10.617 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 1.042 * * * [progress]: [2/2] Setting up program. 1.045 * [progress]: [Phase 2 of 3] Improving. 1.045 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 1.047 * * [simplify]: iteration 0 : 22 enodes (cost 8 ) 1.048 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 1.049 * * [simplify]: iteration 2 : 24 enodes (cost 8 ) 1.049 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 1.050 * * [progress]: iteration 1 / 4 1.050 * * * [progress]: picking best candidate 1.053 * * * * [pick]: Picked # 1.053 * * * [progress]: localizing error 1.062 * * * [progress]: generating rewritten candidates 1.063 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1.066 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.083 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 1.087 * * * [progress]: generating series expansions 1.087 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 1.087 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.088 * [taylor]: Taking taylor expansion of re in im 1.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.088 * [taylor]: Taking taylor expansion of im in im 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.088 * [taylor]: Taking taylor expansion of re in re 1.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.088 * [taylor]: Taking taylor expansion of im in re 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.088 * [taylor]: Taking taylor expansion of re in re 1.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.088 * [taylor]: Taking taylor expansion of im in re 1.088 * [taylor]: Taking taylor expansion of im in im 1.089 * [taylor]: Taking taylor expansion of 0 in im 1.089 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.089 * [taylor]: Taking taylor expansion of 1/2 in im 1.089 * [taylor]: Taking taylor expansion of im in im 1.089 * [taylor]: Taking taylor expansion of 0 in im 1.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.089 * [taylor]: Taking taylor expansion of im in im 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.089 * [taylor]: Taking taylor expansion of re in im 1.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.090 * [taylor]: Taking taylor expansion of im in re 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.090 * [taylor]: Taking taylor expansion of re in re 1.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.090 * [taylor]: Taking taylor expansion of im in re 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.090 * [taylor]: Taking taylor expansion of re in re 1.090 * [taylor]: Taking taylor expansion of 1 in im 1.090 * [taylor]: Taking taylor expansion of 0 in im 1.090 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.090 * [taylor]: Taking taylor expansion of 1/2 in im 1.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.090 * [taylor]: Taking taylor expansion of im in im 1.091 * [taylor]: Taking taylor expansion of 0 in im 1.091 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.091 * [taylor]: Taking taylor expansion of im in im 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.091 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.091 * [taylor]: Taking taylor expansion of re in im 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.092 * [taylor]: Taking taylor expansion of im in re 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.092 * [taylor]: Taking taylor expansion of re in re 1.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.092 * [taylor]: Taking taylor expansion of im in re 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.092 * [taylor]: Taking taylor expansion of re in re 1.092 * [taylor]: Taking taylor expansion of 1 in im 1.092 * [taylor]: Taking taylor expansion of 0 in im 1.092 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.092 * [taylor]: Taking taylor expansion of 1/2 in im 1.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.092 * [taylor]: Taking taylor expansion of im in im 1.093 * [taylor]: Taking taylor expansion of 0 in im 1.093 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.093 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.093 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.093 * [taylor]: Taking taylor expansion of re in im 1.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.093 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.093 * [taylor]: Taking taylor expansion of re in im 1.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.093 * [taylor]: Taking taylor expansion of im in im 1.093 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.094 * [taylor]: Taking taylor expansion of im in re 1.094 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.094 * [taylor]: Taking taylor expansion of re in re 1.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.094 * [taylor]: Taking taylor expansion of im in re 1.094 * [taylor]: Taking taylor expansion of im in im 1.094 * [taylor]: Taking taylor expansion of 1 in im 1.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.094 * [taylor]: Taking taylor expansion of 1/2 in im 1.094 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.094 * [taylor]: Taking taylor expansion of im in im 1.095 * [taylor]: Taking taylor expansion of 0 in im 1.095 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.095 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.095 * [taylor]: Taking taylor expansion of re in im 1.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.095 * [taylor]: Taking taylor expansion of im in im 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.095 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.095 * [taylor]: Taking taylor expansion of re in im 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.095 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.095 * [taylor]: Taking taylor expansion of re in re 1.095 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.095 * [taylor]: Taking taylor expansion of im in re 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.096 * [taylor]: Taking taylor expansion of im in re 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [taylor]: Taking taylor expansion of 2 in im 1.096 * [taylor]: Taking taylor expansion of 0 in im 1.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.097 * [taylor]: Taking taylor expansion of 1/2 in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.097 * [taylor]: Taking taylor expansion of im in im 1.097 * [taylor]: Taking taylor expansion of 0 in im 1.097 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.097 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.097 * [taylor]: Taking taylor expansion of im in im 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.097 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.098 * [taylor]: Taking taylor expansion of re in im 1.098 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.098 * [taylor]: Taking taylor expansion of re in im 1.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.098 * [taylor]: Taking taylor expansion of im in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.098 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.098 * [taylor]: Taking taylor expansion of im in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.098 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.098 * [taylor]: Taking taylor expansion of re in re 1.098 * [taylor]: Taking taylor expansion of 0 in im 1.099 * [taylor]: Taking taylor expansion of 0 in im 1.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.099 * [taylor]: Taking taylor expansion of 1/2 in im 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.099 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.099 * [taylor]: Taking taylor expansion of im in im 1.099 * [taylor]: Taking taylor expansion of 0 in im 1.100 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.100 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 1.100 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.100 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.100 * [taylor]: Taking taylor expansion of 2.0 in im 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.100 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.100 * [taylor]: Taking taylor expansion of re in im 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.100 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.100 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.100 * [taylor]: Taking taylor expansion of re in im 1.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.100 * [taylor]: Taking taylor expansion of im in im 1.100 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.100 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.100 * [taylor]: Taking taylor expansion of 2.0 in re 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.100 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.100 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.100 * [taylor]: Taking taylor expansion of re in re 1.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.100 * [taylor]: Taking taylor expansion of im in re 1.101 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.101 * [taylor]: Taking taylor expansion of 2.0 in re 1.101 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.101 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.101 * [taylor]: Taking taylor expansion of re in re 1.101 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.101 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.101 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.101 * [taylor]: Taking taylor expansion of re in re 1.101 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.101 * [taylor]: Taking taylor expansion of im in re 1.101 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.101 * [taylor]: Taking taylor expansion of 2.0 in im 1.101 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.101 * [taylor]: Taking taylor expansion of im in im 1.102 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.102 * [taylor]: Taking taylor expansion of 1/2 in im 1.102 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.102 * [taylor]: Taking taylor expansion of 2.0 in im 1.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.102 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.102 * [taylor]: Taking taylor expansion of im in im 1.103 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.103 * [taylor]: Taking taylor expansion of 1/8 in im 1.103 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.103 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.103 * [taylor]: Taking taylor expansion of 2.0 in im 1.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.103 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.103 * [taylor]: Taking taylor expansion of im in im 1.104 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 1.104 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.104 * [taylor]: Taking taylor expansion of 2.0 in im 1.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.104 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.104 * [taylor]: Taking taylor expansion of re in im 1.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.104 * [taylor]: Taking taylor expansion of im in im 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.104 * [taylor]: Taking taylor expansion of re in im 1.104 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.104 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.104 * [taylor]: Taking taylor expansion of 2.0 in re 1.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.104 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.104 * [taylor]: Taking taylor expansion of re in re 1.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.104 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.104 * [taylor]: Taking taylor expansion of im in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.105 * [taylor]: Taking taylor expansion of re in re 1.105 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.105 * [taylor]: Taking taylor expansion of 2.0 in re 1.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.105 * [taylor]: Taking taylor expansion of re in re 1.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.105 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.105 * [taylor]: Taking taylor expansion of im in re 1.105 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.105 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.105 * [taylor]: Taking taylor expansion of re in re 1.105 * [taylor]: Taking taylor expansion of 0 in im 1.105 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.105 * [taylor]: Taking taylor expansion of 2.0 in im 1.105 * [taylor]: Taking taylor expansion of NAN in im 1.106 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 1.