20.233 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (sqrt (fabs (- x y))) 0.030 * * [simplify]: Extracting # 0 : cost 0 0.030 * * [simplify]: Extracting # 1 : cost 0 0.030 * * [simplify]: Extracting # 2 : cost 0 0.030 * * [simplify]: Extracting # 3 : cost 0 0.030 * * [simplify]: Extracting # 4 : cost 0 0.030 * * [simplify]: Extracting # 5 : cost 0 0.030 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: iteration 1 : 7 enodes (cost 5 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: iteration 2 : 8 enodes (cost 5 ) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: iteration done: 8 enodes (cost 5 ) 0.035 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.050 * [backup-simplify]: Simplify (sqrt (fabs (- x y))) into (sqrt (fabs (- x y))) 0.050 * [approximate]: Taking taylor expansion of (sqrt (fabs (- x y))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.050 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.052 * [backup-simplify]: Simplify (fabs (- x y)) into (fabs (- x y)) 0.052 * [backup-simplify]: Simplify (sqrt (fabs (- x y))) into (sqrt (fabs (- x y))) 0.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- x y))))) into 0 0.052 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.052 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.052 * [backup-simplify]: Simplify (fabs (- x y)) into (fabs (- x y)) 0.052 * [backup-simplify]: Simplify (sqrt (fabs (- x y))) into (sqrt (fabs (- x y))) 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- x y))))) into 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in x 0.053 * [taylor]: Taking taylor expansion of (fabs (- x y)) in x 0.053 * [backup-simplify]: Simplify (fabs (- x y)) into (fabs (- x y)) 0.053 * [backup-simplify]: Simplify (sqrt (fabs (- x y))) into (sqrt (fabs (- x y))) 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- x y))))) into 0 0.053 * [taylor]: Taking taylor expansion of (sqrt (fabs (- x y))) in y 0.053 * [taylor]: Taking taylor expansion of (fabs (- x y)) in y 0.053 * [backup-simplify]: Simplify (fabs (- x y)) into (fabs (- x y)) 0.053 * [backup-simplify]: Simplify (sqrt (fabs (- x y))) into (sqrt (fabs (- x y))) 0.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- x y))))) into 0 0.053 * [backup-simplify]: Simplify (sqrt (fabs (- x y))) into (sqrt (fabs (- x y))) 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.054 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- x y))))) into 0 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.055 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- x y))))) into 0 0.056 * [backup-simplify]: Simplify 0 into 0 0.056 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fabs (- x y))))) into 0 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify 0 into 0 0.057 * [backup-simplify]: Simplify (sqrt (fabs (- x y))) into (sqrt (fabs (- x y))) 0.057 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 x) (/ 1 y)))) into (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 0.057 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.057 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.057 * [backup-simplify]: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) 0.057 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 x) (/ 1 y)))) into (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 0.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- (/ 1 x) (/ 1 y)))))) into 0 0.057 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.058 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.058 * [backup-simplify]: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) 0.058 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 x) (/ 1 y)))) into (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 0.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- (/ 1 x) (/ 1 y)))))) into 0 0.058 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in x 0.058 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.058 * [backup-simplify]: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) 0.058 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 x) (/ 1 y)))) into (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- (/ 1 x) (/ 1 y)))))) into 0 0.059 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 x) (/ 1 y)))) in y 0.059 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.059 * [backup-simplify]: Simplify (fabs (- (/ 1 x) (/ 1 y))) into (fabs (- (/ 1 x) (/ 1 y))) 0.059 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 x) (/ 1 y)))) into (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- (/ 1 x) (/ 1 y)))))) into 0 0.059 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 x) (/ 1 y)))) into (sqrt (fabs (- (/ 1 x) (/ 1 y)))) 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.059 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- (/ 1 x) (/ 1 y)))))) into 0 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.060 * [backup-simplify]: Simplify 0 into 0 0.061 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- (/ 1 x) (/ 1 y)))))) into 0 0.061 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fabs (- (/ 1 x) (/ 1 y)))))) into 0 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify 0 into 0 0.062 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (sqrt (fabs (- x y))) 0.063 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 0.063 * [approximate]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.063 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.063 * [backup-simplify]: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) 0.063 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 y) (/ 1 x)))) into (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 0.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- (/ 1 y) (/ 1 x)))))) into 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.063 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.063 * [backup-simplify]: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) 0.064 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 y) (/ 1 x)))) into (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- (/ 1 y) (/ 1 x)))))) into 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in x 0.064 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.064 * [backup-simplify]: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) 0.064 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 y) (/ 1 x)))) into (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 0.