8.137 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (* (+ x y) (- x y)) 0.020 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (- h0 h1)) 0.022 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 24 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 130 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 205 enodes (cost 3 ) 0.032 * * [simplify]: iteration 5 : 295 enodes (cost 3 ) 0.036 * * [simplify]: iteration 6 : 446 enodes (cost 3 ) 0.044 * * [simplify]: iteration 7 : 1317 enodes (cost 3 ) 0.080 * * [simplify]: iteration 8 : 5002 enodes (cost 3 ) 0.080 * [simplify]: Simplified to: (* (+ x y) (- x y)) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.082 * * * * [pick]: Picked # 0.082 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.086 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.125 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.125 * [taylor]: Taking taylor expansion of (+ x y) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (- x y) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.125 * [taylor]: Taking taylor expansion of (+ x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (- x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.125 * [taylor]: Taking taylor expansion of (+ x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (- x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of -1 in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 1 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.133 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.145 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.145 * [taylor]: Taking taylor expansion of -1 in y 0.145 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.147 * [taylor]: Taking taylor expansion of -1 in x 0.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.162 * * * [progress]: simplifying candidates 0.162 * [simplify]: Simplifying using # : (* (+ x y) (- x y)) (+ (log (+ x y)) (log (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (* (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (+ (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ x y) 1) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.162 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (- h0 h1)) (+ (log (+ h0 h1)) (log (- h0 h1))) (log (* (+ h0 h1) (- h0 h1))) (exp (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- h0 h1) (- h0 h1)) (- h0 h1))) (* (cbrt (* (+ h0 h1) (- h0 h1))) (cbrt (* (+ h0 h1) (- h0 h1)))) (cbrt (* (+ h0 h1) (- h0 h1))) (* (* (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1))) (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (sqrt (* (+ h0 h1) (- h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (- (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (- h0 h1))) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* (+ h0 h1) h0) (* (+ h0 h1) (- h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* h0 (+ h0 h1)) (* (- h1) (+ h0 h1)) (* (+ h0 h1) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (* (+ h0 h1) (sqrt (- h0 h1))) (* (+ h0 h1) 1) (* (+ h0 h1) (+ (sqrt h0) (sqrt h1))) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (- h0 h1)) (* (sqrt (+ h0 h1)) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- (pow h0 3) (pow h1 3))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow h0 3) (pow h1 3)) (- h0 h1)) (* (- (* h0 h0) (* h1 h1)) (- h0 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.166 * * [simplify]: iteration 0 : 196 enodes (cost 201 ) 0.170 * * [simplify]: iteration 1 : 986 enodes (cost 187 ) 0.190 * * [simplify]: iteration 2 : 5001 enodes (cost 187 ) 0.191 * [simplify]: Simplified to: (* (- x y) (+ x y)) (log (* (+ x y) (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (pow (* (- x y) (+ x y)) 3) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (* (- x y) (+ x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (+ (* y (+ y x)) (pow x 2)) (+ (* y (- y x)) (pow x 2))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ x y) (+ (* y (- y x)) (pow x 2))) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (+ (* y (+ y x)) (pow x 2)) (- x y)) (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (- x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (+ x y) (* (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (* (cbrt (+ x y)) (- x y)) (* (sqrt (+ x y)) (- x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (+ x y) (- (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (- x y)) (* (- (* x x) (* y y)) (- x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) 0.191 * * * [progress]: adding candidates to table 0.252 * * [progress]: iteration 2 / 4 0.252 * * * [progress]: picking best candidate 0.254 * * * * [pick]: Picked # 0.254 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.301 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.347 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 0.358 * * * [progress]: generating series expansions 0.358 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.358 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of 1 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.364 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of 1 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of 1 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.389 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.389 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.389 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (+ x y) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.389 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ x y) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.389 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (+ x y) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 0.390 * [taylor]: Taking taylor expansion of -1 in y 0.390 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 1 in y 0.396 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of 1 in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.410 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.410 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.410 * [taylor]: Taking taylor expansion of -1 in y 0.410 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.411 * [taylor]: Taking taylor expansion of -1 in x 0.411 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.412 * [taylor]: Taking taylor expansion of -1 in x 0.412 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.416 * [taylor]: Taking taylor expansion of -1 in y 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 0.427 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.433 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.433 * [taylor]: Taking taylor expansion of x in y 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of 1 in y 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.456 * * * [progress]: simplifying candidates 0.457 * [simplify]: Simplifying using # : (- (+ (log (+ x y)) (log (- (* x x) (* y y)))) (log (+ x y))) (- (log (* (+ x y) (- (* x x) (* y y)))) (log (+ x y))) (log (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (exp (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (/ (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (* (+ x y) (+ x y)) (+ x y))) (/ (* (* (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y)))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y)))) (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (* (* (/ (* (+ x y) (- (* x x) (* y y))) (+ x y)) (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (sqrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (sqrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (- (* (+ x y) (- (* x x) (* y y)))) (- (+ x y)) (/ (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (- (* x x) (* y y)) (cbrt (+ x y))) (/ (+ x y) (sqrt (+ x y))) (/ (- (* x x) (* y y)) (sqrt (+ x y))) (/ (+ x y) 1) (/ (- (* x x) (* y y)) (+ x y)) (/ (+ x y) 1) (/ (- (* x x) (* y y)) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (* (+ x y) (- (* x x) (* y y)))) (/ (* (+ x y) (- (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (+ x y) (- (* x x) (* y y))) (sqrt (+ x y))) (/ (* (+ x y) (- (* x x) (* y y))) 1) (/ (* (+ x y) (- (* x x) (* y y))) 1) (/ (+ x y) (- (* x x) (* y y))) (/ (* (+ x y) (- (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (/ (* (+ x y) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (* y y)))) (* (+ x y) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (+ x y) (* (- x y) (+ (* x x) (* y y)))) (* (+ x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (+ x y) (+ (* x x) (* y y))) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))) (* (+ x y) (- x y)) (* (+ x y) (- (* x x) (* y y))) (+ (log (+ x y)) (log (- (* x x) (* y y)))) (log (* (+ x y) (- (* x x) (* y y)))) (exp (* (+ x y) (- (* x x) (* y y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (* (+ x y) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- (* x x) (* y y))))) (cbrt (* (+ x y) (- (* x x) (* y y)))) (* (* (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- (* x x) (* y y)))) (* (+ (pow x 3) (pow y 3)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (+ (pow x 3) (pow y 3)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- x y) (+ (* x x) (* y y))) (* (sqrt (+ x y)) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ x y)) (sqrt (- (* x x) (* y y)))) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (* x x) (+ x y)) (* (- (* y y)) (+ x y)) (* (* x x) (+ x y)) (* (- (* y y)) (+ x y)) (* (+ x y) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* (+ x y) (sqrt (- (* x x) (* y y)))) (* (+ x y) 1) (* (+ x y) (+ x y)) (* (cbrt (+ x y)) (- (* x x) (* y y))) (* (sqrt (+ x y)) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ x y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (/ (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) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.458 * [simplify]: Sending expressions to egg_math: (- (+ (log (+ h0 h1)) (log (- (* h0 h0) (* h1 h1)))) (log (+ h0 h1))) (- (log (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (log (+ h0 h1))) (log (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1))) (exp (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1))) (/ (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1)))) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (/ (* (* (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1))) (cbrt (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1)))) (cbrt (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1))) (* (* (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1)) (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1))) (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1))) (sqrt (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1))) (sqrt (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ h0 h1))) (- (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (- (+ h0 h1)) (/ (+ h0 h1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (- (* h0 h0) (* h1 h1)) (cbrt (+ h0 h1))) (/ (+ h0 h1) (sqrt (+ h0 h1))) (/ (- (* h0 h0) (* h1 h1)) (sqrt (+ h0 h1))) (/ (+ h0 h1) 1) (/ (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (/ (+ h0 h1) 1) (/ (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1))) (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) 1) (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) 1) (/ (+ h0 