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.106 * [taylor]: Taking taylor expansion of 2.0 in im 1.106 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.106 * [taylor]: Taking taylor expansion of NAN in im 1.107 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) (* 2 (* (sqrt 2.0) (pow NAN 5)))) in im 1.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (sqrt 2.0) NAN) (pow im 2))) in im 1.107 * [taylor]: Taking taylor expansion of 1/2 in im 1.107 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 1.107 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.107 * [taylor]: Taking taylor expansion of 2.0 in im 1.107 * [taylor]: Taking taylor expansion of NAN in im 1.107 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.107 * [taylor]: Taking taylor expansion of im in im 1.107 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in im 1.107 * [taylor]: Taking taylor expansion of 2 in im 1.107 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 1.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.107 * [taylor]: Taking taylor expansion of 2.0 in im 1.107 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 1.107 * [taylor]: Taking taylor expansion of NAN in im 1.109 * [taylor]: Taking taylor expansion of (- (* 3 (* (sqrt 2.0) (pow NAN 7))) (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2))) in im 1.109 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt 2.0) (pow NAN 7))) in im 1.109 * [taylor]: Taking taylor expansion of 3 in im 1.109 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 7)) in im 1.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.109 * [taylor]: Taking taylor expansion of 2.0 in im 1.109 * [taylor]: Taking taylor expansion of (pow NAN 7) in im 1.109 * [taylor]: Taking taylor expansion of NAN in im 1.109 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 2)) in im 1.109 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 1.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.109 * [taylor]: Taking taylor expansion of 2.0 in im 1.109 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.109 * [taylor]: Taking taylor expansion of NAN in im 1.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.109 * [taylor]: Taking taylor expansion of im in im 1.111 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 1.111 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.111 * [taylor]: Taking taylor expansion of 2.0 in im 1.111 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.111 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.111 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.111 * [taylor]: Taking taylor expansion of re in im 1.111 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.111 * [taylor]: Taking taylor expansion of re in im 1.111 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.111 * [taylor]: Taking taylor expansion of 2.0 in re 1.111 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.111 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.111 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.111 * [taylor]: Taking taylor expansion of im in re 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.112 * [taylor]: Taking taylor expansion of re in re 1.112 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.112 * [taylor]: Taking taylor expansion of re in re 1.112 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.112 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.112 * [taylor]: Taking taylor expansion of 2.0 in re 1.112 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.112 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.112 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.112 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.112 * [taylor]: Taking taylor expansion of im in re 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.112 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.113 * [taylor]: Taking taylor expansion of re in re 1.113 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.113 * [taylor]: Taking taylor expansion of re in re 1.113 * [taylor]: Taking taylor expansion of 0 in im 1.113 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 2)) in im 1.113 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.113 * [taylor]: Taking taylor expansion of 2.0 in im 1.113 * [taylor]: Taking taylor expansion of NAN in im 1.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.113 * [taylor]: Taking taylor expansion of im in im 1.114 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 3)) (pow im 4)) in im 1.114 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 1.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.114 * [taylor]: Taking taylor expansion of 2.0 in im 1.114 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.114 * [taylor]: Taking taylor expansion of NAN in im 1.114 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.115 * [taylor]: Taking taylor expansion of im in im 1.117 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)))) in im 1.117 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (sqrt 2.0) NAN) (pow im 4))) in im 1.117 * [taylor]: Taking taylor expansion of 1/8 in im 1.117 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) NAN) (pow im 4)) in im 1.117 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.117 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.117 * [taylor]: Taking taylor expansion of 2.0 in im 1.117 * [taylor]: Taking taylor expansion of NAN in im 1.117 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.117 * [taylor]: Taking taylor expansion of im in im 1.118 * [taylor]: Taking taylor expansion of (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6))) in im 1.118 * [taylor]: Taking taylor expansion of 2 in im 1.118 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (pow NAN 5)) (pow im 6)) in im 1.118 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 1.118 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.118 * [taylor]: Taking taylor expansion of 2.0 in im 1.118 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 1.118 * [taylor]: Taking taylor expansion of NAN in im 1.118 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.118 * [taylor]: Taking taylor expansion of im in im 1.121 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 1.121 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 1.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.121 * [taylor]: Taking taylor expansion of re in im 1.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.122 * [taylor]: Taking taylor expansion of re in re 1.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.122 * [taylor]: Taking taylor expansion of im in re 1.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.122 * [taylor]: Taking taylor expansion of re in re 1.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.122 * [taylor]: Taking taylor expansion of im in re 1.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.122 * [taylor]: Taking taylor expansion of im in im 1.122 * [taylor]: Taking taylor expansion of 0 in im 1.122 * [taylor]: Taking taylor expansion of 1 in im 1.122 * [taylor]: Taking taylor expansion of 0 in im 1.122 * [taylor]: Taking taylor expansion of 0 in im 1.123 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.123 * [taylor]: Taking taylor expansion of im in im 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.123 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.123 * [taylor]: Taking taylor expansion of re in im 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.123 * [taylor]: Taking taylor expansion of im in re 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.123 * [taylor]: Taking taylor expansion of re in re 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.123 * [taylor]: Taking taylor expansion of im in re 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.123 * [taylor]: Taking taylor expansion of re in re 1.123 * [taylor]: Taking taylor expansion of 1 in im 1.123 * [taylor]: Taking taylor expansion of 0 in im 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.123 * [taylor]: Taking taylor expansion of im in im 1.124 * [taylor]: Taking taylor expansion of 0 in im 1.124 * [taylor]: Taking taylor expansion of 0 in im 1.125 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.125 * [taylor]: Taking taylor expansion of im in im 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.125 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.125 * [taylor]: Taking taylor expansion of re in im 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.125 * [taylor]: Taking taylor expansion of im in re 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.125 * [taylor]: Taking taylor expansion of re in re 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.125 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.125 * [taylor]: Taking taylor expansion of im in re 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.125 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.125 * [taylor]: Taking taylor expansion of re in re 1.125 * [taylor]: Taking taylor expansion of 1 in im 1.125 * [taylor]: Taking taylor expansion of 0 in im 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.125 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.125 * [taylor]: Taking taylor expansion of im in im 1.126 * [taylor]: Taking taylor expansion of 0 in im 1.126 * [taylor]: Taking taylor expansion of 0 in im 1.126 * * * [progress]: simplifying candidates 1.127 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (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) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (* 1/2 (* (sqrt 2.0) (* NAN re))) (+ (* (sqrt 2.0) (* NAN im)) (* 1/8 (* (sqrt 2.0) (* (pow NAN 3) (pow re 2)))))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2)))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 1.131 * * [simplify]: iteration 0 : 277 enodes (cost 428 ) 1.136 * * [simplify]: iteration 1 : 1024 enodes (cost 399 ) 1.152 * * [simplify]: iteration 2 : 3458 enodes (cost 393 ) 1.214 * * [simplify]: iteration 3 : 5002 enodes (cost 391 ) 1.217 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) 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)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (pow im 2) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (neg (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (* (sqrt 2.0) (+ (* (* (pow NAN 3) (pow re 2)) 1/8) (* (* NAN re) 1/2))) (* (sqrt 2.0) (* NAN im))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* (sqrt 2.0) NAN)) (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2)))) 0 (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 1.217 * * * [progress]: adding candidates to table 1.319 * * [progress]: iteration 2 / 4 1.319 * * * [progress]: picking best candidate 1.336 * * * * [pick]: Picked # 1.336 * * * [progress]: localizing error 1.349 * * * [progress]: generating rewritten candidates 1.349 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 2 1) 1.354 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2 1) 1.358 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 2) 1.364 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) 1.371 * * * [progress]: generating series expansions 1.371 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 2 1) 1.372 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.372 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.372 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.372 * [taylor]: Taking taylor expansion of re in im 1.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.372 * [taylor]: Taking taylor expansion of im in im 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.372 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.372 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.372 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.372 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.372 * [taylor]: Taking taylor expansion of im in re 1.373 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of 0 in im 1.373 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.373 * [taylor]: Taking taylor expansion of 1/2 in im 1.373 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of 0 in im 1.373 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.373 * [taylor]: Taking taylor expansion of im in im 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.373 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.373 * [taylor]: Taking taylor expansion of re in im 1.