12.575 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* 2.0 (+ (* x x) (* x y))) 0.020 * * [simplify]: iteration 0 : 18 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 36 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 58 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 60 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 60 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (* (* x (+ x y)) 2.0) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.063 * * * [progress]: generating series expansions 0.064 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.064 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.064 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of (+ x y) in y 0.064 * [taylor]: Taking taylor expansion of x in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of x in y 0.069 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [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 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.090 * [approximate]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (+ x y) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.090 * [taylor]: Taking taylor expansion of 2.0 in x 0.090 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (+ x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.090 * [taylor]: Taking taylor expansion of 2.0 in x 0.090 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (+ x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 2.0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.099 * [taylor]: Taking taylor expansion of 2.0 in y 0.099 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.100 * [taylor]: Taking taylor expansion of 2.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.101 * [taylor]: Taking taylor expansion of 2.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.101 * [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 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.103 * [taylor]: Taking taylor expansion of 2.0 in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.114 * [taylor]: Taking taylor expansion of 2.0 in y 0.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [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 x in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.115 * [taylor]: Taking taylor expansion of 2.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) 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 x in x 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.120 * [taylor]: Taking taylor expansion of 2.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.133 * * * [progress]: simplifying candidates 0.134 * [simplify]: Simplifying using # : (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0) (+ (+ (log x) (log (+ x y))) (log 2.0)) (+ (log (* x (+ x y))) (log 2.0)) (log (* (* x (+ x y)) 2.0)) (exp (* (* x (+ x y)) 2.0)) (* (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (* 2.0 2.0) 2.0)) (* (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (* (* 2.0 2.0) 2.0)) (* (cbrt (* (* x (+ x y)) 2.0)) (cbrt (* (* x (+ x y)) 2.0))) (cbrt (* (* x (+ x y)) 2.0)) (* (* (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0)) (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)) (* (* x (+ x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (+ x y)) (sqrt 2.0)) (* (* x (+ x y)) 1) (* (+ x y) 2.0) (* (* x (+ (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.138 * * [simplify]: iteration 0 : 201 enodes (cost 193 ) 0.143 * * [simplify]: iteration 1 : 1117 enodes (cost 164 ) 0.172 * * [simplify]: iteration 2 : 5002 enodes (cost 164 ) 0.173 * [simplify]: Simplified to: (* x (+ x y)) (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) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt (+ x y)) (pow x 1/2)) (* (sqrt (+ x y)) (pow x 1/2)) (pow x 2) (* x y) (pow x 2) (* x y) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* 2.0 (* x (+ x y))) (* 2.0 (* x (+ x y))) (log (* (* x (+ x y)) 2.0)) (log (* (* x (+ x y)) 2.0)) (log (* (* x (+ x y)) 2.0)) (exp (* (* x (+ x y)) 2.0)) (pow (* 2.0 (* x (+ x y))) 3) (pow (* 2.0 (* x (+ x y))) 3) (* (cbrt (* (* x (+ x y)) 2.0)) (cbrt (* (* x (+ x y)) 2.0))) (cbrt (* (* x (+ x y)) 2.0)) (pow (* 2.0 (* x (+ x y))) 3) (sqrt (* (* x (+ x y)) 2.0)) (sqrt (* (* x (+ x y)) 2.0)) (* (* x (+ x y)) (* (cbrt 2.0) (cbrt 2.0))) (* (* x (+ x y)) (sqrt 2.0)) (* x (+ x y)) (* (+ x y) 2.0) (* (* x (+ (pow x 3) (pow y 3))) 2.0) (* (* x (- (* x x) (* y y))) 2.0) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* 2.0 (* x (+ x y))) (* 2.0 (* x (+ x y))) (* 2.0 (* x (+ x y))) 0.173 * * * [progress]: adding candidates to table 0.239 * * [progress]: iteration 2 / 4 0.239 * * * [progress]: picking best candidate 0.243 * * * * [pick]: Picked # 0.243 * * * [progress]: localizing error 0.247 * * * [progress]: generating rewritten candidates 0.247 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.260 * * * [progress]: generating series