61.748 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.045 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.047 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.048 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.049 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.049 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.087 * * * [progress]: generating series expansions 0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.088 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.088 * [taylor]: Taking taylor expansion of re in im 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.088 * [taylor]: Taking taylor expansion of im in im 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.088 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.088 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.088 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.088 * [taylor]: Taking taylor expansion of re in re 0.088 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.088 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.089 * [taylor]: Taking taylor expansion of 1/2 in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.089 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.090 * [taylor]: Taking taylor expansion of im in im 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.090 * [taylor]: Taking taylor expansion of re in im 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.090 * [taylor]: Taking taylor expansion of im in re 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.090 * [taylor]: Taking taylor expansion of re in re 0.090 * [taylor]: Taking taylor expansion of 1 in im 0.090 * [taylor]: Taking taylor expansion of 0 in im 0.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.091 * [taylor]: Taking taylor expansion of 1/2 in im 0.091 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.091 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.092 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.092 * [taylor]: Taking taylor expansion of im in im 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.092 * [taylor]: Taking taylor expansion of re in im 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.092 * [taylor]: Taking taylor expansion of re in re 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.092 * [taylor]: Taking taylor expansion of im in re 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.092 * [taylor]: Taking taylor expansion of re in re 0.092 * [taylor]: Taking taylor expansion of 1 in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.093 * [taylor]: Taking taylor expansion of 1/2 in im 0.093 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.093 * [taylor]: Taking taylor expansion of im in im 0.093 * [taylor]: Taking taylor expansion of 0 in im 0.093 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.094 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.094 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.094 * [taylor]: Taking taylor expansion of re in im 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.094 * [taylor]: Taking taylor expansion of re in im 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.094 * [taylor]: Taking taylor expansion of im in im 0.094 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.094 * [taylor]: Taking taylor expansion of im in re 0.094 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.094 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.094 * [taylor]: Taking taylor expansion of re in re 0.094 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.095 * [taylor]: Taking taylor expansion of im in re 0.095 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of 1 in im 0.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.095 * [taylor]: Taking taylor expansion of 1/2 in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.096 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.096 * [taylor]: Taking taylor expansion of re in im 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.096 * [taylor]: Taking taylor expansion of im in im 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.096 * [taylor]: Taking taylor expansion of re in im 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.096 * [taylor]: Taking taylor expansion of im in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.096 * [taylor]: Taking taylor expansion of re in re 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.096 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.097 * [taylor]: Taking taylor expansion of im in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.097 * [taylor]: Taking taylor expansion of re in re 0.097 * [taylor]: Taking taylor expansion of 2 in im 0.097 * [taylor]: Taking taylor expansion of 0 in im 0.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.097 * [taylor]: Taking taylor expansion of 1/2 in im 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.097 * [taylor]: Taking taylor expansion of im in im 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.098 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.098 * [taylor]: Taking taylor expansion of im in im 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.098 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.098 * [taylor]: Taking taylor expansion of re in im 0.098 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.098 * [taylor]: Taking taylor expansion of re in im 0.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.099 * [taylor]: Taking taylor expansion of im in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.099 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.099 * [taylor]: Taking taylor expansion of re in re 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.099 * [taylor]: Taking taylor expansion of 0 in im 0.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.100 * [taylor]: Taking taylor expansion of 1/2 in im 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.100 * [taylor]: Taking taylor expansion of im in im 0.100 * [taylor]: Taking taylor expansion of 0 in im 0.100 * * * [progress]: simplifying candidates 0.101 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) (+ re im) (* 2 re) 0 0.104 * * [simplify]: iteration 0 : 155 enodes (cost 205 ) 0.108 * * [simplify]: iteration 1 : 421 enodes (cost 183 ) 0.115 * * [simplify]: iteration 2 : 1067 enodes (cost 180 ) 0.134 * * [simplify]: iteration 3 : 3190 enodes (cost 179 ) 0.186 * * [simplify]: iteration 4 : 5001 enodes (cost 178 ) 0.187 * [simplify]: Simplified to: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (hypot re 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) (hypot re im) (hypot (pow im 3) (pow re 3)) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) 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 (+ re (hypot re im)) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (fma (pow re 2) re (pow (hypot re im) 3)) (fma re (- re (hypot re im)) (fma re re (* im im))) (* im im) (fma -1 re (hypot re im)) (+ re (hypot re im)) im re (* -1 re) (+ re im) (* 2 re) 0 0.187 * * * [progress]: adding candidates to table 0.515 * * [progress]: iteration 2 / 4 0.515 * * * [progress]: picking best candidate 0.548 * * * * [pick]: Picked # 0.548 * * * [progress]: localizing error 0.558 * * * [progress]: generating rewritten candidates 0.558 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2) 0.562 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2 1 2) 0.562 * * * [progress]: generating series expansions 0.562 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2) 0.562 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.563 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.563 * [taylor]: Taking taylor expansion of re in im 0.563 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.563 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.563 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.563 * [taylor]: Taking taylor expansion of (* re re) in im 0.563 * [taylor]: Taking taylor expansion of re in im 0.563 * [taylor]: Taking taylor expansion of re in im 0.563 * [taylor]: Taking taylor expansion of (* im im) in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [taylor]: Taking taylor expansion of im in im 0.563 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.563 * [taylor]: Taking taylor expansion of re in re 0.563 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.563 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.563 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.563 * [taylor]: Taking taylor expansion of (* re re) in re 0.563 * [taylor]: Taking taylor expansion of re in re 0.563 * [taylor]: Taking taylor expansion of re in re 0.563 * [taylor]: Taking taylor expansion of (* im im) in re 0.563 * [taylor]: Taking taylor expansion of im in re 0.563 * [taylor]: Taking taylor expansion of im in re 0.564 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.564 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.564 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.564 * [taylor]: Taking taylor expansion of (* re re) in re 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [taylor]: Taking taylor expansion of (* im im) in re 0.564 * [taylor]: Taking taylor expansion of im in re 0.564 * [taylor]: Taking taylor expansion of im in re 0.564 * [taylor]: Taking taylor expansion of im in im 0.564 * [taylor]: Taking taylor expansion of 1 in im 0.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.565 * [taylor]: Taking taylor expansion of 1/2 in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of 0 in im 0.565 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.565 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.565 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.565 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.565 * [taylor]: Taking taylor expansion of re in im 0.565 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.565 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.565 * [taylor]: Taking taylor expansion of im in im 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.566 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.566 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.566 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.566 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.566 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.566 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.566 * [taylor]: Taking taylor expansion of re in re 0.566 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.566 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.566 * [taylor]: Taking taylor expansion of im in re 0.567 * [taylor]: Taking taylor expansion of 2 in im 0.567 * [taylor]: Taking taylor expansion of 0 in im 0.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.567 * [taylor]: Taking taylor expansion of 1/2 in im 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.567 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.568 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.568 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.568 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.568 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.568 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.568 * [taylor]: Taking taylor expansion of -1 in im 0.568 * [taylor]: Taking taylor expansion of re in im 0.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.568 * [taylor]: Taking taylor expansion of -1 in im 0.568 * [taylor]: Taking taylor expansion of re in im 0.568 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.568 * [taylor]: Taking taylor expansion of -1 in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.568 * [taylor]: Taking taylor expansion of -1 in im 0.568 * [taylor]: Taking taylor expansion of im in im 0.