * [taylor]: Taking taylor expansion of re in im 0.404 * [backup-simplify]: Simplify re into re 0.404 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.404 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.404 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.404 * [taylor]: Taking taylor expansion of (* re re) in im 0.404 * [taylor]: Taking taylor expansion of re in im 0.404 * [backup-simplify]: Simplify re into re 0.404 * [taylor]: Taking taylor expansion of re in im 0.404 * [backup-simplify]: Simplify re into re 0.404 * [taylor]: Taking taylor expansion of (* im im) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [taylor]: Taking taylor expansion of im in im 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.405 * [backup-simplify]: Simplify (* 0 0) into 0 0.405 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.405 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.405 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.406 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.406 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.406 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.406 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.406 * [taylor]: Taking taylor expansion of (* re re) in re 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of re in re 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [taylor]: Taking taylor expansion of (* im im) in re 0.406 * [taylor]: Taking taylor expansion of im in re 0.406 * [backup-simplify]: Simplify im into im 0.406 * [taylor]: Taking taylor expansion of im in re 0.406 * [backup-simplify]: Simplify im into im 0.407 * [backup-simplify]: Simplify (* 0 0) into 0 0.407 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.407 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.407 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.407 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.407 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.408 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.408 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.408 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.408 * [taylor]: Taking taylor expansion of (* re re) in re 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of re in re 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [taylor]: Taking taylor expansion of (* im im) in re 0.408 * [taylor]: Taking taylor expansion of im in re 0.408 * [backup-simplify]: Simplify im into im 0.408 * [taylor]: Taking taylor expansion of im in re 0.408 * [backup-simplify]: Simplify im into im 0.408 * [backup-simplify]: Simplify (* 0 0) into 0 0.408 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.408 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.408 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.409 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.409 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 im) into im 0.409 * [taylor]: Taking taylor expansion of im in im 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ 1 0) into 1 0.410 * [taylor]: Taking taylor expansion of 1 in im 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.410 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.411 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.411 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.411 * [taylor]: Taking taylor expansion of 1/2 in im 0.411 * [backup-simplify]: Simplify 1/2 into 1/2 0.411 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.411 * [taylor]: Taking taylor expansion of im in im 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.413 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.414 * [backup-simplify]: Simplify (+ 0 0) into 0 0.414 * [taylor]: Taking taylor expansion of 0 in im 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.415 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.415 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.415 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.415 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.415 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.415 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.415 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.415 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.415 * [taylor]: Taking taylor expansion of re in im 0.416 * [backup-simplify]: Simplify re into re 0.416 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.416 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.416 * [taylor]: Taking taylor expansion of re in im 0.416 * [backup-simplify]: Simplify re into re 0.416 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.416 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.416 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.416 * [taylor]: Taking taylor expansion of im in im 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.416 * [taylor]: Taking taylor expansion of im in im 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify (+ 0 1) into 1 0.417 * [backup-simplify]: Simplify (sqrt 1) into 1 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.419 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.419 * [taylor]: Taking taylor expansion of re in im 0.419 * [backup-simplify]: Simplify re into re 0.419 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.419 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.419 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.419 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.419 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.419 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.420 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [backup-simplify]: Simplify im into im 0.420 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.420 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.420 * [taylor]: Taking taylor expansion of im in re 0.420 * [backup-simplify]: Simplify im into im 0.420 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 1 0) into 1 0.420 * [backup-simplify]: Simplify (sqrt 1) into 1 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.427 * [taylor]: Taking taylor expansion of re in re 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.427 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.427 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.427 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.427 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.427 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.427 * [taylor]: Taking taylor expansion of re in re 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.428 * [taylor]: Taking taylor expansion of re in re 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (/ 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.428 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.428 * [taylor]: Taking taylor expansion of im in re 0.428 * [backup-simplify]: Simplify im into im 0.428 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.428 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.428 * [taylor]: Taking taylor expansion of im in re 0.428 * [backup-simplify]: Simplify im into im 0.428 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ 1 0) into 1 0.429 * [backup-simplify]: Simplify (sqrt 1) into 1 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.430 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.430 * [taylor]: Taking taylor expansion of re in re 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (+ 1 1) into 2 0.431 * [taylor]: Taking taylor expansion of 2 in im 0.431 * [backup-simplify]: Simplify 2 into 2 0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [taylor]: Taking taylor expansion of 0 in im 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify 2 into 2 0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.433 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.433 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.434 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.435 * [taylor]: Taking taylor expansion of 1/2 in im 0.435 * [backup-simplify]: Simplify 1/2 into 1/2 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.435 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.435 * [taylor]: Taking taylor expansion of im in im 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.440 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [taylor]: Taking taylor expansion of 0 in im 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.441 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.441 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.441 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.441 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.442 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.442 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.442 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.442 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.442 * [taylor]: Taking taylor expansion of -1 in im 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of re in im 0.442 * [backup-simplify]: Simplify re into re 0.442 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.442 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.442 * [taylor]: Taking taylor expansion of -1 in im 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of re in im 0.442 * [backup-simplify]: Simplify re into re 0.442 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.442 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.442 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.442 * [taylor]: Taking taylor expansion of -1 in im 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of im in im 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ -1 1) into -1 0.442 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.442 * [taylor]: Taking taylor expansion of -1 in im 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of im in im 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (/ -1 1) into -1 0.443 * [backup-simplify]: Simplify (* -1 -1) into 1 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.445 * [taylor]: Taking taylor expansion of re in im 0.445 * [backup-simplify]: Simplify re into re 0.445 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.445 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.445 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.445 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.445 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.445 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.445 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.445 * [taylor]: Taking taylor expansion of -1 in re 0.445 * [backup-simplify]: Simplify -1 into -1 0.445 * [taylor]: Taking taylor expansion of re in re 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ -1 1) into -1 0.446 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.446 * [taylor]: Taking taylor expansion of -1 in re 0.446 * [backup-simplify]: Simplify -1 into -1 0.446 * [taylor]: Taking taylor expansion of re in re 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ -1 1) into -1 0.446 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.446 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.446 * [taylor]: Taking taylor expansion of -1 in re 0.446 * [backup-simplify]: Simplify -1 into -1 0.446 * [taylor]: Taking taylor expansion of im in re 0.446 * [backup-simplify]: Simplify im into im 0.446 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.446 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.446 * [taylor]: Taking taylor expansion of -1 in re 0.446 * [backup-simplify]: Simplify -1 into -1 0.446 * [taylor]: Taking taylor expansion of im in re 0.446 * [backup-simplify]: Simplify im into im 0.446 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.446 * [backup-simplify]: Simplify (* -1 -1) into 1 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.447 * [backup-simplify]: Simplify (sqrt 1) into 1 0.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.448 * [backup-simplify]: Simplify (+ 0 0) into 0 0.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.449 * [taylor]: Taking taylor expansion of re in re 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.449 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.449 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.449 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.449 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.449 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.449 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.449 * [taylor]: Taking taylor expansion of -1 in re 0.449 * [backup-simplify]: Simplify -1 into -1 0.449 * [taylor]: Taking taylor expansion of re in re 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ -1 1) into -1 0.450 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.450 * [taylor]: Taking taylor expansion of -1 in re 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of re in re 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (/ -1 1) into -1 0.450 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.450 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.450 * [taylor]: Taking taylor expansion of -1 in re 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of im in re 0.450 * [backup-simplify]: Simplify im into im 0.450 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.450 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.450 * [taylor]: Taking taylor expansion of -1 in re 0.450 * [backup-simplify]: Simplify -1 into -1 0.450 * [taylor]: Taking taylor expansion of im in re 0.450 * [backup-simplify]: Simplify im into im 0.450 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.450 * [backup-simplify]: Simplify (* -1 -1) into 1 0.451 * [backup-simplify]: Simplify (+ 1 0) into 1 0.451 * [backup-simplify]: Simplify (sqrt 1) into 1 0.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.453 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.453 * [taylor]: Taking taylor expansion of re in re 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ 1 1) into 1 0.453 * [backup-simplify]: Simplify (- 1) into -1 0.454 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.454 * [taylor]: Taking taylor expansion of 0 in im 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [taylor]: Taking taylor expansion of 0 in im 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.456 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.456 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.457 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.458 * [taylor]: Taking taylor expansion of 1/2 in im 0.458 * [backup-simplify]: Simplify 1/2 into 1/2 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.458 * [taylor]: Taking taylor expansion of im in im 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify (* 1 1) into 1 0.458 * [backup-simplify]: Simplify (/ 1 1) into 1 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.461 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.461 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [taylor]: Taking taylor expansion of 0 in im 0.463 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 2 2) 0.465 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.465 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.465 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.465 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.465 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.465 * [taylor]: Taking taylor expansion of (* re re) in im 0.465 * [taylor]: Taking taylor expansion of re in im 0.465 * [backup-simplify]: Simplify re into re 0.465 * [taylor]: Taking taylor expansion of re in im 0.465 * [backup-simplify]: Simplify re into re 0.465 * [taylor]: Taking taylor expansion of (* im im) in im 0.465 * [taylor]: Taking taylor expansion of im in im 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [taylor]: Taking taylor expansion of im in im 0.465 * [backup-simplify]: Simplify 0 into 0 0.465 * [backup-simplify]: Simplify 1 into 1 0.465 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.465 * [backup-simplify]: Simplify (* 0 0) into 0 0.465 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.465 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.466 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.466 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.466 * [backup-simplify]: Simplify (+ 0 0) into 0 0.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.466 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.466 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.466 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.466 * [taylor]: Taking taylor expansion of (* re re) in re 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of re in re 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 1 into 1 0.466 * [taylor]: Taking taylor expansion of (* im im) in re 0.466 * [taylor]: Taking taylor expansion of im in re 0.466 * [backup-simplify]: Simplify im into im 0.466 * [taylor]: Taking taylor expansion of im in re 0.467 * [backup-simplify]: Simplify im into im 0.467 * [backup-simplify]: Simplify (* 0 0) into 0 0.467 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.467 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.467 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.467 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.468 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.468 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.468 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.468 * [taylor]: Taking taylor expansion of (* re re) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of re in re 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [taylor]: Taking taylor expansion of (* im im) in re 0.468 * [taylor]: Taking taylor expansion of im in re 0.468 * [backup-simplify]: Simplify im into im 0.468 * [taylor]: Taking taylor expansion of im in re 0.468 * [backup-simplify]: Simplify im into im 0.468 * [backup-simplify]: Simplify (* 0 0) into 0 0.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.468 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.468 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.469 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.469 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.469 * [taylor]: Taking taylor expansion of im in im 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [taylor]: Taking taylor expansion of 0 in im 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.470 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.470 * [backup-simplify]: Simplify (+ 1 0) into 1 0.471 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.471 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.471 * [taylor]: Taking taylor expansion of 1/2 in im 0.471 * [backup-simplify]: Simplify 1/2 into 1/2 0.471 * [taylor]: Taking taylor expansion of im in im 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.475 * [taylor]: Taking taylor expansion of 0 in im 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.475 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.475 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.475 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.475 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.475 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.475 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.475 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.475 * [taylor]: Taking taylor expansion of re in im 0.476 * [backup-simplify]: Simplify re into re 0.476 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.476 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.476 * [taylor]: Taking taylor expansion of re in im 0.476 * [backup-simplify]: Simplify re into re 0.476 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.476 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.476 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.476 * [taylor]: Taking taylor expansion of im in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.476 * [taylor]: Taking taylor expansion of im in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [backup-simplify]: Simplify (* 1 1) into 1 0.477 * [backup-simplify]: Simplify (+ 0 1) into 1 0.477 * [backup-simplify]: Simplify (sqrt 1) into 1 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.479 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.479 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.479 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.479 * [taylor]: Taking taylor expansion of re in re 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.479 * [taylor]: Taking taylor expansion of re in re 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.479 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.479 * [taylor]: Taking taylor expansion of im in re 0.479 * [backup-simplify]: Simplify im into im 0.479 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.480 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.480 * [taylor]: Taking taylor expansion of im in re 0.480 * [backup-simplify]: Simplify im into im 0.480 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (+ 1 0) into 1 0.480 * [backup-simplify]: Simplify (sqrt 1) into 1 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.482 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.482 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.482 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.482 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.482 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.482 * [taylor]: Taking taylor expansion of re in re 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.483 * [taylor]: Taking taylor expansion of re in re 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (/ 1 1) into 1 0.483 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.483 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.483 * [taylor]: Taking taylor expansion of im in re 0.483 * [backup-simplify]: Simplify im into im 0.483 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.483 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.483 * [taylor]: Taking taylor expansion of im in re 0.483 * [backup-simplify]: Simplify im into im 0.483 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.483 * [backup-simplify]: Simplify (* 1 1) into 1 0.483 * [backup-simplify]: Simplify (+ 1 0) into 1 0.484 * [backup-simplify]: Simplify (sqrt 1) into 1 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ 0 0) into 0 0.