15.132 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (- (* x x) (* y y)) 0.044 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.045 * * [simplify]: iteration 1 : 17 enodes (cost 3 ) 0.046 * * [simplify]: iteration 2 : 32 enodes (cost 3 ) 0.048 * * [simplify]: iteration 3 : 58 enodes (cost 3 ) 0.049 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.051 * * [simplify]: iteration 5 : 207 enodes (cost 3 ) 0.054 * * [simplify]: iteration 6 : 393 enodes (cost 3 ) 0.063 * * [simplify]: iteration 7 : 1794 enodes (cost 3 ) 0.118 * * [simplify]: iteration 8 : 5001 enodes (cost 3 ) 0.118 * [simplify]: Simplified to: (- (* x x) (* y y)) 0.119 * * [progress]: iteration 1 / 4 0.119 * * * [progress]: picking best candidate 0.121 * * * * [pick]: Picked # 0.121 * * * [progress]: localizing error 0.126 * * * [progress]: generating rewritten candidates 0.126 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.129 * * * [progress]: generating series expansions 0.129 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.129 * [approximate]: Approximating (- (pow x 2) (pow y 2)) in (x y) around 0 0.130 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.131 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.138 * [approximate]: Approximating (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.157 * [approximate]: Approximating (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.169 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.171 * * * [progress]: simplifying candidates 0.172 * [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)))) (neg (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (neg (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.174 * * [simplify]: iteration 0 : 93 enodes (cost 83 ) 0.176 * * [simplify]: iteration 1 : 375 enodes (cost 72 ) 0.182 * * [simplify]: iteration 2 : 1243 enodes (cost 72 ) 0.207 * * [simplify]: iteration 3 : 5001 enodes (cost 72 ) 0.208 * [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)) (neg (* y y)) (+ (* (neg (pow y 3)) y) (pow x 4)) (+ (* x x) (* y y)) (+ x y) (- x y) (neg (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.208 * * * [progress]: adding candidates to table 0.230 * * [progress]: iteration 2 / 4 0.230 * * * [progress]: picking best candidate 0.233 * * * * [pick]: Picked # 0.233 * * * [progress]: localizing error 0.237 * * * [progress]: generating rewritten candidates 0.237 * * * [progress]: generating series expansions 0.237 * * * [progress]: simplifying candidates 0.237 * [simplify]: Simplifying using # : 0.238 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.239 * [simplify]: Simplified to: 0.239 * * * [progress]: adding candidates to table 0.239 * [progress]: [Phase 3 of 3] Extracting. 0.241 * [simplify]: Simplifying using # : (* (+ x y) (- x y)) 0.242 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.242 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.242 * [simplify]: Simplified to: (* (+ x y) (- x y))