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.568 * [taylor]: Taking taylor expansion of re in im 0.568 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.568 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.568 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.569 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.569 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.569 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.569 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.569 * [taylor]: Taking taylor expansion of re in re 0.570 * [taylor]: Taking taylor expansion of 0 in im 0.570 * [taylor]: Taking taylor expansion of 0 in im 0.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.570 * [taylor]: Taking taylor expansion of 1/2 in im 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.570 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.570 * [taylor]: Taking taylor expansion of im in im 0.571 * [taylor]: Taking taylor expansion of 0 in im 0.571 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2 1 2) 0.571 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.571 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.571 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.571 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.571 * [taylor]: Taking taylor expansion of (* re re) in im 0.571 * [taylor]: Taking taylor expansion of re in im 0.571 * [taylor]: Taking taylor expansion of re in im 0.571 * [taylor]: Taking taylor expansion of (* im im) in im 0.571 * [taylor]: Taking taylor expansion of im in im 0.571 * [taylor]: Taking taylor expansion of im in im 0.571 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.571 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.571 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.571 * [taylor]: Taking taylor expansion of (* re re) in re 0.571 * [taylor]: Taking taylor expansion of re in re 0.571 * [taylor]: Taking taylor expansion of re in re 0.571 * [taylor]: Taking taylor expansion of (* im im) in re 0.571 * [taylor]: Taking taylor expansion of im in re 0.571 * [taylor]: Taking taylor expansion of im in re 0.572 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.572 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.572 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.572 * [taylor]: Taking taylor expansion of (* re re) in re 0.572 * [taylor]: Taking taylor expansion of re in re 0.572 * [taylor]: Taking taylor expansion of re in re 0.572 * [taylor]: Taking taylor expansion of (* im im) in re 0.572 * [taylor]: Taking taylor expansion of im in re 0.572 * [taylor]: Taking taylor expansion of im in re 0.572 * [taylor]: Taking taylor expansion of im in im 0.572 * [taylor]: Taking taylor expansion of 0 in im 0.572 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.572 * [taylor]: Taking taylor expansion of 1/2 in im 0.572 * [taylor]: Taking taylor expansion of im in im 0.573 * [taylor]: Taking taylor expansion of 0 in im 0.573 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.573 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.573 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.573 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.573 * [taylor]: Taking taylor expansion of re in im 0.573 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.573 * [taylor]: Taking taylor expansion of re in im 0.573 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.573 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.573 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.573 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.573 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.573 * [taylor]: Taking taylor expansion of re in re 0.573 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.573 * [taylor]: Taking taylor expansion of re in re 0.573 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.573 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.573 * [taylor]: Taking taylor expansion of im in re 0.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.574 * [taylor]: Taking taylor expansion of im in re 0.574 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.574 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.574 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.574 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.574 * [taylor]: Taking taylor expansion of re in re 0.574 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.574 * [taylor]: Taking taylor expansion of re in re 0.574 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.574 * [taylor]: Taking taylor expansion of im in re 0.574 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.574 * [taylor]: Taking taylor expansion of im in re 0.574 * [taylor]: Taking taylor expansion of 1 in im 0.574 * [taylor]: Taking taylor expansion of 0 in im 0.574 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.574 * [taylor]: Taking taylor expansion of 1/2 in im 0.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.574 * [taylor]: Taking taylor expansion of im in im 0.575 * [taylor]: Taking taylor expansion of 0 in im 0.575 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.575 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.575 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.575 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.575 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.575 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.575 * [taylor]: Taking taylor expansion of -1 in im 0.575 * [taylor]: Taking taylor expansion of re in im 0.575 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.575 * [taylor]: Taking taylor expansion of -1 in im 0.575 * [taylor]: Taking taylor expansion of re in im 0.575 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.575 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.575 * [taylor]: Taking taylor expansion of -1 in im 0.575 * [taylor]: Taking taylor expansion of im in im 0.575 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.576 * [taylor]: Taking taylor expansion of -1 in im 0.576 * [taylor]: Taking taylor expansion of im in im 0.576 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.576 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.576 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.576 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [taylor]: Taking taylor expansion of im in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [taylor]: Taking taylor expansion of im in re 0.576 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.576 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.576 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.576 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [taylor]: Taking taylor expansion of im in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [taylor]: Taking taylor expansion of im in re 0.577 * [taylor]: Taking taylor expansion of 1 in im 0.577 * [taylor]: Taking taylor expansion of 0 in im 0.577 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.577 * [taylor]: Taking taylor expansion of 1/2 in im 0.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.577 * [taylor]: Taking taylor expansion of im in im 0.577 * [taylor]: Taking taylor expansion of 0 in im 0.578 * * * [progress]: simplifying candidates 0.578 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) 0.581 * * [simplify]: iteration 0 : 111 enodes (cost 124 ) 0.584 * * [simplify]: iteration 1 : 285 enodes (cost 109 ) 0.590 * * [simplify]: iteration 2 : 788 enodes (cost 106 ) 0.605 * * [simplify]: iteration 3 : 3168 enodes (cost 104 ) 0.672 * * [simplify]: iteration 4 : 5001 enodes (cost 103 ) 0.673 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (- (hypot re im) (* re (sqrt 1))) (* re re)) (fma (hypot re im) (hypot re im) (- (* re re))) (- (* (sqrt 1) (hypot re im)) re) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) 0.673 * * * [progress]: adding candidates to table 0.895 * * [progress]: iteration 3 / 4 0.895 * * * [progress]: picking best candidate 0.947 * * * * [pick]: Picked # 0.947 * * * [progress]: localizing error 0.963 * * * [progress]: generating rewritten candidates 0.963 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.967 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.970 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.974 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.979 * * * [progress]: generating series expansions 0.979 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.979 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.979 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.979 * [taylor]: Taking taylor expansion of re in im 0.979 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.979 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.979 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.979 * [taylor]: Taking taylor expansion of (* re re) in im 0.979 * [taylor]: Taking taylor expansion of re in im 0.979 * [taylor]: Taking taylor expansion of re in im 0.979 * [taylor]: Taking taylor expansion of (* im im) in im 0.979 * [taylor]: Taking taylor expansion of im in im 0.979 * [taylor]: Taking taylor expansion of im in im 0.979 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.979 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.979 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.979 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.979 * [taylor]: Taking taylor expansion of (* re re) in re 0.979 * [taylor]: Taking taylor expansion of re in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.980 * [taylor]: Taking taylor expansion of (* im im) in re 0.980 * [taylor]: Taking taylor expansion of im in re 0.980 * [taylor]: Taking taylor expansion of im in re 0.980 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.980 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.980 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.980 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.980 * [taylor]: Taking taylor expansion of (* re re) in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.980 * [taylor]: Taking taylor expansion of (* im im) in re 0.980 * [taylor]: Taking taylor expansion of im in re 0.980 * [taylor]: Taking taylor expansion of im in re 0.980 * [taylor]: Taking taylor expansion of im in im 0.980 * [taylor]: Taking taylor expansion of 1 in im 0.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.981 * [taylor]: Taking taylor expansion of 1/2 in im 0.981 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.981 * [taylor]: Taking taylor expansion of im in im 0.981 * [taylor]: Taking taylor expansion of 0 in im 0.981 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.981 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.981 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.981 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.981 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.981 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.981 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.981 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.982 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.982 * [taylor]: Taking taylor expansion of re in im 0.982 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.982 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.982 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.982 * [taylor]: Taking taylor expansion of im in im 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.982 * [taylor]: Taking taylor expansion of re in re 0.982 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.982 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.982 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.982 * [taylor]: Taking taylor expansion of re in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.982 * [taylor]: Taking taylor expansion of re in re 0.982 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.982 * [taylor]: Taking taylor expansion of im in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.982 * [taylor]: Taking taylor expansion of im in re 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.982 * [taylor]: Taking taylor expansion of re in re 0.982 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.982 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.982 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.982 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.983 * [taylor]: Taking taylor expansion of re in re 0.