6.885 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (+ (+ (* x x) y) y) 0.015 * [simplify]: Sending expressions to egg_math: (+ (+ (* h0 h0) h1) h1) 0.017 * * [simplify]: iteration 0 : 9 enodes (cost 3 ) 0.018 * * [simplify]: iteration 1 : 12 enodes (cost 3 ) 0.020 * * [simplify]: iteration 2 : 13 enodes (cost 3 ) 0.021 * * [simplify]: iteration 3 : 13 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.073 * [taylor]: Taking taylor expansion of 2 in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.073 * [taylor]: Taking taylor expansion of 2 in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.073 * [taylor]: Taking taylor expansion of 2 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of 2 in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of 2 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.080 * [taylor]: Taking taylor expansion of 2 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of 2 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.088 * [taylor]: Taking taylor expansion of 2 in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of 2 in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.089 * [taylor]: Taking taylor expansion of 2 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of 2 in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.097 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of 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 (pow x 2)) (/ 1 y)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.115 * * * [progress]: simplifying candidates 0.115 * [simplify]: Simplifying using # : (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.115 * [simplify]: Sending expressions to egg_math: (* (* (exp (* h0 h0)) (exp h1)) (exp h1)) (* (exp (+ (* h0 h0) h1)) (exp 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) h1) 3) (pow h1 3)) (+ (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (- (* h1 h1) (* (+ (* h0 h0) h1) h1))) (- (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (* h1 h1)) (- (+ (* h0 h0) h1) h1) (+ (+ (* h0 h0) h1) h1) (+ h1 h1) (* (exp (* h0 h0)) (exp h1)) (log (+ (* h0 h0) h1)) (exp (+ (* h0 h0) h1)) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))) (cbrt (+ (* h0 h0) h1)) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (+ (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (- (* h0 h0) h1) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) 0.119 * * [simplify]: iteration 0 : 136 enodes (cost 138 ) 0.122 * * [simplify]: iteration 1 : 511 enodes (cost 127 ) 0.130 * * [simplify]: iteration 2 : 1640 enodes (cost 121 ) 0.165 * * [simplify]: iteration 3 : 5002 enodes (cost 120 ) 0.166 * [simplify]: Simplified to: (exp (+ (+ (* 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (pow x 2) (+ (+ (* x x) y) y)) (pow x 2) (+ (+ (* x x) y) y) (+ y y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (+ (- (* y y)) (pow x 4)) (- (* x x) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.166 * * * [progress]: adding candidates to table 0.219 * * [progress]: iteration 2 / 4 0.219 * * * [progress]: picking best candidate 0.222 * * * * [pick]: Picked # 0.222 * * * [progress]: localizing error 0.226 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.250 * * * [progress]: generating series expansions 0.250 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.250 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.250 * [taylor]: Taking taylor expansion of 2 in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.251 * [taylor]: Taking taylor expansion of 2 in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.251 * [taylor]: Taking taylor expansion of 2 in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.251 * [taylor]: Taking taylor expansion of 2 in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.256 * [taylor]: Taking taylor expansion of 2 in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.257 * [taylor]: Taking taylor expansion of 2 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.257 * [taylor]: Taking taylor expansion of 2 in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.257 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of 1 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of 2 in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.265 * [taylor]: Taking taylor expansion of 2 in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.265 * [taylor]: Taking taylor expansion of 2 in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of 2 in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.268 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.268 * [taylor]: Taking taylor expansion of 2 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.274 * * * [progress]: simplifying candidates 0.274 * [simplify]: Simplifying using # : (* (exp (* x x)) (* (exp y) (exp 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)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (* x x) (+ y y)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.274 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h0)) (* (exp h1) (exp 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)))) (- (* (* h0 h0) (* h0 h0)) (* (+ h1 h1) (+ h1 h1))) (- (* h0 h0) (+ h1 h1)) (+ (* h0 h0) h1) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) 0.277 * * [simplify]: iteration 0 : 103 enodes (cost 83 ) 0.280 * * [simplify]: iteration 1 : 468 enodes (cost 74 ) 0.289 * * [simplify]: iteration 2 : 1756 enodes (cost 74 ) 0.331 * * [simplify]: iteration 3 : 5002 enodes (cost 74 ) 0.331 * [simplify]: Simplified to: (exp (+ (* 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)) (- (* 4 (* y y)) (- (* (* x x) (+ y y)) (pow x 4))) (+ (- (* (+ y y) (+ y y))) (pow x 4)) (- (* x x) (+ y y)) (+ (* x x) y) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) (+ (* x x) (+ y y)) 0.331 * * * [progress]: adding candidates to table 0.357 * * [progress]: iteration 3 / 4 0.357 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.362 * * * [progress]: localizing error 0.369 * * * [progress]: generating rewritten candidates 0.369 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.421 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.450 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.458 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.469 * * * [progress]: generating series expansions 0.469 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.469 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 1 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of 1 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.486 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.486 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.486 * [taylor]: Taking taylor expansion of 2 in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.486 * [taylor]: Taking taylor expansion of 2 in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.487 * [taylor]: Taking taylor expansion of 2 in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.487 * [taylor]: Taking taylor expansion of 2 in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 1 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.491 * [taylor]: Taking taylor expansion of 2 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.492 * [taylor]: Taking taylor expansion of 2 in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.493 * [taylor]: Taking taylor expansion of 2 in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.498 * [taylor]: Taking taylor expansion of 2 in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.503 * [taylor]: Taking taylor expansion of 2 in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.504 * [taylor]: Taking taylor expansion of 2 in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.505 * [taylor]: Taking taylor expansion of 2 in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of 1 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.507 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.507 * [taylor]: Taking taylor expansion of 2 in y 0.507 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.512 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.512 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.512 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [taylor]: Taking taylor expansion of 1 in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.515 * [taylor]: Taking taylor expansion of y in x 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of 1 in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.518 * [taylor]: Taking taylor expansion of y in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.521 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [taylor]: Taking taylor expansion of 1 in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.529 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.529 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.529 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.529 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of 1 in y 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.531 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.531 * [taylor]: Taking taylor expansion of x in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of 1 in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.539 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.539 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of 1 in y 0.540 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of 0 in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.546 * * * [progress]: simplifying candidates 0.547 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y)))) (log (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))) (* (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 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(pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (- (* h0 h0) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) (* 2 h1)) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) 0.553 * * [simplify]: iteration 0 : 227 enodes (cost 600 ) 0.557 * * [simplify]: iteration 1 : 903 enodes (cost 514 ) 0.580 * * [simplify]: iteration 2 : 5002 enodes (cost 498 ) 0.583 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow (sqrt (+ (* x x) y)) 4) 2 (log (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (pow (+ (* x x) y) 3) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (pow (sqrt (+ (* x x) y)) 4) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (* y y) (- (* (* x x) y) (pow x 4))) (* (sqrt (+ (pow (* x x) 3) 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[progress]: adding candidates to table 0.744 * [progress]: [Phase 3 of 3] Extracting. 0.744 * * [regime]: Finding splitpoints for: (# #) 0.744 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 0.744 * * * * [regimes]: Trying to branch on (* x x) from (# #) 0.760 * * * * [regimes]: Trying to branch on y from (# #) 0.776 * * * * [regimes]: Trying to branch on x from (# #) 0.786 * * * [regime]: Found split indices: #