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.486 * [taylor]: Taking taylor expansion of 1 in im 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [taylor]: Taking taylor expansion of 0 in im 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.487 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.488 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.488 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.488 * [taylor]: Taking taylor expansion of 1/2 in im 0.488 * [backup-simplify]: Simplify 1/2 into 1/2 0.488 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.488 * [taylor]: Taking taylor expansion of im in im 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.489 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.492 * [taylor]: Taking taylor expansion of 0 in im 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.493 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.493 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.493 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.493 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.493 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.493 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.493 * [taylor]: Taking taylor expansion of -1 in im 0.493 * [backup-simplify]: Simplify -1 into -1 0.493 * [taylor]: Taking taylor expansion of re in im 0.494 * [backup-simplify]: Simplify re into re 0.494 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.494 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.494 * [taylor]: Taking taylor expansion of -1 in im 0.494 * [backup-simplify]: Simplify -1 into -1 0.494 * [taylor]: Taking taylor expansion of re in im 0.494 * [backup-simplify]: Simplify re into re 0.494 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.494 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.494 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.494 * [taylor]: Taking taylor expansion of -1 in im 0.494 * [backup-simplify]: Simplify -1 into -1 0.494 * [taylor]: Taking taylor expansion of im in im 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (/ -1 1) into -1 0.494 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.494 * [taylor]: Taking taylor expansion of -1 in im 0.494 * [backup-simplify]: Simplify -1 into -1 0.494 * [taylor]: Taking taylor expansion of im in im 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (/ -1 1) into -1 0.495 * [backup-simplify]: Simplify (* -1 -1) into 1 0.495 * [backup-simplify]: Simplify (+ 0 1) into 1 0.495 * [backup-simplify]: Simplify (sqrt 1) into 1 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.497 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.497 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.497 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.497 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.497 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.497 * [taylor]: Taking taylor expansion of -1 in re 0.497 * [backup-simplify]: Simplify -1 into -1 0.497 * [taylor]: Taking taylor expansion of re in re 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ -1 1) into -1 0.497 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.497 * [taylor]: Taking taylor expansion of -1 in re 0.497 * [backup-simplify]: Simplify -1 into -1 0.497 * [taylor]: Taking taylor expansion of re in re 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (/ -1 1) into -1 0.498 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [backup-simplify]: Simplify -1 into -1 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [backup-simplify]: Simplify im into im 0.498 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.498 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.498 * [taylor]: Taking taylor expansion of -1 in re 0.498 * [backup-simplify]: Simplify -1 into -1 0.498 * [taylor]: Taking taylor expansion of im in re 0.498 * [backup-simplify]: Simplify im into im 0.498 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.498 * [backup-simplify]: Simplify (* -1 -1) into 1 0.498 * [backup-simplify]: Simplify (+ 1 0) into 1 0.499 * [backup-simplify]: Simplify (sqrt 1) into 1 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.500 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.501 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.501 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.501 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.501 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.501 * [taylor]: Taking taylor expansion of -1 in re 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of re in re 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ -1 1) into -1 0.501 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.501 * [taylor]: Taking taylor expansion of -1 in re 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of re in re 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ -1 1) into -1 0.501 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.501 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.501 * [taylor]: Taking taylor expansion of -1 in re 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of im in re 0.501 * [backup-simplify]: Simplify im into im 0.501 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.501 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.501 * [taylor]: Taking taylor expansion of -1 in re 0.501 * [backup-simplify]: Simplify -1 into -1 0.502 * [taylor]: Taking taylor expansion of im in re 0.502 * [backup-simplify]: Simplify im into im 0.502 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.502 * [backup-simplify]: Simplify (* -1 -1) into 1 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (sqrt 1) into 1 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.504 * [taylor]: Taking taylor expansion of 1 in im 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [taylor]: Taking taylor expansion of 0 in im 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.506 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.506 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.507 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.507 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.507 * [taylor]: Taking taylor expansion of 1/2 in im 0.507 * [backup-simplify]: Simplify 1/2 into 1/2 0.507 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.507 * [taylor]: Taking taylor expansion of im in im 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.510 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.510 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.510 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.510 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.511 * [taylor]: Taking taylor expansion of 0 in im 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.512 * * * [progress]: simplifying candidates 0.512 * [simplify]: Simplifying: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) 0.513 * [simplify]: Sending expressions to egg_math: (expm1 (+ h1 (hypot h1 h0))) (log1p (+ h1 (hypot h1 h0))) (* (exp h1) (exp (hypot h1 h0))) (log (+ h1 (hypot h1 h0))) (exp (+ h1 (hypot h1 h0))) (* (cbrt (+ h1 (hypot h1 h0))) (cbrt (+ h1 (hypot h1 h0)))) (cbrt (+ h1 (hypot h1 h0))) (* (* (+ h1 (hypot h1 h0)) (+ h1 (hypot h1 h0))) (+ h1 (hypot h1 h0))) (sqrt (+ h1 (hypot h1 h0))) (sqrt (+ h1 (hypot h1 h0))) (+ (pow h1 3) (pow (hypot h1 h0) 3)) (+ (* h1 h1) (- (* (hypot h1 h0) (hypot h1 h0)) (* h1 (hypot h1 h0)))) (- (* h1 h1) (* (hypot h1 h0) (hypot h1 h0))) (- h1 (hypot h1 h0)) (+ h1 (hypot h1 h0)) (expm1 (hypot h1 h0)) (log1p (hypot h1 h0)) (+ (* h1 h1) (* h0 h0)) (log (hypot h1 h0)) (exp (hypot h1 h0)) (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (cbrt (hypot h1 h0)) (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0)) (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)) (+ h1 h0) (* 2 h1) 0 h0 h1 (* -1 h1) 0.515 * * [simplify]: iteration 0 : 88 enodes (cost 84 ) 0.518 * * [simplify]: iteration 1 : 176 enodes (cost 78 ) 0.521 * * [simplify]: iteration 2 : 370 enodes (cost 78 ) 0.527 * * [simplify]: iteration 3 : 1004 enodes (cost 78 ) 0.545 * * [simplify]: iteration 4 : 3138 enodes (cost 78 ) 0.587 * * [simplify]: iteration 5 : 5001 enodes (cost 78 ) 0.589 * * * [progress]: adding candidates to table 0.678 * * [progress]: iteration 3 / 4 0.678 * * * [progress]: picking best candidate 0.687 * * * * [pick]: Picked # 0.687 * * * [progress]: localizing error 0.698 * * * [progress]: generating rewritten candidates 0.698 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 0.703 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 2) 0.719 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2 2 1) 0.720 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1 1) 0.722 * * * [progress]: generating series expansions 0.722 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 0.722 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im)) 0.722 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.722 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.723 * [taylor]: Taking taylor expansion of re in im 0.723 * [backup-simplify]: Simplify re into re 0.723 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.723 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.723 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.723 * [taylor]: Taking taylor expansion of (* re re) in im 0.723 * [taylor]: Taking taylor expansion of re in im 0.723 * [backup-simplify]: Simplify re into re 0.723 * [taylor]: Taking taylor expansion of re in im 0.723 * [backup-simplify]: Simplify re into re 0.723 * [taylor]: Taking taylor expansion of (* im im) in im 0.723 * [taylor]: Taking taylor expansion of im in im 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [taylor]: Taking taylor expansion of im in im 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.723 * [backup-simplify]: Simplify (* 0 0) into 0 0.724 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.724 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.724 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.724 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.724 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.725 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.725 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.725 * [taylor]: Taking taylor expansion of (* re re) in re 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (* im im) in re 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [backup-simplify]: Simplify (* 0 0) into 0 0.725 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.725 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.725 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.726 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.726 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.726 * [taylor]: Taking taylor expansion of re in re 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.726 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.726 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.726 * [taylor]: Taking taylor expansion of (* re re) in re 0.726 * [taylor]: Taking taylor expansion of re in re 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [taylor]: Taking taylor expansion of re in re 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [taylor]: Taking taylor expansion of (* im im) in re 0.726 * [taylor]: Taking taylor expansion of im in re 0.726 * [backup-simplify]: Simplify im into im 0.726 * [taylor]: Taking taylor expansion of im in re 0.726 * [backup-simplify]: Simplify im into im 0.727 * [backup-simplify]: Simplify (* 0 0) into 0 0.727 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.727 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.727 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.727 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.728 * [backup-simplify]: Simplify (+ 0 im) into im 0.728 * [taylor]: Taking taylor expansion of im in im 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (+ 1 0) into 1 0.728 * [taylor]: Taking taylor expansion of 1 in im 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.729 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.729 * [backup-simplify]: Simplify (+ 1 0) into 1 0.729 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.729 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.730 * [taylor]: Taking taylor expansion of 1/2 in im 0.730 * [backup-simplify]: Simplify 1/2 into 1/2 0.730 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.730 * [taylor]: Taking taylor expansion of im in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.730 * [backup-simplify]: Simplify (/ 1 1) into 1 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.732 * [taylor]: Taking taylor expansion of 0 in im 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.734 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.734 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.734 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.735 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.735 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.735 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.735 * [backup-simplify]: Simplify re into re 0.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.735 * [taylor]: Taking taylor expansion of re in im 0.735 * [backup-simplify]: Simplify re into re 0.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.735 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.735 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.735 * [taylor]: Taking taylor expansion of im in im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.736 * [backup-simplify]: Simplify (+ 0 1) into 1 0.736 * [backup-simplify]: Simplify (sqrt 1) into 1 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.738 * [taylor]: Taking taylor expansion of re in im 0.738 * [backup-simplify]: Simplify re into re 0.738 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.738 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.738 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.738 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.738 * [taylor]: Taking taylor expansion of re in re 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.739 * [taylor]: Taking taylor expansion of re in re 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.739 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.739 * [taylor]: Taking taylor expansion of im in re 0.739 * [backup-simplify]: Simplify im into im 0.739 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.739 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.739 * [taylor]: Taking taylor expansion of im in re 0.739 * [backup-simplify]: Simplify im into im 0.739 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.739 * [backup-simplify]: Simplify (* 1 1) into 1 0.740 * [backup-simplify]: Simplify (+ 1 0) into 1 0.740 * [backup-simplify]: Simplify (sqrt 1) into 1 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.742 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.742 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.742 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.742 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.742 * [backup-simplify]: Simplify 0 into 0 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (/ 1 1) into 1 0.742 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.742 * [taylor]: Taking taylor expansion of re in re 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (/ 1 1) into 1 0.743 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.743 * [backup-simplify]: Simplify im into im 0.743 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.743 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.743 * [taylor]: Taking taylor expansion of im in re 0.743 * [backup-simplify]: Simplify im into im 0.743 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.743 * [backup-simplify]: Simplify (* 1 1) into 1 0.743 * [backup-simplify]: Simplify (+ 1 0) into 1 0.744 * [backup-simplify]: Simplify (sqrt 1) into 1 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.745 * [taylor]: Taking taylor expansion of re in re 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (/ 1 1) into 1 0.746 * [backup-simplify]: Simplify (+ 1 1) into 2 0.746 * [taylor]: Taking taylor expansion of 2 in im 0.746 * [backup-simplify]: Simplify 2 into 2 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [taylor]: Taking taylor expansion of 0 in im 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 2 into 2 0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.748 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.748 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.749 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.750 * [taylor]: Taking taylor expansion of 1/2 in im 0.750 * [backup-simplify]: Simplify 1/2 into 1/2 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.750 * [taylor]: Taking taylor expansion of im in im 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* 1 1) into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.753 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [taylor]: Taking taylor expansion of 0 in im 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.756 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.756 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.756 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.756 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.757 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.757 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.757 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.757 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.757 * [taylor]: Taking taylor expansion of -1 in im 0.757 * [backup-simplify]: Simplify -1 into -1 0.757 * [taylor]: Taking taylor expansion of re in im 0.757 * [backup-simplify]: Simplify re into re 0.757 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.757 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.757 * [taylor]: Taking taylor expansion of -1 in im 0.757 * [backup-simplify]: Simplify -1 into -1 0.757 * [taylor]: Taking taylor expansion of re in im 0.757 * [backup-simplify]: Simplify re into re 0.757 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.757 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.757 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.757 * [taylor]: Taking taylor expansion of -1 in im 0.757 * [backup-simplify]: Simplify -1 into -1 0.757 * [taylor]: Taking taylor expansion of im in im 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (/ -1 1) into -1 0.757 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.757 * [taylor]: Taking taylor expansion of -1 in im 0.757 * [backup-simplify]: Simplify -1 into -1 0.757 * [taylor]: Taking taylor expansion of im in im 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (/ -1 1) into -1 0.758 * [backup-simplify]: Simplify (* -1 -1) into 1 0.758 * [backup-simplify]: Simplify (+ 0 1) into 1 0.758 * [backup-simplify]: Simplify (sqrt 1) into 1 0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.760 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.760 * [taylor]: Taking taylor expansion of re in im 0.760 * [backup-simplify]: Simplify re into re 0.760 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.760 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.760 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.760 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.760 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.760 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.760 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.760 * [taylor]: Taking taylor expansion of -1 in re 0.760 * [backup-simplify]: Simplify -1 into -1 0.760 * [taylor]: Taking taylor expansion of re in re 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (/ -1 1) into -1 0.761 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.761 * [taylor]: Taking taylor expansion of -1 in re 0.761 * [backup-simplify]: Simplify -1 into -1 0.761 * [taylor]: Taking taylor expansion of re in re 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (/ -1 1) into -1 0.761 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.761 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.761 * [taylor]: Taking taylor expansion of -1 in re 0.761 * [backup-simplify]: Simplify -1 into -1 0.761 * [taylor]: Taking taylor expansion of im in re 0.761 * [backup-simplify]: Simplify im into im 0.761 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.761 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.761 * [taylor]: Taking taylor expansion of -1 in re 0.761 * [backup-simplify]: Simplify -1 into -1 0.761 * [taylor]: Taking taylor expansion of im in re 0.761 * [backup-simplify]: Simplify im into im 0.761 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.761 * [backup-simplify]: Simplify (* -1 -1) into 1 0.762 * [backup-simplify]: Simplify (+ 1 0) into 1 0.762 * [backup-simplify]: Simplify (sqrt 1) into 1 0.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.764 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.764 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.764 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.764 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.764 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.764 * [taylor]: Taking taylor expansion of -1 in re 0.764 * [backup-simplify]: Simplify -1 into -1 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ -1 1) into -1 0.765 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.765 * [taylor]: Taking taylor expansion of -1 in re 0.765 * [backup-simplify]: Simplify -1 into -1 0.765 * [taylor]: Taking taylor expansion of re in re 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 1 into 1 0.765 * [backup-simplify]: Simplify (/ -1 1) into -1 0.765 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.765 * [taylor]: Taking taylor expansion of -1 in re 0.765 * [backup-simplify]: Simplify -1 into -1 0.765 * [taylor]: Taking taylor expansion of im in re 0.765 * [backup-simplify]: Simplify im into im 0.765 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.765 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.765 * [taylor]: Taking taylor expansion of -1 in re 0.765 * [backup-simplify]: Simplify -1 into -1 0.765 * [taylor]: Taking taylor expansion of im in re 0.765 * [backup-simplify]: Simplify im into im 0.765 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.765 * [backup-simplify]: Simplify (* -1 -1) into 1 0.766 * [backup-simplify]: Simplify (+ 1 0) into 1 0.766 * [backup-simplify]: Simplify (sqrt 1) into 1 0.