8.276 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (+ (* re re) (* im im))) 0.015 * * [simplify]: iteration 0 : 6 enodes (cost 8 ) 0.015 * * [simplify]: iteration 1 : 7 enodes (cost 8 ) 0.016 * * [simplify]: iteration done : 7 enodes (cost 8 ) 0.016 * [simplify]: Simplified to: (sqrt (+ (* re re) (* im im))) 0.017 * * [progress]: iteration 1 / 4 0.017 * * * [progress]: picking best candidate 0.019 * * * * [pick]: Picked # 0.019 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.031 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.034 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.034 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.034 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.034 * [taylor]: Taking taylor expansion of re in im 0.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.034 * [taylor]: Taking taylor expansion of im in im 0.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.035 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.035 * [taylor]: Taking taylor expansion of re in re 0.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.035 * [taylor]: Taking taylor expansion of im in re 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.036 * [taylor]: Taking taylor expansion of re in re 0.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.036 * [taylor]: Taking taylor expansion of im in re 0.037 * [taylor]: Taking taylor expansion of im in im 0.037 * [taylor]: Taking taylor expansion of 0 in im 0.038 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.038 * [taylor]: Taking taylor expansion of 1/2 in im 0.038 * [taylor]: Taking taylor expansion of im in im 0.040 * [taylor]: Taking taylor expansion of 0 in im 0.041 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.041 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.041 * [taylor]: Taking taylor expansion of im in im 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.042 * [taylor]: Taking taylor expansion of re in im 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) 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 (/ 1 (pow re 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 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.047 * [taylor]: Taking taylor expansion of im in re 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.047 * [taylor]: Taking taylor expansion of re in re 0.049 * [taylor]: Taking taylor expansion of 1 in im 0.049 * [taylor]: Taking taylor expansion of 0 in im 0.052 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.052 * [taylor]: Taking taylor expansion of 1/2 in im 0.052 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.052 * [taylor]: Taking taylor expansion of im in im 0.055 * [taylor]: Taking taylor expansion of 0 in im 0.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.056 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.056 * [taylor]: Taking taylor expansion of im in im 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.057 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.057 * [taylor]: Taking taylor expansion of re in im 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.059 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.059 * [taylor]: Taking taylor expansion of im in re 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.059 * [taylor]: Taking taylor expansion of re in re 0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.062 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.062 * [taylor]: Taking taylor expansion of im in re 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.062 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.062 * [taylor]: Taking taylor expansion of re in re 0.065 * [taylor]: Taking taylor expansion of 1 in im 0.065 * [taylor]: Taking taylor expansion of 0 in im 0.067 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.067 * [taylor]: Taking taylor expansion of 1/2 in im 0.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.067 * [taylor]: Taking taylor expansion of im in im 0.071 * [taylor]: Taking taylor expansion of 0 in im 0.072 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.072 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.072 * [taylor]: Taking taylor expansion of re in im 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.072 * [taylor]: Taking taylor expansion of re in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.072 * [taylor]: Taking taylor expansion of im in re 0.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.072 * [taylor]: Taking taylor expansion of im in im 0.073 * [taylor]: Taking taylor expansion of 0 in im 0.074 * [taylor]: Taking taylor expansion of 1 in im 0.075 * [taylor]: Taking taylor expansion of 0 in im 0.077 * [taylor]: Taking taylor expansion of 0 in im 0.077 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.077 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.077 * [taylor]: Taking taylor expansion of im in im 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.078 * [taylor]: Taking taylor expansion of re in im 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.078 * [taylor]: Taking taylor expansion of im in re 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.078 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.078 * [taylor]: Taking taylor expansion of re in re 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.079 * [taylor]: Taking taylor expansion of im in re 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.079 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.079 * [taylor]: Taking taylor expansion of re in re 0.080 * [taylor]: Taking taylor expansion of 1 in im 0.081 * [taylor]: Taking taylor expansion of 0 in im 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.082 * [taylor]: Taking taylor expansion of im in im 0.084 * [taylor]: Taking taylor expansion of 0 in im 0.087 * [taylor]: Taking taylor expansion of 0 in im 0.089 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 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 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.089 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.089 * [taylor]: Taking taylor expansion of re in im 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.089 * [taylor]: Taking taylor expansion of im in re 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.089 * [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 (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 0.091 * [taylor]: Taking taylor expansion of 1 in im 0.092 * [taylor]: Taking taylor expansion of 0 in im 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow im 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 0.095 * [taylor]: Taking taylor expansion of 0 in im 0.098 * [taylor]: Taking taylor expansion of 0 in im 0.100 * * * [progress]: simplifying candidates 0.100 * [simplify]: Simplifying using # : (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* 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)) 0.102 * * [simplify]: iteration 0 : 48 enodes (cost 379 ) 0.115 * * [simplify]: iteration 1 : 125 enodes (cost 347 ) 0.141 * * [simplify]: iteration 2 : 439 enodes (cost 295 ) 0.299 * * [simplify]: iteration 3 : 1646 enodes (cost 295 ) 0.989 * * [simplify]: iteration done : 5000 enodes (cost 295 ) 0.989 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.989 * * * [progress]: adding candidates to table 1.058 * * [progress]: iteration 2 / 4 1.058 * * * [progress]: picking best candidate 1.063 * * * * [pick]: Picked # 1.063 * * * [progress]: localizing error 1.063 * * * [progress]: generating rewritten candidates 1.064 * * * [progress]: generating series expansions 1.064 * * * [progress]: simplifying candidates 1.064 * [simplify]: Simplifying using # : 1.065 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.065 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.065 * [simplify]: Simplified to: 1.065 * * * [progress]: adding candidates to table 1.065 * * [progress]: iteration 3 / 4 1.065 * * * [progress]: picking best candidate 1.067 * * * * [pick]: Picked # 1.067 * * * [progress]: localizing error 1.068 * * * [progress]: generating rewritten candidates 1.068 * * * [progress]: generating series expansions 1.068 * * * [progress]: simplifying candidates 1.069 * [simplify]: Simplifying using # : 1.069 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.069 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.069 * [simplify]: Simplified to: 1.070 * * * [progress]: adding candidates to table 1.070 * * [progress]: iteration 4 / 4 1.070 * * * [progress]: picking best candidate 1.071 * * * * [pick]: Picked # 1.071 * * * [progress]: localizing error 1.071 * * * [progress]: generating rewritten candidates 1.071 * * * [progress]: generating series expansions 1.071 * * * [progress]: simplifying candidates 1.071 * [simplify]: Simplifying using # : 1.072 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.072 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.072 * [simplify]: Simplified to: 1.072 * * * [progress]: adding candidates to table 1.073 * [progress]: [Phase 3 of 3] Extracting. 1.073 * * [regime]: Finding splitpoints for: (# # # #) 1.073 * * * [regime-changes]: Trying 6 branch expressions: ((* im im) (* re re) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) im re) 1.073 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 1.095 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 1.117 * * * * [regimes]: Trying to branch on (* re re) from (# # # #) 1.136 * * * * [regimes]: Trying to branch on (* re re) from (# #) 1.146 * * * * [regimes]: Trying to branch on (+ (* re re) (* im im)) from (# # # #) 1.169 * * * * [regimes]: Trying to branch on (sqrt (+ (* re re) (* im im))) from (# # # #) 1.194 * * * * [regimes]: Trying to branch on im from (# # # #) 1.237 * * * * [regimes]: Trying to branch on re from (# # # #) 1.271 * * * [regime]: Found split indices: #