expansions 0.260 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.260 * [approximate]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in y 0.260 * [taylor]: Taking taylor expansion of 2.0 in y 0.260 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (+ x y) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.260 * [taylor]: Taking taylor expansion of 2.0 in x 0.260 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (+ x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.260 * [taylor]: Taking taylor expansion of 2.0 in x 0.261 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (+ x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.262 * [taylor]: Taking taylor expansion of 2.0 in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 2.0 in y 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.272 * [taylor]: Taking taylor expansion of 2.0 in y 0.272 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.273 * [taylor]: Taking taylor expansion of 2.0 in x 0.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.274 * [taylor]: Taking taylor expansion of 2.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 2.0 in y 0.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.276 * [taylor]: Taking taylor expansion of 2.0 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.283 * [taylor]: Taking taylor expansion of 0 in y 0.287 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.288 * [taylor]: Taking taylor expansion of 2.0 in y 0.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.288 * [taylor]: Taking taylor expansion of 2.0 in x 0.288 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.289 * [taylor]: Taking taylor expansion of 2.0 in x 0.289 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of 2.0 in y 0.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.292 * [taylor]: Taking taylor expansion of 2.0 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.302 * * * [progress]: simplifying candidates 0.303 * [simplify]: Simplifying using # : (* x (* (+ x y) 2.0)) (* x (* (+ x y) 2.0)) (+ (log x) (+ (log (+ x y)) (log 2.0))) (+ (log x) (log (* (+ x y) 2.0))) (log (* x (* (+ x y) 2.0))) (exp (* x (* (+ x y) 2.0))) (* (* (* x x) x) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2.0 2.0) 2.0))) (* (* (* x x) x) (* (* (* (+ x y) 2.0) (* (+ x y) 2.0)) (* (+ x y) 2.0))) (* (cbrt (* x (* (+ x y) 2.0))) (cbrt (* x (* (+ x y) 2.0)))) (cbrt (* x (* (+ x y) 2.0))) (* (* (* x (* (+ x y) 2.0)) (* x (* (+ x y) 2.0))) (* x (* (+ x y) 2.0))) (sqrt (* x (* (+ x y) 2.0))) (sqrt (* x (* (+ x y) 2.0))) (* x (+ x y)) (* (cbrt x) (* (+ x y) 2.0)) (* (sqrt x) (* (+ x y) 2.0)) (* x (* (+ x y) 2.0)) (* x (* (+ (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.306 * * [simplify]: iteration 0 : 148 enodes (cost 106 ) 0.310 * * [simplify]: iteration 1 : 591 enodes (cost 87 ) 0.325 * * [simplify]: iteration 2 : 3220 enodes (cost 87 ) 0.388 * * [simplify]: iteration 3 : 5002 enodes (cost 87 ) 0.389 * [simplify]: Simplified to: (* 2.0 (* x (+ x y))) (* 2.0 (* x (+ x y))) (log (* x (* (+ x y) 2.0))) (log (* x (* (+ x y) 2.0))) (log (* x (* (+ x y) 2.0))) (exp (* x (* (+ x y) 2.0))) (pow (* x (* (+ x y) 2.0)) 3) (pow (* x (* (+ x y) 2.0)) 3) (* (cbrt (* x (* (+ x y) 2.0))) (cbrt (* x (* (+ x y) 2.0)))) (cbrt (* x (* (+ x y) 2.0))) (pow (* x (* (+ x y) 2.0)) 3) (sqrt (* x (* (+ x y) 2.0))) (sqrt (* x (* (+ x y) 2.0))) (* x (+ x y)) (* (cbrt x) (* (+ x y) 2.0)) (* (sqrt x) (* (+ x y) 2.0)) (* 2.0 (* x (+ x y))) (* x (* (+ (pow x 3) (pow y 3)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* 2.0 (* x (+ x y))) (* 2.0 (* x (+ x y))) (* 2.0 (* x (+ x y))) 0.389 * * * [progress]: adding candidates to table 0.425 * * [progress]: iteration 3 / 4 0.425 * * * [progress]: picking best candidate 0.428 * * * * [pick]: Picked # 0.428 * * * [progress]: localizing error 0.434 * * * [progress]: generating rewritten candidates 0.434 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.437 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.447 * * * [progress]: generating series expansions 0.447 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.447 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (* x y) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (* x y) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.447 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (* x y) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of 1 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.453 * [taylor]: Taking taylor expansion of (* x y) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.454 * [taylor]: Taking taylor expansion of (* x y) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.455 * [taylor]: Taking taylor expansion of (* x y) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of 1 in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.464 * [taylor]: Taking taylor expansion of (* x y) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.465 * [taylor]: Taking taylor expansion of (* x y) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.466 * [taylor]: Taking taylor expansion of (* x y) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of 1 in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.475 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.475 * [approximate]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in y 0.475 * [taylor]: Taking taylor expansion of 2.0 in y 0.