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.374 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.374 * [taylor]: Taking taylor expansion of im in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.374 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.374 * [taylor]: Taking taylor expansion of re in re 1.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.374 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.374 * [taylor]: Taking taylor expansion of im in re 1.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.374 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.374 * [taylor]: Taking taylor expansion of re in re 1.374 * [taylor]: Taking taylor expansion of 1 in im 1.374 * [taylor]: Taking taylor expansion of 0 in im 1.374 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.374 * [taylor]: Taking taylor expansion of 1/2 in im 1.374 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.374 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of 0 in im 1.375 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.375 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.375 * [taylor]: Taking taylor expansion of im in im 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.375 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.375 * [taylor]: Taking taylor expansion of re in im 1.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.376 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.376 * [taylor]: Taking taylor expansion of im in re 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.376 * [taylor]: Taking taylor expansion of re in re 1.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.376 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.376 * [taylor]: Taking taylor expansion of im in re 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.376 * [taylor]: Taking taylor expansion of re in re 1.376 * [taylor]: Taking taylor expansion of 1 in im 1.376 * [taylor]: Taking taylor expansion of 0 in im 1.376 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.376 * [taylor]: Taking taylor expansion of 1/2 in im 1.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.376 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of 0 in im 1.377 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2 1) 1.377 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.377 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.377 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.377 * [taylor]: Taking taylor expansion of re in im 1.377 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.377 * [taylor]: Taking taylor expansion of im in im 1.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.377 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.378 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.378 * [taylor]: Taking taylor expansion of im in re 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.378 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.378 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.378 * [taylor]: Taking taylor expansion of re in re 1.378 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.378 * [taylor]: Taking taylor expansion of im in re 1.378 * [taylor]: Taking taylor expansion of im in im 1.378 * [taylor]: Taking taylor expansion of 0 in im 1.378 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.378 * [taylor]: Taking taylor expansion of 1/2 in im 1.378 * [taylor]: Taking taylor expansion of im in im 1.378 * [taylor]: Taking taylor expansion of 0 in im 1.379 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.379 * [taylor]: Taking taylor expansion of im in im 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.379 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.379 * [taylor]: Taking taylor expansion of re in im 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.379 * [taylor]: Taking taylor expansion of im in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.379 * [taylor]: Taking taylor expansion of re in re 1.379 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.379 * [taylor]: Taking taylor expansion of im in re 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.380 * [taylor]: Taking taylor expansion of re in re 1.380 * [taylor]: Taking taylor expansion of 1 in im 1.380 * [taylor]: Taking taylor expansion of 0 in im 1.380 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.380 * [taylor]: Taking taylor expansion of 1/2 in im 1.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.380 * [taylor]: Taking taylor expansion of im in im 1.380 * [taylor]: Taking taylor expansion of 0 in im 1.381 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.381 * [taylor]: Taking taylor expansion of im in im 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.381 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.381 * [taylor]: Taking taylor expansion of re in im 1.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.382 * [taylor]: Taking taylor expansion of 1 in im 1.382 * [taylor]: Taking taylor expansion of 0 in im 1.382 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.382 * [taylor]: Taking taylor expansion of 1/2 in im 1.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.382 * [taylor]: Taking taylor expansion of 0 in im 1.383 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 2) 1.383 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.383 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.383 * [taylor]: Taking taylor expansion of re in im 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.383 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.383 * [taylor]: Taking taylor expansion of re in im 1.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.383 * [taylor]: Taking taylor expansion of im in im 1.383 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.383 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.384 * [taylor]: Taking taylor expansion of im in im 1.384 * [taylor]: Taking taylor expansion of 1 in im 1.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.384 * [taylor]: Taking taylor expansion of 1/2 in im 1.384 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.384 * [taylor]: Taking taylor expansion of im in im 1.384 * [taylor]: Taking taylor expansion of 0 in im 1.385 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.385 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.385 * [taylor]: Taking taylor expansion of re in im 1.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.385 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.385 * [taylor]: Taking taylor expansion of im in im 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.385 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.385 * [taylor]: Taking taylor expansion of re in im 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.385 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.385 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.385 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.385 * [taylor]: Taking taylor expansion of re in re 1.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.385 * [taylor]: Taking taylor expansion of im in re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.386 * [taylor]: Taking taylor expansion of re in re 1.386 * [taylor]: Taking taylor expansion of 2 in im 1.386 * [taylor]: Taking taylor expansion of 0 in im 1.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.386 * [taylor]: Taking taylor expansion of 1/2 in im 1.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.386 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.386 * [taylor]: Taking taylor expansion of im in im 1.387 * [taylor]: Taking taylor expansion of 0 in im 1.387 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.387 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.387 * [taylor]: Taking taylor expansion of im in im 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.387 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.387 * [taylor]: Taking taylor expansion of re in im 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.387 * [taylor]: Taking taylor expansion of re in im 1.387 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.387 * [taylor]: Taking taylor expansion of im in re 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.388 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.388 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.388 * [taylor]: Taking taylor expansion of im in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.388 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.388 * [taylor]: Taking taylor expansion of re in re 1.388 * [taylor]: Taking taylor expansion of 0 in im 1.388 * [taylor]: Taking taylor expansion of 0 in im 1.389 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.389 * [taylor]: Taking taylor expansion of 1/2 in im 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.389 * [taylor]: Taking taylor expansion of 0 in im 1.389 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2) 1.389 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.389 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.389 * [taylor]: Taking taylor expansion of re in im 1.389 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.389 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.389 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.389 * [taylor]: Taking taylor expansion of re in im 1.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.389 * [taylor]: Taking taylor expansion of im in im 1.390 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.390 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [taylor]: Taking taylor expansion of im in im 1.390 * [taylor]: Taking taylor expansion of 1 in im 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.391 * [taylor]: Taking taylor expansion of 1/2 in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.391 * [taylor]: Taking taylor expansion of 0 in im 1.391 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.391 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.392 * [taylor]: Taking taylor expansion of re in re 1.392 * [taylor]: Taking taylor expansion of 2 in im 1.392 * [taylor]: Taking taylor expansion of 0 in im 1.393 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.393 * [taylor]: Taking taylor expansion of 1/2 in im 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.393 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.393 * [taylor]: Taking taylor expansion of im in im 1.393 * [taylor]: Taking taylor expansion of 0 in im 1.393 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.394 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.394 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.394 * [taylor]: Taking taylor expansion of im in im 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.394 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.394 * [taylor]: Taking taylor expansion of re in im 1.394 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.394 * [taylor]: Taking taylor expansion of re in im 1.394 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.394 * [taylor]: Taking taylor expansion of im in re 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.395 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.395 * [taylor]: Taking taylor expansion of re in re 1.395 * [taylor]: Taking taylor expansion of 0 in im 1.395 * [taylor]: Taking taylor expansion of 0 in im 1.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.395 * [taylor]: Taking taylor expansion of 1/2 in im 1.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.395 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.395 * [taylor]: Taking taylor expansion of im in im 1.396 * [taylor]: Taking taylor expansion of 0 in im 1.396 * * * [progress]: simplifying candidates 1.396 * [simplify]: Simplifying using # : (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)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (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) (* (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) im re (* -1 re) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 1.400 * * [simplify]: iteration 0 : 141 enodes (cost 396 ) 1.403 * * [simplify]: iteration 1 : 358 enodes (cost 372 ) 1.409 * * [simplify]: iteration 2 : 866 enodes (cost 364 ) 1.425 * * [simplify]: iteration 3 : 2557 enodes (cost 362 ) 1.471 * * [simplify]: iteration 4 : 5001 enodes (cost 362 ) 1.474 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) 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)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (exp (+ (sqrt (+ (* re re) (* im im))) 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)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (* im im) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 1.474 * * * [progress]: adding candidates to table 1.591 * * [progress]: iteration 3 / 4 1.591 * * * [progress]: picking best candidate 1.604 * * * * [pick]: Picked # 1.604 * * * [progress]: localizing error 1.618 * * * [progress]: generating rewritten candidates 1.618 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.621 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.632 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.637 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.642 * * * [progress]: generating series expansions 1.642 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 1.643 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.643 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.643 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.643 * [taylor]: Taking taylor expansion of re in im 1.643 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.643 * [taylor]: Taking taylor expansion of im in im 1.