1.937 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (* x x) (* y y)) 0.121 * * [simplify]: iteration 0 : 6107 enodes (cost 7 ) 0.122 * [simplify]: Simplified to: (- (* x x) (* y y)) 0.122 * * [progress]: iteration 1 / 4 0.122 * * * [progress]: picking best candidate 0.125 * * * * [pick]: Picked # 0.125 * * * [progress]: localizing error 0.130 * * * [progress]: generating rewritten candidates 0.130 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.138 * * * [progress]: generating series expansions 0.138 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.138 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.138 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 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 (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (neg (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 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.139 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.139 * [taylor]: Taking taylor expansion of x in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [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 0.140 * [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 0.140 * [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 0.140 * [taylor]: Taking taylor expansion of 1 in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of (neg (/ 1 (pow y 2))) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.140 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of (neg (/ 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 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * * * [progress]: simplifying candidates 0.145 * [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)) 0.163 * * [simplify]: iteration 0 : 5037 enodes (cost 145 ) 0.164 * [simplify]: Simplified to: (pow (exp (+ x y)) (- x y)) (log (- (* x x) (* y y))) (pow (exp (+ x y)) (- x 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 6) (pow y 6)) (+ (pow x 4) (+ (pow y 4) (* x (* x (* y y))))) (* y (neg y)) (- (pow x 4) (pow y 4)) (+ (* x x) (* y y)) (+ x y) (- x y) (* y (neg y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.164 * * * [progress]: adding candidates to table 0.182 * * [progress]: iteration 2 / 4 0.182 * * * [progress]: picking best candidate 0.184 * * * * [pick]: Picked # 0.184 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * [progress]: generating series expansions 0.188 * * * [progress]: simplifying candidates 0.189 * [simplify]: Simplifying using # : 0.190 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.190 * [simplify]: Simplified to: 0.191 * * * [progress]: adding candidates to table 0.191 * [progress]: [Phase 3 of 3] Extracting. 0.193 * [simplify]: Simplifying using # : (* (+ x y) (- x y)) 0.194 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.194 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 0.194 * [simplify]: Simplified to: (* (+ x y) (- x y)) 1.119 * [regime-testing]: End program error score: 0.0007500937617202151