29.798 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.032 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.037 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.038 * [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 (* 1/2 (sqrt (/ 1 y))) in y 0.040 * [taylor]: Taking taylor expansion of 1/2 in y 0.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.057 * [taylor]: Taking taylor expansion of 1/2 in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of -1/8 in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.072 * [taylor]: Taking taylor expansion of -1/2 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 (/ -1/8 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of -1/8 in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.078 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of 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 (pow x 2)) (/ 1 y)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.088 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * [progress]: simplifying candidates 0.097 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.100 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.103 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.112 * * [simplify]: iteration 2 : 1515 enodes (cost 138 ) 0.144 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.146 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* +nan.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.146 * * * [progress]: adding candidates to table 0.198 * * [progress]: iteration 2 / 4 0.198 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.204 * * * [progress]: generating rewritten candidates 0.204 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.207 * * * [progress]: generating series expansions 0.207 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.207 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.207 * [taylor]: Taking taylor expansion of 1/2 in y 0.207 * [taylor]: Taking taylor expansion of (/ y x) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.207 * [taylor]: Taking taylor expansion of 1/2 in x 0.207 * [taylor]: Taking taylor expansion of (/ y x) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.208 * [taylor]: Taking taylor expansion of 1/2 in x 0.208 * [taylor]: Taking taylor expansion of (/ y x) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.208 * [taylor]: Taking taylor expansion of 1/2 in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 1 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.215 * [taylor]: Taking taylor expansion of 1/2 in y 0.215 * [taylor]: Taking taylor expansion of (/ x y) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.215 * [taylor]: Taking taylor expansion of 1/2 in x 0.215 * [taylor]: Taking taylor expansion of (/ x y) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.215 * [taylor]: Taking taylor expansion of 1/2 in x 0.215 * [taylor]: Taking taylor expansion of (/ x y) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of 1 in y 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.217 * [taylor]: Taking taylor expansion of 1/2 in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.219 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.221 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.221 * [taylor]: Taking taylor expansion of 1/2 in y 0.221 * [taylor]: Taking taylor expansion of (/ x y) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.221 * [taylor]: Taking taylor expansion of x in y 0.221 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.221 * [taylor]: Taking taylor expansion of 1/2 in x 0.221 * [taylor]: Taking taylor expansion of (/ x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.222 * [taylor]: Taking taylor expansion of 1/2 in x 0.222 * [taylor]: Taking taylor expansion of (/ x y) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of -1 in y 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.224 * [taylor]: Taking taylor expansion of 1/2 in y 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * * * [progress]: simplifying candidates 0.229 * [simplify]: Simplifying using # : (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.232 * * [simplify]: iteration 0 : 83 enodes (cost 76 ) 0.234 * * [simplify]: iteration 1 : 297 enodes (cost 69 ) 0.240 * * [simplify]: iteration 2 : 1101 enodes (cost 69 ) 0.261 * * [simplify]: iteration 3 : 3891 enodes (cost 69 ) 0.330 * * [simplify]: iteration 4 : 5001 enodes (cost 69 ) 0.331 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.331 * * * [progress]: adding candidates to table 0.351 * * [progress]: iteration 3 / 4 0.351 * * * [progress]: picking best candidate 0.352 * * * * [pick]: Picked # 0.353 * * * [progress]: localizing error 0.358 * * * [progress]: generating rewritten candidates 0.358 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.360 * * * [progress]: generating series expansions 0.361 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.361 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.361 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.361 * [taylor]: Taking taylor expansion of 1/2 in y 0.361 * [taylor]: Taking taylor expansion of (/ y x) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of x in y 0.361 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.361 * [taylor]: Taking taylor expansion of 1/2 in x 0.361 * [taylor]: Taking taylor expansion of (/ y x) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.361 * [taylor]: Taking taylor expansion of 1/2 in x 0.361 * [taylor]: Taking taylor expansion of (/ y x) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.361 * [taylor]: Taking taylor expansion of 1/2 in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [taylor]: Taking taylor expansion of 1 in y 0.367 * [taylor]: Taking taylor expansion of 0 in y 0.368 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.368 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.368 * [taylor]: Taking taylor expansion of 1/2 in y 0.368 * [taylor]: Taking taylor expansion of (/ x y) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.368 * [taylor]: Taking taylor expansion of 1/2 in x 0.368 * [taylor]: Taking taylor expansion of (/ x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.369 * [taylor]: Taking taylor expansion of 1/2 in x 0.369 * [taylor]: Taking taylor expansion of (/ x y) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.370 * [taylor]: Taking taylor expansion of 1/2 in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.374 * [taylor]: Taking taylor expansion of 1/2 in y 0.375 * [taylor]: Taking taylor expansion of (/ x y) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.375 * [taylor]: Taking taylor expansion of 1/2 in x 0.375 * [taylor]: Taking taylor expansion of (/ x y) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.375 * [taylor]: Taking taylor expansion of 1/2 in x 0.375 * [taylor]: Taking taylor expansion of (/ x y) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of -1 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.378 * [taylor]: Taking taylor expansion of 1/2 in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * * * [progress]: simplifying candidates 0.382 * [simplify]: Simplifying using # : (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.385 * * [simplify]: iteration 0 : 83 enodes (cost 76 ) 0.388 * * [simplify]: iteration 1 : 297 enodes (cost 69 ) 0.394 * * [simplify]: iteration 2 : 1101 enodes (cost 69 ) 0.415 * * [simplify]: iteration 3 : 3891 enodes (cost 69 ) 0.485 * * [simplify]: iteration 4 : 5001 enodes (cost 69 ) 0.486 * [simplify]: Simplified to: (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.486 * * * [progress]: adding candidates to table 0.503 * [progress]: [Phase 3 of 3] Extracting. 0.503 * * [regime]: Finding splitpoints for: (# # #) 0.504 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.504 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.522 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 0.538 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 0.561 * * * * [regimes]: Trying to branch on y from (# # #) 0.605 * * * * [regimes]: Trying to branch on x from (# # #) 0.628 * * * [regime]: Found split indices: #