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.643 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.643 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.643 * [taylor]: Taking taylor expansion of re in re 1.643 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.643 * [taylor]: Taking taylor expansion of im in re 1.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.643 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.643 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.643 * [taylor]: Taking taylor expansion of re in re 1.643 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.643 * [taylor]: Taking taylor expansion of im in re 1.644 * [taylor]: Taking taylor expansion of im in im 1.644 * [taylor]: Taking taylor expansion of 0 in im 1.644 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.644 * [taylor]: Taking taylor expansion of 1/2 in im 1.644 * [taylor]: Taking taylor expansion of im in im 1.644 * [taylor]: Taking taylor expansion of 0 in im 1.644 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.644 * [taylor]: Taking taylor expansion of im in im 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.644 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.644 * [taylor]: Taking taylor expansion of re in im 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.645 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.645 * [taylor]: Taking taylor expansion of im in re 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.645 * [taylor]: Taking taylor expansion of re in re 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.645 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.645 * [taylor]: Taking taylor expansion of im in re 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.645 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.645 * [taylor]: Taking taylor expansion of re in re 1.645 * [taylor]: Taking taylor expansion of 1 in im 1.645 * [taylor]: Taking taylor expansion of 0 in im 1.646 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.646 * [taylor]: Taking taylor expansion of 1/2 in im 1.646 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.646 * [taylor]: Taking taylor expansion of im in im 1.646 * [taylor]: Taking taylor expansion of 0 in im 1.646 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.646 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.646 * [taylor]: Taking taylor expansion of im in im 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.646 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.646 * [taylor]: Taking taylor expansion of re in im 1.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.647 * [taylor]: Taking taylor expansion of im in re 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.647 * [taylor]: Taking taylor expansion of im in re 1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [taylor]: Taking taylor expansion of 1 in im 1.647 * [taylor]: Taking taylor expansion of 0 in im 1.647 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.648 * [taylor]: Taking taylor expansion of 1/2 in im 1.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.648 * [taylor]: Taking taylor expansion of im in im 1.648 * [taylor]: Taking taylor expansion of 0 in im 1.648 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.648 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.648 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.648 * [taylor]: Taking taylor expansion of re in im 1.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.648 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.648 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.648 * [taylor]: Taking taylor expansion of re in im 1.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.648 * [taylor]: Taking taylor expansion of im in im 1.649 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.649 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.649 * [taylor]: Taking taylor expansion of im in re 1.649 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.649 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.649 * [taylor]: Taking taylor expansion of re in re 1.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.649 * [taylor]: Taking taylor expansion of im in re 1.649 * [taylor]: Taking taylor expansion of im in im 1.649 * [taylor]: Taking taylor expansion of 1 in im 1.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.650 * [taylor]: Taking taylor expansion of 1/2 in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.650 * [taylor]: Taking taylor expansion of im in im 1.650 * [taylor]: Taking taylor expansion of 0 in im 1.650 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.650 * [taylor]: Taking taylor expansion of re in im 1.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.650 * [taylor]: Taking taylor expansion of im in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.650 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.650 * [taylor]: Taking taylor expansion of re in im 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.651 * [taylor]: Taking taylor expansion of re in re 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.651 * [taylor]: Taking taylor expansion of im in re 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.651 * [taylor]: Taking taylor expansion of re in re 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.651 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.651 * [taylor]: Taking taylor expansion of re in re 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.651 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.651 * [taylor]: Taking taylor expansion of im in re 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.651 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.651 * [taylor]: Taking taylor expansion of re in re 1.651 * [taylor]: Taking taylor expansion of 2 in im 1.651 * [taylor]: Taking taylor expansion of 0 in im 1.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.652 * [taylor]: Taking taylor expansion of 1/2 in im 1.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.652 * [taylor]: Taking taylor expansion of im in im 1.652 * [taylor]: Taking taylor expansion of 0 in im 1.653 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.653 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.653 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.653 * [taylor]: Taking taylor expansion of im in im 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.653 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.653 * [taylor]: Taking taylor expansion of re in im 1.653 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.653 * [taylor]: Taking taylor expansion of re in im 1.653 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.653 * [taylor]: Taking taylor expansion of im in re 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.653 * [taylor]: Taking taylor expansion of re in re 1.653 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.653 * [taylor]: Taking taylor expansion of re in re 1.653 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.653 * [taylor]: Taking taylor expansion of im in re 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.654 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.654 * [taylor]: Taking taylor expansion of re in re 1.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.654 * [taylor]: Taking taylor expansion of re in re 1.654 * [taylor]: Taking taylor expansion of 0 in im 1.654 * [taylor]: Taking taylor expansion of 0 in im 1.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.654 * [taylor]: Taking taylor expansion of 1/2 in im 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.654 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.654 * [taylor]: Taking taylor expansion of im in im 1.655 * [taylor]: Taking taylor expansion of 0 in im 1.655 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.655 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.655 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.655 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.655 * [taylor]: Taking taylor expansion of re in im 1.655 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.655 * [taylor]: Taking taylor expansion of im in im 1.655 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.655 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.655 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.655 * [taylor]: Taking taylor expansion of re in re 1.655 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.655 * [taylor]: Taking taylor expansion of im in re 1.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.656 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.656 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.656 * [taylor]: Taking taylor expansion of re in re 1.656 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.656 * [taylor]: Taking taylor expansion of im in re 1.656 * [taylor]: Taking taylor expansion of im in im 1.656 * [taylor]: Taking taylor expansion of 0 in im 1.656 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.656 * [taylor]: Taking taylor expansion of 1/2 in im 1.656 * [taylor]: Taking taylor expansion of im in im 1.656 * [taylor]: Taking taylor expansion of 0 in im 1.657 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.657 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.657 * [taylor]: Taking taylor expansion of im in im 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.657 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.657 * [taylor]: Taking taylor expansion of re in im 1.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.657 * [taylor]: Taking taylor expansion of im in re 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.657 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.657 * [taylor]: Taking taylor expansion of re in re 1.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.657 * [taylor]: Taking taylor expansion of im in re 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.657 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.657 * [taylor]: Taking taylor expansion of re in re 1.658 * [taylor]: Taking taylor expansion of 1 in im 1.658 * [taylor]: Taking taylor expansion of 0 in im 1.658 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.658 * [taylor]: Taking taylor expansion of 1/2 in im 1.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.658 * [taylor]: Taking taylor expansion of im in im 1.658 * [taylor]: Taking taylor expansion of 0 in im 1.659 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.659 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.659 * [taylor]: Taking taylor expansion of re in im 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.659 * [taylor]: Taking taylor expansion of im in re 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.659 * [taylor]: Taking taylor expansion of re in re 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.659 * [taylor]: Taking taylor expansion of im in re 1.