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.767 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.768 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [backup-simplify]: Simplify (- 1) into -1 0.768 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.769 * [taylor]: Taking taylor expansion of 0 in im 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- 0) into 0 0.769 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [taylor]: Taking taylor expansion of 0 in im 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.771 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.771 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.772 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- 0) into 0 0.773 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.773 * [taylor]: Taking taylor expansion of 1/2 in im 0.773 * [backup-simplify]: Simplify 1/2 into 1/2 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.776 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (- 0) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [taylor]: Taking taylor expansion of 0 in im 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 2) 0.780 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 0.780 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.780 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.780 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.780 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.780 * [taylor]: Taking taylor expansion of (* re re) in im 0.780 * [taylor]: Taking taylor expansion of re in im 0.780 * [backup-simplify]: Simplify re into re 0.780 * [taylor]: Taking taylor expansion of re in im 0.780 * [backup-simplify]: Simplify re into re 0.780 * [taylor]: Taking taylor expansion of (* im im) in im 0.780 * [taylor]: Taking taylor expansion of im in im 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [taylor]: Taking taylor expansion of im in im 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify 1 into 1 0.780 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.780 * [backup-simplify]: Simplify (* 0 0) into 0 0.780 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.780 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.780 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.781 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.781 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.781 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.781 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.781 * [taylor]: Taking taylor expansion of (* re re) in re 0.781 * [taylor]: Taking taylor expansion of re in re 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [taylor]: Taking taylor expansion of re in re 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [taylor]: Taking taylor expansion of (* im im) in re 0.781 * [taylor]: Taking taylor expansion of im in re 0.781 * [backup-simplify]: Simplify im into im 0.781 * [taylor]: Taking taylor expansion of im in re 0.781 * [backup-simplify]: Simplify im into im 0.782 * [backup-simplify]: Simplify (* 0 0) into 0 0.782 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.782 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.782 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.782 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.782 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.782 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.783 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.783 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.783 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.783 * [taylor]: Taking taylor expansion of (* re re) in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of (* im im) in re 0.783 * [taylor]: Taking taylor expansion of im in re 0.783 * [backup-simplify]: Simplify im into im 0.783 * [taylor]: Taking taylor expansion of im in re 0.783 * [backup-simplify]: Simplify im into im 0.783 * [backup-simplify]: Simplify (* 0 0) into 0 0.783 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.783 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.783 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.784 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.784 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.784 * [taylor]: Taking taylor expansion of im in im 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [taylor]: Taking taylor expansion of 0 in im 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.785 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.785 * [backup-simplify]: Simplify (+ 1 0) into 1 0.786 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.786 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.786 * [taylor]: Taking taylor expansion of 1/2 in im 0.786 * [backup-simplify]: Simplify 1/2 into 1/2 0.786 * [taylor]: Taking taylor expansion of im in im 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.787 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.788 * [taylor]: Taking taylor expansion of 0 in im 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.789 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 0.789 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.789 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.789 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.789 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.789 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.789 * [backup-simplify]: Simplify re into re 0.789 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.789 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.789 * [taylor]: Taking taylor expansion of re in im 0.789 * [backup-simplify]: Simplify re into re 0.789 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.789 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.789 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.789 * [taylor]: Taking taylor expansion of im in im 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [backup-simplify]: Simplify (/ 1 1) into 1 0.789 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.790 * [taylor]: Taking taylor expansion of im in im 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (+ 0 1) into 1 0.790 * [backup-simplify]: Simplify (sqrt 1) into 1 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.792 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.792 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.792 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.792 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.792 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.793 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.793 * [taylor]: Taking taylor expansion of im in re 0.793 * [backup-simplify]: Simplify im into im 0.793 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.793 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.793 * [taylor]: Taking taylor expansion of im in re 0.793 * [backup-simplify]: Simplify im into im 0.793 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.794 * [backup-simplify]: Simplify (+ 1 0) into 1 0.794 * [backup-simplify]: Simplify (sqrt 1) into 1 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.802 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.802 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.802 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.802 * [taylor]: Taking taylor expansion of re in re 0.802 * [backup-simplify]: Simplify 0 into 0 0.802 * [backup-simplify]: Simplify 1 into 1 0.802 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.802 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.802 * [taylor]: Taking taylor expansion of im in re 0.802 * [backup-simplify]: Simplify im into im 0.803 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.803 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.803 * [backup-simplify]: Simplify im into im 0.803 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.803 * [backup-simplify]: Simplify (* 1 1) into 1 0.803 * [backup-simplify]: Simplify (+ 1 0) into 1 0.803 * [backup-simplify]: Simplify (sqrt 1) into 1 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.805 * [taylor]: Taking taylor expansion of 1 in im 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [taylor]: Taking taylor expansion of 0 in im 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.807 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.807 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.808 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.808 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.808 * [taylor]: Taking taylor expansion of 1/2 in im 0.808 * [backup-simplify]: Simplify 1/2 into 1/2 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.811 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.811 * [taylor]: Taking taylor expansion of 0 in im 0.811 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.813 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 0.813 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.813 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.813 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.813 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.813 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.813 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.813 * [taylor]: Taking taylor expansion of -1 in im 0.813 * [backup-simplify]: Simplify -1 into -1 0.813 * [taylor]: Taking taylor expansion of re in im 0.813 * [backup-simplify]: Simplify re into re 0.813 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.813 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.813 * [taylor]: Taking taylor expansion of -1 in im 0.813 * [backup-simplify]: Simplify -1 into -1 0.813 * [taylor]: Taking taylor expansion of re in im 0.813 * [backup-simplify]: Simplify re into re 0.813 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.813 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.813 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.813 * [taylor]: Taking taylor expansion of -1 in im 0.813 * [backup-simplify]: Simplify -1 into -1 0.813 * [taylor]: Taking taylor expansion of im in im 0.813 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (/ -1 1) into -1 0.814 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.814 * [taylor]: Taking taylor expansion of -1 in im 0.814 * [backup-simplify]: Simplify -1 into -1 0.814 * [taylor]: Taking taylor expansion of im in im 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (/ -1 1) into -1 0.814 * [backup-simplify]: Simplify (* -1 -1) into 1 0.814 * [backup-simplify]: Simplify (+ 0 1) into 1 0.815 * [backup-simplify]: Simplify (sqrt 1) into 1 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.816 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.816 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.816 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.817 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.817 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.817 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.817 * [taylor]: Taking taylor expansion of -1 in re 0.817 * [backup-simplify]: Simplify -1 into -1 0.817 * [taylor]: Taking taylor expansion of re in re 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (/ -1 1) into -1 0.817 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.817 * [taylor]: Taking taylor expansion of -1 in re 0.817 * [backup-simplify]: Simplify -1 into -1 0.817 * [taylor]: Taking taylor expansion of re in re 0.817 * [backup-simplify]: Simplify 0 into 0 0.817 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (/ -1 1) into -1 0.817 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.817 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.817 * [taylor]: Taking taylor expansion of -1 in re 0.817 * [backup-simplify]: Simplify -1 into -1 0.817 * [taylor]: Taking taylor expansion of im in re 0.817 * [backup-simplify]: Simplify im into im 0.817 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.817 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.817 * [taylor]: Taking taylor expansion of -1 in re 0.817 * [backup-simplify]: Simplify -1 into -1 0.817 * [taylor]: Taking taylor expansion of im in re 0.817 * [backup-simplify]: Simplify im into im 0.817 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.818 * [backup-simplify]: Simplify (* -1 -1) into 1 0.818 * [backup-simplify]: Simplify (+ 1 0) into 1 0.818 * [backup-simplify]: Simplify (sqrt 1) into 1 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.820 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.820 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.820 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.820 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.820 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.820 * [taylor]: Taking taylor expansion of -1 in re 0.820 * [backup-simplify]: Simplify -1 into -1 0.820 * [taylor]: Taking taylor expansion of re in re 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (/ -1 1) into -1 0.820 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.820 * [taylor]: Taking taylor expansion of -1 in re 0.821 * [backup-simplify]: Simplify -1 into -1 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (/ -1 1) into -1 0.821 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.821 * [taylor]: Taking taylor expansion of -1 in re 0.821 * [backup-simplify]: Simplify -1 into -1 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [backup-simplify]: Simplify im into im 0.821 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.821 * [taylor]: Taking taylor expansion of -1 in re 0.821 * [backup-simplify]: Simplify -1 into -1 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [backup-simplify]: Simplify im into im 0.821 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.821 * [backup-simplify]: Simplify (* -1 -1) into 1 0.822 * [backup-simplify]: Simplify (+ 1 0) into 1 0.822 * [backup-simplify]: Simplify (sqrt 1) into 1 0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.824 * [taylor]: Taking taylor expansion of 1 in im 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [taylor]: Taking taylor expansion of 0 in im 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.825 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.825 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.825 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.826 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.826 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.826 * [taylor]: Taking taylor expansion of 1/2 in im 0.826 * [backup-simplify]: Simplify 1/2 into 1/2 0.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.826 * [taylor]: Taking taylor expansion of im in im 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (* 1 1) into 1 0.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.830 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.830 * [taylor]: Taking taylor expansion of 0 in im 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.831 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2 2 1) 0.831 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.831 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.831 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.832 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.832 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.832 * [taylor]: Taking taylor expansion of (* re re) in im 0.832 * [taylor]: Taking taylor expansion of re in im 0.832 * [backup-simplify]: Simplify re into re 0.832 * [taylor]: Taking taylor expansion of re in im 0.832 * [backup-simplify]: Simplify re into re 0.832 * [taylor]: Taking taylor expansion of (* im im) in im 0.832 * [taylor]: Taking taylor expansion of im in im 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of im in im 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.832 * [backup-simplify]: Simplify (* 0 0) into 0 0.832 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.832 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.832 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.833 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.833 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.833 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.833 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.833 * [taylor]: Taking taylor expansion of (* re re) in re 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [taylor]: Taking taylor expansion of (* im im) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.833 * [backup-simplify]: Simplify im into im 0.833 * [taylor]: Taking taylor expansion of im in re 0.833 * [backup-simplify]: Simplify im into im 0.833 * [backup-simplify]: Simplify (* 0 0) into 0 0.833 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.834 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.834 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.834 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.834 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.834 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.834 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.835 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.835 * [taylor]: Taking taylor expansion of (* re re) in re 0.835 * [taylor]: Taking taylor expansion of re in re 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of re in re 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of (* im im) in re 0.835 * [taylor]: Taking taylor expansion of im in re 0.835 * [backup-simplify]: Simplify im into im 0.835 * [taylor]: Taking taylor expansion of im in re 0.835 * [backup-simplify]: Simplify im into im 0.835 * [backup-simplify]: Simplify (* 0 0) into 0 0.835 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.835 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.835 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.835 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.836 * [taylor]: Taking taylor expansion of im in im 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [taylor]: Taking taylor expansion of 0 in im 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.837 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.837 * [backup-simplify]: Simplify (+ 1 0) into 1 0.837 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.837 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.837 * [taylor]: Taking taylor expansion of 1/2 in im 0.837 * [backup-simplify]: Simplify 1/2 into 1/2 0.838 * [taylor]: Taking taylor expansion of im in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.840 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.840 * [taylor]: Taking taylor expansion of 0 in im 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.841 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.841 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.841 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.841 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.841 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.841 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.841 * [taylor]: Taking taylor expansion of re in im 0.841 * [backup-simplify]: Simplify re into re 0.841 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.841 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.841 * [taylor]: Taking taylor expansion of re in im 0.841 * [backup-simplify]: Simplify re into re 0.841 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.841 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.841 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.841 * [taylor]: Taking taylor expansion of im in im 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.842 * [backup-simplify]: Simplify (+ 0 1) into 1 0.842 * [backup-simplify]: Simplify (sqrt 1) into 1 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.844 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.844 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.844 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.844 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.844 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.844 * [taylor]: Taking taylor expansion of re in re 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (/ 1 1) into 1 0.845 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.845 * [taylor]: Taking taylor expansion of re in re 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [backup-simplify]: Simplify (/ 1 1) into 1 0.845 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.845 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.845 * [taylor]: Taking taylor expansion of im in re 0.845 * [backup-simplify]: Simplify im into im 0.845 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.845 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.845 * [taylor]: Taking taylor expansion of im in re 0.845 * [backup-simplify]: Simplify im into im 0.845 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.845 * [backup-simplify]: Simplify (* 1 1) into 1 0.846 * [backup-simplify]: Simplify (+ 1 0) into 1 0.846 * [backup-simplify]: Simplify (sqrt 1) into 1 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.848 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.848 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.848 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.848 * [taylor]: Taking taylor expansion of re in re 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.848 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.848 * [taylor]: Taking taylor expansion of im in re 0.848 * [backup-simplify]: Simplify im into im 0.848 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.848 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.848 * [taylor]: Taking taylor expansion of im in re 0.848 * [backup-simplify]: Simplify im into im 0.849 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [backup-simplify]: Simplify (sqrt 1) into 1 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.851 * [taylor]: Taking taylor expansion of 1 in im 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [taylor]: Taking taylor expansion of 0 in im 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.853 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.853 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.854 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.854 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.854 * [taylor]: Taking taylor expansion of 1/2 in im 0.854 * [backup-simplify]: Simplify 1/2 into 1/2 0.854 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.854 * [taylor]: Taking taylor expansion of im in im 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (* 1 1) into 1 0.854 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.857 * [taylor]: Taking taylor expansion of 0 in im 0.857 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.859 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.859 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.859 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.859 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.859 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.859 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.859 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.859 * [taylor]: Taking taylor expansion of -1 in im 0.859 * [backup-simplify]: Simplify -1 into -1 0.859 * [taylor]: Taking taylor expansion of re in im 0.859 * [backup-simplify]: Simplify re into re 0.859 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.859 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.859 * [taylor]: Taking taylor expansion of -1 in im 0.859 * [backup-simplify]: Simplify -1 into -1 0.859 * [taylor]: Taking taylor expansion of re in im 0.859 * [backup-simplify]: Simplify re into re 0.859 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.859 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.859 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.859 * [taylor]: Taking taylor expansion of -1 in im 0.859 * [backup-simplify]: Simplify -1 into -1 0.859 * [taylor]: Taking taylor expansion of im in im 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (/ -1 1) into -1 0.859 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.859 * [taylor]: Taking taylor expansion of -1 in im 0.859 * [backup-simplify]: Simplify -1 into -1 0.859 * [taylor]: Taking taylor expansion of im in im 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ -1 1) into -1 0.860 * [backup-simplify]: Simplify (* -1 -1) into 1 0.860 * [backup-simplify]: Simplify (+ 0 1) into 1 0.860 * [backup-simplify]: Simplify (sqrt 1) into 1 0.