6.681 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (* x (- 1.0 y)) 0.014 * * [simplify]: iteration 0 : 8 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 15 enodes (cost 2 ) 0.016 * * [simplify]: iteration 2 : 21 enodes (cost 2 ) 0.018 * * [simplify]: iteration 3 : 26 enodes (cost 2 ) 0.019 * * [simplify]: iteration 4 : 26 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (* x (- 1.0 y)) 0.020 * * [progress]: iteration 1 / 4 0.020 * * * [progress]: picking best candidate 0.021 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.025 * * * [progress]: generating rewritten candidates 0.025 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (* (- 1.0 y) x) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in y 0.036 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.036 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of 1.0 in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.043 * [taylor]: Taking taylor expansion of 1.0 in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in y 0.054 * [taylor]: Taking taylor expansion of -1 in y 0.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 1.0 in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.054 * [taylor]: Taking taylor expansion of -1 in x 0.054 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.055 * [taylor]: Taking taylor expansion of -1 in x 0.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1.0 in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) 1.0)) in y 0.055 * [taylor]: Taking taylor expansion of -1 in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * * * [progress]: simplifying candidates 0.074 * [simplify]: Simplifying using # : (* x (- 1.0 y)) (+ (log x) (log (- 1.0 y))) (log (* x (- 1.0 y))) (exp (* x (- 1.0 y))) (* (* (* x x) x) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* x (- 1.0 y))) (cbrt (* x (- 1.0 y)))) (cbrt (* x (- 1.0 y))) (* (* (* x (- 1.0 y)) (* x (- 1.0 y))) (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* x 1.0) (* x (- y)) (* x 1.0) (* x (- y)) (* 1.0 x) (* (- y) x) (* 1.0 x) (* (- y) x) (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* x (sqrt (- 1.0 y))) (* x 1) (* x (+ (sqrt 1.0) (sqrt y))) (* x 1) (* (cbrt x) (- 1.0 y)) (* (sqrt x) (- 1.0 y)) (* x (- 1.0 y)) (* x (- (pow 1.0 3) (pow y 3))) (* x (- (* 1.0 1.0) (* y y))) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) 0.077 * * [simplify]: iteration 0 : 112 enodes (cost 101 ) 0.079 * * [simplify]: iteration 1 : 437 enodes (cost 88 ) 0.087 * * [simplify]: iteration 2 : 1550 enodes (cost 88 ) 0.112 * * [simplify]: iteration 3 : 5001 enodes (cost 88 ) 0.113 * [simplify]: Simplified to: (* x (- 1.0 y)) (log (* x (- 1.0 y))) (log (* x (- 1.0 y))) (exp (* x (- 1.0 y))) (pow (* x (- 1.0 y)) 3) (* (cbrt (* x (- 1.0 y))) (cbrt (* x (- 1.0 y)))) (cbrt (* x (- 1.0 y))) (pow (* x (- 1.0 y)) 3) (sqrt (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* x 1.0) (* x (- y)) (* x 1.0) (* x (- y)) (* x 1.0) (* x (- y)) (* x 1.0) (* x (- y)) (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* x (sqrt (- 1.0 y))) x (* x (+ (sqrt 1.0) (sqrt y))) x (* (cbrt x) (- 1.0 y)) (* (sqrt x) (- 1.0 y)) (* x (- 1.0 y)) (* x (- (pow 1.0 3) (pow y 3))) (* x (- (* 1.0 1.0) (* y y))) (* x (- 1.0 y)) (* x (- 1.0 y)) (* x (- 1.0 y)) 0.113 * * * [progress]: adding candidates to table 0.149 * * [progress]: iteration 2 / 4 0.149 * * * [progress]: picking best candidate 0.150 * * * * [pick]: Picked # 0.150 * * * [progress]: localizing error 0.158 * * * [progress]: generating rewritten candidates 0.158 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.171 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.184 * * * [progress]: generating series expansions 0.184 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.184 * [approximate]: Taking taylor expansion of (/ (* x (- 1.0 (pow y 2))) (+ y 1.0)) in (x y) around 0 0.184 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow y 2))) (+ y 1.0)) in y 0.184 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 2))) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of 1.0 in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of 1.0 in y 0.185 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow y 2))) (+ y 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ (* x (- 1.0 (pow y 2))) (+ y 1.0)) in x 0.187 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [taylor]: Taking taylor expansion of (/ (- 1.0 (pow y 2)) (+ y 1.0)) in y 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of 1.0 in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 1.0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (* x (+ (/ 1 y) 1.0))) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (* x (+ (/ 1 y) 1.0))) in y 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.203 * [taylor]: Taking taylor expansion of 1.0 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of 1.0 in y 0.205 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (* x (+ (/ 1 y) 1.0))) in x 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (* x (+ (/ 1 y) 1.0))) in x 0.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) 1.0)) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of 1.0 in x 0.208 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (+ (/ 1 y) 1.0)) in y 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.208 * [taylor]: Taking taylor expansion of 1.0 in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 1.0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) (* x (- 1.0 (/ 1 y))))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) (* x (- 1.0 (/ 1 y))))) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (* x (- 1.0 (/ 1 y)))) in y 0.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.233 * [taylor]: Taking taylor expansion of 1.0 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of 1.0 in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) (* x (- 1.0 (/ 1 y))))) in x 0.235 * [taylor]: Taking taylor expansion of -1 in x 0.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (* x (- 1.0 (/ 1 y)))) in x 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.235 * [taylor]: Taking taylor expansion of 1.0 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) (* x (- 1.0 (/ 1 y))))) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (* x (- 1.0 (/ 1 y)))) in x 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (* x (- 1.0 (/ 1 y))) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.237 * [taylor]: Taking taylor expansion of 1.0 in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) (- 1.0 (/ 1 y)))) in y 0.238 * [taylor]: Taking taylor expansion of -1 in y 0.238 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) (- 1.0 (/ 1 y))) in y 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.238 * [taylor]: Taking taylor expansion of 1.0 in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.239 * [taylor]: Taking taylor expansion of 1.0 in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.274 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.274 * [approximate]: Taking taylor expansion of (* x (- 1.0 (pow y 2))) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 2))) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 2))) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (* x (- 1.0 (pow y 2))) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [taylor]: Taking taylor expansion of (- 1.0 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) x) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) x) in y 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.280 * [taylor]: Taking taylor expansion of 1.0 in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) x) in x 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.281 