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.983 * [taylor]: Taking taylor expansion of re in re 0.983 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.983 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.983 * [taylor]: Taking taylor expansion of im in re 0.983 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.983 * [taylor]: Taking taylor expansion of im in re 0.983 * [taylor]: Taking taylor expansion of 2 in im 0.983 * [taylor]: Taking taylor expansion of 0 in im 0.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.983 * [taylor]: Taking taylor expansion of 1/2 in im 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.983 * [taylor]: Taking taylor expansion of im in im 0.984 * [taylor]: Taking taylor expansion of 0 in im 0.984 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.984 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.984 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.984 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.984 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.984 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.984 * [taylor]: Taking taylor expansion of -1 in im 0.984 * [taylor]: Taking taylor expansion of re in im 0.984 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.984 * [taylor]: Taking taylor expansion of -1 in im 0.984 * [taylor]: Taking taylor expansion of re in im 0.985 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.985 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.985 * [taylor]: Taking taylor expansion of -1 in im 0.985 * [taylor]: Taking taylor expansion of im in im 0.985 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.985 * [taylor]: Taking taylor expansion of -1 in im 0.985 * [taylor]: Taking taylor expansion of im in im 0.985 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.985 * [taylor]: Taking taylor expansion of re in im 0.985 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.985 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.985 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.985 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.985 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of re in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of re in re 0.985 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of im in re 0.985 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.985 * [taylor]: Taking taylor expansion of -1 in re 0.985 * [taylor]: Taking taylor expansion of im in re 0.985 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.985 * [taylor]: Taking taylor expansion of re in re 0.985 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.985 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.986 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.986 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.986 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of re in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of re in re 0.986 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of im in re 0.986 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.986 * [taylor]: Taking taylor expansion of -1 in re 0.986 * [taylor]: Taking taylor expansion of im in re 0.986 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.986 * [taylor]: Taking taylor expansion of re in re 0.986 * [taylor]: Taking taylor expansion of 0 in im 0.986 * [taylor]: Taking taylor expansion of 0 in im 0.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.987 * [taylor]: Taking taylor expansion of 1/2 in im 0.987 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.987 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.987 * [taylor]: Taking taylor expansion of im in im 0.987 * [taylor]: Taking taylor expansion of 0 in im 0.987 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1) 0.987 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.987 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.987 * [taylor]: Taking taylor expansion of re in im 0.987 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.988 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.988 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.988 * [taylor]: Taking taylor expansion of (* re re) in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [taylor]: Taking taylor expansion of re in im 0.988 * [taylor]: Taking taylor expansion of (* im im) in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.988 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.988 * [taylor]: Taking taylor expansion of re in re 0.988 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.988 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.988 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.988 * [taylor]: Taking taylor expansion of (* re re) in re 0.988 * [taylor]: Taking taylor expansion of re in re 0.988 * [taylor]: Taking taylor expansion of re in re 0.988 * [taylor]: Taking taylor expansion of (* im im) in re 0.988 * [taylor]: Taking taylor expansion of im in re 0.988 * [taylor]: Taking taylor expansion of im in re 0.989 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.989 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.989 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.989 * [taylor]: Taking taylor expansion of (* re re) in re 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [taylor]: Taking taylor expansion of (* im im) in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.989 * [taylor]: Taking taylor expansion of im in re 0.989 * [taylor]: Taking taylor expansion of im in im 0.989 * [taylor]: Taking taylor expansion of 1 in im 0.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.989 * [taylor]: Taking taylor expansion of 1/2 in im 0.989 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.989 * [taylor]: Taking taylor expansion of im in im 0.990 * [taylor]: Taking taylor expansion of 0 in im 0.990 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.990 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.990 * [taylor]: Taking taylor expansion of re in im 0.990 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.990 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.990 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.990 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.990 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.990 * [taylor]: Taking taylor expansion of re in im 0.990 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.990 * [taylor]: Taking taylor expansion of re in im 0.990 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.990 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.990 * [taylor]: Taking taylor expansion of im in im 0.990 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.990 * [taylor]: Taking taylor expansion of im in im 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.990 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.990 * [taylor]: Taking taylor expansion of re in re 0.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.991 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.991 * [taylor]: Taking taylor expansion of re in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.991 * [taylor]: Taking taylor expansion of re in re 0.991 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.991 * [taylor]: Taking taylor expansion of im in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.991 * [taylor]: Taking taylor expansion of im in re 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.991 * [taylor]: Taking taylor expansion of re in re 0.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.991 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.991 * [taylor]: Taking taylor expansion of re in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.991 * [taylor]: Taking taylor expansion of re in re 0.991 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.991 * [taylor]: Taking taylor expansion of im in re 0.991 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.991 * [taylor]: Taking taylor expansion of im in re 0.992 * [taylor]: Taking taylor expansion of 2 in im 0.992 * [taylor]: Taking taylor expansion of 0 in im 0.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.992 * [taylor]: Taking taylor expansion of 1/2 in im 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.992 * [taylor]: Taking taylor expansion of im in im 0.993 * [taylor]: Taking taylor expansion of 0 in im 0.993 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.993 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.993 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.993 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.993 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.993 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.993 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.993 * [taylor]: Taking taylor expansion of -1 in im 0.993 * [taylor]: Taking taylor expansion of re in im 0.993 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.993 * [taylor]: Taking taylor expansion of -1 in im 0.993 * [taylor]: Taking taylor expansion of re in im 0.993 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.993 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.993 * [taylor]: Taking taylor expansion of -1 in im 0.993 * [taylor]: Taking taylor expansion of im in im 0.993 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.993 * [taylor]: Taking taylor expansion of -1 in im 0.993 * [taylor]: Taking taylor expansion of im in im 0.993 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.993 * [taylor]: Taking taylor expansion of re in im 0.994 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.994 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.994 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.994 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.994 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of im in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of im in re 0.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.994 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.994 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.994 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.994 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of re in re 0.994 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.994 * [taylor]: Taking taylor expansion of im in re 0.994 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.994 * [taylor]: Taking taylor expansion of -1 in re 0.995 * [taylor]: Taking taylor expansion of im in re 0.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.995 * [taylor]: Taking taylor expansion of re in re 0.995 * [taylor]: Taking taylor expansion of 0 in im 0.995 * [taylor]: Taking taylor expansion of 0 in im 0.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.995 * [taylor]: Taking taylor expansion of 1/2 in im 0.