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.862 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.862 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.862 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.862 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.862 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.862 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.862 * [taylor]: Taking taylor expansion of -1 in re 0.862 * [backup-simplify]: Simplify -1 into -1 0.862 * [taylor]: Taking taylor expansion of re in re 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (/ -1 1) into -1 0.863 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.863 * [taylor]: Taking taylor expansion of -1 in re 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of re in re 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (/ -1 1) into -1 0.863 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.863 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.863 * [taylor]: Taking taylor expansion of -1 in re 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of im in re 0.863 * [backup-simplify]: Simplify im into im 0.863 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.863 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.863 * [taylor]: Taking taylor expansion of -1 in re 0.863 * [backup-simplify]: Simplify -1 into -1 0.863 * [taylor]: Taking taylor expansion of im in re 0.863 * [backup-simplify]: Simplify im into im 0.863 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.863 * [backup-simplify]: Simplify (* -1 -1) into 1 0.864 * [backup-simplify]: Simplify (+ 1 0) into 1 0.864 * [backup-simplify]: Simplify (sqrt 1) into 1 0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.866 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.866 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.866 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.866 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.866 * [taylor]: Taking taylor expansion of -1 in re 0.866 * [backup-simplify]: Simplify -1 into -1 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (/ -1 1) into -1 0.866 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.866 * [taylor]: Taking taylor expansion of -1 in re 0.866 * [backup-simplify]: Simplify -1 into -1 0.866 * [taylor]: Taking taylor expansion of re in re 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ -1 1) into -1 0.867 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.867 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.867 * [taylor]: Taking taylor expansion of -1 in re 0.867 * [backup-simplify]: Simplify -1 into -1 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [backup-simplify]: Simplify im into im 0.867 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.867 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.867 * [taylor]: Taking taylor expansion of -1 in re 0.867 * [backup-simplify]: Simplify -1 into -1 0.867 * [taylor]: Taking taylor expansion of im in re 0.867 * [backup-simplify]: Simplify im into im 0.867 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.867 * [backup-simplify]: Simplify (* -1 -1) into 1 0.867 * [backup-simplify]: Simplify (+ 1 0) into 1 0.868 * [backup-simplify]: Simplify (sqrt 1) into 1 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.869 * [taylor]: Taking taylor expansion of 1 in im 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [taylor]: Taking taylor expansion of 0 in im 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.871 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.871 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.872 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.872 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.872 * [taylor]: Taking taylor expansion of 1/2 in im 0.872 * [backup-simplify]: Simplify 1/2 into 1/2 0.872 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.872 * [taylor]: Taking taylor expansion of im in im 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (* 1 1) into 1 0.873 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.875 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.876 * [taylor]: Taking taylor expansion of 0 in im 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.877 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1 1) 0.877 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.877 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.877 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.877 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.877 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.877 * [taylor]: Taking taylor expansion of (* re re) in im 0.877 * [taylor]: Taking taylor expansion of re in im 0.877 * [backup-simplify]: Simplify re into re 0.877 * [taylor]: Taking taylor expansion of re in im 0.877 * [backup-simplify]: Simplify re into re 0.877 * [taylor]: Taking taylor expansion of (* im im) in im 0.877 * [taylor]: Taking taylor expansion of im in im 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of im in im 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.878 * [backup-simplify]: Simplify (* 0 0) into 0 0.878 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.878 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.878 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.878 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.879 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.879 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.879 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.879 * [taylor]: Taking taylor expansion of (* re re) in re 0.879 * [taylor]: Taking taylor expansion of re in re 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [taylor]: Taking taylor expansion of re in re 0.879 * [backup-simplify]: Simplify 0 into 0 0.879 * [backup-simplify]: Simplify 1 into 1 0.879 * [taylor]: Taking taylor expansion of (* im im) in re 0.879 * [taylor]: Taking taylor expansion of im in re 0.879 * [backup-simplify]: Simplify im into im 0.879 * [taylor]: Taking taylor expansion of im in re 0.879 * [backup-simplify]: Simplify im into im 0.879 * [backup-simplify]: Simplify (* 0 0) into 0 0.879 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.879 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.879 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.880 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.880 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.880 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.880 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.880 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.880 * [taylor]: Taking taylor expansion of (* re re) in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [taylor]: Taking taylor expansion of (* im im) in re 0.880 * [taylor]: Taking taylor expansion of im in re 0.880 * [backup-simplify]: Simplify im into im 0.880 * [taylor]: Taking taylor expansion of im in re 0.880 * [backup-simplify]: Simplify im into im 0.881 * [backup-simplify]: Simplify (* 0 0) into 0 0.881 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.881 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.881 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.882 * [taylor]: Taking taylor expansion of im in im 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [taylor]: Taking taylor expansion of 0 in im 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.883 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.883 * [backup-simplify]: Simplify (+ 1 0) into 1 0.883 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.883 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.883 * [taylor]: Taking taylor expansion of 1/2 in im 0.883 * [backup-simplify]: Simplify 1/2 into 1/2 0.883 * [taylor]: Taking taylor expansion of im in im 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.885 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.885 * [backup-simplify]: Simplify (+ 0 0) into 0 0.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.885 * [taylor]: Taking taylor expansion of 0 in im 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.886 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.886 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.886 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.886 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.886 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.886 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.886 * [taylor]: Taking taylor expansion of re in im 0.886 * [backup-simplify]: Simplify re into re 0.886 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.886 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.887 * [taylor]: Taking taylor expansion of re in im 0.887 * [backup-simplify]: Simplify re into re 0.887 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.887 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.887 * [taylor]: Taking taylor expansion of im in im 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [backup-simplify]: Simplify (* 1 1) into 1 0.888 * [backup-simplify]: Simplify (+ 0 1) into 1 0.888 * [backup-simplify]: Simplify (sqrt 1) into 1 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.890 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.890 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.890 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.890 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (/ 1 1) into 1 0.890 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.890 * [taylor]: Taking taylor expansion of re in re 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.891 * [backup-simplify]: Simplify (/ 1 1) into 1 0.891 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.891 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.891 * [backup-simplify]: Simplify im into im 0.891 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.891 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.891 * [backup-simplify]: Simplify im into im 0.891 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.891 * [backup-simplify]: Simplify (* 1 1) into 1 0.891 * [backup-simplify]: Simplify (+ 1 0) into 1 0.891 * [backup-simplify]: Simplify (sqrt 1) into 1 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.899 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.899 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.899 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.899 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.899 * [taylor]: Taking taylor expansion of re in re 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (/ 1 1) into 1 0.900 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.900 * [backup-simplify]: Simplify im into im 0.900 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.900 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.900 * [taylor]: Taking taylor expansion of im in re 0.900 * [backup-simplify]: Simplify im into im 0.900 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.900 * [backup-simplify]: Simplify (* 1 1) into 1 0.900 * [backup-simplify]: Simplify (+ 1 0) into 1 0.900 * [backup-simplify]: Simplify (sqrt 1) into 1 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.902 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.902 * [taylor]: Taking taylor expansion of 1 in im 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [taylor]: Taking taylor expansion of 0 in im 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.904 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.904 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.905 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.905 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.905 * [taylor]: Taking taylor expansion of 1/2 in im 0.905 * [backup-simplify]: Simplify 1/2 into 1/2 0.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.905 * [taylor]: Taking taylor expansion of im in im 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.909 * [taylor]: Taking taylor expansion of 0 in im 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.910 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.910 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.910 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.910 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.910 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.910 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.910 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.910 * [taylor]: Taking taylor expansion of -1 in im 0.910 * [backup-simplify]: Simplify -1 into -1 0.910 * [taylor]: Taking taylor expansion of re in im 0.910 * [backup-simplify]: Simplify re into re 0.910 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.910 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.910 * [taylor]: Taking taylor expansion of -1 in im 0.910 * [backup-simplify]: Simplify -1 into -1 0.910 * [taylor]: Taking taylor expansion of re in im 0.910 * [backup-simplify]: Simplify re into re 0.910 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.910 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.910 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.910 * [taylor]: Taking taylor expansion of -1 in im 0.910 * [backup-simplify]: Simplify -1 into -1 0.910 * [taylor]: Taking taylor expansion of im in im 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (/ -1 1) into -1 0.911 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.911 * [taylor]: Taking taylor expansion of -1 in im 0.911 * [backup-simplify]: Simplify -1 into -1 0.911 * [taylor]: Taking taylor expansion of im in im 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (/ -1 1) into -1 0.911 * [backup-simplify]: Simplify (* -1 -1) into 1 0.912 * [backup-simplify]: Simplify (+ 0 1) into 1 0.912 * [backup-simplify]: Simplify (sqrt 1) into 1 0.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.914 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.914 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.914 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.914 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.914 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.914 * [taylor]: Taking taylor expansion of -1 in re 0.914 * [backup-simplify]: Simplify -1 into -1 0.914 * [taylor]: Taking taylor expansion of re in re 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (/ -1 1) into -1 0.914 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.914 * [taylor]: Taking taylor expansion of -1 in re 0.914 * [backup-simplify]: Simplify -1 into -1 0.914 * [taylor]: Taking taylor expansion of re in re 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (/ -1 1) into -1 0.914 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.914 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.915 * [taylor]: Taking taylor expansion of -1 in re 0.915 * [backup-simplify]: Simplify -1 into -1 0.915 * [taylor]: Taking taylor expansion of im in re 0.915 * [backup-simplify]: Simplify im into im 0.915 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.915 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.915 * [taylor]: Taking taylor expansion of -1 in re 0.915 * [backup-simplify]: Simplify -1 into -1 0.915 * [taylor]: Taking taylor expansion of im in re 0.915 * [backup-simplify]: Simplify im into im 0.915 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.915 * [backup-simplify]: Simplify (* -1 -1) into 1 0.915 * [backup-simplify]: Simplify (+ 1 0) into 1 0.915 * [backup-simplify]: Simplify (sqrt 1) into 1 0.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.917 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.917 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.917 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.917 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.917 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.917 * [taylor]: Taking taylor expansion of -1 in re 0.917 * [backup-simplify]: Simplify -1 into -1 0.917 * [taylor]: Taking taylor expansion of re in re 0.917 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (/ -1 1) into -1 0.918 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.918 * [taylor]: Taking taylor expansion of -1 in re 0.918 * [backup-simplify]: Simplify -1 into -1 0.918 * [taylor]: Taking taylor expansion of re in re 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (/ -1 1) into -1 0.918 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.918 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.918 * [taylor]: Taking taylor expansion of -1 in re 0.918 * [backup-simplify]: Simplify -1 into -1 0.918 * [taylor]: Taking taylor expansion of im in re 0.918 * [backup-simplify]: Simplify im into im 0.918 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.918 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.918 * [taylor]: Taking taylor expansion of -1 in re 0.918 * [backup-simplify]: Simplify -1 into -1 0.918 * [taylor]: Taking taylor expansion of im in re 0.918 * [backup-simplify]: Simplify im into im 0.918 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.919 * [backup-simplify]: Simplify (* -1 -1) into 1 0.919 * [backup-simplify]: Simplify (+ 1 0) into 1 0.919 * [backup-simplify]: Simplify (sqrt 1) into 1 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.921 * [taylor]: Taking taylor expansion of 1 in im 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [taylor]: Taking taylor expansion of 0 in im 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.923 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.923 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.924 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.924 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.924 * [taylor]: Taking taylor expansion of 1/2 in im 0.924 * [backup-simplify]: Simplify 1/2 into 1/2 0.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (* 1 1) into 1 0.924 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.927 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.927 * [taylor]: Taking taylor expansion of 0 in im 0.928 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.929 * * * [progress]: simplifying candidates 0.930 * [simplify]: Simplifying: (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) im re (* -1 re) im re (* -1 re) 0.930 * [simplify]: Sending expressions to egg_math: (expm1 (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log1p (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (exp h1) (exp (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (exp (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (* (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ (pow h1 3) (pow (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) 3)) (+ (* h1 h1) (- (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (- (* h1 h1) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (- h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (expm1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (log1p (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h1 h0) (hypot h1 h0)) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (hypot h1 h0) (hypot h1 h0)) (+ 1 1) (+ (log (sqrt (hypot h1 h0))) (log (sqrt (hypot h1 h0)))) (log (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (exp (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0)))) (* (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (hypot h1 h0) (hypot h1 h0)) (sqrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (sqrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0)))) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))))) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0)))) (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* 1 1) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h1 h0)) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))))) (* (sqrt (hypot h1 h0)) (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))))) (* (sqrt (hypot h1 h0)) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) (sqrt 1)) (* (sqrt (hypot h1 h0)) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) 1) (* (cbrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (expm1 (hypot h1 h0)) (log1p (hypot h1 h0)) (+ (* h1 h1) (* h0 h0)) (log (hypot h1 h0)) (exp (hypot h1 h0)) (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (cbrt (hypot h1 h0)) (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0)) (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)) (expm1 (hypot h1 h0)) (log1p (hypot h1 h0)) (+ (* h1 h1) (* h0 h0)) (log (hypot h1 h0)) (exp (hypot h1 h0)) (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (cbrt (hypot h1 h0)) (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0)) (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)) (+ h1 h0) (* 2 h1) 0 h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) 0.935 * * [simplify]: iteration 0 : 171 enodes (cost 341 ) 0.939 * * [simplify]: iteration 1 : 603 enodes (cost 286 ) 0.957 * * [simplify]: iteration 2 : 3648 enodes (cost 275 ) 1.106 * * [simplify]: iteration 3 : 5001 enodes (cost 275 ) 1.108 * * * [progress]: adding candidates to table 1.334 * * [progress]: iteration 4 / 4 1.334 * * * [progress]: picking best candidate 1.355 * * * * [pick]: Picked # 1.355 * * * [progress]: localizing error 1.377 * * * [progress]: generating rewritten candidates 1.377 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 1.384 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 2 2 1 1) 1.385 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2 1 1 2) 1.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1 1 1) 1.388 * * * [progress]: generating series expansions 1.388 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 1.388 * [backup-simplify]: Simplify (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) into (+ re (hypot re im)) 1.388 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.388 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [backup-simplify]: Simplify re into re 1.388 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.388 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.388 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.388 * [taylor]: Taking taylor expansion of (* re re) in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [backup-simplify]: Simplify re into re 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [backup-simplify]: Simplify re into re 1.388 * [taylor]: Taking taylor expansion of (* im im) in im 1.388 * [taylor]: Taking taylor expansion of im in im 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [taylor]: Taking taylor expansion of im in im 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.389 * [backup-simplify]: Simplify (* 0 0) into 0 1.389 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.389 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.389 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.390 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.390 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.390 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.390 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.390 * [taylor]: Taking taylor expansion of (* re re) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [taylor]: Taking taylor expansion of (* im im) in re 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [backup-simplify]: Simplify im into im 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [backup-simplify]: Simplify im into im 1.391 * [backup-simplify]: Simplify (* 0 0) into 0 1.391 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.391 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.391 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.391 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.391 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.392 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.392 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.392 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.392 * [taylor]: Taking taylor expansion of (* re re) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [taylor]: Taking taylor expansion of (* im im) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [backup-simplify]: Simplify im into im 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [backup-simplify]: Simplify im into im 1.392 * [backup-simplify]: Simplify (* 0 0) into 0 1.