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.659 * [taylor]: Taking taylor expansion of re in re 1.660 * [taylor]: Taking taylor expansion of 1 in im 1.660 * [taylor]: Taking taylor expansion of 0 in im 1.660 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.660 * [taylor]: Taking taylor expansion of 1/2 in im 1.660 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.660 * [taylor]: Taking taylor expansion of im in im 1.660 * [taylor]: Taking taylor expansion of 0 in im 1.661 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.661 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 1.661 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.661 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.661 * [taylor]: Taking taylor expansion of re in im 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.661 * [taylor]: Taking taylor expansion of im in im 1.661 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.661 * [taylor]: Taking taylor expansion of re in re 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.661 * [taylor]: Taking taylor expansion of im in re 1.661 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.661 * [taylor]: Taking taylor expansion of re in re 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.661 * [taylor]: Taking taylor expansion of im in re 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.661 * [taylor]: Taking taylor expansion of im in im 1.661 * [taylor]: Taking taylor expansion of 0 in im 1.661 * [taylor]: Taking taylor expansion of 1 in im 1.661 * [taylor]: Taking taylor expansion of 0 in im 1.661 * [taylor]: Taking taylor expansion of 0 in im 1.662 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.662 * [taylor]: Taking taylor expansion of im in im 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.662 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.662 * [taylor]: Taking taylor expansion of re in im 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.662 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.662 * [taylor]: Taking taylor expansion of im in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.662 * [taylor]: Taking taylor expansion of re in re 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.662 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.662 * [taylor]: Taking taylor expansion of im in re 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.662 * [taylor]: Taking taylor expansion of re in re 1.662 * [taylor]: Taking taylor expansion of 1 in im 1.662 * [taylor]: Taking taylor expansion of 0 in im 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.663 * [taylor]: Taking taylor expansion of im in im 1.663 * [taylor]: Taking taylor expansion of 0 in im 1.663 * [taylor]: Taking taylor expansion of 0 in im 1.664 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.664 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.664 * [taylor]: Taking taylor expansion of im in im 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.664 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.664 * [taylor]: Taking taylor expansion of re in im 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.664 * [taylor]: Taking taylor expansion of im in re 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.664 * [taylor]: Taking taylor expansion of re in re 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.664 * [taylor]: Taking taylor expansion of im in re 1.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.664 * [taylor]: Taking taylor expansion of re in re 1.664 * [taylor]: Taking taylor expansion of 1 in im 1.664 * [taylor]: Taking taylor expansion of 0 in im 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.665 * [taylor]: Taking taylor expansion of im in im 1.665 * [taylor]: Taking taylor expansion of 0 in im 1.665 * [taylor]: Taking taylor expansion of 0 in im 1.666 * * * [progress]: simplifying candidates 1.666 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 1.671 * * [simplify]: iteration 0 : 225 enodes (cost 472 ) 1.674 * * [simplify]: iteration 1 : 761 enodes (cost 420 ) 1.685 * * [simplify]: iteration 2 : 2155 enodes (cost 403 ) 1.726 * * [simplify]: iteration 3 : 5002 enodes (cost 394 ) 1.729 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (pow im 2) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (pow im 2) (- (sqrt (+ (* re re) (* im im))) re) (+ re (sqrt (+ (* re re) (* im im)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 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))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (+ (* re re) (* im im)))) 2) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (- (pow im 4) (- (* (* re re) (* im im)) (pow re 4))) (+ (* (neg (pow im 3)) im) (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 1.730 * * * [progress]: adding candidates to table 1.824 * * [progress]: iteration 4 / 4 1.824 * * * [progress]: picking best candidate 1.850 * * * * [pick]: Picked # 1.851 * * * [progress]: localizing error 1.870 * * * [progress]: generating rewritten candidates 1.870 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.874 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.883 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.889 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.901 * * * [progress]: generating series expansions 1.901 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.901 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.901 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.901 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.901 * [taylor]: Taking taylor expansion of re in im 1.901 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.901 * [taylor]: Taking taylor expansion of im in im 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.901 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.901 * [taylor]: Taking taylor expansion of re in re 1.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.901 * [taylor]: Taking taylor expansion of im in re 1.902 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.902 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.902 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.902 * [taylor]: Taking taylor expansion of re in re 1.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.902 * [taylor]: Taking taylor expansion of im in re 1.902 * [taylor]: Taking taylor expansion of im in im 1.902 * [taylor]: Taking taylor expansion of 0 in im 1.902 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.902 * [taylor]: Taking taylor expansion of 1/2 in im 1.902 * [taylor]: Taking taylor expansion of im in im 1.902 * [taylor]: Taking taylor expansion of 0 in im 1.905 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.905 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.905 * [taylor]: Taking taylor expansion of im in im 1.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.905 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.905 * [taylor]: Taking taylor expansion of re in im 1.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.905 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.905 * [taylor]: Taking taylor expansion of im in re 1.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.905 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.905 * [taylor]: Taking taylor expansion of re in re 1.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.906 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.906 * [taylor]: Taking taylor expansion of im in re 1.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.906 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.906 * [taylor]: Taking taylor expansion of re in re 1.906 * [taylor]: Taking taylor expansion of 1 in im 1.906 * [taylor]: Taking taylor expansion of 0 in im 1.906 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.906 * [taylor]: Taking taylor expansion of 1/2 in im 1.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.906 * [taylor]: Taking taylor expansion of im in im 1.907 * [taylor]: Taking taylor expansion of 0 in im 1.907 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.907 * [taylor]: Taking taylor expansion of im in im 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.907 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.907 * [taylor]: Taking taylor expansion of re in im 1.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.907 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.907 * [taylor]: Taking taylor expansion of im in re 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.907 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.907 * [taylor]: Taking taylor expansion of re in re 1.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.908 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.908 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [taylor]: Taking taylor expansion of 1 in im 1.908 * [taylor]: Taking taylor expansion of 0 in im 1.908 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.908 * [taylor]: Taking taylor expansion of 1/2 in im 1.908 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.908 * [taylor]: Taking taylor expansion of im in im 1.909 * [taylor]: Taking taylor expansion of 0 in im 1.909 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.909 * [approximate]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 1.909 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.909 * [taylor]: Taking taylor expansion of re in im 1.909 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in im 1.909 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in im 1.909 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in im 1.909 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 1.909 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.909 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.909 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.909 * [taylor]: Taking taylor expansion of re in im 1.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.909 * [taylor]: Taking taylor expansion of im in im 1.909 * [taylor]: Taking taylor expansion of (log E) in im 1.909 * [taylor]: Taking taylor expansion of E in im 1.910 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re 1.910 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re 1.910 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re 1.910 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 1.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.910 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.910 * [taylor]: Taking taylor expansion of im in re 1.910 * [taylor]: Taking taylor expansion of (log E) in re 1.910 * [taylor]: Taking taylor expansion of E in re 1.910 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re 1.910 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re 1.910 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re 1.910 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 1.910 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.910 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.910 * [taylor]: Taking taylor expansion of im in re 1.910 * [taylor]: Taking taylor expansion of (log E) in re 1.910 * [taylor]: Taking taylor expansion of E in re 1.911 * [taylor]: Taking taylor expansion of im in im 1.911 * [taylor]: Taking taylor expansion of 1 in im 1.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.912 * [taylor]: Taking taylor expansion of 1/2 in im 1.912 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.912 * [taylor]: Taking taylor expansion of im in im 1.913 * [taylor]: Taking taylor expansion of 0 in im 1.913 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 1.913 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.913 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.913 * [taylor]: Taking taylor expansion of re in im 1.913 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.914 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im 1.914 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im 1.914 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.914 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.914 * [taylor]: Taking taylor expansion of im in im 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.914 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.914 * [taylor]: Taking taylor expansion of re in im 1.914 * [taylor]: Taking taylor expansion of (log E) in im 1.914 * [taylor]: Taking taylor expansion of E in im 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.914 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.914 * [taylor]: Taking taylor expansion of re in re 1.914 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.914 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.914 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.914 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.914 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.914 * [taylor]: Taking taylor expansion of im in re 1.914 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.914 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.914 * [taylor]: Taking taylor expansion of re in re 1.914 * [taylor]: Taking taylor expansion of (log E) in re 1.914 * [taylor]: Taking taylor expansion of E in re 1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.915 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.915 * [taylor]: Taking taylor expansion of re in re 1.915 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.915 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.915 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.915 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.915 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.915 * [taylor]: Taking taylor expansion of im in re 1.