9.978 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.018 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.019 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration done : 11 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (hypot re im) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.029 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.030 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.030 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.030 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.030 * [taylor]: Taking taylor expansion of (* re re) in im 0.030 * [taylor]: Taking taylor expansion of re in im 0.030 * [taylor]: Taking taylor expansion of re in im 0.030 * [taylor]: Taking taylor expansion of (* im im) in im 0.030 * [taylor]: Taking taylor expansion of im in im 0.030 * [taylor]: Taking taylor expansion of im in im 0.031 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.031 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.031 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.031 * [taylor]: Taking taylor expansion of (* re re) in re 0.031 * [taylor]: Taking taylor expansion of re in re 0.031 * [taylor]: Taking taylor expansion of re in re 0.031 * [taylor]: Taking taylor expansion of (* im im) in re 0.031 * [taylor]: Taking taylor expansion of im in re 0.031 * [taylor]: Taking taylor expansion of im in re 0.033 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.033 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.033 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.033 * [taylor]: Taking taylor expansion of (* re re) in re 0.033 * [taylor]: Taking taylor expansion of re in re 0.033 * [taylor]: Taking taylor expansion of re in re 0.033 * [taylor]: Taking taylor expansion of (* im im) in re 0.033 * [taylor]: Taking taylor expansion of im in re 0.033 * [taylor]: Taking taylor expansion of im in re 0.034 * [taylor]: Taking taylor expansion of im in im 0.034 * [taylor]: Taking taylor expansion of 0 in im 0.036 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.036 * [taylor]: Taking taylor expansion of 1/2 in im 0.036 * [taylor]: Taking taylor expansion of im in im 0.038 * [taylor]: Taking taylor expansion of 0 in im 0.039 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.039 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.039 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.039 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.039 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.039 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.039 * [taylor]: Taking taylor expansion of re in im 0.039 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.039 * [taylor]: Taking taylor expansion of re in im 0.039 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.039 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.039 * [taylor]: Taking taylor expansion of im in im 0.039 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.039 * [taylor]: Taking taylor expansion of im in im 0.042 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.042 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.042 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.042 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.042 * [taylor]: Taking taylor expansion of re in re 0.042 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.043 * [taylor]: Taking taylor expansion of re in re 0.043 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.043 * [taylor]: Taking taylor expansion of im in re 0.043 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.043 * [taylor]: Taking taylor expansion of im in re 0.045 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.046 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.046 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.046 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.046 * [taylor]: Taking taylor expansion of re in re 0.046 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.046 * [taylor]: Taking taylor expansion of im in re 0.046 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.046 * [taylor]: Taking taylor expansion of im in re 0.049 * [taylor]: Taking taylor expansion of 1 in im 0.049 * [taylor]: Taking taylor expansion of 0 in im 0.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.051 * [taylor]: Taking taylor expansion of 1/2 in im 0.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.052 * [taylor]: Taking taylor expansion of im in im 0.056 * [taylor]: Taking taylor expansion of 0 in im 0.057 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.057 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.057 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.057 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.057 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.057 * [taylor]: Taking taylor expansion of -1 in im 0.057 * [taylor]: Taking taylor expansion of re in im 0.057 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.057 * [taylor]: Taking taylor expansion of -1 in im 0.057 * [taylor]: Taking taylor expansion of re in im 0.057 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.057 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.057 * [taylor]: Taking taylor expansion of -1 in im 0.057 * [taylor]: Taking taylor expansion of im in im 0.057 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.058 * [taylor]: Taking taylor expansion of -1 in im 0.058 * [taylor]: Taking taylor expansion of im in im 0.060 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.061 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [taylor]: Taking taylor expansion of re in re 0.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [taylor]: Taking taylor expansion of re in re 0.061 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.061 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [taylor]: Taking taylor expansion of im in re 0.061 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.061 * [taylor]: Taking taylor expansion of -1 in re 0.061 * [taylor]: Taking taylor expansion of im in re 0.064 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.064 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.064 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.064 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.064 * [taylor]: Taking taylor expansion of -1 in re 0.064 * [taylor]: Taking taylor expansion of re in re 0.065 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [taylor]: Taking taylor expansion of re in re 0.065 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.065 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [taylor]: Taking taylor expansion of im in re 0.065 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.065 * [taylor]: Taking taylor expansion of -1 in re 0.065 * [taylor]: Taking taylor expansion of im in re 0.068 * [taylor]: Taking taylor expansion of 1 in im 0.068 * [taylor]: Taking taylor expansion of 0 in im 0.071 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.071 * [taylor]: Taking taylor expansion of 1/2 in im 0.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.071 * [taylor]: Taking taylor expansion of im in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.076 * * * [progress]: simplifying candidates 0.077 * [simplify]: Simplifying using # : (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)) im re (* -1 re) 0.078 * * [simplify]: iteration 0 : 17 enodes (cost 60 ) 0.080 * * [simplify]: iteration 1 : 22 enodes (cost 58 ) 0.082 * * [simplify]: iteration 2 : 25 enodes (cost 52 ) 0.085 * * [simplify]: iteration 3 : 30 enodes (cost 52 ) 0.089 * * [simplify]: iteration 4 : 36 enodes (cost 52 ) 0.096 * * [simplify]: iteration 5 : 46 enodes (cost 52 ) 0.102 * * [simplify]: iteration 6 : 69 enodes (cost 52 ) 0.113 * * [simplify]: iteration 7 : 132 enodes (cost 52 ) 0.155 * * [simplify]: iteration 8 : 345 enodes (cost 52 ) 0.505 * * [simplify]: iteration 9 : 1273 enodes (cost 52 ) 2.579 * * [simplify]: iteration done : 5001 enodes (cost 52 ) 2.579 * [simplify]: Simplified to: (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)) im re (- re) 2.579 * * * [progress]: adding candidates to table 2.606 * [progress]: [Phase 3 of 3] Extracting. 2.608 * [simplify]: Simplifying using # : (hypot re im) 2.608 * * [simplify]: iteration 0 : 3 enodes (cost 3 ) 2.608 * * [simplify]: iteration done : 3 enodes (cost 3 ) 2.608 * [simplify]: Simplified to: (hypot re im) 2.988 * [regime-testing]: End program error score: 0.0032504063007875983