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.392 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.392 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 im) into im 1.393 * [taylor]: Taking taylor expansion of im in im 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify (+ 1 0) into 1 1.394 * [taylor]: Taking taylor expansion of 1 in im 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.394 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.395 * [backup-simplify]: Simplify (+ 1 0) into 1 1.395 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.395 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.395 * [taylor]: Taking taylor expansion of 1/2 in im 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.395 * [taylor]: Taking taylor expansion of im in im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [taylor]: Taking taylor expansion of 0 in im 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.399 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im))))) (* (sqrt (cbrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (hypot (/ 1 re) (/ 1 im)))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.399 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.399 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.400 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.400 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.400 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.400 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.400 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.400 * [taylor]: Taking taylor expansion of re in im 1.400 * [backup-simplify]: Simplify re into re 1.400 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.400 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.400 * [taylor]: Taking taylor expansion of re in im 1.400 * [backup-simplify]: Simplify re into re 1.400 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.400 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.400 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.400 * [taylor]: Taking taylor expansion of im in im 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify (/ 1 1) into 1 1.400 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.400 * [taylor]: Taking taylor expansion of im in im 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (+ 0 1) into 1 1.401 * [backup-simplify]: Simplify (sqrt 1) into 1 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.403 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.403 * [taylor]: Taking taylor expansion of re in im 1.403 * [backup-simplify]: Simplify re into re 1.403 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.403 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.403 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.403 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.403 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.403 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.403 * [taylor]: Taking taylor expansion of re in re 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.403 * [taylor]: Taking taylor expansion of re in re 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.404 * [taylor]: Taking taylor expansion of im in re 1.404 * [backup-simplify]: Simplify im into im 1.404 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.404 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.404 * [taylor]: Taking taylor expansion of im in re 1.404 * [backup-simplify]: Simplify im into im 1.404 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.404 * [backup-simplify]: Simplify (* 1 1) into 1 1.404 * [backup-simplify]: Simplify (+ 1 0) into 1 1.405 * [backup-simplify]: Simplify (sqrt 1) into 1 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.406 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.406 * [taylor]: Taking taylor expansion of re in re 1.406 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.407 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.407 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.407 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.407 * [taylor]: Taking taylor expansion of re in re 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.408 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.408 * [backup-simplify]: Simplify im into im 1.408 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.408 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.408 * [taylor]: Taking taylor expansion of im in re 1.408 * [backup-simplify]: Simplify im into im 1.408 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (+ 1 0) into 1 1.408 * [backup-simplify]: Simplify (sqrt 1) into 1 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.410 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.410 * [taylor]: Taking taylor expansion of re in re 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [backup-simplify]: Simplify (+ 1 1) into 2 1.411 * [taylor]: Taking taylor expansion of 2 in im 1.411 * [backup-simplify]: Simplify 2 into 2 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [taylor]: Taking taylor expansion of 0 in im 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 2 into 2 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.413 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.413 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.414 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.414 * [taylor]: Taking taylor expansion of 1/2 in im 1.414 * [backup-simplify]: Simplify 1/2 into 1/2 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.415 * [taylor]: Taking taylor expansion of im in im 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 1 into 1 1.415 * [backup-simplify]: Simplify (* 1 1) into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.418 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [taylor]: Taking taylor expansion of 0 in im 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.422 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (* (sqrt (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1.422 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.422 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.422 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.422 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.422 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.422 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.422 * [taylor]: Taking taylor expansion of -1 in im 1.422 * [backup-simplify]: Simplify -1 into -1 1.422 * [taylor]: Taking taylor expansion of re in im 1.422 * [backup-simplify]: Simplify re into re 1.422 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.422 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.422 * [taylor]: Taking taylor expansion of -1 in im 1.422 * [backup-simplify]: Simplify -1 into -1 1.422 * [taylor]: Taking taylor expansion of re in im 1.422 * [backup-simplify]: Simplify re into re 1.422 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.422 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.422 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.422 * [taylor]: Taking taylor expansion of -1 in im 1.422 * [backup-simplify]: Simplify -1 into -1 1.422 * [taylor]: Taking taylor expansion of im in im 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (/ -1 1) into -1 1.422 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.422 * [taylor]: Taking taylor expansion of -1 in im 1.423 * [backup-simplify]: Simplify -1 into -1 1.423 * [taylor]: Taking taylor expansion of im in im 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (/ -1 1) into -1 1.423 * [backup-simplify]: Simplify (* -1 -1) into 1 1.423 * [backup-simplify]: Simplify (+ 0 1) into 1 1.423 * [backup-simplify]: Simplify (sqrt 1) into 1 1.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.425 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.425 * [taylor]: Taking taylor expansion of re in im 1.425 * [backup-simplify]: Simplify re into re 1.425 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.425 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.426 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.426 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.426 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [backup-simplify]: Simplify -1 into -1 1.426 * [taylor]: Taking taylor expansion of re in re 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (/ -1 1) into -1 1.426 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [backup-simplify]: Simplify -1 into -1 1.426 * [taylor]: Taking taylor expansion of re in re 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (/ -1 1) into -1 1.426 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [backup-simplify]: Simplify -1 into -1 1.426 * [taylor]: Taking taylor expansion of im in re 1.426 * [backup-simplify]: Simplify im into im 1.426 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.426 * [taylor]: Taking taylor expansion of -1 in re 1.426 * [backup-simplify]: Simplify -1 into -1 1.426 * [taylor]: Taking taylor expansion of im in re 1.427 * [backup-simplify]: Simplify im into im 1.427 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.427 * [backup-simplify]: Simplify (* -1 -1) into 1 1.427 * [backup-simplify]: Simplify (+ 1 0) into 1 1.427 * [backup-simplify]: Simplify (sqrt 1) into 1 1.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.429 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.429 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.430 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.430 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.430 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.430 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (/ -1 1) into -1 1.430 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of re in re 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (/ -1 1) into -1 1.430 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.430 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of im in re 1.430 * [backup-simplify]: Simplify im into im 1.430 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.430 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.430 * [taylor]: Taking taylor expansion of -1 in re 1.430 * [backup-simplify]: Simplify -1 into -1 1.430 * [taylor]: Taking taylor expansion of im in re 1.430 * [backup-simplify]: Simplify im into im 1.430 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.431 * [backup-simplify]: Simplify (* -1 -1) into 1 1.431 * [backup-simplify]: Simplify (+ 1 0) into 1 1.431 * [backup-simplify]: Simplify (sqrt 1) into 1 1.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.433 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [backup-simplify]: Simplify (- 1) into -1 1.434 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.434 * [taylor]: Taking taylor expansion of 0 in im 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (- 0) into 0 1.435 * [backup-simplify]: Simplify (+ 0 0) into 0 1.435 * [taylor]: Taking taylor expansion of 0 in im 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.436 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.437 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.437 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.438 * [taylor]: Taking taylor expansion of 1/2 in im 1.438 * [backup-simplify]: Simplify 1/2 into 1/2 1.438 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.438 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.438 * [taylor]: Taking taylor expansion of im in im 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (/ 1 1) into 1 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.442 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.442 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [taylor]: Taking taylor expansion of 0 in im 1.443 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 2 2 1 1) 1.445 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 1.445 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.445 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.445 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.445 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.445 * [taylor]: Taking taylor expansion of 1/3 in im 1.445 * [backup-simplify]: Simplify 1/3 into 1/3 1.445 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.445 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.445 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.445 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.445 * [taylor]: Taking taylor expansion of (* re re) in im 1.445 * [taylor]: Taking taylor expansion of re in im 1.445 * [backup-simplify]: Simplify re into re 1.445 * [taylor]: Taking taylor expansion of re in im 1.445 * [backup-simplify]: Simplify re into re 1.445 * [taylor]: Taking taylor expansion of (* im im) in im 1.445 * [taylor]: Taking taylor expansion of im in im 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of im in im 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.446 * [backup-simplify]: Simplify (* 0 0) into 0 1.446 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.446 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.446 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.446 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.446 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.447 * [backup-simplify]: Simplify (log re) into (log re) 1.447 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 1.447 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 1.447 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.447 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.447 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.447 * [taylor]: Taking taylor expansion of 1/3 in re 1.447 * [backup-simplify]: Simplify 1/3 into 1/3 1.447 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.447 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.447 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.447 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.447 * [taylor]: Taking taylor expansion of (* re re) in re 1.447 * [taylor]: Taking taylor expansion of re in re 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [taylor]: Taking taylor expansion of re in re 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [taylor]: Taking taylor expansion of (* im im) in re 1.447 * [taylor]: Taking taylor expansion of im in re 1.447 * [backup-simplify]: Simplify im into im 1.447 * [taylor]: Taking taylor expansion of im in re 1.447 * [backup-simplify]: Simplify im into im 1.447 * [backup-simplify]: Simplify (* 0 0) into 0 1.447 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.447 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.448 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.448 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.448 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.448 * [backup-simplify]: Simplify (log im) into (log im) 1.448 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.448 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.448 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.448 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.448 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.448 * [taylor]: Taking taylor expansion of 1/3 in re 1.448 * [backup-simplify]: Simplify 1/3 into 1/3 1.448 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.449 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.449 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.449 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.449 * [taylor]: Taking taylor expansion of (* re re) in re 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [taylor]: Taking taylor expansion of re in re 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [taylor]: Taking taylor expansion of (* im im) in re 1.449 * [taylor]: Taking taylor expansion of im in re 1.449 * [backup-simplify]: Simplify im into im 1.449 * [taylor]: Taking taylor expansion of im in re 1.449 * [backup-simplify]: Simplify im into im 1.449 * [backup-simplify]: Simplify (* 0 0) into 0 1.449 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.449 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.449 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.450 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.450 * [backup-simplify]: Simplify (+ 0 0) into 0 1.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.450 * [backup-simplify]: Simplify (log im) into (log im) 1.450 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.450 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.450 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.450 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.450 * [taylor]: Taking taylor expansion of 1/3 in im 1.450 * [backup-simplify]: Simplify 1/3 into 1/3 1.450 * [taylor]: Taking taylor expansion of (log im) in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (log 1) into 0 1.451 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.451 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.451 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.451 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 1.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 1.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.452 * [taylor]: Taking taylor expansion of 0 in im 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.453 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.454 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 1.454 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.455 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.455 * [backup-simplify]: Simplify (+ 1 0) into 1 1.456 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.456 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 1.457 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 1.457 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.457 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.457 * [taylor]: Taking taylor expansion of 1/6 in im 1.457 * [backup-simplify]: Simplify 1/6 into 1/6 1.457 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.457 * [taylor]: Taking taylor expansion of 1/3 in im 1.457 * [backup-simplify]: Simplify 1/3 into 1/3 1.457 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.457 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.457 * [taylor]: Taking taylor expansion of im in im 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.458 * [backup-simplify]: Simplify (/ 1 1) into 1 1.459 * [backup-simplify]: Simplify (log 1) into 0 1.459 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.459 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 1.459 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 1.459 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.459 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.459 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.467 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.468 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 1.468 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.470 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.471 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 1.473 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.473 * [taylor]: Taking taylor expansion of 0 in im 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.476 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 1.477 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.477 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.480 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.480 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 1.481 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) 1.482 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 1.482 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.482 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.482 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.482 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.482 * [taylor]: Taking taylor expansion of 1/3 in im 1.482 * [backup-simplify]: Simplify 1/3 into 1/3 1.482 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.482 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.482 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.482 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.482 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.482 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.482 * [taylor]: Taking taylor expansion of re in im 1.482 * [backup-simplify]: Simplify re into re 1.482 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.482 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.482 * [taylor]: Taking taylor expansion of re in im 1.482 * [backup-simplify]: Simplify re into re 1.482 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.482 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.482 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.482 * [taylor]: Taking taylor expansion of im in im 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.483 * [taylor]: Taking taylor expansion of im in im 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [backup-simplify]: Simplify (* 1 1) into 1 1.483 * [backup-simplify]: Simplify (+ 0 1) into 1 1.484 * [backup-simplify]: Simplify (sqrt 1) into 1 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.486 * [backup-simplify]: Simplify (log 1) into 0 1.486 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.486 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 1.486 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 1.486 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.486 * [taylor]: Taking taylor expansion of 1/3 in re 1.486 * [backup-simplify]: Simplify 1/3 into 1/3 1.486 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.486 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.486 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.486 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.487 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.487 * [taylor]: Taking taylor expansion of im in re 1.487 * [backup-simplify]: Simplify im into im 1.487 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.487 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.487 * [taylor]: Taking taylor expansion of im in re 1.487 * [backup-simplify]: Simplify im into im 1.487 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.487 * [backup-simplify]: Simplify (* 1 1) into 1 1.487 * [backup-simplify]: Simplify (+ 1 0) into 1 1.488 * [backup-simplify]: Simplify (sqrt 1) into 1 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.490 * [backup-simplify]: Simplify (log 1) into 0 1.490 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.490 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.490 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.490 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.490 * [taylor]: Taking taylor expansion of 1/3 in re 1.490 * [backup-simplify]: Simplify 1/3 into 1/3 1.490 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.490 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.490 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.490 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.490 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.490 * [taylor]: Taking taylor expansion of re in re 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.491 * [taylor]: Taking taylor expansion of re in re 1.491 * [backup-simplify]: Simplify 0 into 0 1.491 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.491 * [backup-simplify]: Simplify im into im 1.491 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.491 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.491 * [taylor]: Taking taylor expansion of im in re 1.491 * [backup-simplify]: Simplify im into im 1.491 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.491 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (+ 1 0) into 1 1.492 * [backup-simplify]: Simplify (sqrt 1) into 1 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.494 * [backup-simplify]: Simplify (log 1) into 0 1.494 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.494 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.494 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.494 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.494 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.494 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.494 * [taylor]: Taking taylor expansion of -1/3 in im 1.494 * [backup-simplify]: Simplify -1/3 into -1/3 1.494 * [taylor]: Taking taylor expansion of (log re) in im 1.494 * [taylor]: Taking taylor expansion of re in im 1.494 * [backup-simplify]: Simplify re into re 1.494 * [backup-simplify]: Simplify (log re) into (log re) 1.494 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 1.494 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.494 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 1.495 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.495 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.496 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 1.496 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.496 * [taylor]: Taking taylor expansion of 0 in im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.497 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 1.497 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.499 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.499 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.500 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 1.501 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.502 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 1.502 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.502 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.502 * [taylor]: Taking taylor expansion of 1/6 in im 1.502 * [backup-simplify]: Simplify 1/6 into 1/6 1.502 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.502 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.502 * [taylor]: Taking taylor expansion of 1/3 in im 1.503 * [backup-simplify]: Simplify 1/3 into 1/3 1.503 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.503 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.503 * [taylor]: Taking taylor expansion of re in im 1.503 * [backup-simplify]: Simplify re into re 1.503 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.503 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 1.503 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 1.503 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 1.