15.149 * [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 # : (sqrt (+ (* x x) y)) 0.017 * [simplify]: Sending expressions to egg_math: (sqrt (+ (* h0 h0) h1)) 0.020 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.038 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.047 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.047 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.050 * [taylor]: Taking taylor expansion of 1/2 in y 0.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.055 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.057 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.063 * [taylor]: Taking taylor expansion of 1/2 in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.071 * [taylor]: Taking taylor expansion of -1/8 in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.073 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.073 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.073 * [taylor]: Taking taylor expansion of x in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.075 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.077 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.077 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.081 * [taylor]: Taking taylor expansion of -1/2 in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of -1/8 in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.088 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.088 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) 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 y in y 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * * * [progress]: simplifying candidates 0.106 * [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) 0.106 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) h1))) (exp (sqrt (+ (* h0 h0) h1))) (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1)))) (cbrt (sqrt (+ (* h0 h0) h1))) (* (* (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1))) (sqrt (+ (* h0 h0) h1))) (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1)))) (sqrt (cbrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt 1) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (pow (* h0 h0) 3) (pow h1 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1))) (sqrt (- (* h0 h0) h1)) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1))) (* (exp (* h0 h0)) (exp h1)) (log (+ (* h0 h0) h1)) (exp (+ (* h0 h0) h1)) (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))) (cbrt (+ (* h0 h0) h1)) (* (* (+ (* h0 h0) h1) (+ (* h0 h0) h1)) (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (sqrt (+ (* h0 h0) h1)) (+ (pow (* h0 h0) 3) (pow h1 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))) (- (* (* h0 h0) (* h0 h0)) (* h1 h1)) (- (* h0 h0) h1) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (+ h0 (* 1/2 (/ h1 h0))) (- (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 2) h1) (+ (pow h0 2) h1) (+ (pow h0 2) h1) 0.110 * * [simplify]: iteration 0 : 141 enodes (cost 152 ) 0.113 * * [simplify]: iteration 1 : 475 enodes (cost 139 ) 0.121 * * [simplify]: iteration 2 : 1515 enodes (cost 138 ) 0.155 * * [simplify]: iteration 3 : 5002 enodes (cost 136 ) 0.156 * [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) 0.156 * * * [progress]: adding candidates to table 0.224 * * [progress]: iteration 2 / 4 0.224 * * * [progress]: picking best candidate 0.229 * * * * [pick]: Picked # 0.229 * * * [progress]: localizing error 0.236 * * * [progress]: generating rewritten candidates 0.236 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.248 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.258 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.322 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.339 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.339 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.340 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.343 * [taylor]: Taking taylor expansion of 1/2 in y 0.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.348 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.356 * [taylor]: Taking taylor expansion of 1/2 in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.360 * [taylor]: Taking taylor expansion of -1/8 in y 0.360 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.362 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.362 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.366 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.367 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.367 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of 1 in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.370 * [taylor]: Taking taylor expansion of -1/2 in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.375 * [taylor]: Taking taylor expansion of -1/8 in y 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.377 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.380 * [taylor]: Taking taylor expansion of 1/2 in y 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.388 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of 1 in y 0.395 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.397 * [taylor]: Taking taylor expansion of 1/2 in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of -1/8 in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.403 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.404 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.411 * [taylor]: Taking taylor expansion of -1/2 in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.415 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of -1/8 in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.417 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.417 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.417 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.421 * [taylor]: Taking taylor expansion of 1/2 in y 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.425 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.425 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of 1 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.433 * [taylor]: Taking taylor expansion of 1/2 in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.438 * [taylor]: Taking taylor expansion of -1/8 in y 0.