8.940 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (/ x x) (* (/ 1.0 x) (sqrt (* x x)))) 0.030 * * [simplify]: iteration 0 : 15 enodes (cost 5 ) 0.032 * * [simplify]: iteration 1 : 30 enodes (cost 5 ) 0.034 * * [simplify]: iteration 2 : 43 enodes (cost 4 ) 0.035 * * [simplify]: iteration 3 : 50 enodes (cost 4 ) 0.037 * * [simplify]: iteration 4 : 56 enodes (cost 4 ) 0.039 * * [simplify]: iteration 5 : 62 enodes (cost 4 ) 0.041 * * [simplify]: iteration 6 : 64 enodes (cost 4 ) 0.043 * * [simplify]: iteration 7 : 64 enodes (cost 4 ) 0.043 * [simplify]: Simplified to: (fma (- (/ 1.0 x)) (fabs x) 1) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.064 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.072 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.085 * [approximate]: Taking taylor expansion of x in (x) around 0 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.090 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.094 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.094 * [approximate]: Taking taylor expansion of 0 in (x) around 0 0.094 * [taylor]: Taking taylor expansion of 0 in x 0.094 * [taylor]: Taking taylor expansion of 0 in x 0.094 * [approximate]: Taking taylor expansion of 0 in (x) around 0 0.094 * [taylor]: Taking taylor expansion of 0 in x 0.094 * [taylor]: Taking taylor expansion of 0 in x 0.094 * [approximate]: Taking taylor expansion of 2.0 in (x) around 0 0.094 * [taylor]: Taking taylor expansion of 2.0 in x 0.094 * [taylor]: Taking taylor expansion of 2.0 in x 0.094 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.095 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [approximate]: Taking taylor expansion of -1.0 in (x) around 0 0.095 * [taylor]: Taking taylor expansion of -1.0 in x 0.095 * [taylor]: Taking taylor expansion of -1.0 in x 0.095 * * * [progress]: simplifying candidates 0.096 * [simplify]: Simplifying using # : (expm1 (sqrt (* x x))) (log1p (sqrt (* x x))) (log (sqrt (* x x))) (exp (sqrt (* x x))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) (cbrt (sqrt (* x x))) (* (* (sqrt (* x x)) (sqrt (* x x))) (sqrt (* x x))) (sqrt x) (sqrt x) (/ (+ 1 1) 2) (/ 1 2) (/ 2 2) (/ (+ 1 1) 2) (/ 1 2) (/ (* 2 1) 2) (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) (fma (* (cbrt (/ x x)) (cbrt (/ x x))) (cbrt (/ x x)) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (sqrt (/ x x)) (sqrt (/ x x)) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (/ (cbrt x) (cbrt x)) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ (* (cbrt x) (cbrt x)) (sqrt x)) (/ (cbrt x) (sqrt x)) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) x) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ (sqrt x) (* (cbrt x) (cbrt x))) (/ (sqrt x) (cbrt x)) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ (sqrt x) (sqrt x)) (/ (sqrt x) (sqrt x)) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ (sqrt x) 1) (/ (sqrt x) x) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ 1 (* (cbrt x) (cbrt x))) (/ x (cbrt x)) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ 1 (sqrt x)) (/ x (sqrt x)) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma (/ 1 1) (/ x x) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma 1 (/ x x) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (fma x (/ 1 x) (- (* (sqrt (* x x)) (/ 1.0 x)))) (fma (- (sqrt (* x x))) (/ 1.0 x) (* (sqrt (* x x)) (/ 1.0 x))) (expm1 (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (log1p (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (/ (exp (/ x x)) (exp (* (/ 1.0 x) (sqrt (* x x))))) (log (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (exp (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (* (cbrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (cbrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x)))))) (cbrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (* (* (- (/ x x) (* (/ 1.0 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (sqrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (sqrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (- x (* 1.0 (sqrt (* x x)))) (- (* x x) (* x (* 1.0 (sqrt (* x x))))) (* x x) (- (pow (/ x x) 3) (pow (* (/ 1.0 x) (sqrt (* x x))) 3)) (+ (* (/ x x) (/ x x)) (+ (* (* (/ 1.0 x) (sqrt (* x x))) (* (/ 1.0 x) (sqrt (* x x)))) (* (/ x x) (* (/ 1.0 x) (sqrt (* x x)))))) (- (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ x x) (/ x x)) (* (* (/ 1.0 x) (sqrt (* x x))) (* (/ 1.0 x) (sqrt (* x x))))) (+ (/ x x) (* (/ 1.0 x) (sqrt (* x x)))) (- (* (/ 1.0 x) (sqrt (* x x)))) (expm1 (* (/ 1.0 x) (sqrt (* x x)))) (log1p (* (/ 1.0 x) (sqrt (* x x)))) (* (/ 1.0 x) (sqrt (* x x))) (+ (- (log 1.0) (log x)) (log (sqrt (* x x)))) (+ (log (/ 1.0 x)) (log (sqrt (* x x)))) (log (* (/ 1.0 x) (sqrt (* x x)))) (exp (* (/ 1.0 x) (sqrt (* x x)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* x x) x)) (* (* (sqrt (* x x)) (sqrt (* x x))) (sqrt (* x x)))) (* (* (* (/ 1.0 x) (/ 1.0 x)) (/ 1.0 x)) (* (* (sqrt (* x x)) (sqrt (* x x))) (sqrt (* x x)))) (* (cbrt (* (/ 1.0 x) (sqrt (* x x)))) (cbrt (* (/ 1.0 x) (sqrt (* x x))))) (cbrt (* (/ 1.0 x) (sqrt (* x x)))) (* (* (* (/ 1.0 x) (sqrt (* x x))) (* (/ 1.0 x) (sqrt (* x x)))) (* (/ 1.0 x) (sqrt (* x x)))) (sqrt (* (/ 1.0 x) (sqrt (* x x)))) (sqrt (* (/ 1.0 x) (sqrt (* x x)))) (* (sqrt (/ 1.0 x)) (sqrt x)) (* (sqrt (/ 1.0 x)) (sqrt x)) (* (sqrt (/ 1.0 x)) (sqrt (sqrt (* x x)))) (* (sqrt (/ 1.0 x)) (sqrt (sqrt (* x x)))) (* (/ (sqrt 1.0) (sqrt x)) (sqrt x)) (* (/ (sqrt 1.0) (sqrt x)) (sqrt x)) (* (/ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (* x x)))) (* (/ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (* x x)))) (* (/ 1.0 x) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))))) (* (/ 1.0 x) (sqrt x)) (* (/ 1.0 x) (sqrt (sqrt (* x x)))) (* (/ 1.0 x) 1) (* (cbrt (/ 1.0 x)) (sqrt (* x x))) (* (sqrt (/ 1.0 x)) (sqrt (* x x))) (* (/ (cbrt 1.0) (cbrt x)) (sqrt (* x x))) (* (/ (cbrt 1.0) (sqrt x)) (sqrt (* x x))) (* (/ (cbrt 1.0) x) (sqrt (* x x))) (* (/ (sqrt 1.0) (cbrt x)) (sqrt (* x x))) (* (/ (sqrt 1.0) (sqrt x)) (sqrt (* x x))) (* (/ (sqrt 1.0) x) (sqrt (* x x))) (* (/ 1.0 (cbrt x)) (sqrt (* x x))) (* (/ 1.0 (sqrt x)) (sqrt (* x x))) (* (/ 1.0 x) (sqrt (* x x))) (* (/ 1.0 x) (sqrt (* x x))) (* (/ 1 x) (sqrt (* x x))) (* 1.0 (sqrt (* x x))) x x (* -1 x) 0 0 2.0 1.0 1.0 -1.0 0.103 * * [simplify]: iteration 0 : 336 enodes (cost 672 ) 0.111 * * [simplify]: iteration 1 : 1694 enodes (cost 550 ) 0.163 * * [simplify]: iteration 2 : 5001 enodes (cost 522 ) 0.167 * [simplify]: Simplified to: (expm1 (sqrt (* x x))) (log1p (sqrt (* x x))) (log (sqrt (* x x))) (pow E (fabs x)) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) (cbrt (sqrt (* x x))) (pow (fabs x) 3) (sqrt x) (sqrt x) 1 1/2 1 1 1/2 1 (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (fma (/ (* (cbrt x) (cbrt x)) (sqrt x)) (/ (cbrt x) (sqrt x)) (* (- (/ 1.0 x)) (fabs