3.618 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.021 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (+ h0 h1)) 0.025 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.028 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.031 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.035 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.039 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.044 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.048 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.053 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.057 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.057 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.100 * * * [progress]: generating series expansions 0.100 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.100 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.100 * [taylor]: Taking taylor expansion of (+ x y) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.100 * [taylor]: Taking taylor expansion of (+ x y) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.100 * [taylor]: Taking taylor expansion of (+ x y) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.104 * [taylor]: Taking taylor expansion of 2 in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.108 * [taylor]: Taking taylor expansion of x in y 0.108 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.108 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.109 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of 1 in y 0.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.111 * [taylor]: Taking taylor expansion of 2 in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.114 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.117 * [taylor]: Taking taylor expansion of 2 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.121 * * * [progress]: simplifying candidates 0.122 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (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)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) 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) 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) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.122 * [simplify]: Sending expressions to egg_math: (expm1 (* (+ h0 h1) (+ h0 h1))) (log1p (* (+ h0 h1) (+ h0 h1))) (+ 1 1) (* (+ h0 h1) (+ h0 h1)) (+ 1 1) (+ (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)) (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* 2 1) (* (+ h0 h1) h0) (* (+ h0 h1) 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) 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) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) 0.127 * * [simplify]: iteration 0 : 194 enodes (cost 221 ) 0.137 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.169 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.170 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) 6) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ 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)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.171 * * * [progress]: adding candidates to table 0.231 * * [progress]: iteration 2 / 4 0.231 * * * [progress]: picking best candidate 0.233 * * * * [pick]: Picked # 0.233 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.243 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.273 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.319 * * * [progress]: generating series expansions 0.319 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.319 * [approximate]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in y 0.319 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.319 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (+ x y) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (- x y) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in x 0.321 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.321 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (+ x y) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (- x y) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (/ (* (- (pow x 2) (pow y 2)) (+ x y)) (- x y)) in x 0.321 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.321 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (+ x y) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (- x y) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.324 * [taylor]: Taking taylor expansion of 2 in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 1 in y 0.328 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in y 0.329 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in x 0.332 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 x) (/ 1 y))) in x 0.335 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of 1 in y 0.340 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.341 * [taylor]: Taking taylor expansion of 2 in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.347 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in y 0.347 * [taylor]: Taking taylor expansion of -1 in y 0.347 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in y 0.347 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in x 0.351 * [taylor]: Taking taylor expansion of -1 in x 0.351 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in x 0.351 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x)))) in x 0.354 * [taylor]: Taking taylor expansion of -1 in x 0.354 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) (- (/ 1 y) (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of 1 in y 0.