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.995 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.995 * [taylor]: Taking taylor expansion of im in im 0.996 * [taylor]: Taking taylor expansion of 0 in im 0.996 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 0.996 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.996 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.996 * [taylor]: Taking taylor expansion of re in im 0.996 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.996 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.996 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.996 * [taylor]: Taking taylor expansion of (* re re) in im 0.996 * [taylor]: Taking taylor expansion of re in im 0.996 * [taylor]: Taking taylor expansion of re in im 0.996 * [taylor]: Taking taylor expansion of (* im im) in im 0.996 * [taylor]: Taking taylor expansion of im in im 0.996 * [taylor]: Taking taylor expansion of im in im 0.997 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.997 * [taylor]: Taking taylor expansion of re in re 0.997 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.997 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.997 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.997 * [taylor]: Taking taylor expansion of (* re re) in re 0.997 * [taylor]: Taking taylor expansion of re in re 0.997 * [taylor]: Taking taylor expansion of re in re 0.997 * [taylor]: Taking taylor expansion of (* im im) in re 0.997 * [taylor]: Taking taylor expansion of im in re 0.997 * [taylor]: Taking taylor expansion of im in re 0.997 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.997 * [taylor]: Taking taylor expansion of re in re 0.997 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.997 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.997 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.997 * [taylor]: Taking taylor expansion of (* re re) in re 0.997 * [taylor]: Taking taylor expansion of re in re 0.997 * [taylor]: Taking taylor expansion of re in re 0.997 * [taylor]: Taking taylor expansion of (* im im) in re 0.997 * [taylor]: Taking taylor expansion of im in re 0.997 * [taylor]: Taking taylor expansion of im in re 0.998 * [taylor]: Taking taylor expansion of im in im 0.998 * [taylor]: Taking taylor expansion of 1 in im 0.998 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.998 * [taylor]: Taking taylor expansion of 1/2 in im 0.998 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.998 * [taylor]: Taking taylor expansion of im in im 0.998 * [taylor]: Taking taylor expansion of 0 in im 0.999 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.999 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.999 * [taylor]: Taking taylor expansion of re in im 0.999 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.999 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.999 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.999 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.999 * [taylor]: Taking taylor expansion of re in im 0.999 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.999 * [taylor]: Taking taylor expansion of re in im 0.999 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.999 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.999 * [taylor]: Taking taylor expansion of im in im 0.999 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.999 * [taylor]: Taking taylor expansion of im in im 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.999 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.999 * [taylor]: Taking taylor expansion of re in re 0.999 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.999 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.999 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.999 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.999 * [taylor]: Taking taylor expansion of re in re 0.999 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.999 * [taylor]: Taking taylor expansion of re in re 0.999 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.999 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.999 * [taylor]: Taking taylor expansion of im in re 0.999 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.000 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.000 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.000 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.000 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.000 * [taylor]: Taking taylor expansion of im in re 1.000 * [taylor]: Taking taylor expansion of 2 in im 1.000 * [taylor]: Taking taylor expansion of 0 in im 1.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.001 * [taylor]: Taking taylor expansion of 1/2 in im 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.001 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.001 * [taylor]: Taking taylor expansion of im in im 1.001 * [taylor]: Taking taylor expansion of 0 in im 1.002 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.002 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.002 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.002 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.002 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.002 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.002 * [taylor]: Taking taylor expansion of -1 in im 1.002 * [taylor]: Taking taylor expansion of re in im 1.002 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.002 * [taylor]: Taking taylor expansion of -1 in im 1.002 * [taylor]: Taking taylor expansion of re in im 1.002 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.002 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.002 * [taylor]: Taking taylor expansion of -1 in im 1.002 * [taylor]: Taking taylor expansion of im in im 1.002 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.002 * [taylor]: Taking taylor expansion of -1 in im 1.002 * [taylor]: Taking taylor expansion of im in im 1.002 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.002 * [taylor]: Taking taylor expansion of re in im 1.002 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.002 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.002 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.002 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.002 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.002 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.002 * [taylor]: Taking taylor expansion of -1 in re 1.002 * [taylor]: Taking taylor expansion of re in re 1.002 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.002 * [taylor]: Taking taylor expansion of -1 in re 1.002 * [taylor]: Taking taylor expansion of re in re 1.002 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.002 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.002 * [taylor]: Taking taylor expansion of -1 in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.003 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.003 * [taylor]: Taking taylor expansion of -1 in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.003 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.003 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.003 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.003 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.003 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.003 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.003 * [taylor]: Taking taylor expansion of -1 in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.003 * [taylor]: Taking taylor expansion of -1 in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.003 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.003 * [taylor]: Taking taylor expansion of -1 in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.003 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.003 * [taylor]: Taking taylor expansion of -1 in re 1.003 * [taylor]: Taking taylor expansion of im in re 1.003 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.003 * [taylor]: Taking taylor expansion of re in re 1.003 * [taylor]: Taking taylor expansion of 0 in im 1.003 * [taylor]: Taking taylor expansion of 0 in im 1.004 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.004 * [taylor]: Taking taylor expansion of 1/2 in im 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.004 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.004 * [taylor]: Taking taylor expansion of im in im 1.005 * [taylor]: Taking taylor expansion of 0 in im 1.005 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.005 * [approximate]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in (re im) around 0 1.005 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in im 1.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in im 1.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in im 1.005 * [taylor]: Taking taylor expansion of 1/3 in im 1.005 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in im 1.005 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.005 * [taylor]: Taking taylor expansion of re in im 1.005 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.005 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.005 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.005 * [taylor]: Taking taylor expansion of (* re re) in im 1.005 * [taylor]: Taking taylor expansion of re in im 1.005 * [taylor]: Taking taylor expansion of re in im 1.005 * [taylor]: Taking taylor expansion of (* im im) in im 1.005 * [taylor]: Taking taylor expansion of im in im 1.005 * [taylor]: Taking taylor expansion of im in im 1.006 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 1.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 1.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 1.006 * [taylor]: Taking taylor expansion of 1/3 in re 1.006 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.006 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.006 * [taylor]: Taking taylor expansion of re in re 1.006 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.006 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.006 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.006 * [taylor]: Taking taylor expansion of (* re re) in re 1.006 * [taylor]: Taking taylor expansion of re in re 1.006 * [taylor]: Taking taylor expansion of re in re 1.006 * [taylor]: Taking taylor expansion of (* im im) in re 1.006 * [taylor]: Taking taylor expansion of im in re 1.006 * [taylor]: Taking taylor expansion of im in re 1.006 * [taylor]: Taking taylor expansion of (pow (+ re (hypot re im)) 1/3) in re 1.006 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ re (hypot re im))))) in re 1.006 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ re (hypot re im)))) in re 1.006 * [taylor]: Taking taylor expansion of 1/3 in re 1.006 * [taylor]: Taking taylor expansion of (log (+ re (hypot re im))) in re 1.006 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.006 * [taylor]: Taking taylor expansion of re in re 1.006 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.006 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.007 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.007 * [taylor]: Taking taylor expansion of (* re re) in re 1.007 * [taylor]: Taking taylor expansion of re in re 1.007 * [taylor]: Taking taylor expansion of re in re 1.007 * [taylor]: Taking taylor expansion of (* im im) in re 1.007 * [taylor]: Taking taylor expansion of im in re 1.007 * [taylor]: Taking taylor expansion of im in re 1.007 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 1.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 1.007 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 1.007 * [taylor]: Taking taylor expansion of 1/3 in im 1.007 * [taylor]: Taking taylor expansion of (log im) in im 1.007 * [taylor]: Taking taylor expansion of im in im 1.008 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 2)) 1/3)) in im 1.008 * [taylor]: Taking taylor expansion of 1/3 in im 1.008 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in im 1.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in im 1.