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.503 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.503 * [taylor]: Taking taylor expansion of im in im 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (* 1 1) into 1 1.503 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.506 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 1.506 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 1.506 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 1.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 1.509 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.509 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.510 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 1.510 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 1.510 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.512 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.512 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.512 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.514 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.517 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.517 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 1.519 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.519 * [taylor]: Taking taylor expansion of 0 in im 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 1.519 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 1.519 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.519 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.519 * [taylor]: Taking taylor expansion of 1/3 in im 1.520 * [backup-simplify]: Simplify 1/3 into 1/3 1.520 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.520 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.520 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.520 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.520 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.520 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.520 * [taylor]: Taking taylor expansion of -1 in im 1.520 * [backup-simplify]: Simplify -1 into -1 1.520 * [taylor]: Taking taylor expansion of re in im 1.520 * [backup-simplify]: Simplify re into re 1.520 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.520 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.520 * [taylor]: Taking taylor expansion of -1 in im 1.520 * [backup-simplify]: Simplify -1 into -1 1.520 * [taylor]: Taking taylor expansion of re in im 1.520 * [backup-simplify]: Simplify re into re 1.520 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.520 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.520 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.520 * [taylor]: Taking taylor expansion of -1 in im 1.520 * [backup-simplify]: Simplify -1 into -1 1.520 * [taylor]: Taking taylor expansion of im in im 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.520 * [backup-simplify]: Simplify (/ -1 1) into -1 1.520 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.520 * [taylor]: Taking taylor expansion of -1 in im 1.520 * [backup-simplify]: Simplify -1 into -1 1.520 * [taylor]: Taking taylor expansion of im in im 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify 1 into 1 1.521 * [backup-simplify]: Simplify (/ -1 1) into -1 1.521 * [backup-simplify]: Simplify (* -1 -1) into 1 1.521 * [backup-simplify]: Simplify (+ 0 1) into 1 1.521 * [backup-simplify]: Simplify (sqrt 1) into 1 1.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.523 * [backup-simplify]: Simplify (log 1) into 0 1.524 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.524 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 1.524 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 1.524 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.524 * [taylor]: Taking taylor expansion of 1/3 in re 1.524 * [backup-simplify]: Simplify 1/3 into 1/3 1.524 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.524 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.524 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.524 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.524 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.524 * [taylor]: Taking taylor expansion of -1 in re 1.524 * [backup-simplify]: Simplify -1 into -1 1.524 * [taylor]: Taking taylor expansion of re in re 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (/ -1 1) into -1 1.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.524 * [taylor]: Taking taylor expansion of -1 in re 1.524 * [backup-simplify]: Simplify -1 into -1 1.524 * [taylor]: Taking taylor expansion of re in re 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (/ -1 1) into -1 1.525 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.525 * [taylor]: Taking taylor expansion of -1 in re 1.525 * [backup-simplify]: Simplify -1 into -1 1.525 * [taylor]: Taking taylor expansion of im in re 1.525 * [backup-simplify]: Simplify im into im 1.525 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.525 * [taylor]: Taking taylor expansion of -1 in re 1.525 * [backup-simplify]: Simplify -1 into -1 1.525 * [taylor]: Taking taylor expansion of im in re 1.525 * [backup-simplify]: Simplify im into im 1.525 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.525 * [backup-simplify]: Simplify (* -1 -1) into 1 1.525 * [backup-simplify]: Simplify (+ 1 0) into 1 1.526 * [backup-simplify]: Simplify (sqrt 1) into 1 1.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.527 * [backup-simplify]: Simplify (+ 0 0) into 0 1.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.528 * [backup-simplify]: Simplify (log 1) into 0 1.528 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.528 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.528 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.528 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.528 * [taylor]: Taking taylor expansion of 1/3 in re 1.528 * [backup-simplify]: Simplify 1/3 into 1/3 1.528 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.528 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.528 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.528 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.528 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.528 * [taylor]: Taking taylor expansion of -1 in re 1.528 * [backup-simplify]: Simplify -1 into -1 1.528 * [taylor]: Taking taylor expansion of re in re 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (/ -1 1) into -1 1.529 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.529 * [taylor]: Taking taylor expansion of -1 in re 1.529 * [backup-simplify]: Simplify -1 into -1 1.529 * [taylor]: Taking taylor expansion of re in re 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (/ -1 1) into -1 1.529 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.529 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.529 * [taylor]: Taking taylor expansion of -1 in re 1.529 * [backup-simplify]: Simplify -1 into -1 1.529 * [taylor]: Taking taylor expansion of im in re 1.529 * [backup-simplify]: Simplify im into im 1.529 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.529 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.529 * [taylor]: Taking taylor expansion of -1 in re 1.529 * [backup-simplify]: Simplify -1 into -1 1.529 * [taylor]: Taking taylor expansion of im in re 1.529 * [backup-simplify]: Simplify im into im 1.529 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.529 * [backup-simplify]: Simplify (* -1 -1) into 1 1.530 * [backup-simplify]: Simplify (+ 1 0) into 1 1.530 * [backup-simplify]: Simplify (sqrt 1) into 1 1.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.532 * [backup-simplify]: Simplify (log 1) into 0 1.532 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.532 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.532 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.532 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.532 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.532 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.532 * [taylor]: Taking taylor expansion of -1/3 in im 1.533 * [backup-simplify]: Simplify -1/3 into -1/3 1.533 * [taylor]: Taking taylor expansion of (log re) in im 1.533 * [taylor]: Taking taylor expansion of re in im 1.533 * [backup-simplify]: Simplify re into re 1.533 * [backup-simplify]: Simplify (log re) into (log re) 1.533 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 1.533 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.533 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 1.533 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.534 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.534 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 1.535 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.535 * [taylor]: Taking taylor expansion of 0 in im 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.535 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 1.536 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.537 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.537 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.538 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.538 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 1.540 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.540 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 1.541 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.541 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.541 * [taylor]: Taking taylor expansion of 1/6 in im 1.541 * [backup-simplify]: Simplify 1/6 into 1/6 1.541 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.541 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.541 * [taylor]: Taking taylor expansion of 1/3 in im 1.541 * [backup-simplify]: Simplify 1/3 into 1/3 1.541 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.541 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.541 * [taylor]: Taking taylor expansion of re in im 1.541 * [backup-simplify]: Simplify re into re 1.541 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.541 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 1.541 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 1.541 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 1.541 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.541 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.541 * [taylor]: Taking taylor expansion of im in im 1.541 * [backup-simplify]: Simplify 0 into 0 1.541 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (/ 1 1) into 1 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.544 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 1.545 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 1.546 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 1.547 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.548 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 1.548 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 1.549 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.550 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.551 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.552 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.552 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.553 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.553 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.553 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.555 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.556 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 1.564 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.564 * [taylor]: Taking taylor expansion of 0 in im 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 1.564 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2 1 1 2) 1.564 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 1.564 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.564 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.564 * [taylor]: Taking taylor expansion of 1/3 in im 1.564 * [backup-simplify]: Simplify 1/3 into 1/3 1.564 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.564 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.564 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.564 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.564 * [taylor]: Taking taylor expansion of (* re re) in im 1.564 * [taylor]: Taking taylor expansion of re in im 1.564 * [backup-simplify]: Simplify re into re 1.564 * [taylor]: Taking taylor expansion of re in im 1.564 * [backup-simplify]: Simplify re into re 1.564 * [taylor]: Taking taylor expansion of (* im im) in im 1.564 * [taylor]: Taking taylor expansion of im in im 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [taylor]: Taking taylor expansion of im in im 1.564 * [backup-simplify]: Simplify 0 into 0 1.564 * [backup-simplify]: Simplify 1 into 1 1.564 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.565 * [backup-simplify]: Simplify (* 0 0) into 0 1.565 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.565 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.565 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.565 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.566 * [backup-simplify]: Simplify (log re) into (log re) 1.566 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 1.566 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 1.566 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.566 * [taylor]: Taking taylor expansion of 1/3 in re 1.566 * [backup-simplify]: Simplify 1/3 into 1/3 1.566 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.566 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.566 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.566 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.566 * [taylor]: Taking taylor expansion of (* re re) in re 1.566 * [taylor]: Taking taylor expansion of re in re 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [taylor]: Taking taylor expansion of re in re 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [taylor]: Taking taylor expansion of (* im im) in re 1.566 * [taylor]: Taking taylor expansion of im in re 1.566 * [backup-simplify]: Simplify im into im 1.566 * [taylor]: Taking taylor expansion of im in re 1.566 * [backup-simplify]: Simplify im into im 1.566 * [backup-simplify]: Simplify (* 0 0) into 0 1.566 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.567 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.567 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.567 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.567 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.567 * [backup-simplify]: Simplify (log im) into (log im) 1.567 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.567 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.568 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.568 * [taylor]: Taking taylor expansion of 1/3 in re 1.568 * [backup-simplify]: Simplify 1/3 into 1/3 1.568 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.568 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.568 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.568 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.568 * [taylor]: Taking taylor expansion of (* re re) in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [taylor]: Taking taylor expansion of (* im im) in re 1.568 * [taylor]: Taking taylor expansion of im in re 1.568 * [backup-simplify]: Simplify im into im 1.568 * [taylor]: Taking taylor expansion of im in re 1.568 * [backup-simplify]: Simplify im into im 1.568 * [backup-simplify]: Simplify (* 0 0) into 0 1.568 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.568 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.569 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.569 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.569 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.569 * [backup-simplify]: Simplify (+ 0 0) into 0 1.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.569 * [backup-simplify]: Simplify (log im) into (log im) 1.569 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.569 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.570 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.570 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.570 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.570 * [taylor]: Taking taylor expansion of 1/3 in im 1.570 * [backup-simplify]: Simplify 1/3 into 1/3 1.570 * [taylor]: Taking taylor expansion of (log im) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (log 1) into 0 1.570 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.570 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.570 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.570 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 1.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 1.571 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 1.572 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.572 * [taylor]: Taking taylor expansion of 0 in im 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.573 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.573 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 1.573 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.574 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.574 * [backup-simplify]: Simplify (+ 1 0) into 1 1.575 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.575 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 1.576 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 1.576 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.576 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.576 * [taylor]: Taking taylor expansion of 1/6 in im 1.577 * [backup-simplify]: Simplify 1/6 into 1/6 1.577 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.577 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.577 * [taylor]: Taking taylor expansion of 1/3 in im 1.577 * [backup-simplify]: Simplify 1/3 into 1/3 1.577 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.577 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.577 * [taylor]: Taking taylor expansion of im in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (* 1 1) into 1 1.577 * [backup-simplify]: Simplify (* 1 1) into 1 1.577 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (/ 1 1) into 1 1.578 * [backup-simplify]: Simplify (log 1) into 0 1.578 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.578 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 1.578 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 1.578 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.578 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.578 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.580 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.581 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 1.581 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.581 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.582 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.584 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 1.585 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 1.586 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.586 * [taylor]: Taking taylor expansion of 0 in im 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.589 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.589 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 1.589 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.592 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.593 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 1.594 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) 1.594 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 1.594 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.595 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.595 * [taylor]: Taking taylor expansion of 1/3 in im 1.595 * [backup-simplify]: Simplify 1/3 into 1/3 1.595 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.595 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.595 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.595 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.595 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.595 * [taylor]: Taking taylor expansion of re in im 1.595 * [backup-simplify]: Simplify re into re 1.595 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.595 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.595 * [taylor]: Taking taylor expansion of re in im 1.595 * [backup-simplify]: Simplify re into re 1.595 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.595 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.595 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.595 * [taylor]: Taking taylor expansion of im in im 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.595 * [taylor]: Taking taylor expansion of im in im 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [backup-simplify]: Simplify (* 1 1) into 1 1.596 * [backup-simplify]: Simplify (+ 0 1) into 1 1.596 * [backup-simplify]: Simplify (sqrt 1) into 1 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.598 * [backup-simplify]: Simplify (log 1) into 0 1.598 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.598 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 1.599 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 1.599 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.599 * [taylor]: Taking taylor expansion of 1/3 in re 1.599 * [backup-simplify]: Simplify 1/3 into 1/3 1.599 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.599 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.599 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.599 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.599 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.599 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.599 * [taylor]: Taking taylor expansion of re in re 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.599 * [taylor]: Taking taylor expansion of re in re 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.599 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.599 * [taylor]: Taking taylor expansion of im in re 1.599 * [backup-simplify]: Simplify im into im 1.599 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.599 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.600 * [taylor]: Taking taylor expansion of im in re 1.600 * [backup-simplify]: Simplify im into im 1.600 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.600 * [backup-simplify]: Simplify (* 1 1) into 1 1.600 * [backup-simplify]: Simplify (+ 1 0) into 1 1.600 * [backup-simplify]: Simplify (sqrt 1) into 1 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.602 * [backup-simplify]: Simplify (log 1) into 0 1.603 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.603 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.603 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.603 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.603 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.603 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.603 * [taylor]: Taking taylor expansion of 1/3 in re 1.603 * [backup-simplify]: Simplify 1/3 into 1/3 1.603 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.603 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.603 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.603 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.603 * [taylor]: Taking taylor expansion of re in re 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (/ 1 1) into 1 1.