x))) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (fma (/ (sqrt x) (* (cbrt x) (cbrt x))) (/ (sqrt x) (cbrt x)) (* (- (/ 1.0 x)) (fabs x))) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (- 1 (/ (* (fabs x) 1.0) x)) (* (fabs x) (+ (- (/ 1.0 x)) (/ 1.0 x))) (expm1 (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (log1p (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (* (- (/ 1.0 x)) (fabs x)) (exp (- 1 (/ (* (fabs x) 1.0) x))) (log1p (* (- (/ 1.0 x)) (fabs x))) (exp (- 1 (/ (* (fabs x) 1.0) x))) (* (cbrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (cbrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x)))))) (cbrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (pow (- 1 (/ (* (fabs x) 1.0) x)) 3) (sqrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (sqrt (- (/ x x) (* (/ 1.0 x) (sqrt (* x x))))) (fma (- 1.0) (fabs x) x) (* x (- x (* 1.0 (sqrt (* x x))))) (* x x) (- 1 (pow (/ (* (fabs x) 1.0) x) 3)) (fma (fma (/ 1.0 x) (fabs x) 1) (/ (* (fabs x) 1.0) x) 1) (* (- (/ 1.0 x)) (fabs x)) (- 1 (* (* (/ 1.0 x) (/ 1.0 x)) (* x x))) (fma (/ 1.0 x) (fabs x) 1) (* (- (/ 1.0 x)) (fabs x)) (expm1 (* (/ 1.0 x) (sqrt (* x x)))) (log1p (* (/ 1.0 x) (sqrt (* x x)))) (/ (* (fabs x) 1.0) x) (log (/ (* (fabs x) 1.0) x)) (log (/ (* (fabs x) 1.0) x)) (log (/ (* (fabs x) 1.0) x)) (pow (exp (/ 1.0 x)) (fabs x)) (pow (/ (* (fabs x) 1.0) x) 3) (pow (/ (* (fabs x) 1.0) x) 3) (* (cbrt (* (/ 1.0 x) (sqrt (* x x)))) (cbrt (* (/ 1.0 x) (sqrt (* x x))))) (cbrt (* (/ 1.0 x) (sqrt (* x x)))) (pow (/ (* (fabs x) 1.0) x) 3) (sqrt (* (/ 1.0 x) (sqrt (* x x)))) (sqrt (* (/ 1.0 x) (sqrt (* x x)))) (* (sqrt (/ 1.0 x)) (sqrt x)) (* (sqrt (/ 1.0 x)) (sqrt x)) (* (sqrt (/ 1.0 x)) (sqrt (sqrt (* x x)))) (* (sqrt (/ 1.0 x)) (sqrt (sqrt (* x x)))) (* (/ (sqrt 1.0) (sqrt x)) (sqrt x)) (* (/ (sqrt 1.0) (sqrt x)) (sqrt x)) (* (/ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (* x x)))) (* (/ (sqrt 1.0) (sqrt x)) (sqrt (sqrt (* x x)))) (* (/ 1.0 x) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x))))) (/ 1.0 (sqrt x)) (* (/ 1.0 x) (sqrt (sqrt (* x x)))) (/ 1.0 x) (* (fabs x) (cbrt (/ 1.0 x))) (* (fabs x) (sqrt (/ 1.0 x))) (/ (* (cbrt 1.0) (fabs x)) (cbrt x)) (/ (* (cbrt 1.0) (fabs x)) (sqrt x)) (/ (* (cbrt 1.0) (fabs x)) x) (/ (* (sqrt 1.0) (fabs x)) (cbrt x)) (/ (* (sqrt 1.0) (fabs x)) (sqrt x)) (/ (* (sqrt 1.0) (fabs x)) x) (* (fabs x) (/ 1.0 (cbrt x))) (* (fabs x) (/ 1.0 (sqrt x))) (/ (* (fabs x) 1.0) x) (/ (* (fabs x) 1.0) x) (/ (fabs x) x) (* (fabs x) 1.0) x x (* -1 x) 0 0 2.0 1.0 1.0 -1.0 0.168 * * * [progress]: adding candidates to table 0.350 * * [progress]: iteration 2 / 4 0.350 * * * [progress]: picking best candidate 0.352 * * * * [pick]: Picked # 0.352 * * * [progress]: localizing error 0.358 * * * [progress]: generating rewritten candidates 0.358 * * * [progress]: generating series expansions 0.358 * * * [progress]: simplifying candidates 0.358 * [simplify]: Simplifying using # : 0.360 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.360 * [simplify]: Simplified to: 0.360 * * * [progress]: adding candidates to table 0.361 * [progress]: [Phase 3 of 3] Extracting. 0.362 * [simplify]: Simplifying using # : (/ (fma (- 1.0) (fabs x) x) x) 0.363 * * [simplify]: iteration 0 : 6 enodes (cost 4 ) 0.363 * [simplify]: Simplified to: (/ (fma (- 1.0) (fabs x) x) x) 1.171 * [regime-testing]: End program error score: 0.008001000125015627 1.187 * [regime-testing]: Target error score: 0