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in im 1.008 * [taylor]: Taking taylor expansion of 1/3 in im 1.008 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in im 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.008 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.008 * [taylor]: Taking taylor expansion of im in im 1.009 * [taylor]: Taking taylor expansion of (* 1/18 (pow (/ 1 (pow im 5)) 1/3)) in im 1.009 * [taylor]: Taking taylor expansion of 1/18 in im 1.009 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 1.009 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 1.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 1.009 * [taylor]: Taking taylor expansion of 1/3 in im 1.009 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.009 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.009 * [taylor]: Taking taylor expansion of im in im 1.010 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in (re im) around 0 1.010 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in im 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.010 * [taylor]: Taking taylor expansion of 1/3 in im 1.010 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.010 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.010 * [taylor]: Taking taylor expansion of re in im 1.011 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.011 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.011 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.011 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.011 * [taylor]: Taking taylor expansion of re in im 1.011 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.011 * [taylor]: Taking taylor expansion of re in im 1.011 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.011 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.011 * [taylor]: Taking taylor expansion of im in im 1.011 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.011 * [taylor]: Taking taylor expansion of im in im 1.011 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 1.011 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.011 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.011 * [taylor]: Taking taylor expansion of 1/3 in re 1.011 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.011 * [taylor]: Taking taylor expansion of re in re 1.011 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.011 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.011 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.011 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.011 * [taylor]: Taking taylor expansion of re in re 1.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.011 * [taylor]: Taking taylor expansion of re in re 1.012 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.012 * [taylor]: Taking taylor expansion of im in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.012 * [taylor]: Taking taylor expansion of im in re 1.012 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/3) in re 1.012 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 1.012 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.012 * [taylor]: Taking taylor expansion of 1/3 in re 1.012 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.012 * [taylor]: Taking taylor expansion of re in re 1.012 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.012 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.012 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.012 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.012 * [taylor]: Taking taylor expansion of re in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.012 * [taylor]: Taking taylor expansion of re in re 1.012 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.012 * [taylor]: Taking taylor expansion of im in re 1.012 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.012 * [taylor]: Taking taylor expansion of im in re 1.013 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 1.013 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 1.013 * [taylor]: Taking taylor expansion of 1/3 in im 1.013 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.013 * [taylor]: Taking taylor expansion of (log 2) in im 1.013 * [taylor]: Taking taylor expansion of 2 in im 1.013 * [taylor]: Taking taylor expansion of (log re) in im 1.013 * [taylor]: Taking taylor expansion of re in im 1.014 * [taylor]: Taking taylor expansion of 0 in im 1.015 * [taylor]: Taking taylor expansion of (* 1/12 (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2))) in im 1.015 * [taylor]: Taking taylor expansion of 1/12 in im 1.015 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log 2) (log re)))) (pow im 2)) in im 1.015 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log 2) (log re)))) in im 1.015 * [taylor]: Taking taylor expansion of (* 1/3 (- (log 2) (log re))) in im 1.015 * [taylor]: Taking taylor expansion of 1/3 in im 1.015 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 1.015 * [taylor]: Taking taylor expansion of (log 2) in im 1.015 * [taylor]: Taking taylor expansion of 2 in im 1.015 * [taylor]: Taking taylor expansion of (log re) in im 1.015 * [taylor]: Taking taylor expansion of re in im 1.015 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.015 * [taylor]: Taking taylor expansion of im in im 1.018 * [taylor]: Taking taylor expansion of 0 in im 1.018 * [approximate]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in (re im) around 0 1.018 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in im 1.018 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 1.018 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 1.018 * [taylor]: Taking taylor expansion of 1/3 in im 1.018 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.018 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.018 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.019 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.019 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.019 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.019 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.019 * [taylor]: Taking taylor expansion of -1 in im 1.019 * [taylor]: Taking taylor expansion of re in im 1.019 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.019 * [taylor]: Taking taylor expansion of -1 in im 1.019 * [taylor]: Taking taylor expansion of re in im 1.019 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.019 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.019 * [taylor]: Taking taylor expansion of -1 in im 1.019 * [taylor]: Taking taylor expansion of im in im 1.019 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.019 * [taylor]: Taking taylor expansion of -1 in im 1.019 * [taylor]: Taking taylor expansion of im in im 1.019 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.019 * [taylor]: Taking taylor expansion of re in im 1.019 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 1.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.019 * [taylor]: Taking taylor expansion of 1/3 in re 1.019 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.019 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.019 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.019 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.019 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.019 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.019 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.019 * [taylor]: Taking taylor expansion of -1 in re 1.019 * [taylor]: Taking taylor expansion of re in re 1.019 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.019 * [taylor]: Taking taylor expansion of -1 in re 1.020 * [taylor]: Taking taylor expansion of re in re 1.020 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.020 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.020 * [taylor]: Taking taylor expansion of -1 in re 1.020 * [taylor]: Taking taylor expansion of im in re 1.020 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.020 * [taylor]: Taking taylor expansion of -1 in re 1.020 * [taylor]: Taking taylor expansion of im in re 1.020 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.020 * [taylor]: Taking taylor expansion of re in re 1.021 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/3) in re 1.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 1.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 1.021 * [taylor]: Taking taylor expansion of 1/3 in re 1.021 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.021 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.021 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.021 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.021 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.021 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.021 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.021 * [taylor]: Taking taylor expansion of -1 in re 1.021 * [taylor]: Taking taylor expansion of re in re 1.021 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.021 * [taylor]: Taking taylor expansion of -1 in re 1.021 * [taylor]: Taking taylor expansion of re in re 1.021 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.021 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.021 * [taylor]: Taking taylor expansion of -1 in re 1.021 * [taylor]: Taking taylor expansion of im in re 1.021 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.021 * [taylor]: Taking taylor expansion of -1 in re 1.021 * [taylor]: Taking taylor expansion of im in re 1.021 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.021 * [taylor]: Taking taylor expansion of re in re 1.022 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.022 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.022 * [taylor]: Taking taylor expansion of 1/3 in im 1.022 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.022 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.022 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.022 * [taylor]: Taking taylor expansion of 1/2 in im 1.022 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.022 * [taylor]: Taking taylor expansion of im in im 1.022 * [taylor]: Taking taylor expansion of (log re) in im 1.022 * [taylor]: Taking taylor expansion of re in im 1.024 * [taylor]: Taking taylor expansion of 0 in im 1.026 * [taylor]: Taking taylor expansion of (* -1/12 (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2))) in im 1.026 * [taylor]: Taking taylor expansion of -1/12 in im 1.026 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) (pow im 2)) in im 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re)))) in im 1.026 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (/ 1/2 (pow im 2))) (log re))) in im 1.026 * [taylor]: Taking taylor expansion of 1/3 in im 1.026 * [taylor]: Taking taylor expansion of (+ (log (/ 1/2 (pow im 2))) (log re)) in im 1.026 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 1.026 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.026 * [taylor]: Taking taylor expansion of 1/2 in im 1.026 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.026 * [taylor]: Taking taylor expansion of im in im 1.026 * [taylor]: Taking taylor expansion of (log re) in im 1.026 * [taylor]: Taking taylor expansion of re in im 1.027 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.027 * [taylor]: Taking taylor expansion of im in im 1.031 * [taylor]: Taking taylor expansion of 0 in im 1.031 * * * [progress]: simplifying candidates 1.032 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (* (exp (* (sqrt 1) (hypot re im))) (exp re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (* (* (+ (* (sqrt 1) (hypot re im)) re) (+ (* (sqrt 1) (hypot re im)) re)) (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re))) (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re)) (- (* (sqrt 1) (hypot re im)) re) (expm1 (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (log (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt 1) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))) (cbrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (cbrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (cbrt (- (* (sqrt 1) (hypot re im)) re)) (* (cbrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (* (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ (pow im 1/3) (+ (* 1/3 (* re (pow (/ 1 (pow im 2)) 1/3))) (* 1/18 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))))) (exp (* 1/3 (- (log 2) (log (/ 1 re))))) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 1.036 * * [simplify]: iteration 0 : 199 enodes (cost 465 ) 1.040 * * [simplify]: iteration 1 : 554 enodes (cost 415 ) 1.050 * * [simplify]: iteration 2 : 2019 enodes (cost 405 ) 1.087 * * [simplify]: iteration 3 : 5002 enodes (cost 389 ) 1.090 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (fma (hypot re im) (hypot re im) (- (* re re))) (- (hypot re im) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (fma (hypot re im) (hypot re im) (- (* re re))) (- (hypot re im) re) (expm1 (+ (* (sqrt 1) (hypot re im)) re)) (log1p (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (log (+ (* (sqrt 1) (hypot re im)) re)) (exp (+ (* (sqrt 1) (hypot re im)) re)) (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (pow (fma (sqrt 1) (hypot re im) re) 3) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (sqrt (+ (* (sqrt 1) (hypot re im)) re)) (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3)) (fma (hypot re im) (hypot re im) (* re (- re (* (sqrt 1) (hypot re im))))) (fma (hypot re im) (hypot re im) (- (* re re))) (- (hypot re im) re) (expm1 (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (log1p (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (log (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (exp (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (* (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (sqrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt 1) (cbrt (+ (* (sqrt 1) (hypot re im)) re)) (cbrt (+ (pow (* (sqrt 1) (hypot re im)) 3) (pow re 3))) (cbrt (+ (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (- (* re re) (* (* (sqrt 1) (hypot re im)) re)))) (cbrt (- (* (* (sqrt 1) (hypot re im)) (* (sqrt 1) (hypot re im))) (* re re))) (cbrt (- (* (sqrt 1) (hypot re im)) re)) (* (cbrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (cbrt (cbrt (+ (* (sqrt 1) (hypot re im)) re)))) (cbrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (+ (hypot re im) re) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (sqrt (cbrt (+ (* (sqrt 1) (hypot re im)) re))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (fma (* (pow (/ 1 (pow im 2)) 1/3) 1/3) re (fma (* 1/18 (pow re 2)) (pow (/ 1 (pow im 5)) 1/3) (pow im 1/3))) (* (pow re 1/3) (pow 2 1/3)) (exp (* 1/3 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im)))))) 1.090 * * * [progress]: adding candidates to table 1.925 * * [progress]: iteration 4 / 4 1.925 * * * [progress]: picking best candidate 1.979 * * * * [pick]: Picked # 1.979 * * * [progress]: localizing error 1.991 * * * [progress]: generating rewritten candidates 1.991 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 2.006 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 2.015 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 2) 2.015 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.018 * * * [progress]: generating series expansions 2.018 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 2.019 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 2.019 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 2.019 * [taylor]: Taking taylor expansion of re in im 2.019 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.019 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.019 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.019 * [taylor]: Taking taylor expansion of (* re re) in im 2.019 * [taylor]: Taking taylor expansion of re in im 2.019 * [taylor]: Taking taylor expansion of re in im 2.019 * [taylor]: Taking taylor expansion of (* im im) in im 2.019 * [taylor]: Taking taylor expansion of im in im 2.019 * [taylor]: Taking taylor expansion of im in im 2.019 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.019 * [taylor]: Taking taylor expansion of re in re 2.019 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.019 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.019 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.019 * [taylor]: Taking taylor expansion of (* re re) in re 2.019 * [taylor]: Taking taylor expansion of re in re 2.019 * [taylor]: Taking taylor expansion of re in re 2.019 * [taylor]: Taking taylor expansion of (* im im) in re 2.019 * [taylor]: Taking taylor expansion of im in re 2.019 * [taylor]: Taking taylor expansion of im in re 2.020 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 2.020 * [taylor]: Taking taylor expansion of re in re 2.020 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.020 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.020 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.020 * [taylor]: Taking taylor expansion of (* re re) in re 2.020 * [taylor]: Taking taylor expansion of re in re 2.020 * [taylor]: Taking taylor expansion of re in re 2.020 * [taylor]: Taking taylor expansion of (* im im) in re 2.020 * [taylor]: Taking taylor expansion of im in re 2.020 * [taylor]: Taking taylor expansion of im in re 2.020 * [taylor]: Taking taylor expansion of im in im 2.020 * [taylor]: Taking taylor expansion of 1 in im 2.020 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.020 * [taylor]: Taking taylor expansion of 1/2 in im 2.020 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.020 * [taylor]: Taking taylor expansion of im in im 2.021 * [taylor]: Taking taylor expansion of 0 in im 2.021 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.021 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.021 * [taylor]: Taking taylor expansion of re in im 2.021 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.021 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.021 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.021 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.021 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.021 * [taylor]: Taking taylor expansion of re in im 2.021 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.021 * [taylor]: Taking taylor expansion of re in im 2.021 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.021 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.021 * [taylor]: Taking taylor expansion of im in im 2.021 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.021 * [taylor]: Taking taylor expansion of im in im 2.022 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.022 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.022 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.022 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.022 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.022 * [taylor]: Taking taylor expansion of im in re 2.023 * [taylor]: Taking taylor expansion of 2 in im 2.023 * [taylor]: Taking taylor expansion of 0 in im 2.023 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.023 * [taylor]: Taking taylor expansion of 1/2 in im 2.023 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.023 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.024 * [taylor]: Taking taylor expansion of 0 in im 2.024 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.024 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.024 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.024 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.024 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.024 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.024 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.024 * [taylor]: Taking taylor expansion of -1 in im 2.024 * [taylor]: Taking taylor expansion of re in im 2.024 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.024 * [taylor]: Taking taylor expansion of -1 in im 2.024 * [taylor]: Taking taylor expansion of re in im 2.024 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.024 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.024 * [taylor]: Taking taylor expansion of -1 in im 2.024 * [taylor]: Taking taylor expansion of im in im 2.024 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.024 * [taylor]: Taking taylor expansion of -1 in im 2.024 * [taylor]: Taking taylor expansion of im in im 2.024 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.024 * [taylor]: Taking taylor expansion of re in im 2.025 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.025 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.025 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.025 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.025 * [taylor]: Taking taylor expansion of -1 in re 2.025 * [taylor]: Taking taylor expansion of im in re 2.026 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.026 * [taylor]: Taking taylor expansion of re in re 2.026 * [taylor]: Taking taylor expansion of 0 in im 2.026 * [taylor]: Taking taylor expansion of 0 in im 2.026 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.026 * [taylor]: Taking taylor expansion of 1/2 in im 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.026 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.026 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of 0 in im 2.027 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 2.027 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.027 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.027 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.027 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.027 * [taylor]: Taking taylor expansion of (* re re) in im 2.027 * [taylor]: Taking taylor expansion of re in im 2.027 * [taylor]: Taking taylor expansion of re in im 2.027 * [taylor]: Taking taylor expansion of (* im im) in im 2.027 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of im in im 2.027 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.028 * [taylor]: Taking taylor expansion of (* re re) in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [taylor]: Taking taylor expansion of (* im im) in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.028 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.028 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.028 * [taylor]: Taking taylor expansion of (* re re) in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [taylor]: Taking taylor expansion of (* im im) in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [taylor]: Taking taylor expansion of im in im 2.029 * [taylor]: Taking taylor expansion of 0 in im 2.029 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.029 * [taylor]: Taking taylor expansion of 1/2 in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.029 * [taylor]: Taking taylor expansion of 0 in im 2.029 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.029 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.029 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.029 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.029 * [taylor]: Taking taylor expansion of re in im 2.029 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.029 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.030 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.030 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.030 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.030 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.030 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.030 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.030 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.030 * [taylor]: Taking taylor expansion of re in re 2.030 