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (* x y) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.476 * [taylor]: Taking taylor expansion of 2.0 in x 0.476 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (* x y) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.476 * [taylor]: Taking taylor expansion of 2.0 in x 0.476 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (* x y) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.477 * [taylor]: Taking taylor expansion of 2.0 in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 2.0 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.486 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.486 * [taylor]: Taking taylor expansion of 2.0 in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (* x y)) in y 0.486 * [taylor]: Taking taylor expansion of (* x y) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.486 * [taylor]: Taking taylor expansion of 2.0 in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.487 * [taylor]: Taking taylor expansion of (* x y) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.487 * [taylor]: Taking taylor expansion of 2.0 in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.488 * [taylor]: Taking taylor expansion of (* x y) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of 2.0 in y 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.490 * [taylor]: Taking taylor expansion of 2.0 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.505 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.505 * [taylor]: Taking taylor expansion of 2.0 in y 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.505 * [taylor]: Taking taylor expansion of (* x y) in y 0.505 * [taylor]: Taking taylor expansion of x in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.505 * [taylor]: Taking taylor expansion of 2.0 in x 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.506 * [taylor]: Taking taylor expansion of (* x y) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.506 * [taylor]: Taking taylor expansion of 2.0 in x 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.507 * [taylor]: Taking taylor expansion of (* x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of 2.0 in y 0.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.509 * [taylor]: Taking taylor expansion of 2.0 in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.520 * * * [progress]: simplifying candidates 0.521 * [simplify]: Simplifying using # : (* (exp (* x x)) (exp (* x y))) (log (+ (* x x) (* x y))) (exp (+ (* x x) (* x y))) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (- (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (- (* x x) (* x y)) (+ x y) (* 2.0 (+ (* x x) (* x y))) (+ (log 2.0) (log (+ (* x x) (* x y)))) (log (* 2.0 (+ (* x x) (* x y)))) (exp (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y)))) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* (* x x) 2.0) (* (* x y) 2.0) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (+ (* x x) (* x y))) (* (sqrt 2.0) (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.525 * * [simplify]: iteration 0 : 189 enodes (cost 212 ) 0.530 * * [simplify]: iteration 1 : 950 enodes (cost 181 ) 0.555 * * [simplify]: iteration 2 : 5002 enodes (cost 176 ) 0.557 * [simplify]: Simplified to: (pow (exp x) (+ x y)) (log (+ (* x x) (* x y))) (pow (exp x) (+ x y)) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (pow (* x (+ x y)) 3) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow x 6) (pow (* x y) 3)) (* x (+ (pow x 3) (* y (* x (- y x))))) (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)) (+ x y) (* (* x (+ x y)) 2.0) (log (* 2.0 (+ (* x x) (* x y)))) (log (* 2.0 (+ (* x x) (* x y)))) (pow (exp 2.0) (* x (+ x y))) (pow (* (* x (+ x y)) 2.0) 3) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (pow (* (* x (+ x y)) 2.0) 3) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* 2.0 (* x x)) (* 2.0 (* x y)) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) 2.0 (* 2.0 x) (* (* x (+ x y)) (cbrt 2.0)) (* (* x (+ x y)) (sqrt 2.0)) (* (* x (+ x y)) 2.0) (* 2.0 (+ (pow x 6) (pow (* x y) 3))) (* (* (* x (+ x y)) 2.0) (* x (- x y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0) 0.557 * * * [progress]: adding candidates to table 0.627 * * [progress]: iteration 4 / 4 0.627 * * * [progress]: picking best candidate 0.628 * * * * [pick]: Picked # 0.628 * * * [progress]: localizing error 0.640 * * * [progress]: generating rewritten candidates 0.640 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.657 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.673 * * * [progress]: generating series expansions 0.673 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.673 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x (- (pow x 2) (pow y 2))) (- x y))) in (x y) around 0 0.