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) x) in x 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.282 * [taylor]: Taking taylor expansion of 1.0 in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) x)) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) x)) in y 0.303 * [taylor]: Taking taylor expansion of -1 in y 0.303 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) x) in y 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.303 * [taylor]: Taking taylor expansion of 1.0 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) x)) in x 0.304 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) x) in x 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.304 * [taylor]: Taking taylor expansion of 1.0 in x 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 (pow y 2))) x)) in x 0.304 * [taylor]: Taking taylor expansion of -1 in x 0.304 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 (pow y 2))) x) in x 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 (pow y 2)))) in y 0.305 * [taylor]: Taking taylor expansion of -1 in y 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow y 2))) in y 0.305 * [taylor]: Taking taylor expansion of 1.0 in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.332 * * * [progress]: simplifying candidates 0.333 * [simplify]: Simplifying using # : (- (+ (log x) (log (- (* 1.0 1.0) (* y y)))) (log (+ 1.0 y))) (- (log (* x (- (* 1.0 1.0) (* y y)))) (log (+ 1.0 y))) (log (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (exp (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (/ (* (* (* x x) x) (* (* (- (* 1.0 1.0) (* y y)) (- (* 1.0 1.0) (* y y))) (- (* 1.0 1.0) (* y y)))) (* (* (+ 1.0 y) (+ 1.0 y)) (+ 1.0 y))) (/ (* (* (* x (- (* 1.0 1.0) (* y y))) (* x (- (* 1.0 1.0) (* y y)))) (* x (- (* 1.0 1.0) (* y y)))) (* (* (+ 1.0 y) (+ 1.0 y)) (+ 1.0 y))) (* (cbrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (cbrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))) (cbrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (* (* (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y)) (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (sqrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (sqrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (- (* x (- (* 1.0 1.0) (* y y)))) (- (+ 1.0 y)) (/ x (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (/ (- (* 1.0 1.0) (* y y)) (cbrt (+ 1.0 y))) (/ x (sqrt (+ 1.0 y))) (/ (- (* 1.0 1.0) (* y y)) (sqrt (+ 1.0 y))) (/ x 1) (/ (- (* 1.0 1.0) (* y y)) (+ 1.0 y)) (/ x 1) (/ (- (* 1.0 1.0) (* y y)) (+ 1.0 y)) (/ 1 (+ 1.0 y)) (/ (+ 1.0 y) (* x (- (* 1.0 1.0) (* y y)))) (/ (* x (- (* 1.0 1.0) (* y y))) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (/ (* x (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y))) (/ (* x (- (* 1.0 1.0) (* y y))) 1) (/ (* x (- (* 1.0 1.0) (* y y))) 1) (/ (+ 1.0 y) (- (* 1.0 1.0) (* y y))) (/ (* x (- (* 1.0 1.0) (* y y))) (+ (pow 1.0 3) (pow y 3))) (/ (* x (- (* 1.0 1.0) (* y y))) (- (* 1.0 1.0) (* y y))) (* (+ 1.0 y) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (+ (* (* y y) (* y y)) (* (* 1.0 1.0) (* y y))))) (* (+ 1.0 y) (+ (* 1.0 1.0) (* y y))) (* x (- (* 1.0 1.0) (* y y))) (+ (log x) (log (- (* 1.0 1.0) (* y y)))) (log (* x (- (* 1.0 1.0) (* y y)))) (exp (* x (- (* 1.0 1.0) (* y y)))) (* (* (* x x) x) (* (* (- (* 1.0 1.0) (* y y)) (- (* 1.0 1.0) (* y y))) (- (* 1.0 1.0) (* y y)))) (* (cbrt (* x (- (* 1.0 1.0) (* y y)))) (cbrt (* x (- (* 1.0 1.0) (* y y))))) (cbrt (* x (- (* 1.0 1.0) (* y y)))) (* (* (* x (- (* 1.0 1.0) (* y y))) (* x (- (* 1.0 1.0) (* y y)))) (* x (- (* 1.0 1.0) (* y y)))) (sqrt (* x (- (* 1.0 1.0) (* y y)))) (sqrt (* x (- (* 1.0 1.0) (* y y)))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* y y)))) (* x (* 1.0 1.0)) (* x (- (* y y))) (* x (* 1.0 1.0)) (* x (- (* y y))) (* (* 