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.439 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.439 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.439 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.439 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.443 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.446 * [taylor]: Taking taylor expansion of 1 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.448 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.448 * [taylor]: Taking taylor expansion of -1/2 in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.452 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of -1/8 in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.454 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.454 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in (x y) around 0 0.454 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in y 0.454 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in y 0.454 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in y 0.454 * [taylor]: Taking taylor expansion of 1/4 in y 0.454 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in y 0.454 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.454 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.454 * [taylor]: Taking taylor expansion of x in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) y) 1/4) in x 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.455 * [taylor]: Taking taylor expansion of 1/4 in x 0.455 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) 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 (pow (+ (pow x 2) y) 1/4) in x 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) y)))) in x 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) y))) in x 0.455 * [taylor]: Taking taylor expansion of 1/4 in x 0.455 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) y)) in x 0.455 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) 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 (pow y 1/4) in y 0.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log y))) in y 0.455 * [taylor]: Taking taylor expansion of (* 1/4 (log y)) in y 0.455 * [taylor]: Taking taylor expansion of 1/4 in y 0.455 * [taylor]: Taking taylor expansion of (log y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow y 3)) 1/4)) in y 0.461 * [taylor]: Taking taylor expansion of 1/4 in y 0.461 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 3)) 1/4) in y 0.461 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow y 3))))) in y 0.461 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow y 3)))) in y 0.461 * [taylor]: Taking taylor expansion of 1/4 in y 0.461 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 3))) in y 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.461 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.480 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in y 0.480 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in y 0.480 * [taylor]: Taking taylor expansion of 1/4 in y 0.481 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.482 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.482 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.482 * [taylor]: Taking taylor expansion of 1/4 in x 0.482 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.483 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y))))) in x 0.483 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (/ 1 y)))) in x 0.483 * [taylor]: Taking taylor expansion of 1/4 in x 0.483 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.485 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.485 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.485 * [taylor]: Taking taylor expansion of -1/2 in y 0.485 * [taylor]: Taking taylor expansion of (log x) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.492 * [taylor]: Taking taylor expansion of 1/4 in y 0.492 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [approximate]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in (x y) around 0 0.501 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in y 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in y 0.501 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in y 0.501 * [taylor]: Taking taylor expansion of 1/4 in y 0.501 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.501 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.503 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.503 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.503 * [taylor]: Taking taylor expansion of 1/4 in x 0.503 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.503 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (pow (- (/ 1 (pow x 