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x (- (pow x 2) (pow y 2))) (- x y))) in y 0.673 * [taylor]: Taking taylor expansion of 2.0 in y 0.673 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in y 0.673 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in y 0.673 * [taylor]: Taking taylor expansion of x in y 0.673 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (- x y) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x (- (pow x 2) (pow y 2))) (- x y))) in x 0.674 * [taylor]: Taking taylor expansion of 2.0 in x 0.674 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in x 0.674 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.675 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [taylor]: Taking taylor expansion of (- x y) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.675 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x (- (pow x 2) (pow y 2))) (- x y))) in x 0.676 * [taylor]: Taking taylor expansion of 2.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ (* x (- (pow x 2) (pow y 2))) (- x y)) in x 0.676 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.676 * [taylor]: Taking taylor expansion of (- x y) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of y in x 0.677 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.677 * [taylor]: Taking taylor expansion of 2.0 in y 0.677 * [taylor]: Taking taylor expansion of y in y 0.680 * [taylor]: Taking taylor expansion of 2.0 in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x))) in (x y) around 0 0.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x))) in y 0.689 * [taylor]: Taking taylor expansion of 2.0 in y 0.689 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in y 0.689 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.690 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x))) in x 0.691 * [taylor]: Taking taylor expansion of 2.0 in x 0.691 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in x 0.691 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.692 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.692 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x))) in x 0.694 * [taylor]: Taking taylor expansion of 2.0 in x 0.694 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) x)) in x 0.694 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.694 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.695 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of 2.0 in y 0.701 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.701 * [taylor]: Taking taylor expansion of 2.0 in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.711 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in (x y) around 0 0.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in y 0.719 * [taylor]: Taking taylor expansion of -2.0 in y 0.719 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in y 0.719 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.719 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.719 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in y 0.720 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in x 0.721 * [taylor]: Taking taylor expansion of -2.0 in x 0.721 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in x 0.721 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in x 0.722 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x))) in x 0.725 * [taylor]: Taking taylor expansion of -2.0 in x 0.725 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 y) (/ 1 x)) x)) in x 0.725 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) x) in x 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of 2.0 in y 0.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.736 * [taylor]: Taking taylor expansion of 2.0 in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of 0 in y 0.748 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.756 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.757 * [approximate]: Taking taylor expansion of (* 2.0 (* x (- (pow x 2) (pow y 2)))) in (x y) around 0 0.757 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- (pow x 2) (pow y 2)))) in y 0.757 * [taylor]: Taking taylor expansion of 2.0 in y 0.757 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in y 0.757 * [taylor]: Taking taylor expansion of x in y 0.757 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.757 * [taylor]: Taking taylor expansion of x in y 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.757 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- (pow x 2) (pow y 2)))) in x 0.757 * [taylor]: Taking taylor expansion of 2.0 in x 0.757 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of (* 2.0 (* x (- (pow x 2) (pow y 2)))) in x 0.757 * [taylor]: Taking taylor expansion of 2.0 in x 0.757 * [taylor]: Taking taylor expansion of (* x (- (pow x 2) (pow y 2))) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.758 * [taylor]: Taking taylor expansion of 0 in y 0.759 * [taylor]: Taking taylor expansion of (- (* 2.0 (pow y 2))) in y 0.759 * [taylor]: Taking taylor expansion of (* 2.0 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of 2.0 in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of 0 in y 0.764 * [taylor]: Taking taylor expansion of 2.0 in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [approximate]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in (x y) around 0 0.771 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in y 0.771 * [taylor]: Taking taylor expansion of 2.0 in y 0.771 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in y 0.771 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.771 * [taylor]: Taking taylor expansion of y in y 0.771 * [taylor]: Taking taylor expansion of x in y 0.772 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in x 0.772 * [taylor]: Taking taylor expansion of 2.0 in x 0.772 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in x 0.772 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.772 * [taylor]: Taking taylor expansion of y in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (* 2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in x 0.773 * [taylor]: Taking taylor expansion of 2.0 in x 0.773 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in x 0.773 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.773 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.774 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of 2.0 in y 0.776 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.779 * [taylor]: Taking taylor expansion of 2.0 in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 0 in y 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [approximate]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in (x y) around 0 0.793 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in y 0.793 * [taylor]: Taking taylor expansion of -2.0 in y 0.793 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in y 0.793 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.794 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in x 0.794 * [taylor]: Taking taylor expansion of -2.0 in x 0.794 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in x 0.794 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x)) in x 0.795 * [taylor]: Taking taylor expansion of -2.0 in x 0.795 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) x) in x 0.795 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of -2.0 in y 0.799 * [taylor]: Taking taylor expansion of 0 in y 0.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.801 * [taylor]: Taking taylor expansion of 2.0 in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.806 * [taylor]: Taking taylor expansion of 0 in y 0.811 * [taylor]: Taking taylor expansion of 0 in y 0.813 * * * [progress]: simplifying candidates 0.817 * [simplify]: Simplifying using # : (- (+ (log x) (+ (log (- (* x x) (* y y))) (log 2.0))) (log (- x y))) (- (+ (log x) (log (* (- (* x x) (* y y)) 2.0))) (log (- x y))) (- (log (* x (* (- (* x x) (* y y)) 2.0))) (log (- x y))) (log (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (exp (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (/ (* (* (* x x) x) (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* 2.0 2.0) 2.0))) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* x x) x) (* (* (* (- (* x x) (* y y)) 2.0) (* (- (* x x) (* y y)) 2.0)) (* (- (* x x) (* y y)) 2.0))) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0))) (* x (* (- (* x x) (* y y)) 2.0))) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (cbrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y)))) (cbrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (* (* (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y)) (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (sqrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (sqrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (- (* x (* (- (* x x) (* y y)) 2.0))) (- (- x y)) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (- (* x x) (* y y)) 2.0) (cbrt (- x y))) (/ x (sqrt (- x y))) (/ (* (- (* x x) (* y y)) 2.0) (sqrt (- x y))) (/ x 1) (/ (* (- (* x x) (* y y)) 2.0) (- x y)) (/ x (+ (sqrt x) (sqrt y))) (/ (* (- (* x x) (* y y)) 2.0) (- (sqrt x) (sqrt y))) (/ x 1) (/ (* (- (* x x) (* y y)) 2.0) (- x y)) (/ 1 (- x y)) (/ (- x y) (* x (* (- (* x x) (* y y)) 2.0))) (/ (* x (* (- (* x x) (* y y)) 2.0)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x (* (- (* x x) (* y y)) 2.0)) (sqrt (- x y))) (/ (* x (* (- (* x x) (* y y)) 2.0)) 1) (/ (* x (* (- (* x x) (* y y)) 2.0)) (+ (sqrt x) (sqrt y))) (/ (* x (* (- (* x x) (* y