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.603 * [taylor]: Taking taylor expansion of re in re 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (/ 1 1) into 1 1.603 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.604 * [taylor]: Taking taylor expansion of im in re 1.604 * [backup-simplify]: Simplify im into im 1.604 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.604 * [taylor]: Taking taylor expansion of im in re 1.604 * [backup-simplify]: Simplify im into im 1.604 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.604 * [backup-simplify]: Simplify (* 1 1) into 1 1.604 * [backup-simplify]: Simplify (+ 1 0) into 1 1.604 * [backup-simplify]: Simplify (sqrt 1) into 1 1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.606 * [backup-simplify]: Simplify (log 1) into 0 1.607 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.607 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.607 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.607 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.607 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.607 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.607 * [taylor]: Taking taylor expansion of -1/3 in im 1.607 * [backup-simplify]: Simplify -1/3 into -1/3 1.607 * [taylor]: Taking taylor expansion of (log re) in im 1.607 * [taylor]: Taking taylor expansion of re in im 1.607 * [backup-simplify]: Simplify re into re 1.607 * [backup-simplify]: Simplify (log re) into (log re) 1.607 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 1.607 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.607 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 1.608 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.608 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.608 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 1.609 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.609 * [taylor]: Taking taylor expansion of 0 in im 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.610 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 1.610 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.612 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.612 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.613 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 1.614 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.614 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 1.615 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.615 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.615 * [taylor]: Taking taylor expansion of 1/6 in im 1.615 * [backup-simplify]: Simplify 1/6 into 1/6 1.615 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.615 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.615 * [taylor]: Taking taylor expansion of 1/3 in im 1.615 * [backup-simplify]: Simplify 1/3 into 1/3 1.615 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.615 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.615 * [taylor]: Taking taylor expansion of re in im 1.615 * [backup-simplify]: Simplify re into re 1.615 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.615 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 1.615 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 1.615 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.615 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.615 * [taylor]: Taking taylor expansion of im in im 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (* 1 1) into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.618 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 1.619 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 1.619 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.620 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 1.622 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.622 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 1.622 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 1.623 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.625 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.625 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.627 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.630 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.630 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.630 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 1.632 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.632 * [taylor]: Taking taylor expansion of 0 in im 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 1.632 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 1.632 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.632 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.632 * [taylor]: Taking taylor expansion of 1/3 in im 1.632 * [backup-simplify]: Simplify 1/3 into 1/3 1.632 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.632 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.632 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.632 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.632 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.632 * [taylor]: Taking taylor expansion of -1 in im 1.632 * [backup-simplify]: Simplify -1 into -1 1.632 * [taylor]: Taking taylor expansion of re in im 1.632 * [backup-simplify]: Simplify re into re 1.632 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.632 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.632 * [taylor]: Taking taylor expansion of -1 in im 1.632 * [backup-simplify]: Simplify -1 into -1 1.632 * [taylor]: Taking taylor expansion of re in im 1.632 * [backup-simplify]: Simplify re into re 1.632 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.632 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.632 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.632 * [taylor]: Taking taylor expansion of -1 in im 1.632 * [backup-simplify]: Simplify -1 into -1 1.632 * [taylor]: Taking taylor expansion of im in im 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ -1 1) into -1 1.633 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.633 * [taylor]: Taking taylor expansion of -1 in im 1.633 * [backup-simplify]: Simplify -1 into -1 1.633 * [taylor]: Taking taylor expansion of im in im 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ -1 1) into -1 1.633 * [backup-simplify]: Simplify (* -1 -1) into 1 1.634 * [backup-simplify]: Simplify (+ 0 1) into 1 1.634 * [backup-simplify]: Simplify (sqrt 1) into 1 1.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.636 * [backup-simplify]: Simplify (log 1) into 0 1.636 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.636 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 1.636 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 1.636 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.636 * [taylor]: Taking taylor expansion of 1/3 in re 1.636 * [backup-simplify]: Simplify 1/3 into 1/3 1.636 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.636 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.636 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.637 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.637 * [taylor]: Taking taylor expansion of -1 in re 1.637 * [backup-simplify]: Simplify -1 into -1 1.637 * [taylor]: Taking taylor expansion of re in re 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ -1 1) into -1 1.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.637 * [taylor]: Taking taylor expansion of -1 in re 1.637 * [backup-simplify]: Simplify -1 into -1 1.637 * [taylor]: Taking taylor expansion of re in re 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ -1 1) into -1 1.637 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.637 * [taylor]: Taking taylor expansion of -1 in re 1.637 * [backup-simplify]: Simplify -1 into -1 1.637 * [taylor]: Taking taylor expansion of im in re 1.637 * [backup-simplify]: Simplify im into im 1.637 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.637 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.637 * [taylor]: Taking taylor expansion of -1 in re 1.637 * [backup-simplify]: Simplify -1 into -1 1.637 * [taylor]: Taking taylor expansion of im in re 1.637 * [backup-simplify]: Simplify im into im 1.637 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.638 * [backup-simplify]: Simplify (* -1 -1) into 1 1.638 * [backup-simplify]: Simplify (+ 1 0) into 1 1.638 * [backup-simplify]: Simplify (sqrt 1) into 1 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.640 * [backup-simplify]: Simplify (log 1) into 0 1.641 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.641 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.641 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.641 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.641 * [taylor]: Taking taylor expansion of 1/3 in re 1.641 * [backup-simplify]: Simplify 1/3 into 1/3 1.641 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.641 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.641 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.641 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.641 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.641 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.641 * [taylor]: Taking taylor expansion of -1 in re 1.641 * [backup-simplify]: Simplify -1 into -1 1.641 * [taylor]: Taking taylor expansion of re in re 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (/ -1 1) into -1 1.641 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.641 * [taylor]: Taking taylor expansion of -1 in re 1.641 * [backup-simplify]: Simplify -1 into -1 1.641 * [taylor]: Taking taylor expansion of re in re 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.642 * [backup-simplify]: Simplify (/ -1 1) into -1 1.642 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.642 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.642 * [taylor]: Taking taylor expansion of -1 in re 1.642 * [backup-simplify]: Simplify -1 into -1 1.642 * [taylor]: Taking taylor expansion of im in re 1.642 * [backup-simplify]: Simplify im into im 1.642 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.642 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.642 * [taylor]: Taking taylor expansion of -1 in re 1.642 * [backup-simplify]: Simplify -1 into -1 1.642 * [taylor]: Taking taylor expansion of im in re 1.642 * [backup-simplify]: Simplify im into im 1.642 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.642 * [backup-simplify]: Simplify (* -1 -1) into 1 1.642 * [backup-simplify]: Simplify (+ 1 0) into 1 1.643 * [backup-simplify]: Simplify (sqrt 1) into 1 1.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.645 * [backup-simplify]: Simplify (log 1) into 0 1.645 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.645 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.645 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.645 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.645 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.645 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.645 * [taylor]: Taking taylor expansion of -1/3 in im 1.645 * [backup-simplify]: Simplify -1/3 into -1/3 1.645 * [taylor]: Taking taylor expansion of (log re) in im 1.645 * [taylor]: Taking taylor expansion of re in im 1.645 * [backup-simplify]: Simplify re into re 1.645 * [backup-simplify]: Simplify (log re) into (log re) 1.645 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 1.645 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.645 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 1.646 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.646 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 1.647 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.647 * [taylor]: Taking taylor expansion of 0 in im 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.648 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 1.648 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.650 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.650 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.651 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 1.652 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.653 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 1.653 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.653 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.653 * [taylor]: Taking taylor expansion of 1/6 in im 1.653 * [backup-simplify]: Simplify 1/6 into 1/6 1.653 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.653 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.653 * [taylor]: Taking taylor expansion of 1/3 in im 1.659 * [backup-simplify]: Simplify 1/3 into 1/3 1.659 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.659 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.659 * [taylor]: Taking taylor expansion of re in im 1.659 * [backup-simplify]: Simplify re into re 1.659 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.659 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 1.659 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 1.659 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.659 * [taylor]: Taking taylor expansion of im in im 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [backup-simplify]: Simplify (* 1 1) into 1 1.660 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 1.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 1.663 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 1.665 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 1.666 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.666 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.667 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 1.667 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 1.667 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 0 into 0 1.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.669 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.670 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.670 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.672 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.672 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.672 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.674 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.675 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.675 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 1.677 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.677 * [taylor]: Taking taylor expansion of 0 in im 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 1.677 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1 1 1) 1.677 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 1.677 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 1.677 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 1.677 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 1.677 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 1.677 * [taylor]: Taking taylor expansion of 1/3 in im 1.677 * [backup-simplify]: Simplify 1/3 into 1/3 1.677 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 1.677 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.677 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.677 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.677 * [taylor]: Taking taylor expansion of (* re re) in im 1.677 * [taylor]: Taking taylor expansion of re in im 1.677 * [backup-simplify]: Simplify re into re 1.677 * [taylor]: Taking taylor expansion of re in im 1.677 * [backup-simplify]: Simplify re into re 1.677 * [taylor]: Taking taylor expansion of (* im im) in im 1.677 * [taylor]: Taking taylor expansion of im in im 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [taylor]: Taking taylor expansion of im in im 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.678 * [backup-simplify]: Simplify (* 0 0) into 0 1.678 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.678 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.678 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.678 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.679 * [backup-simplify]: Simplify (log re) into (log re) 1.679 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 1.679 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 1.679 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.679 * [taylor]: Taking taylor expansion of 1/3 in re 1.679 * [backup-simplify]: Simplify 1/3 into 1/3 1.679 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.679 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.679 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.679 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.679 * [taylor]: Taking taylor expansion of (* re re) in re 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [taylor]: Taking taylor expansion of re in re 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.679 * [taylor]: Taking taylor expansion of (* im im) in re 1.679 * [taylor]: Taking taylor expansion of im in re 1.679 * [backup-simplify]: Simplify im into im 1.679 * [taylor]: Taking taylor expansion of im in re 1.679 * [backup-simplify]: Simplify im into im 1.679 * [backup-simplify]: Simplify (* 0 0) into 0 1.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.679 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.679 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.680 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.680 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.680 * [backup-simplify]: Simplify (log im) into (log im) 1.680 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.680 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.680 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 1.680 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 1.680 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 1.680 * [taylor]: Taking taylor expansion of 1/3 in re 1.680 * [backup-simplify]: Simplify 1/3 into 1/3 1.680 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 1.680 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.681 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.681 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.681 * [taylor]: Taking taylor expansion of (* re re) in re 1.681 * [taylor]: Taking taylor expansion of re in re 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of re in re 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of (* im im) in re 1.681 * [taylor]: Taking taylor expansion of im in re 1.681 * [backup-simplify]: Simplify im into im 1.681 * [taylor]: Taking taylor expansion of im in re 1.681 * [backup-simplify]: Simplify im into im 1.681 * [backup-simplify]: Simplify (* 0 0) into 0 1.681 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.681 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.681 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.682 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.682 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.682 * [backup-simplify]: Simplify (log im) into (log im) 1.682 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.682 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.682 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.682 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.682 * [taylor]: Taking taylor expansion of 1/3 in im 1.682 * [backup-simplify]: Simplify 1/3 into 1/3 1.682 * [taylor]: Taking taylor expansion of (log im) in im 1.682 * [taylor]: Taking taylor expansion of im in im 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (log 1) into 0 1.683 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.683 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 1.683 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 1.683 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 1.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 1.684 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.684 * [taylor]: Taking taylor expansion of 0 in im 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.685 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.685 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 1.686 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.687 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.687 * [backup-simplify]: Simplify (+ 1 0) into 1 1.687 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.688 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 1.688 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 1.689 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.689 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 1.689 * [taylor]: Taking taylor expansion of 1/6 in im 1.689 * [backup-simplify]: Simplify 1/6 into 1/6 1.689 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.689 * [taylor]: Taking taylor expansion of 1/3 in im 1.689 * [backup-simplify]: Simplify 1/3 into 1/3 1.689 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.689 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.689 * [taylor]: Taking taylor expansion of im in im 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.689 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [backup-simplify]: Simplify (log 1) into 0 1.691 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.691 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 1.691 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 1.691 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.691 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.693 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.693 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 1.694 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.695 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.697 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 1.697 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 1.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.699 * [taylor]: Taking taylor expansion of 0 in im 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.701 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.701 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 1.702 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.705 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 1.706 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 1.707 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) 1.707 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 1.707 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 1.707 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 1.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 1.