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.030 * [taylor]: Taking taylor expansion of im in re 2.030 * [taylor]: Taking taylor expansion of 1 in im 2.030 * [taylor]: Taking taylor expansion of 0 in im 2.031 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.031 * [taylor]: Taking taylor expansion of 1/2 in im 2.031 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.031 * [taylor]: Taking taylor expansion of im in im 2.031 * [taylor]: Taking taylor expansion of 0 in im 2.032 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.032 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.032 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.032 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.032 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.032 * [taylor]: Taking taylor expansion of -1 in im 2.032 * [taylor]: Taking taylor expansion of re in im 2.032 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.032 * [taylor]: Taking taylor expansion of -1 in im 2.032 * [taylor]: Taking taylor expansion of re in im 2.032 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.032 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.032 * [taylor]: Taking taylor expansion of -1 in im 2.032 * [taylor]: Taking taylor expansion of im in im 2.032 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.032 * [taylor]: Taking taylor expansion of -1 in im 2.032 * [taylor]: Taking taylor expansion of im in im 2.032 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.032 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.032 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.032 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.032 * [taylor]: Taking taylor expansion of -1 in re 2.032 * [taylor]: Taking taylor expansion of re in re 2.032 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.032 * [taylor]: Taking taylor expansion of -1 in re 2.032 * [taylor]: Taking taylor expansion of re in re 2.032 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.032 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.032 * [taylor]: Taking taylor expansion of -1 in re 2.032 * [taylor]: Taking taylor expansion of im in re 2.032 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.032 * [taylor]: Taking taylor expansion of -1 in re 2.032 * [taylor]: Taking taylor expansion of im in re 2.033 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.033 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.033 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.033 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.033 * [taylor]: Taking taylor expansion of -1 in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.033 * [taylor]: Taking taylor expansion of 1 in im 2.033 * [taylor]: Taking taylor expansion of 0 in im 2.033 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.033 * [taylor]: Taking taylor expansion of 1/2 in im 2.033 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.033 * [taylor]: Taking taylor expansion of im in im 2.034 * [taylor]: Taking taylor expansion of 0 in im 2.034 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 2) 2.034 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 2.034 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.034 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.034 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.034 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.034 * [taylor]: Taking taylor expansion of (* re re) in im 2.034 * [taylor]: Taking taylor expansion of re in im 2.034 * [taylor]: Taking taylor expansion of re in im 2.034 * [taylor]: Taking taylor expansion of (* im im) in im 2.034 * [taylor]: Taking taylor expansion of im in im 2.034 * [taylor]: Taking taylor expansion of im in im 2.035 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.035 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.035 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.035 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.035 * [taylor]: Taking taylor expansion of (* re re) in re 2.035 * [taylor]: Taking taylor expansion of re in re 2.035 * [taylor]: Taking taylor expansion of re in re 2.035 * [taylor]: Taking taylor expansion of (* im im) in re 2.035 * [taylor]: Taking taylor expansion of im in re 2.035 * [taylor]: Taking taylor expansion of im in re 2.035 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.035 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.035 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.035 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.035 * [taylor]: Taking taylor expansion of (* re re) in re 2.035 * [taylor]: Taking taylor expansion of re in re 2.035 * [taylor]: Taking taylor expansion of re in re 2.035 * [taylor]: Taking taylor expansion of (* im im) in re 2.035 * [taylor]: Taking taylor expansion of im in re 2.035 * [taylor]: Taking taylor expansion of im in re 2.036 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.036 * [taylor]: Taking taylor expansion of im in im 2.036 * [taylor]: Taking taylor expansion of 0 in im 2.036 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 2.036 * [taylor]: Taking taylor expansion of 1/4 in im 2.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.036 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.036 * [taylor]: Taking taylor expansion of im in im 2.037 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.037 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.037 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.037 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.037 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.037 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.037 * [taylor]: Taking taylor expansion of re in im 2.037 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.037 * [taylor]: Taking taylor expansion of re in im 2.037 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.037 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.038 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.038 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.038 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.038 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.038 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.038 * [taylor]: Taking taylor expansion of re in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.038 * [taylor]: Taking taylor expansion of re in re 2.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.038 * [taylor]: Taking taylor expansion of im in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.038 * [taylor]: Taking taylor expansion of im in re 2.038 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.038 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.038 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.038 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.038 * [taylor]: Taking taylor expansion of re in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.038 * [taylor]: Taking taylor expansion of re in re 2.038 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.038 * [taylor]: Taking taylor expansion of im in re 2.039 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.039 * [taylor]: Taking taylor expansion of im in re 2.039 * [taylor]: Taking taylor expansion of 0 in im 2.039 * [taylor]: Taking taylor expansion of +nan.0 in im 2.039 * [taylor]: Taking taylor expansion of +nan.0 in im 2.039 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.039 * [taylor]: Taking taylor expansion of +nan.0 in im 2.039 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.039 * [taylor]: Taking taylor expansion of 1/2 in im 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.039 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.040 * [taylor]: Taking taylor expansion of im in im 2.040 * [taylor]: Taking taylor expansion of +nan.0 in im 2.040 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.040 * [taylor]: Taking taylor expansion of +nan.0 in im 2.040 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.040 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.040 * [taylor]: Taking taylor expansion of +nan.0 in im 2.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.040 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.040 * [taylor]: Taking taylor expansion of im in im 2.040 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.040 * [taylor]: Taking taylor expansion of +nan.0 in im 2.041 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.041 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.041 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.041 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.041 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.041 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.041 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.041 * [taylor]: Taking taylor expansion of -1 in im 2.041 * [taylor]: Taking taylor expansion of re in im 2.041 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.041 * [taylor]: Taking taylor expansion of -1 in im 2.041 * [taylor]: Taking taylor expansion of re in im 2.041 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.041 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.041 * [taylor]: Taking taylor expansion of -1 in im 2.041 * [taylor]: Taking taylor expansion of im in im 2.041 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.041 * [taylor]: Taking taylor expansion of -1 in im 2.041 * [taylor]: Taking taylor expansion of im in im 2.042 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.042 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.042 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.042 * [taylor]: Taking taylor expansion of -1 in re 2.042 * [taylor]: Taking taylor expansion of re in re 2.042 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.042 * [taylor]: Taking taylor expansion of -1 in re 2.042 * [taylor]: Taking taylor expansion of re in re 2.042 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.042 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.042 * [taylor]: Taking taylor expansion of -1 in re 2.042 * [taylor]: Taking taylor expansion of im in re 2.042 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.042 * [taylor]: Taking taylor expansion of -1 in re 2.042 * [taylor]: Taking taylor expansion of im in re 2.042 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.042 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.042 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.042 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.042 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.042 * [taylor]: Taking taylor expansion of -1 in re 2.042 * [taylor]: Taking taylor expansion of re in re 2.043 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.043 * [taylor]: Taking taylor expansion of -1 in re 2.043 * [taylor]: Taking taylor expansion of re in re 2.043 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.043 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.043 * [taylor]: Taking taylor expansion of -1 in re 2.043 * [taylor]: Taking taylor expansion of im in re 2.043 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.043 * [taylor]: Taking taylor expansion of -1 in re 2.043 * [taylor]: Taking taylor expansion of im in re 2.043 * [taylor]: Taking taylor expansion of 0 in im 2.043 * [taylor]: Taking taylor expansion of +nan.0 in im 2.043 * [taylor]: Taking taylor expansion of +nan.0 in im 2.044 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.044 * [taylor]: Taking taylor expansion of +nan.0 in im 2.044 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.044 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.044 * [taylor]: Taking taylor expansion of 1/2 in im 2.