1.0 1.0) x) (* (- (* y y)) x) (* (* 1.0 1.0) x) (* (- (* y y)) x) (* x (* (cbrt (- (* 1.0 1.0) (* y y))) (cbrt (- (* 1.0 1.0) (* y y))))) (* x (sqrt (- (* 1.0 1.0) (* y y)))) (* x 1) (* x (+ 1.0 y)) (* (cbrt x) (- (* 1.0 1.0) (* y y))) (* (sqrt x) (- (* 1.0 1.0) (* y y))) (* x (- (* 1.0 1.0) (* y y))) (* x (- (pow (* 1.0 1.0) 3) (pow (* y y) 3))) (* x (- (* (* 1.0 1.0) (* 1.0 1.0)) (* (* y y) (* y y)))) (- (* 1.0 x) (* 1.0 (* x y))) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) (* 1.0 x) (- (* 1.0 x) (* x (pow y 2))) (- (* 1.0 x) (* x (pow y 2))) 0.337 * * [simplify]: iteration 0 : 295 enodes (cost 399 ) 0.344 * * [simplify]: iteration 1 : 1474 enodes (cost 329 ) 0.375 * * [simplify]: iteration 2 : 5001 enodes (cost 325 ) 0.381 * [simplify]: Simplified to: (log (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (log (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (log (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (exp (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (pow (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y)) 3) (pow (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y)) 3) (* (cbrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (cbrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))) (cbrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (pow (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y)) 3) (sqrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (sqrt (/ (* x (- (* 1.0 1.0) (* y y))) (+ 1.0 y))) (- (* x (- (* 1.0 1.0) (* y y)))) (- (+ 1.0 y)) (/ x (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (/ (- (* 1.0 1.0) (* y y)) (cbrt (+ 1.0 y))) (/ x (sqrt (+ 1.0 y))) (/ (- (* 1.0 1.0) (* y y)) (sqrt (+ 1.0 y))) x (/ (- (* 1.0 1.0) (* y y)) (+ 1.0 y)) x (/ (- (* 1.0 1.0) (* y y)) (+ 1.0 y)) (/ 1 (+ 1.0 y)) (/ (+ 1.0 y) (* x (- (* 1.0 1.0) (* y y)))) (/ (* x (- (* 1.0 1.0) (* y y))) (* (cbrt (+ 1.0 y)) (cbrt (+ 1.0 y)))) (/ (* x (- (* 1.0 1.0) (* y y))) (sqrt (+ 1.0 y))) (* x (- (* 1.0 1.0) (* y y))) (* x (- (* 1.0 1.0) (* y y))) (/ 1 (- 1.0 y)) (/ (* x (- (* 1.0 1.0) (* y y))) (+ (pow 1.0 3) (pow y 3))) x (* (+ (* (pow y 2) (+ (pow y 2) (* 1.0 1.0))) (* (pow 1.0 3) 1.0)) (+ 1.0 y)) (* (+ 1.0 y) (+ (* 1.0 1.0) (* y y))) (* x (- (* 1.0 1.0) (* y y))) (log (* x (- (* 1.0 1.0) (* y y)))) (log (* x (- (* 1.0 1.0) (* y y)))) (exp (* x (- (* 1.0 1.0) (* y y)))) (pow (* x (- (* 1.0 1.0) (* y y))) 3) (* (cbrt (* x (- (* 1.0 1.0) (* y y)))) (cbrt (* x (- (* 1.0 1.0) (* y y))))) (cbrt (* x (- (* 1.0 1.0) (* y y)))) (pow (* x (- (* 1.0 1.0) (* y y))) 3) (sqrt (* x (- (* 1.0 1.0) (* y y)))) (sqrt (* x (- (* 1.0 1.0) (* y y)))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* y y)))) (* (sqrt x) (sqrt (- (* 1.0 1.0) (* y y)))) (* x (* 1.0 1.0)) (* x (- (* y y))) (* x (* 1.0 1.0)) (* x (- (* y y))) (* x (* 1.0 1.0)) (* x (- (* y y))) (* x (* 1.0 1.0)) (* x (- (* y y))) (* x (* (cbrt (- (* 1.0 1.0) (* y y))) (cbrt (- (* 1.0 1.0) (* y y))))) (* x (sqrt (- (* 1.0 1.0) (* y y)))) x (* x (+ 1.0 y)) (* (cbrt x) (- (* 1.0 1.0) (* y y))) (* (sqrt x) (- (* 1.0 1.0) (* y y))) (* x (- (* 1.0 1.0) (* y y))) (* x (- (pow (* 1.0 1.0) 3) (pow (* y y) 3))) (+ (- (* x (pow y 4))) (* x (pow 1.0 4))) (* 1.0 (- x (* x y))) (* x (- 1.0 y)) (* x (- 1.0 y)) (* 1.0 x) (* x (- 1.0 (pow y 2))) (* x (- 1.0 (pow y 2))) 0.381 * * * [progress]: adding candidates to table 0.477 * [progress]: [Phase 3 of 3] Extracting. 0.477 * * [regime]: Finding splitpoints for: (# #) 0.477 * * * [regime-changes]: Trying 4 branch expressions: ((- 1.0 y) (* x (- 1.0 y)) y x) 0.477 * * * * [regimes]: Trying to branch on (- 1.0 y) from (# #) 0.491 * * * * [regimes]: Trying to branch on (* x (- 1.0 y)) from (# #) 0.502 * * * * [regimes]: Trying to branch on y from (# #) 0.513 * * * * [regimes]: Trying to branch on x from (# #) 0.527 * * * [regime]: Found split indices: #