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.361 * [taylor]: Taking taylor expansion of 2 in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.368 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.368 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 0.368 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (+ x y) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.368 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (+ x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 0.368 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (+ x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 0.369 * [taylor]: Taking taylor expansion of -1 in y 0.369 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [approximate]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.380 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of 1 in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.396 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.396 * [taylor]: Taking taylor expansion of -1 in y 0.396 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.397 * [taylor]: Taking taylor expansion of -1 in x 0.397 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [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)) 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 0.398 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.399 * [taylor]: Taking taylor expansion of -1 in x 0.399 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 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 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of -1 in y 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.414 * * * [progress]: simplifying candidates 0.416 * [simplify]: Simplifying using # : (expm1 (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log1p (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (- (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (- x y))) (- (log (* (- (* x x) (* y y)) (+ x y))) (log (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (exp (/ (* (- (* x x) (* y 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 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)) (- x y))) (* (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)))) (cbrt (/ (* (- (* 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)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (- (* (- (* x x) (* y y)) (+ x y))) (- (- x y)) (/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ (- (* x x) (* y y)) (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (/ (- (* x x) (* y y)) 1) (/ (+ x y) (- x y)) (/ (- (* x x) (* y y)) (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (/ (- (* x x) (* y y)) 1) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (* (- (* x x) (* y y)) (+ x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (sqrt (- x y))) (/ (* (- (* x x) (* y y)) (+ x y)) 1) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (sqrt x) (sqrt y))) (/ (* (- (* x x) (* y y)) (+ x y)) 1) (/ (- x y) (+ x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (- (pow x 3) (pow y 3))) (/ (* (- (* 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 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 x) (- (* y y) (* x y))))) (* (- x y) (* (+ (* x x) (* y y)) (- x y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- x y) (+ (* x x) (* y y))) (expm1 (* (- (* x x) (* y y)) (+ x y))) (log1p (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y)) (+ (log (- (* x x) (* y y))) (log (+ x y))) (log (* (- (* x x) (* y y)) (+ x y))) (exp (* (- (* x x) (* y y)) (+ x y))) (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y))) (* (* (* (- (* x x) (* y y)) (+ x y)) (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3))) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y))) (* (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- 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 y)))) (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* x (- (* x x) (* y y))) (* y (- (* x x) (* y y))) (* (- (* x x) (* y y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- (* x x) (* y y)) (sqrt (+ x y))) (* (- (* x x) (* y y)) 1) (* (- (* x x) (* y y)) 1) (* (cbrt (- (* x x) (* y y))) (+ x y)) (* (sqrt (- (* x x) (* y y))) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (* (- x y) (+ x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- (* 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 y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (- (+ (* (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))) 0.416 * [simplify]: Sending expressions to egg_math: (expm1 (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (log1p (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (- (+ (log (- (* h0 h0) (* h1 h1))) (log (+ h0 h1))) (log (- h0 h1))) (- (log (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (log (- h0 h1))) (log (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (exp (/ (* (- (* h0 h0) (* h1 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 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)) (- h0 h1))) (* (cbrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (cbrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1)))) (cbrt (/ (* (- (* 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)) (- h0 h1))) (sqrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (sqrt (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- h0 h1))) (- (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (- (- h0 h1)) (/ (- (* h0 h0) (* h1 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (+ h0 h1) (cbrt (- h0 h1))) (/ (- (* h0 h0) (* h1 h1)) (sqrt (- h0 h1))) (/ (+ h0 h1) (sqrt (- h0 h1))) (/ (- (* h0 h0) (* h1 h1)) 1) (/ (+ h0 h1) (- h0 h1)) (/ (- (* h0 h0) (* h1 h1)) (+ (sqrt h0) (sqrt h1))) (/ (+ h0 h1) (- (sqrt h0) (sqrt h1))) (/ (- (* h0 h0) (* h1 h1)) 1) (/ (+ h0 h1) (- h0 h1)) (/ 1 (- h0 h1)) (/ (- h0 h1) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (cbrt (- h0 h1)) (cbrt (- h0 h1)))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (sqrt (- h0 h1))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) 1) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (+ (sqrt h0) (sqrt h1))) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) 1) (/ (- h0 h1) (+ h0 h1)) (/ (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (- (pow h0 3) (pow h1 3))) (/ (* (- (* 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 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 h0) (- (* h1 h1) (* h0 h1))))) (* (- h0 h1) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (- h0 h1)) (* (- h0 h1) (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (* (- h0 h1) (+ (* h0 h0) (* h1 h1))) (expm1 (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (log1p (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (+ (log (- (* h0 h0) (* h1 h1))) (log (+ h0 h1))) (log (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (exp (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (* (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (cbrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)))) (cbrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (* (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (sqrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (sqrt (* (- (* h0 h0) (* h1 h1)) (+ h0 h1))) (* (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (pow h0 3) (pow h1 3))) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* (* h0 h0) (* h0 h0)) (+ (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- 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 h1)))) (* (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (* h1 h1)) (- h0 h1)) (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1))) (* (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) h0) (* (- (* h0 h0) (* h1 h1)) h1) (* h0 (- (* h0 h0) (* h1 h1))) (* h1 (- (* h0 h0) (* h1 h1))) (* (- (* h0 h0) (* h1 h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (sqrt (+ h0 h1))) (* (- (* h0 h0) (* h1 h1)) 1) (* (- (* h0 h0) (* h1 h1)) 1) (* (cbrt (- (* h0 h0) (* h1 h1))) (+ h0 h1)) (* (sqrt (- (* h0 h0) (* h1 h1))) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ h0 h1)) (* (- h0 h1) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ (pow h0 3) (pow h1 3))) (* (- (* 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 h1)) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (- (+ (* (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))) 0.424 * * [simplify]: iteration 0 : 437 enodes (cost 669 ) 0.438 * * [simplify]: iteration 1 : 2656 enodes (cost 586 ) 0.505 * * [simplify]: iteration 2 : 5003 enodes (cost 577 ) 0.509 * [simplify]: Simplified to: (expm1 (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log1p (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (log (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (exp (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (* (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)))) (cbrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (pow (/ (* (- (* x x) (* y y)) (+ x y)) (- x y)) 3) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (sqrt (/ (* (- (* x x) (* y y)) (+ x y)) (- x y))) (- (* (- (* x x) (* y y)) (+ x y))) (- (- x y)) (/ (- (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (+ x y) (cbrt (- x y))) (/ (- (* x x) (* y y)) (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))) (- (* x x) (* y y)) (/ (+ x y) (- x y)) (/ (- (* x x) (* y y)) (+ (sqrt x) (sqrt y))) (/ (+ x y) (- (sqrt x) (sqrt y))) (- (* x x) (* y y)) (/ (+ x y) (- x y)) (/ 1 (- x y)) (/ (- x y) (* (- (* x x) (* y y)) (+ x y))) (/ (* (- (* x x) (* y y)) (+ x y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (- (* x x) (* y y)) (+ x y)) (sqrt (- x y))) (* (- (* x x) (* y y)) (+ x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (+ (sqrt x) (sqrt y))) (* (- (* x x) (* y y)) (+ x y)) (/ (- x y) (+ x y)) (/ (* (- (* x x) (* y y)) (+ x y)) (- (pow x 3) (pow y 3))) (/ (* (- (* x x) (* y y)) (+ x y)) (- (* x x) (* y y))) (* (* (fma x x (- (* y y) (* x y))) (- x y)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4))) (* (* (- x y) (- x y)) (+ (* (pow x 2) (fma x x (* y y))) (pow y 4))) (* (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (- x y)) (* (* (- x y) (- x y)) (fma x x (* y y))) (* (fma x x (- (* y y) (* x y))) (- x y)) (* (- x y) (- x y)) (fma (pow x 4) (- x y) (* (* (- x y) (pow y 2)) (fma x x (* y y)))) (* (- x y) (+ (* x x) (* y y))) (expm1 (* (- (* x x) (* y y)) (+ x y))) (log1p (* (- (* x x) (* y y)) (+ x y))) (* (- (* x x) (* y y)) (+ x y)) (log (* (- (* x x) (* y y)) (+ x y))) (log (* (- (* x x) (* y y)) (+ x y))) (exp (* (- (* x x) (* y y)) (+ x y))) (pow (* (- (* x x) (* y y)) (+ x y)) 3) (* (cbrt (* (- (* x x) (* y y)) (+ x y))) (cbrt (* (- (* x x) (* y y)) (+ x y)))) (cbrt (* (- (* x x) (* y y)) (+ x y))) (pow (* (- (* x x) (* y y)) (+ x y)) 3) (sqrt (* (- (* x x) (* y y)) (+ x y))) (sqrt (* (- (* x x) (* y y)) (+ x y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ (pow x 3) (pow y 3))) (fma (fma y (- y x) (pow x 2)) (* (pow y 2) (fma x x (* y y))) (* (fma y (- y x) (pow x 2)) (pow x 4))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (- (* x x) (* y y))) (fma (pow x 4) (- x y) (* (* (- x y) (pow y 2)) (fma x x (* y y)))) (* (+ (pow x 3) (pow y 3)) (* (fma x x (* y y)) (- (* x x) (* y y)))) (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (* (- (* x x) (* y y)) (* (fma x x (* y y)) (- (* x x) (* y y)))) (* (- x y) (+ (* x x) (* y y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (sqrt (- (* x x) (* y y))) (sqrt (+ x y))) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* (- (* x x) (* y y)) x) (* (- (* x x) (* y y)) y) (* (- (* x x) (* y y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- (* x x) (* y y)) (sqrt (+ x y))) (- (* x x) (* y y)) (- (* x x) (* y y)) (* (cbrt (- (* x x) (* y y))) (+ x y)) (* (sqrt (- (* x x) (* y y))) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (- (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- (pow (* x x) 3) (pow (* y y) 3)) (+ x y)) (* (+ x y) (* (fma x x (* y y)) (- (* x x) (* y y)))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (fma y (pow x 2) (- (pow x 3) (* x (pow y 2)))) (fma (pow x 2) y (- (fma x (pow y 2) (pow y 3)))) (fma (pow x 2) y (- (fma x (pow y 2) (pow y 3)))) 0.509 * * * [progress]: adding candidates to table 0.705 * * [progress]: iteration 3 / 4 0.705 * * * [progress]: picking best candidate 0.707 * * * * [pick]: Picked # 0.707 * * * [progress]: localizing error 0.716 * * * [progress]: generating rewritten candidates 0.717 * * * [progress]: generating series expansions 0.717 * * * [progress]: simplifying candidates 0.717 * [simplify]: Simplifying using # : 0.717 * [simplify]: Sending expressions to egg_math: 0.720 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.720 * [simplify]: Simplified to: 0.720 * * * [progress]: adding candidates to table 0.720 * [progress]: [Phase 3 of 3] Extracting. 0.723 * [simplify]: Simplifying using # : (fma x x (fma (* 2 x) y (pow y 2))) 0.723 * [simplify]: Sending expressions to egg_math: (fma h0 h0 (fma (* 2 h0) h1 (pow h1 2))) 0.724 * * [simplify]: iteration 0 : 8 enodes (cost 4 ) 0.725 * * [simplify]: iteration 1 : 8 enodes (cost 4 ) 0.725 * [simplify]: Simplified to: (fma x x (fma (* 2 x) y (pow y 2))) 1.339 * [regime-testing]: End program error score: 0.0074490514440206474 1.358 * [regime-testing]: Target error score: 0.012647821602880648