y)) 2.0)) 1) (/ (- x y) (* (- (* x x) (* y y)) 2.0)) (/ (* x (* (- (* x x) (* y y)) 2.0)) (- (pow x 3) (pow y 3))) (/ (* x (* (- (* x x) (* y y)) 2.0)) (- (* x x) (* y y))) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- x y) (+ (* x x) (* y y))) (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (+ (log x) (+ (log (- (* x x) (* y y))) (log 2.0))) (+ (log x) (log (* (- (* x x) (* y y)) 2.0))) (log (* x (* (- (* x x) (* y y)) 2.0))) (exp (* x (* (- (* x x) (* y y)) 2.0))) (* (* (* x x) x) (* (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (* 2.0 2.0) 2.0))) (* (* (* x x) x) (* (* (* (- (* x x) (* y y)) 2.0) (* (- (* x x) (* y y)) 2.0)) (* (- (* x x) (* y y)) 2.0))) (* (cbrt (* x (* (- (* x x) (* y y)) 2.0))) (cbrt (* x (* (- (* x x) (* y y)) 2.0)))) (cbrt (* x (* (- (* x x) (* y y)) 2.0))) (* (* (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0))) (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (* x (- (* x x) (* y y))) (* (cbrt x) (* (- (* x x) (* y y)) 2.0)) (* (sqrt x) (* (- (* x x) (* y y)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- (pow (* x x) 3) (pow (* y y) 3)) 2.0)) (* x (* (- (* (* x x) (* x x)) (* (* y y) (* y y))) 2.0)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (- (* 2.0 (pow x 3)) (* 2.0 (* x (pow y 2)))) (- (* 2.0 (pow x 3)) (* 2.0 (* x (pow y 2)))) (- (* 2.0 (pow x 3)) (* 2.0 (* x (pow y 2)))) 0.822 * * [simplify]: iteration 0 : 338 enodes (cost 491 ) 0.830 * * [simplify]: iteration 1 : 1806 enodes (cost 398 ) 0.866 * * [simplify]: iteration 2 : 5002 enodes (cost 398 ) 0.868 * [simplify]: Simplified to: (log (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (log (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (log (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (log (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (exp (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (pow (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y)) 3) (pow (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y)) 3) (pow (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y)) 3) (* (cbrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (cbrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y)))) (cbrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (pow (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y)) 3) (sqrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (sqrt (/ (* x (* (- (* x x) (* y y)) 2.0)) (- x y))) (- (* x (* (- (* x x) (* y y)) 2.0))) (- (- x y)) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (- (* x x) (* y y)) 2.0) (cbrt (- x y))) (/ x (sqrt (- x y))) (/ (* (- (* x x) (* y y)) 2.0) (sqrt (- x y))) x (/ (* (- (* x x) (* y y)) 2.0) (- x y)) (/ x (+ (sqrt x) (sqrt y))) (/ (* (- (* x x) (* y y)) 2.0) (- (sqrt x) (sqrt y))) x (/ (* (- (* x x) (* y y)) 2.0) (- x y)) (/ 1 (- x y)) (/ (- x y) (* x (* (- (* x x) (* y y)) 2.0))) (/ (* x (* (- (* x x) (* y y)) 2.0)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x (* (- (* x x) (* y y)) 2.0)) (sqrt (- x y))) (* x (* (- (* x x) (* y y)) 2.0)) (/ (* x (* (- (* x x) (* y y)) 2.0)) (+ (sqrt x) (sqrt y))) (* x (* (- (* x x) (* y y)) 2.0)) (/ (- x y) (* (- (* x x) (* y y)) 2.0)) (/ (* x (* (- (* x x) (* y y)) 2.0)) (- (pow x 3) (pow y 3))) (/ (* x (* (- (* x x) (* y y)) 2.0)) (- (* x x) (* y y))) (* (+ (* (pow y 2) (+ (pow y 2) (pow x 2))) (* (* x x) (* x x))) (- x y)) (* (- x y) (+ (* x x) (* y y))) (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (log (* x (* (- (* x x) (* y y)) 2.0))) (log (* x (* (- (* x x) (* y y)) 2.0))) (log (* x (* (- (* x x) (* y y)) 2.0))) (exp (* x (* (- (* x x) (* y y)) 2.0))) (pow (* x (* (- (* x x) (* y y)) 2.0)) 3) (pow (* x (* (- (* x x) (* y y)) 2.0)) 3) (* (cbrt (* x (* (- (* x x) (* y y)) 2.0))) (cbrt (* x (* (- (* x x) (* y y)) 2.0)))) (cbrt (* x (* (- (* x x) (* y y)) 2.0))) (pow (* x (* (- (* x x) (* y y)) 2.0)) 3) (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (sqrt (* x (* (- (* x x) (* y y)) 2.0))) (* x (- (* x x) (* y y))) (* (cbrt x) (* (- (* x x) (* y y)) 2.0)) (* (sqrt x) (* (- (* x x) (* y y)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- (pow (* x x) 3) (pow (* y y) 3)) 2.0)) (* x (+ (* 2.0 (pow x 4)) (* 2.0 (* (- (pow y 3)) y)))) (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0) (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) (* x (* (- (* x x) (* y y)) 2.0)) 0.869 * * * [progress]: adding candidates to table 0.961 * [progress]: [Phase 3 of 3] Extracting. 0.961 * * [regime]: Finding splitpoints for: (# # #) 0.962 * * * [regime-changes]: Trying 4 branch expressions: ((+ (* x x) (* x y)) (* 2.0 (+ (* x x) (* x y))) y x) 0.962 * * * * [regimes]: Trying to branch on (+ (* x x) (* x y)) from (# # #) 0.976 * * * * [regimes]: Trying to branch on (* 2.0 (+ (* x x) (* x y))) from (# # #) 0.989 * * * * [regimes]: Trying to branch on y from (# # #) 1.001 * * * * [regimes]: Trying to branch on x from (# # #) 1.016 * * * [regime]: Found split indices: #