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- (/ 1 y) (/ 1 x)))))) into 0 0.064 * [taylor]: Taking taylor expansion of (sqrt (fabs (- (/ 1 y) (/ 1 x)))) in y 0.064 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.065 * [backup-simplify]: Simplify (fabs (- (/ 1 y) (/ 1 x))) into (fabs (- (/ 1 y) (/ 1 x))) 0.065 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 y) (/ 1 x)))) into (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 0.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (fabs (- (/ 1 y) (/ 1 x)))))) into 0 0.065 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 y) (/ 1 x)))) into (sqrt (fabs (- (/ 1 y) (/ 1 x)))) 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.065 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- (/ 1 y) (/ 1 x)))))) into 0 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.066 * [backup-simplify]: Simplify 0 into 0 0.067 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (fabs (- (/ 1 y) (/ 1 x)))))) into 0 0.067 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (fabs (- (/ 1 y) (/ 1 x)))))) into 0 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify 0 into 0 0.068 * [backup-simplify]: Simplify (sqrt (fabs (- (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (sqrt (fabs (- x y))) 0.068 * * * [progress]: simplifying candidates 0.069 * [simplify]: Simplifying: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (* (* (sqrt (fabs (- x y))) (sqrt (fabs (- x y)))) (sqrt (fabs (- x y)))) (sqrt (* (cbrt (fabs (- x y))) (cbrt (fabs (- x y))))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt 1) (sqrt (fabs (- x y))) (/ 1 2) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 0.069 * * [simplify]: Extracting # 0 : cost 0 0.069 * * [simplify]: Extracting # 1 : cost 0 0.069 * * [simplify]: Extracting # 2 : cost 0 0.070 * * [simplify]: Extracting # 3 : cost 0 0.070 * * [simplify]: Extracting # 4 : cost 0 0.070 * * [simplify]: Extracting # 5 : cost 0 0.070 * * [simplify]: Extracting # 6 : cost 0 0.070 * * [simplify]: Extracting # 7 : cost 0 0.070 * * [simplify]: iteration 0 : 22 enodes (cost 127 ) 0.076 * * [simplify]: Extracting # 0 : cost 0 0.076 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: iteration 1 : 29 enodes (cost 111 ) 0.082 * * [simplify]: Extracting # 0 : cost 0 0.082 * * [simplify]: Extracting # 1 : cost 0 0.082 * * [simplify]: Extracting # 2 : cost 0 0.082 * * [simplify]: Extracting # 3 : cost 0 0.083 * * [simplify]: iteration 2 : 33 enodes (cost 108 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.090 * * [simplify]: Extracting # 3 : cost 0 0.090 * * [simplify]: iteration 3 : 37 enodes (cost 108 ) 0.099 * * [simplify]: Extracting # 0 : cost 0 0.099 * * [simplify]: Extracting # 1 : cost 0 0.099 * * [simplify]: Extracting # 2 : cost 0 0.099 * * [simplify]: Extracting # 3 : cost 0 0.099 * * [simplify]: Extracting # 4 : cost 0 0.099 * * [simplify]: iteration 4 : 43 enodes (cost 108 ) 0.109 * * [simplify]: Extracting # 0 : cost 0 0.109 * * [simplify]: Extracting # 1 : cost 0 0.109 * * [simplify]: Extracting # 2 : cost 0 0.109 * * [simplify]: Extracting # 3 : cost 0 0.109 * * [simplify]: Extracting # 4 : cost 0 0.109 * * [simplify]: iteration 5 : 53 enodes (cost 108 ) 0.117 * * [simplify]: Extracting # 0 : cost 0 0.117 * * [simplify]: Extracting # 1 : cost 0 0.117 * * [simplify]: Extracting # 2 : cost 0 0.117 * * [simplify]: Extracting # 3 : cost 0 0.117 * * [simplify]: Extracting # 4 : cost 0 0.117 * * [simplify]: iteration 6 : 74 enodes (cost 108 ) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.132 * * [simplify]: Extracting # 1 : cost 0 0.132 * * [simplify]: Extracting # 2 : cost 0 0.138 * * [simplify]: Extracting # 3 : cost 0 0.138 * * [simplify]: iteration 7 : 139 enodes (cost 108 ) 0.227 * * [simplify]: Extracting # 0 : cost 0 0.227 * * [simplify]: Extracting # 1 : cost 0 0.228 * * [simplify]: Extracting # 2 : cost 0 0.228 * * [simplify]: Extracting # 3 : cost 0 0.228 * * [simplify]: iteration 8 : 431 enodes (cost 108 ) 1.058 * * [simplify]: Extracting # 0 : cost 0 1.059 * * [simplify]: Extracting # 1 : cost 0 1.060 * * [simplify]: Extracting # 2 : cost 0 1.061 * * [simplify]: Extracting # 3 : cost 0 1.063 * * [simplify]: Extracting # 4 : cost 0 1.065 * * [simplify]: iteration 9 : 1844 enodes (cost 108 ) 2.075 * * [simplify]: Extracting # 0 : cost 0 2.086 * * [simplify]: Extracting # 1 : cost 0 2.096 * * [simplify]: Extracting # 2 : cost 0 2.102 * * [simplify]: Extracting # 3 : cost 0 2.107 * * [simplify]: iteration done: 5000 enodes (cost 108 ) 2.107 * [simplify]: Simplified to: (expm1 (sqrt (fabs (- x y)))) (log1p (sqrt (fabs (- x y)))) (log (sqrt (fabs (- x y)))) (exp (sqrt (fabs (- x y)))) (* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y))))) (cbrt (sqrt (fabs (- x y)))) (pow (sqrt (fabs (- x y))) 3) (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) 1 (sqrt (fabs (- x y))) 1/2 (sqrt (sqrt (fabs (- x y)))) (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) (sqrt (fabs (- x y))) 2.108 * * * [progress]: adding candidates to table 2.152 * [progress]: [Phase 3 of 3] Extracting. 2.154 * [simplify]: Simplifying: (sqrt (fabs (- x y))) 2.155 * * [simplify]: Extracting # 0 : cost 0 2.155 * * [simplify]: Extracting # 1 : cost 0 2.155 * * [simplify]: Extracting # 2 : cost 0 2.155 * * [simplify]: Extracting # 3 : cost 0 2.155 * * [simplify]: Extracting # 4 : cost 0 2.155 * * [simplify]: Extracting # 5 : cost 0 2.155 * * [simplify]: iteration 0 : 5 enodes (cost 5 ) 2.155 * * [simplify]: Extracting # 0 : cost 0 2.155 * * [simplify]: iteration done: 5 enodes (cost 5 ) 2.155 * [simplify]: Simplified to: (sqrt (fabs (- x y))) 3.101 * [regime-testing]: Baseline error score: 0.008876109513689211 3.103 * [regime-testing]: Oracle error score: 0.008876109513689211 3.103 * [regime-testing]: End program error score: 0.008876109513689211