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.915 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.915 * [taylor]: Taking taylor expansion of re in re 1.915 * [taylor]: Taking taylor expansion of (log E) in re 1.915 * [taylor]: Taking taylor expansion of E in re 1.915 * [taylor]: Taking taylor expansion of 1 in im 1.915 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.915 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.915 * [taylor]: Taking taylor expansion of (log 1) in im 1.915 * [taylor]: Taking taylor expansion of 1 in im 1.915 * [taylor]: Taking taylor expansion of (log re) in im 1.915 * [taylor]: Taking taylor expansion of re in im 1.916 * [taylor]: Taking taylor expansion of 0 in im 1.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (- (log 1) (log re))) (pow im 2))) in im 1.918 * [taylor]: Taking taylor expansion of 1/2 in im 1.918 * [taylor]: Taking taylor expansion of (/ (exp (- (log 1) (log re))) (pow im 2)) in im 1.918 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.918 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.918 * [taylor]: Taking taylor expansion of (log 1) in im 1.918 * [taylor]: Taking taylor expansion of 1 in im 1.918 * [taylor]: Taking taylor expansion of (log re) in im 1.918 * [taylor]: Taking taylor expansion of re in im 1.918 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.918 * [taylor]: Taking taylor expansion of im in im 1.919 * [approximate]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in (re im) around 0 1.919 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in im 1.919 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.919 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im 1.919 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im 1.919 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.919 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.919 * [taylor]: Taking taylor expansion of im in im 1.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.919 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.919 * [taylor]: Taking taylor expansion of re in im 1.920 * [taylor]: Taking taylor expansion of (log E) in im 1.920 * [taylor]: Taking taylor expansion of E in im 1.920 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.920 * [taylor]: Taking taylor expansion of re in im 1.920 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re 1.920 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.920 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.920 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.920 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.920 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.920 * [taylor]: Taking taylor expansion of im in re 1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.920 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.920 * [taylor]: Taking taylor expansion of re in re 1.920 * [taylor]: Taking taylor expansion of (log E) in re 1.920 * [taylor]: Taking taylor expansion of E in re 1.920 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.920 * [taylor]: Taking taylor expansion of re in re 1.920 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re 1.920 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.920 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.920 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.920 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.920 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.920 * [taylor]: Taking taylor expansion of im in re 1.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [taylor]: Taking taylor expansion of (log E) in re 1.921 * [taylor]: Taking taylor expansion of E in re 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [taylor]: Taking taylor expansion of (neg 1) in im 1.921 * [taylor]: Taking taylor expansion of 1 in im 1.921 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.921 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.921 * [taylor]: Taking taylor expansion of (log 1) in im 1.921 * [taylor]: Taking taylor expansion of 1 in im 1.921 * [taylor]: Taking taylor expansion of (log re) in im 1.921 * [taylor]: Taking taylor expansion of re in im 1.922 * [taylor]: Taking taylor expansion of 0 in im 1.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (- (log 1) (log re))) (pow im 2))) in im 1.923 * [taylor]: Taking taylor expansion of 1/2 in im 1.923 * [taylor]: Taking taylor expansion of (/ (exp (- (log 1) (log re))) (pow im 2)) in im 1.923 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.923 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.923 * [taylor]: Taking taylor expansion of (log 1) in im 1.923 * [taylor]: Taking taylor expansion of 1 in im 1.923 * [taylor]: Taking taylor expansion of (log re) in im 1.923 * [taylor]: Taking taylor expansion of re in im 1.923 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.924 * [taylor]: Taking taylor expansion of im in im 1.925 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.925 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in (re im) around 0 1.925 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in im 1.925 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in im 1.925 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in im 1.925 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 1.925 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.925 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.925 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.925 * [taylor]: Taking taylor expansion of re in im 1.925 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.925 * [taylor]: Taking taylor expansion of im in im 1.925 * [taylor]: Taking taylor expansion of (log E) in im 1.925 * [taylor]: Taking taylor expansion of E in im 1.925 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re 1.925 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re 1.925 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re 1.925 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 1.925 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.925 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.925 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.925 * [taylor]: Taking taylor expansion of re in re 1.925 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.925 * [taylor]: Taking taylor expansion of im in re 1.926 * [taylor]: Taking taylor expansion of (log E) in re 1.926 * [taylor]: Taking taylor expansion of E in re 1.926 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re 1.926 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re 1.926 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re 1.926 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 1.926 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.926 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.926 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.926 * [taylor]: Taking taylor expansion of re in re 1.926 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.926 * [taylor]: Taking taylor expansion of im in re 1.926 * [taylor]: Taking taylor expansion of (log E) in re 1.926 * [taylor]: Taking taylor expansion of E in re 1.926 * [taylor]: Taking taylor expansion of im in im 1.927 * [taylor]: Taking taylor expansion of 0 in im 1.928 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.928 * [taylor]: Taking taylor expansion of 1/2 in im 1.928 * [taylor]: Taking taylor expansion of im in im 1.929 * [taylor]: Taking taylor expansion of 0 in im 1.929 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in (re im) around 0 1.929 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.929 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im 1.929 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im 1.929 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.929 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.929 * [taylor]: Taking taylor expansion of im in im 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.929 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.929 * [taylor]: Taking taylor expansion of re in im 1.929 * [taylor]: Taking taylor expansion of (log E) in im 1.929 * [taylor]: Taking taylor expansion of E in im 1.930 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.930 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.930 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.930 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.930 * [taylor]: Taking taylor expansion of im in re 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.930 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.930 * [taylor]: Taking taylor expansion of re in re 1.930 * [taylor]: Taking taylor expansion of (log E) in re 1.930 * [taylor]: Taking taylor expansion of E in re 1.930 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.930 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.930 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.930 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.930 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.930 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.930 * [taylor]: Taking taylor expansion of im in re 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.930 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.930 * [taylor]: Taking taylor expansion of re in re 1.930 * [taylor]: Taking taylor expansion of (log E) in re 1.930 * [taylor]: Taking taylor expansion of E in re 1.931 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.931 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.931 * [taylor]: Taking taylor expansion of (log 1) in im 1.931 * [taylor]: Taking taylor expansion of 1 in im 1.931 * [taylor]: Taking taylor expansion of (log re) in im 1.931 * [taylor]: Taking taylor expansion of re in im 1.931 * [taylor]: Taking taylor expansion of 0 in im 1.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (- (log 1) (log re))) (pow im 2))) in im 1.933 * [taylor]: Taking taylor expansion of 1/2 in im 1.933 * [taylor]: Taking taylor expansion of (/ (exp (- (log 1) (log re))) (pow im 2)) in im 1.933 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.933 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.933 * [taylor]: Taking taylor expansion of (log 1) in im 1.933 * [taylor]: Taking taylor expansion of 1 in im 1.933 * [taylor]: Taking taylor expansion of (log re) in im 1.933 * [taylor]: Taking taylor expansion of re in im 1.933 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.933 * [taylor]: Taking taylor expansion of im in im 1.936 * [taylor]: Taking taylor expansion of 0 in im 1.936 * [approximate]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in (re im) around 0 1.936 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.936 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im 1.936 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im 1.936 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.936 * [taylor]: Taking taylor expansion of im in im 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.936 * [taylor]: Taking taylor expansion of re in im 1.936 * [taylor]: Taking taylor expansion of (log E) in im 1.936 * [taylor]: Taking taylor expansion of E in im 1.936 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.936 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.936 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.936 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.937 * [taylor]: Taking taylor expansion of im in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.937 * [taylor]: Taking taylor expansion of (log E) in re 1.937 * [taylor]: Taking taylor expansion of E in re 1.937 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.937 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.937 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.937 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.937 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.937 * [taylor]: Taking taylor expansion of im in re 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.937 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.937 * [taylor]: Taking taylor expansion of re in re 1.938 * [taylor]: Taking taylor expansion of (log E) in re 1.938 * [taylor]: Taking taylor expansion of E in re 1.938 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.938 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.938 * [taylor]: Taking taylor expansion of (log 1) in im 1.938 * [taylor]: Taking taylor expansion of 1 in im 1.938 * [taylor]: Taking taylor expansion of (log re) in im 1.938 * [taylor]: Taking taylor expansion of re in im 1.938 * [taylor]: Taking taylor expansion of 0 in im 1.