2)) (/ 1 y)) 1/4) in x 0.504 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y))))) in x 0.504 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (/ 1 (pow x 2)) (/ 1 y)))) in x 0.504 * [taylor]: Taking taylor expansion of 1/4 in x 0.504 * [taylor]: Taking taylor expansion of (log (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (pow x -1/2) in y 0.506 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y 0.506 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y 0.506 * [taylor]: Taking taylor expansion of -1/2 in y 0.506 * [taylor]: Taking taylor expansion of (log x) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [taylor]: Taking taylor expansion of (* -1/4 (* (sqrt (/ 1 x)) (/ 1 y))) in y 0.513 * [taylor]: Taking taylor expansion of -1/4 in y 0.513 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 y)) in y 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.523 * * * [progress]: simplifying candidates 0.524 * [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 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(/ (/ 1 2) 2)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (sqrt (+ (* x x) y)))) (log (sqrt (sqrt (+ (* x x) y))))) (log (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (exp (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))))) (cbrt (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (* (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt 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h1)))) (* (* (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (* (cbrt (sqrt (+ (* h0 h0) h1))) (cbrt (sqrt (+ (* h0 h0) h1))))) (sqrt (cbrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (* (cbrt (+ (* h0 h0) h1)) (cbrt (+ (* h0 h0) h1))))) (sqrt (sqrt (cbrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt 1) (sqrt (sqrt (+ (* h0 h0) h1))) (sqrt (sqrt (+ (pow (* h0 h0) 3) (pow h1 3)))) (sqrt (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* h1 h1) (* (* h0 h0) h1))))) (sqrt (sqrt (- (* (* h0 h0) (* h0 h0)) (* h1 h1)))) (sqrt (sqrt (- (* h0 h0) h1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (sqrt (sqrt (sqrt (+ (* h0 h0) h1)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (+ h0 (* 1/2 (/ h1 h0))) (- (+ h0 (* 1/2 (/ h1 h0)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (+ h0 (* 1/2 (/ h1 h0))) (- (+ h0 (* 1/2 (/ h1 h0)))) (- (+ (* h2 (pow h0 2)) (- (+ (* h2 (pow h1 2)) (- (* h2 h1)))))) (+ h0 (* 1/2 (/ h1 h0))) (- (+ h0 (* 1/2 (/ h1 h0)))) (+ (* 1/4 (* (pow h0 2) (pow (/ 1 (pow h1 3)) 1/4))) (pow h1 1/4)) (pow (/ 1 h0) -1/2) (pow (/ -1 h0) -1/2) 0.532 * * [simplify]: iteration 0 : 264 enodes (cost 901 ) 0.538 * * [simplify]: iteration 1 : 1062 enodes (cost 835 ) 0.564 * * [simplify]: iteration 2 : 5001 enodes (cost 816 ) 0.568 * [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))) (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))) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* x x) y) (sqrt (+ (* x x) y)) (pow (sqrt (+ (* x x) y)) 4) (+ (* x x) y) (pow (sqrt (+ (* x x) y)) 4) 2 (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (+ (* x x) y) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 2 1/2 1 1/2 (* (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (cbrt (sqrt (sqrt (+ (* x x) y))))) (* (fabs (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (sqrt (+ (* x x) y))) (pow (cbrt (sqrt (sqrt (+ (* x x) y)))) 4) (* (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (pow (sqrt (sqrt (sqrt (+ (* x x) y)))) 3) (sqrt (+ (* x x) y)) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3))))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y))))) (log (sqrt (sqrt (+ (* x x) y)))) (exp (sqrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (sqrt (+ (* x x) y))))) (cbrt (sqrt (sqrt (+ (* x x) y)))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (fabs (cbrt (sqrt (+ (* x x) y)))) (sqrt (cbrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (sqrt (sqrt (cbrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) 1 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (pow (* x x) 3) (pow y 3)))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (sqrt (sqrt (- (* (* x x) (* x x)) (* y y)))) (sqrt (sqrt (- (* x x) y))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ (* x x) y)))) (sqrt (sqrt (sqrt (+ (* x x) y)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (* +nan.0 (+ (- (pow x 2)) (- (pow y 2) y))) (+ x (* 1/2 (/ y x))) (- (+ x (* 1/2 (/ y x)))) (+ (* 1/4 (* (pow x 2) (pow (/ 1 (pow y 3)) 1/4))) (pow y 1/4)) (pow (/ 1 x) -1/2) (pow (/ -1 x) -1/2) 0.569 * * * [progress]: adding candidates to table 0.824 * * [progress]: iteration 3 / 4 0.825 * * * [progress]: picking best candidate 0.827 * * * * [pick]: Picked # 0.827 * * * [progress]: localizing error 0.832 * * * [progress]: generating rewritten candidates 0.832 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.838 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.856 * * * [progress]: generating series expansions 0.856 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.856 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.856 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.856 * [taylor]: Taking taylor expansion of 1/2 in y 0.857 * [taylor]: Taking taylor expansion of (/ y x) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.857 * [taylor]: Taking taylor expansion of 1/2 in x 0.857 * [taylor]: Taking taylor expansion of (/ y x) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.857 * [taylor]: Taking taylor expansion of 1/2 in x 0.857 * [taylor]: Taking taylor expansion of (/ y x) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.857 * [taylor]: Taking taylor expansion of 1/2 in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [taylor]: Taking taylor expansion of 1 in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.863 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.864 * [taylor]: Taking taylor expansion of 1/2 in y 0.864 * [taylor]: Taking taylor expansion of (/ x y) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.864 * [taylor]: Taking taylor expansion of 1/2 in x 0.864 * [taylor]: Taking taylor expansion of (/ x y) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.864 * [taylor]: Taking taylor expansion of 1/2 in x 0.864 * [taylor]: Taking taylor expansion of (/ x y) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of 1 in y 0.865 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.866 * [taylor]: Taking taylor expansion of 1/2 in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.870 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.870 * [taylor]: Taking taylor expansion of 1/2 in y 0.870 * [taylor]: Taking taylor expansion of (/ x y) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.870 * [taylor]: Taking taylor expansion of x in y 0.870 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.870 * [taylor]: Taking taylor expansion of 1/2 in x 0.870 * [taylor]: Taking taylor expansion of (/ x y) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.870 * [taylor]: Taking taylor expansion of 1/2 in x 0.870 * [taylor]: Taking taylor expansion of (/ x y) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of y in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of -1 in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.873 * [taylor]: Taking taylor expansion of 1/2 in y 0.873 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.877 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.877 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.877 * [taylor]: Taking taylor expansion of 1/2 in x 0.877 * [taylor]: Taking taylor expansion of (/ y x) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.877 * [taylor]: Taking taylor expansion of 1/2 in y 0.877 * [taylor]: Taking taylor expansion of (/ y x) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.877 * [taylor]: Taking taylor expansion of 1/2 in y 0.877 * [taylor]: Taking taylor expansion of (/ y x) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.877 * [taylor]: Taking taylor expansion of 1/2 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of 0 in x 0.879 * [taylor]: Taking taylor expansion of 0 in x 0.880 * [taylor]: Taking taylor expansion of 0 in x 0.881 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.881 * [taylor]: Taking taylor expansion of 1/2 in x 0.881 * [taylor]: Taking taylor expansion of (/ x y) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.881 * [taylor]: Taking taylor expansion of 1/2 in y 0.881 * [taylor]: Taking taylor expansion of (/ x y) in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.881 * [taylor]: Taking taylor expansion of 1/2 in y 0.881 * [taylor]: Taking taylor expansion of (/ x y) in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.882 * [taylor]: Taking taylor expansion of 1/2 in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of 0 in x 0.884 * [taylor]: Taking taylor expansion of 0 in x 0.887 * [taylor]: Taking taylor expansion of 0 in x 0.887 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.887 * [taylor]: Taking taylor expansion of 1/2 in x 0.887 * [taylor]: Taking taylor expansion of (/ x y) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of y in x 0.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.887 * [taylor]: Taking taylor expansion of 1/2 in y 0.887 * [taylor]: Taking taylor expansion of (/ x y) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.887 * [taylor]: Taking taylor expansion of 1/2 in y 0.887 * [taylor]: Taking taylor expansion of (/ x y) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.888 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.888 * [taylor]: Taking taylor expansion of 1/2 in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of 0 in x 0.891 * [taylor]: Taking taylor expansion of 0 in x 0.893 * [taylor]: Taking taylor expansion of 0 in x 0.893 * * * [progress]: simplifying candidates 0.894 * [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))) (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.894 * [simplify]: Sending expressions to egg_math: (* (exp h0) (exp (* 1/2 (/ h1 h0)))) (log (+ h0 (* 1/2 (/ h1 h0)))) (exp (+ h0 (* 1/2 (/ h1 h0)))) (* (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (cbrt (+ h0 (* 1/2 (/ h1 h0))))) (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (* (* (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0)))) (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 3) (pow (* 1/2 (/ h1 h0)) 3)) (+ (* h0 h0) (- (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* h0 (* 1/2 (/ h1 h0))))) (- (* h0 h0) (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)))) (- h0 (* 1/2 (/ h1 h0))) (* 1/2 (/ h1 h0)) (+ (log 1/2) (- (log h1) (log h0))) (+ (log 1/2) (log (/ h1 h0))) (log (* 1/2 (/ h1 h0))) (exp (* 1/2 (/ h1 h0))) (* (* (* 1/2 1/2) 1/2) (/ (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* 1/2 1/2) 1/2) (* (* (/ h1 h0) (/ h1 h0)) (/ h1 h0))) (* (cbrt (* 1/2 (/ h1 h0))) (cbrt (* 1/2 (/ h1 h0)))) (cbrt (* 1/2 (/ h1 