10.904 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.016 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.020 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.021 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.021 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.031 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.043 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.043 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.043 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.043 * [taylor]: Taking taylor expansion of re in im 0.043 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.043 * [taylor]: Taking taylor expansion of im in im 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.044 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.044 * [taylor]: Taking taylor expansion of re in re 0.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.044 * [taylor]: Taking taylor expansion of im in re 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.044 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.044 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.044 * [taylor]: Taking taylor expansion of re in re 0.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.044 * [taylor]: Taking taylor expansion of im in re 0.045 * [taylor]: Taking taylor expansion of im in im 0.045 * [taylor]: Taking taylor expansion of 0 in im 0.046 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.046 * [taylor]: Taking taylor expansion of 1/2 in im 0.047 * [taylor]: Taking taylor expansion of im in im 0.049 * [taylor]: Taking taylor expansion of 0 in im 0.049 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.049 * [taylor]: Taking taylor expansion of im in im 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.050 * [taylor]: Taking taylor expansion of re in im 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.052 * [taylor]: Taking taylor expansion of im in re 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.052 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.052 * [taylor]: Taking taylor expansion of re in re 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.055 * [taylor]: Taking taylor expansion of im in re 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.055 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.055 * [taylor]: Taking taylor expansion of re in re 0.057 * [taylor]: Taking taylor expansion of 1 in im 0.057 * [taylor]: Taking taylor expansion of 0 in im 0.059 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.060 * [taylor]: Taking taylor expansion of 1/2 in im 0.060 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.060 * [taylor]: Taking taylor expansion of im in im 0.063 * [taylor]: Taking taylor expansion of 0 in im 0.064 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.064 * [taylor]: Taking taylor expansion of im in im 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.065 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.065 * [taylor]: Taking taylor expansion of re in im 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.067 * [taylor]: Taking taylor expansion of im in re 0.068 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.068 * [taylor]: Taking taylor expansion of re in re 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.070 * [taylor]: Taking taylor expansion of im in re 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.070 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.070 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of 1 in im 0.072 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.074 * [taylor]: Taking taylor expansion of 1/2 in im 0.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.075 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of 0 in im 0.079 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 0.079 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.079 * [taylor]: Taking taylor expansion of re in im 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.079 * [taylor]: Taking taylor expansion of im in im 0.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.080 * [taylor]: Taking taylor expansion of re in re 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.080 * [taylor]: Taking taylor expansion of im in re 0.080 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.080 * [taylor]: Taking taylor expansion of im in im 0.080 * [taylor]: Taking taylor expansion of 0 in im 0.081 * [taylor]: Taking taylor expansion of 1 in im 0.082 * [taylor]: Taking taylor expansion of 0 in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.085 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.085 * [taylor]: Taking taylor expansion of im in im 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.085 * [taylor]: Taking taylor expansion of re in im 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.085 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.085 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.086 * [taylor]: Taking taylor expansion of im in re 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.086 * [taylor]: Taking taylor expansion of re in re 0.087 * [taylor]: Taking taylor expansion of 1 in im 0.088 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.089 * [taylor]: Taking taylor expansion of im in im 0.091 * [taylor]: Taking taylor expansion of 0 in im 0.094 * [taylor]: Taking taylor expansion of 0 in im 0.095 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.095 * [taylor]: Taking taylor expansion of im in im 0.096 * [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 (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 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.097 * [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 0.098 * [taylor]: Taking taylor expansion of 1 in im 0.099 * [taylor]: Taking taylor expansion of 0 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 0.102 * [taylor]: Taking taylor expansion of 0 in im 0.104 * [taylor]: Taking taylor expansion of 0 in im 0.105 * * * [progress]: simplifying candidates 0.106 * [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 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.109 * * [simplify]: iteration 0 : 136 enodes (cost 177 ) 0.113 * * [simplify]: iteration 1 : 589 enodes (cost 162 ) 0.121 * * [simplify]: iteration 2 : 1761 enodes (cost 158 ) 0.158 * * [simplify]: iteration 3 : 5002 enodes (cost 156 ) 0.159 * [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)))) 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 (+ (* re re) (* im im))) (log1p (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (hypot re im) 6) (hypot re im) (hypot re im) (fma im (pow im 5) (pow re 6)) (fma im (- (pow im 3) (* (pow re 2) im)) (pow re 4)) (fma (- (pow im 3)) im (pow re 4)) (- (* re re) (* im im)) im re (* -1 re) (fma re re (* im im)) (fma re re (* im im)) (fma re re (* im im)) 0.159 * * * [progress]: adding candidates to table 0.255 * * [progress]: iteration 2 / 4 0.255 * * * [progress]: picking best candidate 0.256 * * * * [pick]: Picked # 0.256 * * * [progress]: localizing error 0.262 * * * [progress]: generating rewritten candidates 0.262 * * * [progress]: generating series expansions 0.262 * * * [progress]: simplifying candidates 0.262 * [simplify]: Simplifying using # : 0.264 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.265 * [simplify]: Simplified to: 0.265 * * * [progress]: adding candidates to table 0.265 * [progress]: [Phase 3 of 3] Extracting. 0.267 * [simplify]: Simplifying using # : (log (* 1 (hypot re im))) 0.267 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.268 * * [simplify]: iteration 1 : 11 enodes (cost 3 ) 0.268 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.268 * [simplify]: Simplified to: (log (* 1 (hypot re im))) 0.746 * [regime-testing]: End program error score: 0.00012501562695336918