11.095 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) 0.019 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.021 * * [simplify]: iteration 1 : 12 enodes (cost 5 ) 0.022 * * [simplify]: iteration 2 : 12 enodes (cost 5 ) 0.022 * [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 # 0.025 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.036 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.036 * [taylor]: Taking taylor expansion of re in im 0.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.037 * [taylor]: Taking taylor expansion of im in im 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.041 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.041 * [taylor]: Taking taylor expansion of re in re 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.041 * [taylor]: Taking taylor expansion of im in re 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.042 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.042 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.042 * [taylor]: Taking taylor expansion of re in re 0.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.042 * [taylor]: Taking taylor expansion of im in re 0.043 * [taylor]: Taking taylor expansion of im in im 0.043 * [taylor]: Taking taylor expansion of 0 in im 0.044 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.044 * [taylor]: Taking taylor expansion of 1/2 in im 0.044 * [taylor]: Taking taylor expansion of im in im 0.047 * [taylor]: Taking taylor expansion of 0 in im 0.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.048 * [taylor]: Taking taylor expansion of im in im 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.048 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.048 * [taylor]: Taking taylor expansion of re in im 0.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.051 * [taylor]: Taking taylor expansion of im in re 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.051 * [taylor]: Taking taylor expansion of re in re 0.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.053 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.053 * [taylor]: Taking taylor expansion of im in re 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.054 * [taylor]: Taking taylor expansion of re in re 0.056 * [taylor]: Taking taylor expansion of 1 in im 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.058 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.058 * [taylor]: Taking taylor expansion of 1/2 in im 0.058 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.058 * [taylor]: Taking taylor expansion of im in im 0.062 * [taylor]: Taking taylor expansion of 0 in im 0.063 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.063 * [taylor]: Taking taylor expansion of im in im 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.064 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.064 * [taylor]: Taking taylor expansion of re in im 0.066 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.066 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.066 * [taylor]: Taking taylor expansion of im in re 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.066 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.066 * [taylor]: Taking taylor expansion of re in re 0.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.069 * [taylor]: Taking taylor expansion of im in re 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.069 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.069 * [taylor]: Taking taylor expansion of re in re 0.071 * [taylor]: Taking taylor expansion of 1 in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.073 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.073 * [taylor]: Taking taylor expansion of 1/2 in im 0.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.073 * [taylor]: Taking taylor expansion of im in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.078 * * * [progress]: simplifying candidates 0.078 * [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)))) im re (* -1 re) 0.081 * * [simplify]: iteration 0 : 98 enodes (cost 103 ) 0.084 * * [simplify]: iteration 1 : 254 enodes (cost 98 ) 0.088 * * [simplify]: iteration 2 : 607 enodes (cost 98 ) 0.100 * * [simplify]: iteration 3 : 1592 enodes (cost 98 ) 0.131 * * [simplify]: iteration 4 : 5002 enodes (cost 98 ) 0.132 * [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)))) im re (* -1 re) 0.132 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.195 * * * [progress]: generating rewritten candidates 0.195 * * * [progress]: generating series expansions 0.195 * * * [progress]: simplifying candidates 0.195 * [simplify]: Simplifying using # : 0.197 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.197 * [simplify]: Simplified to: 0.197 * * * [progress]: adding candidates to table 0.197 * [progress]: [Phase 3 of 3] Extracting. 0.199 * [simplify]: Simplifying using # : (log (hypot re im)) 0.200 * * [simplify]: iteration 0 : 4 enodes (cost 2 ) 0.200 * [simplify]: Simplified to: (log (hypot re im)) 0.699 * [regime-testing]: End program error score: 0.00012501562695336918