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 1.707 * [taylor]: Taking taylor expansion of 1/3 in im 1.707 * [backup-simplify]: Simplify 1/3 into 1/3 1.707 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 1.707 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.707 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.707 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.707 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.707 * [taylor]: Taking taylor expansion of re in im 1.707 * [backup-simplify]: Simplify re into re 1.707 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.708 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.708 * [taylor]: Taking taylor expansion of re in im 1.708 * [backup-simplify]: Simplify re into re 1.708 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.708 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.708 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.708 * [taylor]: Taking taylor expansion of im in im 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (/ 1 1) into 1 1.708 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.708 * [taylor]: Taking taylor expansion of im in im 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (/ 1 1) into 1 1.708 * [backup-simplify]: Simplify (* 1 1) into 1 1.709 * [backup-simplify]: Simplify (+ 0 1) into 1 1.709 * [backup-simplify]: Simplify (sqrt 1) into 1 1.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.711 * [backup-simplify]: Simplify (log 1) into 0 1.711 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.711 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 1.711 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 1.711 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.711 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.711 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.711 * [taylor]: Taking taylor expansion of 1/3 in re 1.711 * [backup-simplify]: Simplify 1/3 into 1/3 1.711 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.711 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.711 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.711 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.711 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.711 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.712 * [taylor]: Taking taylor expansion of re in re 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.712 * [taylor]: Taking taylor expansion of re in re 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.712 * [taylor]: Taking taylor expansion of im in re 1.712 * [backup-simplify]: Simplify im into im 1.712 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.712 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.712 * [taylor]: Taking taylor expansion of im in re 1.712 * [backup-simplify]: Simplify im into im 1.712 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.712 * [backup-simplify]: Simplify (* 1 1) into 1 1.713 * [backup-simplify]: Simplify (+ 1 0) into 1 1.713 * [backup-simplify]: Simplify (sqrt 1) into 1 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.715 * [backup-simplify]: Simplify (log 1) into 0 1.715 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.715 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.715 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.715 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 1.715 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 1.715 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 1.715 * [taylor]: Taking taylor expansion of 1/3 in re 1.715 * [backup-simplify]: Simplify 1/3 into 1/3 1.715 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 1.715 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.716 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.716 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.716 * [taylor]: Taking taylor expansion of re in re 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (/ 1 1) into 1 1.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.716 * [taylor]: Taking taylor expansion of re in re 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (/ 1 1) into 1 1.716 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.716 * [taylor]: Taking taylor expansion of im in re 1.716 * [backup-simplify]: Simplify im into im 1.716 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.716 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.716 * [taylor]: Taking taylor expansion of im in re 1.716 * [backup-simplify]: Simplify im into im 1.716 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.717 * [backup-simplify]: Simplify (* 1 1) into 1 1.717 * [backup-simplify]: Simplify (+ 1 0) into 1 1.717 * [backup-simplify]: Simplify (sqrt 1) into 1 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.719 * [backup-simplify]: Simplify (log 1) into 0 1.720 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.720 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.720 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.720 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.720 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.720 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.720 * [taylor]: Taking taylor expansion of -1/3 in im 1.720 * [backup-simplify]: Simplify -1/3 into -1/3 1.720 * [taylor]: Taking taylor expansion of (log re) in im 1.720 * [taylor]: Taking taylor expansion of re in im 1.720 * [backup-simplify]: Simplify re into re 1.720 * [backup-simplify]: Simplify (log re) into (log re) 1.720 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 1.720 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.720 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 1.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.721 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 1.722 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.722 * [taylor]: Taking taylor expansion of 0 in im 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.722 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.723 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 1.723 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.725 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.725 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.726 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.727 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 1.727 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.727 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 1.728 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.728 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.728 * [taylor]: Taking taylor expansion of 1/6 in im 1.728 * [backup-simplify]: Simplify 1/6 into 1/6 1.728 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.728 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.728 * [taylor]: Taking taylor expansion of 1/3 in im 1.728 * [backup-simplify]: Simplify 1/3 into 1/3 1.728 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.728 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.728 * [taylor]: Taking taylor expansion of re in im 1.728 * [backup-simplify]: Simplify re into re 1.728 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.728 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 1.728 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 1.728 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 1.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.728 * [taylor]: Taking taylor expansion of im in im 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (* 1 1) into 1 1.729 * [backup-simplify]: Simplify (/ 1 1) into 1 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.731 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 1.732 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 1.732 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.733 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 1.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 1.734 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.735 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.735 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 1.735 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 1.736 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.737 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.738 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.738 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.740 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.740 * [backup-simplify]: Simplify (+ 0 0) into 0 1.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.742 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.743 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.743 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 1.745 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.745 * [taylor]: Taking taylor expansion of 0 in im 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 1.745 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 1.745 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 1.745 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 1.745 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 1.745 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 1.745 * [taylor]: Taking taylor expansion of 1/3 in im 1.745 * [backup-simplify]: Simplify 1/3 into 1/3 1.745 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 1.745 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.745 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.745 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.745 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.745 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.745 * [taylor]: Taking taylor expansion of -1 in im 1.745 * [backup-simplify]: Simplify -1 into -1 1.745 * [taylor]: Taking taylor expansion of re in im 1.745 * [backup-simplify]: Simplify re into re 1.745 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.745 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.745 * [taylor]: Taking taylor expansion of -1 in im 1.745 * [backup-simplify]: Simplify -1 into -1 1.745 * [taylor]: Taking taylor expansion of re in im 1.745 * [backup-simplify]: Simplify re into re 1.745 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.745 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.745 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.745 * [taylor]: Taking taylor expansion of -1 in im 1.745 * [backup-simplify]: Simplify -1 into -1 1.745 * [taylor]: Taking taylor expansion of im in im 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (/ -1 1) into -1 1.746 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.746 * [taylor]: Taking taylor expansion of -1 in im 1.746 * [backup-simplify]: Simplify -1 into -1 1.746 * [taylor]: Taking taylor expansion of im in im 1.746 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (/ -1 1) into -1 1.746 * [backup-simplify]: Simplify (* -1 -1) into 1 1.747 * [backup-simplify]: Simplify (+ 0 1) into 1 1.747 * [backup-simplify]: Simplify (sqrt 1) into 1 1.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.748 * [backup-simplify]: Simplify (+ 0 0) into 0 1.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.749 * [backup-simplify]: Simplify (log 1) into 0 1.749 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 1.749 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 1.749 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 1.749 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.749 * [taylor]: Taking taylor expansion of 1/3 in re 1.749 * [backup-simplify]: Simplify 1/3 into 1/3 1.749 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.749 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.749 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.749 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.750 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.750 * [taylor]: Taking taylor expansion of -1 in re 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of re in re 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ -1 1) into -1 1.750 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.750 * [taylor]: Taking taylor expansion of -1 in re 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of re in re 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 1 into 1 1.750 * [backup-simplify]: Simplify (/ -1 1) into -1 1.750 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.750 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.750 * [taylor]: Taking taylor expansion of -1 in re 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of im in re 1.750 * [backup-simplify]: Simplify im into im 1.750 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.750 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.750 * [taylor]: Taking taylor expansion of -1 in re 1.750 * [backup-simplify]: Simplify -1 into -1 1.750 * [taylor]: Taking taylor expansion of im in re 1.750 * [backup-simplify]: Simplify im into im 1.750 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.756 * [backup-simplify]: Simplify (* -1 -1) into 1 1.757 * [backup-simplify]: Simplify (+ 1 0) into 1 1.757 * [backup-simplify]: Simplify (sqrt 1) into 1 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.759 * [backup-simplify]: Simplify (log 1) into 0 1.760 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.760 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.760 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.760 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 1.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 1.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 1.760 * [taylor]: Taking taylor expansion of 1/3 in re 1.760 * [backup-simplify]: Simplify 1/3 into 1/3 1.760 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 1.760 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.760 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.760 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.760 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.760 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.760 * [taylor]: Taking taylor expansion of -1 in re 1.760 * [backup-simplify]: Simplify -1 into -1 1.760 * [taylor]: Taking taylor expansion of re in re 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify (/ -1 1) into -1 1.760 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.760 * [taylor]: Taking taylor expansion of -1 in re 1.760 * [backup-simplify]: Simplify -1 into -1 1.760 * [taylor]: Taking taylor expansion of re in re 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (/ -1 1) into -1 1.761 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.761 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.761 * [taylor]: Taking taylor expansion of -1 in re 1.761 * [backup-simplify]: Simplify -1 into -1 1.761 * [taylor]: Taking taylor expansion of im in re 1.761 * [backup-simplify]: Simplify im into im 1.761 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.761 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.761 * [taylor]: Taking taylor expansion of -1 in re 1.761 * [backup-simplify]: Simplify -1 into -1 1.761 * [taylor]: Taking taylor expansion of im in re 1.761 * [backup-simplify]: Simplify im into im 1.761 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.761 * [backup-simplify]: Simplify (* -1 -1) into 1 1.761 * [backup-simplify]: Simplify (+ 1 0) into 1 1.762 * [backup-simplify]: Simplify (sqrt 1) into 1 1.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.764 * [backup-simplify]: Simplify (log 1) into 0 1.764 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.764 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 1.764 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.764 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 1.764 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 1.764 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 1.764 * [taylor]: Taking taylor expansion of -1/3 in im 1.764 * [backup-simplify]: Simplify -1/3 into -1/3 1.764 * [taylor]: Taking taylor expansion of (log re) in im 1.764 * [taylor]: Taking taylor expansion of re in im 1.764 * [backup-simplify]: Simplify re into re 1.764 * [backup-simplify]: Simplify (log re) into (log re) 1.764 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 1.764 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 1.765 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 1.765 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.766 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.766 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 1.766 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.766 * [taylor]: Taking taylor expansion of 0 in im 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.767 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 1.768 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.769 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.770 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.770 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.771 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 1.772 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.772 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 1.773 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 1.773 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 1.773 * [taylor]: Taking taylor expansion of 1/6 in im 1.773 * [backup-simplify]: Simplify 1/6 into 1/6 1.773 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 1.773 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 1.773 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 1.773 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 1.773 * [taylor]: Taking taylor expansion of 1/3 in im 1.773 * [backup-simplify]: Simplify 1/3 into 1/3 1.773 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 1.773 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.773 * [taylor]: Taking taylor expansion of re in im 1.773 * [backup-simplify]: Simplify re into re 1.773 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.773 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 1.773 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 1.773 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 1.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.773 * [taylor]: Taking taylor expansion of im in im 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 1 into 1 1.773 * [backup-simplify]: Simplify (* 1 1) into 1 1.774 * [backup-simplify]: Simplify (/ 1 1) into 1 1.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.776 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 1.777 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.778 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 1.778 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 1.779 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 1.781 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.782 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 1.783 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.785 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.785 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.787 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.788 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 1.788 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 1.789 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.789 * [taylor]: Taking taylor expansion of 0 in im 1.789 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 1.790 * * * [progress]: simplifying candidates 1.791 * [simplify]: Simplifying: (expm1 (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (log1p (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (* (exp re) (exp (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (log (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (exp (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (* (cbrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (cbrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))) (cbrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (* (* (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (sqrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (sqrt (+ re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (+ (pow re 3) (pow (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) 3)) (+ (* re re) (- (* (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) (* re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))))) (- (* re re) (* (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))))) (- re (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (+ re im) (* 2 re) 0 (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) (+ (pow im 1/3) (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3)))) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 1.791 * [simplify]: Sending expressions to egg_math: (expm1 (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (log1p (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (* (exp h1) (exp (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (log (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (exp (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (* (cbrt (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (cbrt (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0))))))) (cbrt (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (* (* (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0))))) (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (sqrt (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (sqrt (+ h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (+ (pow h1 3) (pow (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))) 3)) (+ (* h1 h1) (- (* (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))) (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0))))) (* h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0))))))) (- (* h1 h1) (* (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))) (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0)))))) (- h1 (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0))))) (expm1 (cbrt (hypot h1 h0))) (log1p (cbrt (hypot h1 h0))) (log (cbrt (hypot h1 h0))) (exp (cbrt (hypot h1 h0))) (cbrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (cbrt (cbrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))) (cbrt 1) (cbrt (hypot h1 h0)) (* (cbrt (cbrt (hypot h1 h0))) (cbrt (cbrt (hypot h1 h0)))) (cbrt (cbrt (hypot h1 h0))) (* (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0))) (expm1 (cbrt (hypot h1 h0))) (log1p (cbrt (hypot h1 h0))) (log (cbrt (hypot h1 h0))) (exp (cbrt (hypot h1 h0))) (cbrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (cbrt (cbrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))) (cbrt 1) (cbrt (hypot h1 h0)) (* (cbrt (cbrt (hypot h1 h0))) (cbrt (cbrt (hypot h1 h0)))) (cbrt (cbrt (hypot h1 h0))) (* (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0))) (expm1 (cbrt (hypot h1 h0))) (log1p (cbrt (hypot h1 h0))) (log (cbrt (hypot h1 h0))) (exp (cbrt (hypot h1 h0))) (cbrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (cbrt (cbrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))) (cbrt 1) (cbrt (hypot h1 h0)) (* (cbrt (cbrt (hypot h1 h0))) (cbrt (cbrt (hypot h1 h0)))) (cbrt (cbrt (hypot h1 h0))) (* (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0))) (+ h1 h0) (* 2 h1) 0 (+ (pow h0 1/3) (* 1/6 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/3)))) (pow (/ 1 h1) -1/3) (pow (/ -1 h1) -1/3) (+ (pow h0 1/3) (* 1/6 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/3)))) (pow (/ 1 h1) -1/3) (pow (/ -1 h1) -1/3) (+ (pow h0 1/3) (* 1/6 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/3)))) (pow (/ 1 h1) -1/3) (pow (/ -1 h1) -1/3) 1.795 * * [simplify]: iteration 0 : 153 enodes (cost 482 ) 1.798 * * [simplify]: iteration 1 : 514 enodes (cost 416 ) 1.810 * * [simplify]: iteration 2 : 2454 enodes (cost 402 ) 1.871 * * [simplify]: iteration 3 : 5001 enodes (cost 378 ) 1.873 * * * [progress]: adding candidates to table 2.160 * [progress]: [Phase 3 of 3] Extracting. 2.160 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.163 * * * [regime-changes]: Trying 2 branch expressions: (im re) 2.163 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.202 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 2.258 * * * [regime]: Found split indices: #