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ (exp (- (log 1) (log re))) (pow im 2))) in im 1.940 * [taylor]: Taking taylor expansion of 1/2 in im 1.940 * [taylor]: Taking taylor expansion of (/ (exp (- (log 1) (log re))) (pow im 2)) in im 1.940 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.940 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.940 * [taylor]: Taking taylor expansion of (log 1) in im 1.940 * [taylor]: Taking taylor expansion of 1 in im 1.940 * [taylor]: Taking taylor expansion of (log re) in im 1.940 * [taylor]: Taking taylor expansion of re in im 1.940 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.940 * [taylor]: Taking taylor expansion of im in im 1.943 * [taylor]: Taking taylor expansion of 0 in im 1.943 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.943 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))))) in (re im) around 0 1.943 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))))) in im 1.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.943 * [taylor]: Taking taylor expansion of 2.0 in im 1.943 * [taylor]: Taking taylor expansion of (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.943 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.943 * [taylor]: Taking taylor expansion of re in im 1.943 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in im 1.943 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in im 1.943 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in im 1.943 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in im 1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.943 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.943 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.943 * [taylor]: Taking taylor expansion of re in im 1.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.944 * [taylor]: Taking taylor expansion of im in im 1.944 * [taylor]: Taking taylor expansion of (log E) in im 1.944 * [taylor]: Taking taylor expansion of E in im 1.944 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))))) in re 1.944 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.944 * [taylor]: Taking taylor expansion of 2.0 in re 1.944 * [taylor]: Taking taylor expansion of (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.944 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.944 * [taylor]: Taking taylor expansion of re in re 1.944 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re 1.944 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re 1.944 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re 1.944 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 1.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.944 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.944 * [taylor]: Taking taylor expansion of re in re 1.945 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.945 * [taylor]: Taking taylor expansion of im in re 1.945 * [taylor]: Taking taylor expansion of (log E) in re 1.945 * [taylor]: Taking taylor expansion of E in re 1.945 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))))) in re 1.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.945 * [taylor]: Taking taylor expansion of 2.0 in re 1.945 * [taylor]: Taking taylor expansion of (sqrt (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.945 * [taylor]: Taking taylor expansion of (+ re (pow E (log (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.945 * [taylor]: Taking taylor expansion of re in re 1.945 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (pow re 2) (pow im 2))))) in re 1.945 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E))) in re 1.945 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (pow re 2) (pow im 2)))) (log E)) in re 1.945 * [taylor]: Taking taylor expansion of (log (sqrt (+ (pow re 2) (pow im 2)))) in re 1.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.945 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.945 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.945 * [taylor]: Taking taylor expansion of re in re 1.945 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.945 * [taylor]: Taking taylor expansion of im in re 1.946 * [taylor]: Taking taylor expansion of (log E) in re 1.946 * [taylor]: Taking taylor expansion of E in re 1.946 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.946 * [taylor]: Taking taylor expansion of 2.0 in im 1.946 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.946 * [taylor]: Taking taylor expansion of im in im 1.946 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.947 * [taylor]: Taking taylor expansion of 1/2 in im 1.947 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.947 * [taylor]: Taking taylor expansion of 2.0 in im 1.947 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.947 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.947 * [taylor]: Taking taylor expansion of im in im 1.948 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.948 * [taylor]: Taking taylor expansion of 1/8 in im 1.948 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.948 * [taylor]: Taking taylor expansion of 2.0 in im 1.948 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.948 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.948 * [taylor]: Taking taylor expansion of im in im 1.949 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in (re im) around 0 1.949 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in im 1.949 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.949 * [taylor]: Taking taylor expansion of 2.0 in im 1.949 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.949 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.949 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.949 * [taylor]: Taking taylor expansion of re in im 1.950 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.950 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im 1.950 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im 1.950 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.950 * [taylor]: Taking taylor expansion of im in im 1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.950 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.950 * [taylor]: Taking taylor expansion of re in im 1.950 * [taylor]: Taking taylor expansion of (log E) in im 1.950 * [taylor]: Taking taylor expansion of E in im 1.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in re 1.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.951 * [taylor]: Taking taylor expansion of 2.0 in re 1.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.951 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.951 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.951 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.951 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.951 * [taylor]: Taking taylor expansion of im in re 1.951 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.951 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [taylor]: Taking taylor expansion of (log E) in re 1.951 * [taylor]: Taking taylor expansion of E in re 1.951 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in re 1.951 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.951 * [taylor]: Taking taylor expansion of 2.0 in re 1.951 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.951 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.952 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.952 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.952 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.952 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.952 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.952 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.952 * [taylor]: Taking taylor expansion of im in re 1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.952 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.952 * [taylor]: Taking taylor expansion of re in re 1.952 * [taylor]: Taking taylor expansion of (log E) in re 1.952 * [taylor]: Taking taylor expansion of E in re 1.952 * [taylor]: Taking taylor expansion of 0 in im 1.952 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.952 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.952 * [taylor]: Taking taylor expansion of 2.0 in im 1.952 * [taylor]: Taking taylor expansion of NAN in im 1.953 * [taylor]: Taking taylor expansion of (- (* (exp (- (log 1) (log re))) (* (sqrt 2.0) NAN)) (* (sqrt 2.0) (pow NAN 3))) in im 1.953 * [taylor]: Taking taylor expansion of (* (exp (- (log 1) (log re))) (* (sqrt 2.0) NAN)) in im 1.953 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.953 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.953 * [taylor]: Taking taylor expansion of (log 1) in im 1.953 * [taylor]: Taking taylor expansion of 1 in im 1.953 * [taylor]: Taking taylor expansion of (log re) in im 1.953 * [taylor]: Taking taylor expansion of re in im 1.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.953 * [taylor]: Taking taylor expansion of 2.0 in im 1.953 * [taylor]: Taking taylor expansion of NAN in im 1.953 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 1.953 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.953 * [taylor]: Taking taylor expansion of 2.0 in im 1.953 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.953 * [taylor]: Taking taylor expansion of NAN in im 1.955 * [taylor]: Taking taylor expansion of (- (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 2 (* (exp (- (log 1) (log re))) (* (pow NAN 3) (sqrt 2.0))))) in im 1.955 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in im 1.955 * [taylor]: Taking taylor expansion of 2 in im 1.955 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 1.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.955 * [taylor]: Taking taylor expansion of 2.0 in im 1.955 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 1.955 * [taylor]: Taking taylor expansion of NAN in im 1.955 * [taylor]: Taking taylor expansion of (* 2 (* (exp (- (log 1) (log re))) (* (pow NAN 3) (sqrt 2.0)))) in im 1.955 * [taylor]: Taking taylor expansion of 2 in im 1.955 * [taylor]: Taking taylor expansion of (* (exp (- (log 1) (log re))) (* (pow NAN 3) (sqrt 2.0))) in im 1.955 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.955 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.955 * [taylor]: Taking taylor expansion of (log 1) in im 1.955 * [taylor]: Taking taylor expansion of 1 in im 1.955 * [taylor]: Taking taylor expansion of (log re) in im 1.955 * [taylor]: Taking taylor expansion of re in im 1.955 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (sqrt 2.0)) in im 1.955 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.955 * [taylor]: Taking taylor expansion of NAN in im 1.955 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.955 * [taylor]: Taking taylor expansion of 2.0 in im 1.957 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)))) in (re im) around 0 1.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)))) in im 1.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.957 * [taylor]: Taking taylor expansion of 2.0 in im 1.957 * [taylor]: Taking taylor expansion of (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))) in im 1.957 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in im 1.957 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.957 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in im 1.958 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in im 1.958 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.958 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.958 * [taylor]: Taking taylor expansion of im in im 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.958 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.958 * [taylor]: Taking taylor expansion of re in im 1.958 * [taylor]: Taking taylor expansion of (log E) in im 1.958 * [taylor]: Taking taylor expansion of E in im 1.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.958 * [taylor]: Taking taylor expansion of re in im 1.959 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)))) in re 1.