h1) (- (* h0 h0) (* h1 h1))) (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ (pow h0 3) (pow h1 3))) (/ (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (* (+ h0 h1) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (* h1 h1)))) (* (+ h0 h1) (* (- h0 h1) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (* (+ h0 h1) (* (- h0 h1) (+ (* h0 h0) (* h1 h1)))) (* (+ h0 h1) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (* (+ h0 h1) (+ (* h0 h0) (* h1 h1))) (* (+ h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ h0 h1) (- h0 h1)) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (+ (log (+ h0 h1)) (log (- (* h0 h0) (* h1 h1)))) (log (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (exp (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1)))) (* (cbrt (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (cbrt (* (+ h0 h1) (- (* h0 h0) (* h1 h1))))) (cbrt (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (* (* (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (sqrt (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (sqrt (* (+ h0 h1) (- (* h0 h0) (* h1 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (* (+ (pow h0 3) (pow h1 3)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (* h1 h1))) (* (- (* h0 h0) (* h1 h1)) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (* (- h0 h1) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (* (- (* h0 h0) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (* (- h0 h1) (+ (* h0 h0) (* h1 h1))) (* (sqrt (+ h0 h1)) (sqrt (- (* h0 h0) (* h1 h1)))) (* (sqrt (+ h0 h1)) (sqrt (- (* h0 h0) (* h1 h1)))) (* (+ h0 h1) (* h0 h0)) (* (+ h0 h1) (- (* h1 h1))) (* (+ h0 h1) (* h0 h0)) (* (+ h0 h1) (- (* h1 h1))) (* (* h0 h0) (+ h0 h1)) (* (- (* h1 h1)) (+ h0 h1)) (* (* h0 h0) (+ h0 h1)) (* (- (* h1 h1)) (+ h0 h1)) (* (+ h0 h1) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1))))) (* (+ h0 h1) (sqrt (- (* h0 h0) (* h1 h1)))) (* (+ h0 h1) 1) (* (+ h0 h1) (+ h0 h1)) (* (cbrt (+ h0 h1)) (- (* h0 h0) (* h1 h1))) (* (sqrt (+ h0 h1)) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ h0 h1) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (* (+ h0 h1) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (/ (exp (* h0 h0)) (exp (* h1 h1))) (log (- (* h0 h0) (* h1 h1))) (exp (- (* h0 h0) (* h1 h1))) (* (cbrt (- (* h0 h0) (* h1 h1))) (cbrt (- (* h0 h0) (* h1 h1)))) (cbrt (- (* h0 h0) (* h1 h1))) (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- (* h0 h0) (* h1 h1))) (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (+ (* h0 h0) (* h1 h1)) (+ h0 h1) (- h0 h1) (- (* h1 h1)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (+ (* (pow h0 2) h1) (pow h0 3)) (* h0 (pow h1 2))) (- (* (pow h0 2) h1) (+ (* h0 (pow h1 2)) (pow h1 3))) (- (* (pow h0 2) h1) (+ (* h0 (pow h1 2)) (pow h1 3))) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) (- (pow h0 2) (pow h1 2)) 0.463 * * [simplify]: iteration 0 : 375 enodes (cost 711 ) 0.473 * * [simplify]: iteration 1 : 2366 enodes (cost 555 ) 0.529 * * [simplify]: iteration 2 : 5001 enodes (cost 555 ) 0.532 * [simplify]: Simplified to: (log (- (* x x) (* y y))) (log (- (* x x) (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (pow (- (* x x) (* y y)) 3) (pow (- (* x x) (* y y)) 3) (* (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))) (- (* (+ x y) (- (* x x) (* y y)))) (- (+ x y)) (/ (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (- (* x x) (* y y)) (cbrt (+ x y))) (/ (+ x y) (sqrt (+ x y))) (/ (- (* x x) (* y y)) (sqrt (+ x y))) (+ x y) (/ (- x y) 1) (+ x y) (/ (- x y) 1) (/ 1 (+ x y)) (/ (/ 1 (+ x y)) (- x y)) (/ (* (+ x y) (- (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (+ x y) (- (* x x) (* y y))) (sqrt (+ x y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (/ 1 (- x y)) (/ (* (+ x y) (- (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (+ x y) (* (* (+ x y) (+ (* y (- y x)) (pow x 2))) (+ (+ (pow x 4) (* (* x x) (* y y))) (pow y 4))) (* (* (+ (* x x) (* y y)) (+ (* y (- y x)) (pow x 2))) (+ x y)) (* (- (* x x) (* y y)) (+ (+ (pow x 4) (* (* x x) (* y y))) (pow y 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (+ (+ (pow x 4) (* (* x x) (* y y))) (pow y 4)) (+ x y)) (* (+ x y) (+ (* x x) (* y y))) (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (- (* x x) (* y y)) (* (+ x y) (- (* x x) (* y y))) (log (* (+ x y) (- (* x x) (* y y)))) (log (* (+ x y) (- (* x x) (* y y)))) (exp (* (+ x y) (- (* x x) (* y y)))) (pow (* (+ x y) (- (* x x) (* y y))) 3) (* (cbrt (* (+ x y) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- (* x x) (* y y))))) (cbrt (* (+ x y) (- (* x x) (* y y)))) (pow (* (+ x y) (- (* x x) (* y y))) 3) (sqrt (* (+ x y) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- (* x x) (* y y)))) (* (+ (pow x 3) (pow y 3)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ (* (pow y 2) (+ (pow y 2) (pow x 2))) (* (* x x) (* x x))) (+ (* y (- y x)) (pow x 2))) (* (+ (pow x 3) (pow y 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3) (pow y 3)) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (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)) (+ x y) (- x y) (- (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (* x (- (* x (+ x y)) (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.532 * * * [progress]: adding candidates to table 0.702 * [progress]: [Phase 3 of 3] Extracting. 0.702 * * [regime]: Finding splitpoints for: (# #) 0.703 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 0.703 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 0.714 * * * * [regimes]: Trying to branch on y from (# #) 0.727 * * * * [regimes]: Trying to branch on x from (# #) 0.738 * * * [regime]: Found split indices: #