h0))) (* (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* 1/2 (/ h1 h0))) (sqrt (* 1/2 (/ h1 h0))) (sqrt (* 1/2 (/ h1 h0))) (* (sqrt 1/2) (sqrt (/ h1 h0))) (* (sqrt 1/2) (sqrt (/ h1 h0))) (* (sqrt 1/2) (/ (sqrt h1) (sqrt h0))) (* (sqrt 1/2) (/ (sqrt h1) (sqrt h0))) (* 1/2 (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (* 1/2 (sqrt (/ h1 h0))) (* 1/2 (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (* 1/2 (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (* 1/2 (/ (* (cbrt h1) (cbrt h1)) 1)) (* 1/2 (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (* 1/2 (/ (sqrt h1) (sqrt h0))) (* 1/2 (/ (sqrt h1) 1)) (* 1/2 (/ 1 (* (cbrt h0) (cbrt h0)))) (* 1/2 (/ 1 (sqrt h0))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 h1) (* (cbrt 1/2) (/ h1 h0)) (* (sqrt 1/2) (/ h1 h0)) (* 1/2 (/ h1 h0)) (* 1/2 h1) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)) 0.898 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.903 * * [simplify]: iteration 1 : 960 enodes (cost 187 ) 0.923 * * [simplify]: iteration 2 : 4238 enodes (cost 187 ) 0.995 * * [simplify]: iteration 3 : 5003 enodes (cost 187 ) 0.996 * [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))) (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 0.996 * * * [progress]: adding candidates to table 1.078 * * [progress]: iteration 4 / 4 1.078 * * * [progress]: picking best candidate 1.079 * * * * [pick]: Picked # 1.079 * * * [progress]: localizing error 1.085 * * * [progress]: generating rewritten candidates 1.085 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.091 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 1.106 * * * [progress]: generating series expansions 1.106 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.107 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 1.107 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 1.107 * [taylor]: Taking taylor expansion of x in y 1.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.107 * [taylor]: Taking taylor expansion of 1/2 in y 1.107 * [taylor]: Taking taylor expansion of (/ y x) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.107 * [taylor]: Taking taylor expansion of x in y 1.107 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.107 * [taylor]: Taking taylor expansion of 1/2 in x 1.107 * [taylor]: Taking taylor expansion of (/ y x) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.107 * [taylor]: Taking taylor expansion of 1/2 in x 1.107 * [taylor]: Taking taylor expansion of (/ y x) in x 1.107 * [taylor]: Taking taylor expansion of y in x 1.107 * [taylor]: Taking taylor expansion of x in x 1.107 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.107 * [taylor]: Taking taylor expansion of 1/2 in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of 1 in y 1.113 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 1.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.114 * [taylor]: Taking taylor expansion of 1/2 in y 1.114 * [taylor]: Taking taylor expansion of (/ x y) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.114 * [taylor]: Taking taylor expansion of 1/2 in x 1.114 * [taylor]: Taking taylor expansion of (/ x y) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.114 * [taylor]: Taking taylor expansion of 1/2 in x 1.114 * [taylor]: Taking taylor expansion of (/ x y) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of 1 in y 1.115 * [taylor]: Taking taylor expansion of 0 in y 1.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.116 * [taylor]: Taking taylor expansion of 1/2 in y 1.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.118 * [taylor]: Taking taylor expansion of 0 in y 1.120 * [taylor]: Taking taylor expansion of 0 in y 1.120 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 1.120 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 1.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.120 * [taylor]: Taking taylor expansion of 1/2 in y 1.120 * [taylor]: Taking taylor expansion of (/ x y) in y 1.120 * [taylor]: Taking taylor expansion of x in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.120 * [taylor]: Taking taylor expansion of x in y 1.120 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.120 * [taylor]: Taking taylor expansion of 1/2 in x 1.120 * [taylor]: Taking taylor expansion of (/ x y) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.121 * [taylor]: Taking taylor expansion of 1/2 in x 1.121 * [taylor]: Taking taylor expansion of (/ x y) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of -1 in y 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.123 * [taylor]: Taking taylor expansion of 1/2 in y 1.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.123 * [taylor]: Taking taylor expansion of y in y 1.125 * [taylor]: Taking taylor expansion of 0 in y 1.127 * [taylor]: Taking taylor expansion of 0 in y 1.127 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 1.127 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 1.