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.959 * [taylor]: Taking taylor expansion of 2.0 in re 1.959 * [taylor]: Taking taylor expansion of (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))) in re 1.959 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re 1.959 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.959 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.959 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.959 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.959 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.959 * [taylor]: Taking taylor expansion of im in re 1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.959 * [taylor]: Taking taylor expansion of re in re 1.959 * [taylor]: Taking taylor expansion of (log E) in re 1.959 * [taylor]: Taking taylor expansion of E in re 1.959 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.959 * [taylor]: Taking taylor expansion of re in re 1.959 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)))) in re 1.959 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.959 * [taylor]: Taking taylor expansion of 2.0 in re 1.959 * [taylor]: Taking taylor expansion of (sqrt (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re))) in re 1.960 * [taylor]: Taking taylor expansion of (- (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) (/ 1 re)) in re 1.960 * [taylor]: Taking taylor expansion of (pow E (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.960 * [taylor]: Taking taylor expansion of (exp (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E))) in re 1.960 * [taylor]: Taking taylor expansion of (* (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (log E)) in re 1.960 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.960 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.960 * [taylor]: Taking taylor expansion of im in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.960 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [taylor]: Taking taylor expansion of (log E) in re 1.960 * [taylor]: Taking taylor expansion of E in re 1.960 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.960 * [taylor]: Taking taylor expansion of re in re 1.960 * [taylor]: Taking taylor expansion of 0 in im 1.960 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.960 * [taylor]: Taking taylor expansion of 2.0 in im 1.960 * [taylor]: Taking taylor expansion of NAN in im 1.961 * [taylor]: Taking taylor expansion of (- (* (exp (- (log 1) (log re))) (* (sqrt 2.0) NAN)) (* (sqrt 2.0) (pow NAN 3))) in im 1.961 * [taylor]: Taking taylor expansion of (* (exp (- (log 1) (log re))) (* (sqrt 2.0) NAN)) in im 1.961 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.961 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.961 * [taylor]: Taking taylor expansion of (log 1) in im 1.961 * [taylor]: Taking taylor expansion of 1 in im 1.961 * [taylor]: Taking taylor expansion of (log re) in im 1.961 * [taylor]: Taking taylor expansion of re in im 1.961 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) NAN) in im 1.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.961 * [taylor]: Taking taylor expansion of 2.0 in im 1.961 * [taylor]: Taking taylor expansion of NAN in im 1.961 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 3)) in im 1.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.961 * [taylor]: Taking taylor expansion of 2.0 in im 1.961 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.961 * [taylor]: Taking taylor expansion of NAN in im 1.963 * [taylor]: Taking taylor expansion of (- (* 2 (* (sqrt 2.0) (pow NAN 5))) (* 2 (* (exp (- (log 1) (log re))) (* (pow NAN 3) (sqrt 2.0))))) in im 1.963 * [taylor]: Taking taylor expansion of (* 2 (* (sqrt 2.0) (pow NAN 5))) in im 1.963 * [taylor]: Taking taylor expansion of 2 in im 1.963 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow NAN 5)) in im 1.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.963 * [taylor]: Taking taylor expansion of 2.0 in im 1.963 * [taylor]: Taking taylor expansion of (pow NAN 5) in im 1.963 * [taylor]: Taking taylor expansion of NAN in im 1.963 * [taylor]: Taking taylor expansion of (* 2 (* (exp (- (log 1) (log re))) (* (pow NAN 3) (sqrt 2.0)))) in im 1.963 * [taylor]: Taking taylor expansion of 2 in im 1.963 * [taylor]: Taking taylor expansion of (* (exp (- (log 1) (log re))) (* (pow NAN 3) (sqrt 2.0))) in im 1.963 * [taylor]: Taking taylor expansion of (exp (- (log 1) (log re))) in im 1.963 * [taylor]: Taking taylor expansion of (- (log 1) (log re)) in im 1.963 * [taylor]: Taking taylor expansion of (log 1) in im 1.963 * [taylor]: Taking taylor expansion of 1 in im 1.963 * [taylor]: Taking taylor expansion of (log re) in im 1.963 * [taylor]: Taking taylor expansion of re in im 1.963 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (sqrt 2.0)) in im 1.963 * [taylor]: Taking taylor expansion of (pow NAN 3) in im 1.963 * [taylor]: Taking taylor expansion of NAN in im 1.963 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.963 * [taylor]: Taking taylor expansion of 2.0 in im 1.965 * * * [progress]: simplifying candidates 1.966 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (pow E (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re) (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (pow E (log (sqrt (+ (* re re) (* im im))))) re))) (- (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (pow E (log (sqrt (+ (* re re) (* im im))))) re) (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re) (* 1 (log (sqrt (+ (* re re) (* im im))))) (* (log E) (log (sqrt (+ (* re re) (* im im))))) (* (log E) (log (sqrt (+ (* re re) (* im im))))) (* 1 (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (pow E (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (pow E (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (pow E (log (sqrt (- (* re re) (* im im))))) (pow E 1/2) (pow E 1) (pow E (/ 1 2)) (pow E (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow E (sqrt (log (sqrt (+ (* re re) (* im im)))))) (pow E 1) (pow E (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (pow E (log (cbrt (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (pow E (log (sqrt (cbrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt 1))) (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (sqrt (+ (* re re) (* im im)))))) (pow E (log 1)) (pow E (log (sqrt (+ (* re re) (* im im))))) (pow (* (cbrt E) (cbrt E)) (log (sqrt (+ (* re re) (* im im))))) (pow (cbrt E) (log (sqrt (+ (* re re) (* im im))))) (pow (sqrt E) (log (sqrt (+ (* re re) (* im im))))) (pow (sqrt E) (log (sqrt (+ (* re re) (* im im))))) (pow 1 (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im))))) (log (pow E (log (sqrt (+ (* re re) (* im im)))))) (exp (pow E (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (* (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (sqrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (sqrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (pow E (/ (log (sqrt (+ (* re re) (* im im)))) 2)) (pow E (/ (log (sqrt (+ (* re re) (* im im)))) 2)) (log (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (* (* (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))) (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt 2.0) (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (* 2.0 (+ (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (sqrt (+ (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (- (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) (sqrt (- (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) im re (* -1 re) (+ re im) (+ re (exp (- (log 1) (log (/ 1 re))))) (+ re (exp (- (log 1) (log (/ -1 re))))) im (exp (- (log 1) (log (/ 1 re)))) (exp (- (log 1) (log (/ -1 re)))) (+ (* 1/2 (* (sqrt 2.0) (* NAN re))) (+ (* (sqrt 2.0) (* NAN im)) (* 1/8 (* (sqrt 2.0) (* (pow NAN 3) (pow re 2)))))) (- (+ (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2))) (+ (/ (* (sqrt 2.0) (* NAN (exp (- (log 1) (log (/ 1 re)))))) re) (* (sqrt 2.0) NAN))) (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (* 2 (/ (* (sqrt 2.0) (* (pow NAN 3) (exp (- (log 1) (log (/ 1 re)))))) (pow re 2))))) (- (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (+ (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2))) (* (sqrt 2.0) NAN))) (+ (* 2 (/ (* (sqrt 2.0) (* (pow NAN 3) (exp (- (log 1) (log (/ -1 re)))))) (pow re 2))) (/ (* (sqrt 2.0) (* NAN (exp (- (log 1) (log (/ -1 re)))))) re))) 1.972 * * [simplify]: iteration 0 : 450 enodes (cost 777 ) 1.979 * * [simplify]: iteration 1 : 1437 enodes (cost 748 ) 2.003 * * [simplify]: iteration 2 : 5001 enodes (cost 720 ) 2.007 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (log (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (pow (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re) 3) (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* re (- re (pow E (log (sqrt (+ (* re re) (* im im))))))) (pow E (* 2 (log (sqrt (+ (* re re) (* im im))))))) (- (pow E (* 2 (log (sqrt (+ (* re re) (* im im)))))) (pow re 2)) (- (pow E (log (sqrt (+ (* re re) (* im im))))) re) (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (pow E (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (pow E (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (pow E (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (pow E (log (sqrt (- (* re re) (* im im))))) (pow E 1/2) E (pow E 1/2) (pow E (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (pow E (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (pow E (* 2 (* 1 (/ (log (cbrt (sqrt (+ (* re re) (* im im))))) 1)))) (pow E (log (cbrt (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (pow E (log (sqrt (cbrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (sqrt (+ (* re re) (* im im)))))) 1 (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (sqrt (+ (* re re) (* im im)))))) (pow E (log (sqrt (sqrt (+ (* re re) (* im im)))))) 1 (pow E (log (sqrt (+ (* re re) (* im im))))) (pow (* (cbrt E) (cbrt E)) (log (sqrt (+ (* re re) (* im im))))) (pow (cbrt E) (log (sqrt (+ (* re re) (* im im))))) (pow (sqrt E) (log (sqrt (+ (* re re) (* im im))))) (pow (sqrt E) (log (sqrt (+ (* re re) (* im im))))) 1 (pow E (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im)))) (exp (pow E (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im))))))) (cbrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (sqrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (sqrt (pow E (log (sqrt (+ (* re re) (* im im)))))) (pow E (/ (log (sqrt (+ (* re re) (* im im)))) 2)) (pow E (/ (log (sqrt (+ (* re re) (* im im)))) 2)) (log (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (pow (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re))) 3) (sqrt 2.0) (sqrt (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (* 2.0 (+ (pow (pow E (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (sqrt (+ (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (* 2.0 (- (* (pow E (log (sqrt (+ (* re re) (* im im))))) (pow E (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) (sqrt (- (pow E (log (sqrt (+ (* re re) (* im im))))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (sqrt (* 2.0 (+ (pow E (log (sqrt (+ (* re re) (* im im))))) re)))) im re (* -1 re) (+ re im) (+ re (exp (- (log 1) (log (/ 1 re))))) (+ re (exp (- (log 1) (log (/ -1 re))))) im re (/ 1 (/ -1 re)) (+ (* (sqrt 2.0) (+ (* (* (pow NAN 3) (pow re 2)) 1/8) (* (* NAN re) 1/2))) (* (sqrt 2.0) (* NAN im))) (+ (/ (/ (* NAN 1) (/ 1 re)) (/ re (sqrt 2.0))) (+ (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2))) (+ (+ (* (sqrt 2.0) NAN) (* -2 (/ (/ (* (pow NAN 3) 1) (/ 1 re)) (/ (pow re 2) (sqrt 2.0))))) (neg (/ (* (sqrt 2.0) (pow NAN 3)) re))))) (+ (+ (/ (* (sqrt 2.0) (pow NAN 3)) re) (+ (* 2 (/ (* (sqrt 2.0) (pow NAN 5)) (pow re 2))) (* (sqrt 2.0) NAN))) (- (* -2 (/ (/ (* (pow NAN 3) 1) (/ -1 re)) (/ (pow re 2) (sqrt 2.0)))) (/ (/ (* NAN 1) (/ -1 re)) (/ re (sqrt 2.0))))) 2.008 * * * [progress]: adding candidates to table 2.117 * [progress]: [Phase 3 of 3] Extracting. 2.117 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.119 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) im re) 2.119 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # #) 2.201 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.263 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # #) 2.337 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # # #) 2.413 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # # #) 2.493 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # #) 2.579 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # #) 2.672 * * * [regime]: Found split indices: #