5.030 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (- (* x x) (* y y)) 0.021 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.027 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.030 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.042 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.096 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.097 * [simplify]: Simplified to: (- (* x x) (* y y)) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.098 * * * * [pick]: Picked # 0.098 * * * [progress]: localizing error 0.103 * * * [progress]: generating rewritten candidates 0.103 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.120 * * * [progress]: generating series expansions 0.120 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.120 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of 1 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.140 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.150 * * * [progress]: simplifying candidates 0.153 * [simplify]: Simplifying using # : (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (+ x (sqrt (* y y))) (- x (sqrt (* y y))) (+ x (* (sqrt y) (sqrt y))) (- x (* (sqrt y) (sqrt y))) (+ x (* (sqrt y) (sqrt y))) (- x (* (sqrt y) (sqrt y))) (+ x y) (- x y) (+ (sqrt (* x x)) y) (- (sqrt (* x x)) y) (+ (sqrt (* x x)) (sqrt (* y y))) (- (sqrt (* x x)) (sqrt (* y y))) (+ (sqrt (* x x)) (* (sqrt y) (sqrt y))) (- (sqrt (* x x)) (* (sqrt y) (sqrt y))) (+ (sqrt (* x x)) (* (sqrt y) (sqrt y))) (- (sqrt (* x x)) (* (sqrt y) (sqrt y))) (+ (sqrt (* x x)) y) (- (sqrt (* x x)) y) (+ (* (sqrt x) (sqrt x)) y) (- (* (sqrt x) (sqrt x)) y) (+ (* (sqrt x) (sqrt x)) (sqrt (* y y))) (- (* (sqrt x) (sqrt x)) (sqrt (* y y))) (+ (* (sqrt x) (sqrt x)) (* (sqrt y) (sqrt y))) (- (* (sqrt x) (sqrt x)) (* (sqrt y) (sqrt y))) (+ (* (sqrt x) (sqrt x)) (* (sqrt y) (sqrt y))) (- (* (sqrt x) (sqrt x)) (* (sqrt y) (sqrt y))) (+ (* (sqrt x) (sqrt x)) y) (- (* (sqrt x) (sqrt x)) y) (+ (* (sqrt x) (sqrt x)) y) (- (* (sqrt x) (sqrt x)) y) (+ (* (sqrt x) (sqrt x)) (sqrt (* y y))) (- (* (sqrt x) (sqrt x)) (sqrt (* y y))) (+ (* (sqrt x) (sqrt x)) (* (sqrt y) (sqrt y))) (- (* (sqrt x) (sqrt x)) (* (sqrt y) (sqrt y))) (+ (* (sqrt x) (sqrt x)) (* (sqrt y) (sqrt y))) (- (* (sqrt x) (sqrt x)) (* (sqrt y) (sqrt y))) (+ (* (sqrt x) (sqrt x)) y) (- (* (sqrt x) (sqrt x)) y) (+ x y) (- x y) (+ x (sqrt (* y y))) (- x (sqrt (* y y))) (+ x (* (sqrt y) (sqrt y))) (- x (* (sqrt y) (sqrt y))) (+ x (* (sqrt y) (sqrt y))) (- x (* (sqrt y) (sqrt y))) (+ x y) (- x y) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.157 * * [simplify]: iteration 0 : 138 enodes (cost 175 ) 0.161 * * [simplify]: iteration 1 : 524 enodes (cost 164 ) 0.171 * * [simplify]: iteration 2 : 2279 enodes (cost 164 ) 0.213 * * [simplify]: iteration 3 : 5002 enodes (cost 164 ) 0.214 * [simplify]: Simplified to: (exp (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (- (* x x) (* y y)) 3) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (+ (pow x 4) (* (* x x) (* y y))) (pow y 4)) (- (* y y)) (+ (* (- (pow y 3)) y) (pow x 4)) (+ (* x x) (* y y)) (+ y x) (- x y) (+ (fabs y) x) (+ x (- (fabs y))) (+ y x) (- x y) (+ y x) (- x y) (+ y x) (- x y) (+ y (fabs x)) (+ (fabs x) (- y)) (+ (fabs y) (fabs x)) (+ (fabs x) (- (fabs y))) (+ y (fabs x)) (+ (fabs x) (- y)) (+ y (fabs x)) (+ (fabs x) (- y)) (+ y (fabs x)) (+ (fabs x) (- y)) (+ y x) (- x y) (+ (fabs y) x) (+ x (- (fabs y))) (+ y x) (- x y) (+ y x) (- x y) (+ y x) (- x y) (+ y x) (- x y) (+ (fabs y) x) (+ x (- (fabs y))) (+ y x) (- x y) (+ y x) (- x y) (+ y x) (- x y) (+ y x) (- x y) (+ (fabs y) x) (+ x (- (fabs y))) (+ y x) (- x y) (+ y x) (- x y) (+ y x) (- x y) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.214 * * * [progress]: adding candidates to table 0.247 * * [progress]: iteration 2 / 4 0.247 * * * [progress]: picking best candidate 0.248 * * * * [pick]: Picked # 0.248 * * * [progress]: localizing error 0.254 * * * [progress]: generating rewritten candidates 0.254 * * * [progress]: generating series expansions 0.254 * * * [progress]: simplifying candidates 0.254 * [simplify]: Simplifying using # : 0.257 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.257 * [simplify]: Simplified to: 0.257 * * * [progress]: adding candidates to table 0.257 * [progress]: [Phase 3 of 3] Extracting. 0.259 * [simplify]: Simplifying using # : (* (+ (fabs y) x) (+ x (- (fabs y)))) 0.262 * * [simplify]: iteration 0 : 10 enodes (cost 6 ) 0.262 * * [simplify]: iteration 1 : 10 enodes (cost 6 ) 0.262 * [simplify]: Simplified to: (* (+ (fabs y) x) (+ x (- (fabs y)))) 0.797 * [regime-testing]: End program error score: 0.001375171896487061