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.127 * [taylor]: Taking taylor expansion of 1/2 in x 1.127 * [taylor]: Taking taylor expansion of (/ y x) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.127 * [taylor]: Taking taylor expansion of 1/2 in y 1.127 * [taylor]: Taking taylor expansion of (/ y x) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.127 * [taylor]: Taking taylor expansion of x in y 1.127 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.127 * [taylor]: Taking taylor expansion of 1/2 in y 1.127 * [taylor]: Taking taylor expansion of (/ y x) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.127 * [taylor]: Taking taylor expansion of x in y 1.128 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 1.128 * [taylor]: Taking taylor expansion of 1/2 in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.128 * [taylor]: Taking taylor expansion of 0 in x 1.129 * [taylor]: Taking taylor expansion of 0 in x 1.131 * [taylor]: Taking taylor expansion of 0 in x 1.131 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.131 * [taylor]: Taking taylor expansion of 1/2 in x 1.131 * [taylor]: Taking taylor expansion of (/ x y) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.131 * [taylor]: Taking taylor expansion of 1/2 in y 1.131 * [taylor]: Taking taylor expansion of (/ x y) in y 1.131 * [taylor]: Taking taylor expansion of x in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.132 * [taylor]: Taking taylor expansion of 1/2 in y 1.132 * [taylor]: Taking taylor expansion of (/ x y) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.132 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.132 * [taylor]: Taking taylor expansion of 1/2 in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of 0 in x 1.135 * [taylor]: Taking taylor expansion of 0 in x 1.137 * [taylor]: Taking taylor expansion of 0 in x 1.137 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.137 * [taylor]: Taking taylor expansion of 1/2 in x 1.137 * [taylor]: Taking taylor expansion of (/ x y) in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.137 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.137 * [taylor]: Taking taylor expansion of 1/2 in y 1.137 * [taylor]: Taking taylor expansion of (/ x y) in y 1.137 * [taylor]: Taking taylor expansion of x in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.137 * [taylor]: Taking taylor expansion of 1/2 in y 1.137 * [taylor]: Taking taylor expansion of (/ x y) in y 1.137 * [taylor]: Taking taylor expansion of x in y 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 1.137 * [taylor]: Taking taylor expansion of 1/2 in x 1.137 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of 0 in x 1.140 * [taylor]: Taking taylor expansion of 0 in x 1.143 * [taylor]: Taking taylor expansion of 0 in x 1.143 * * * [progress]: simplifying candidates 1.144 * [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))) (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.144 * [simplify]: Sending expressions to egg_math: (* (exp h0) (exp (* 1/2 (/ h1 h0)))) (log (+ h0 (* 1/2 (/ h1 h0)))) (exp (+ h0 (* 1/2 (/ h1 h0)))) (* (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (cbrt (+ h0 (* 1/2 (/ h1 h0))))) (cbrt (+ h0 (* 1/2 (/ h1 h0)))) (* (* (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0)))) (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (sqrt (+ h0 (* 1/2 (/ h1 h0)))) (+ (pow h0 3) (pow (* 1/2 (/ h1 h0)) 3)) (+ (* h0 h0) (- (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* h0 (* 1/2 (/ h1 h0))))) (- (* h0 h0) (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)))) (- h0 (* 1/2 (/ h1 h0))) (* 1/2 (/ h1 h0)) (+ (log 1/2) (- (log h1) (log h0))) (+ (log 1/2) (log (/ h1 h0))) (log (* 1/2 (/ h1 h0))) (exp (* 1/2 (/ h1 h0))) (* (* (* 1/2 1/2) 1/2) (/ (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* 1/2 1/2) 1/2) (* (* (/ h1 h0) (/ h1 h0)) (/ h1 h0))) (* (cbrt (* 1/2 (/ h1 h0))) (cbrt (* 1/2 (/ h1 h0)))) (cbrt (* 1/2 (/ h1 h0))) (* (* (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0))) (* 1/2 (/ h1 h0))) (sqrt (* 1/2 (/ h1 h0))) (sqrt (* 1/2 (/ h1 h0))) (* (sqrt 1/2) (sqrt (/ h1 h0))) (* (sqrt 1/2) (sqrt (/ h1 h0))) (* (sqrt 1/2) (/ (sqrt h1) (sqrt h0))) (* (sqrt 1/2) (/ (sqrt h1) (sqrt h0))) (* 1/2 (* (cbrt (/ h1 h0)) (cbrt (/ h1 h0)))) (* 1/2 (sqrt (/ h1 h0))) (* 1/2 (/ (* (cbrt h1) (cbrt h1)) (* (cbrt h0) (cbrt h0)))) (* 1/2 (/ (* (cbrt h1) (cbrt h1)) (sqrt h0))) (* 1/2 (/ (* (cbrt h1) (cbrt h1)) 1)) (* 1/2 (/ (sqrt h1) (* (cbrt h0) (cbrt h0)))) (* 1/2 (/ (sqrt h1) (sqrt h0))) (* 1/2 (/ (sqrt h1) 1)) (* 1/2 (/ 1 (* (cbrt h0) (cbrt h0)))) (* 1/2 (/ 1 (sqrt h0))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 h1) (* (cbrt 1/2) (/ h1 h0)) (* (sqrt 1/2) (/ h1 h0)) (* 1/2 (/ h1 h0)) (* 1/2 h1) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (+ h0 (* 1/2 (/ h1 h0))) (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)) (* 1/2 (/ h1 h0)) 1.148 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 1.153 * * [simplify]: iteration 1 : 960 enodes (cost 187 ) 1.174 * * [simplify]: iteration 2 : 4238 enodes (cost 187 ) 1.244 * * [simplify]: iteration 3 : 5003 enodes (cost 187 ) 1.245 * [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))) (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 1.245 * * * [progress]: adding candidates to table 1.329 * [progress]: [Phase 3 of 3] Extracting. 1.329 * * [regime]: Finding splitpoints for: (# # # #) 1.330 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 1.330 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 1.348 * * * * [regimes]: Trying to branch on (* x x) from (# #) 1.361 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # # #) 1.380 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# #) 1.393 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # # #) 1.416 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# #) 1.432 * * * * [regimes]: Trying to branch on y from (# # # #) 1.466 * * * * [regimes]: Trying to branch on x from (# # # #) 1.492 * * * [regime]: Found split indices: #