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.044 * [taylor]: Taking taylor expansion of im in im 2.044 * [taylor]: Taking taylor expansion of +nan.0 in im 2.045 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.045 * [taylor]: Taking taylor expansion of +nan.0 in im 2.045 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.045 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.045 * [taylor]: Taking taylor expansion of +nan.0 in im 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.045 * [taylor]: Taking taylor expansion of im in im 2.045 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.045 * [taylor]: Taking taylor expansion of +nan.0 in im 2.045 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 2 1) 2.045 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 2.045 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 2.045 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.045 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.045 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.045 * [taylor]: Taking taylor expansion of (* re re) in im 2.046 * [taylor]: Taking taylor expansion of re in im 2.046 * [taylor]: Taking taylor expansion of re in im 2.046 * [taylor]: Taking taylor expansion of (* im im) in im 2.046 * [taylor]: Taking taylor expansion of im in im 2.046 * [taylor]: Taking taylor expansion of im in im 2.046 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.046 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.046 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.046 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.046 * [taylor]: Taking taylor expansion of (* re re) in re 2.046 * [taylor]: Taking taylor expansion of re in re 2.046 * [taylor]: Taking taylor expansion of re in re 2.046 * [taylor]: Taking taylor expansion of (* im im) in re 2.046 * [taylor]: Taking taylor expansion of im in re 2.046 * [taylor]: Taking taylor expansion of im in re 2.046 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 2.046 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.047 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.047 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.047 * [taylor]: Taking taylor expansion of (* re re) in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [taylor]: Taking taylor expansion of (* im im) in re 2.047 * [taylor]: Taking taylor expansion of im in re 2.047 * [taylor]: Taking taylor expansion of im in re 2.047 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.047 * [taylor]: Taking taylor expansion of im in im 2.047 * [taylor]: Taking taylor expansion of 0 in im 2.047 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 2.047 * [taylor]: Taking taylor expansion of 1/4 in im 2.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.047 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.047 * [taylor]: Taking taylor expansion of im in im 2.048 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.048 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 2.048 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.048 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.048 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.048 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.048 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.048 * [taylor]: Taking taylor expansion of re in im 2.048 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.048 * [taylor]: Taking taylor expansion of re in im 2.048 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.048 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.048 * [taylor]: Taking taylor expansion of im in im 2.049 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.049 * [taylor]: Taking taylor expansion of im in im 2.049 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.049 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.049 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.049 * [taylor]: Taking taylor expansion of im in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.049 * [taylor]: Taking taylor expansion of im in re 2.049 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 2.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.049 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.049 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.049 * [taylor]: Taking taylor expansion of re in re 2.049 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.049 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.049 * [taylor]: Taking taylor expansion of im in re 2.050 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.050 * [taylor]: Taking taylor expansion of im in re 2.050 * [taylor]: Taking taylor expansion of 0 in im 2.050 * [taylor]: Taking taylor expansion of +nan.0 in im 2.050 * [taylor]: Taking taylor expansion of +nan.0 in im 2.050 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.050 * [taylor]: Taking taylor expansion of +nan.0 in im 2.050 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.050 * [taylor]: Taking taylor expansion of 1/2 in im 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.050 * [taylor]: Taking taylor expansion of im in im 2.051 * [taylor]: Taking taylor expansion of +nan.0 in im 2.051 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.051 * [taylor]: Taking taylor expansion of +nan.0 in im 2.051 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.051 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.051 * [taylor]: Taking taylor expansion of +nan.0 in im 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.051 * [taylor]: Taking taylor expansion of im in im 2.051 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.051 * [taylor]: Taking taylor expansion of +nan.0 in im 2.052 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 2.052 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 2.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.052 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.052 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.052 * [taylor]: Taking taylor expansion of -1 in im 2.052 * [taylor]: Taking taylor expansion of re in im 2.052 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.052 * [taylor]: Taking taylor expansion of -1 in im 2.052 * [taylor]: Taking taylor expansion of re in im 2.052 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.052 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.052 * [taylor]: Taking taylor expansion of -1 in im 2.052 * [taylor]: Taking taylor expansion of im in im 2.052 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.052 * [taylor]: Taking taylor expansion of -1 in im 2.052 * [taylor]: Taking taylor expansion of im in im 2.053 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.053 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.053 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [taylor]: Taking taylor expansion of im in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [taylor]: Taking taylor expansion of im in re 2.053 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 2.053 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.053 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [taylor]: Taking taylor expansion of im in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.054 * [taylor]: Taking taylor expansion of -1 in re 2.054 * [taylor]: Taking taylor expansion of im in re 2.054 * [taylor]: Taking taylor expansion of 0 in im 2.054 * [taylor]: Taking taylor expansion of +nan.0 in im 2.054 * [taylor]: Taking taylor expansion of +nan.0 in im 2.054 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.054 * [taylor]: Taking taylor expansion of +nan.0 in im 2.054 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.054 * [taylor]: Taking taylor expansion of 1/2 in im 2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.055 * [taylor]: Taking taylor expansion of im in im 2.055 * [taylor]: Taking taylor expansion of +nan.0 in im 2.055 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.055 * [taylor]: Taking taylor expansion of +nan.0 in im 2.055 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.055 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.055 * [taylor]: Taking taylor expansion of +nan.0 in im 2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.055 * [taylor]: Taking taylor expansion of im in im 2.055 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.055 * [taylor]: Taking taylor expansion of +nan.0 in im 2.056 * * * [progress]: simplifying candidates 2.057 * [simplify]: Simplifying using # : (expm1 (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (exp (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp re)) (log (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (cbrt (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (* (* (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (sqrt (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (+ (pow (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 3) (pow re 3)) (+ (* (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- (* re re) (* (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (- (* (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* re re)) (- (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (+ re im) (* 2 re) 0 im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 2.062 * * [simplify]: iteration 0 : 239 enodes (cost 514 ) 2.068 * * [simplify]: iteration 1 : 929 enodes (cost 420 ) 2.091 * * [simplify]: iteration 2 : 5001 enodes (cost 367 ) 2.093 * [simplify]: Simplified to: (expm1 (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (log1p (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (+ re (hypot re im))) (log (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (exp (+ re (hypot re im))) (* (cbrt (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (cbrt (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re))) (cbrt (+ (* (sqrt 1) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re)) (pow (fma (hypot re im) 1 re) 3) (hypot (sqrt (hypot re im)) (pow re 1/2)) (hypot (sqrt (hypot re im)) (pow re 1/2)) (fma (pow re 2) re (pow (* (hypot re im) (sqrt 1)) 3)) (fma (hypot re im) (hypot re im) (fma (* -1 re) (hypot re im) (pow re 2))) (- (* (hypot re im) (hypot re im)) (pow re 2)) (fma -1 re (hypot re im)) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (* 2 (log (sqrt (hypot re im)))) (* 2 (log (sqrt (hypot re im)))) (pow (exp 1) (hypot re im)) (pow (hypot re im) 3) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (pow (hypot re im) 3) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (pow (cbrt (sqrt (hypot re im))) 4) (cbrt (sqrt (hypot re im)))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (sqrt (sqrt (hypot re im))) 3) (sqrt (hypot re im)) (pow (cbrt (sqrt (hypot re im))) 4) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (pow (sqrt (sqrt (hypot re im))) 3) (hypot re im) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) 3) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) 1/2 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) 3) (fabs (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) 1 (sqrt (hypot re im)) 1/2 (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (+ re im) (* 2 re) 0 im re (* -1 re) (fma (- (* re re)) +nan.0 (* +nan.0 (- im (pow im 2)))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) (fma (- (* re re)) +nan.0 (* +nan.0 (- im (pow im 2)))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) (+ (/ +nan.0 re) (- (fma +nan.0 1 (/ +nan.0 (pow re 2))))) 2.094 * * * [progress]: adding candidates to table 2.760 * [progress]: [Phase 3 of 3] Extracting. 2.760 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.762 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.762 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 2.849 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 2.947 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 3.045 * * * [regime]: Found split indices: #