8.570 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* 2.0 (+ (* x x) (* x y))) 0.020 * * [simplify]: iteration 0 : 19 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 41 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 72 enodes (cost 3 ) 0.025 * * [simplify]: iteration 3 : 81 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 81 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (* (fma x x (* x y)) 2.0) 0.029 * * [progress]: iteration 1 / 4 0.029 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in y 0.048 * [taylor]: Taking taylor expansion of 2.0 in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of (* x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.049 * [taylor]: Taking taylor expansion of 2.0 in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 0.049 * [taylor]: Taking taylor expansion of 2.0 in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.050 * [taylor]: Taking taylor expansion of 2.0 in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 2.0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.058 * [taylor]: Taking taylor expansion of 2.0 in y 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.058 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.059 * [taylor]: Taking taylor expansion of (* x y) in y 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.059 * [taylor]: Taking taylor expansion of 2.0 in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x 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 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.060 * [taylor]: Taking taylor expansion of (* x y) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.060 * [taylor]: Taking taylor expansion of 2.0 in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.061 * [taylor]: Taking taylor expansion of (* x y) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 0.075 * [taylor]: Taking taylor expansion of 2.0 in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.075 * [taylor]: Taking taylor expansion of (* x y) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.075 * [taylor]: Taking taylor expansion of 2.0 in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x 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 0.076 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 0.076 * [taylor]: Taking taylor expansion of 2.0 in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.077 * [taylor]: Taking taylor expansion of (* x y) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of 2.0 in y 0.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.079 * [taylor]: Taking taylor expansion of 2.0 in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.094 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.094 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of (* x y) in y 0.094 * [taylor]: Taking taylor expansion of x in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (* x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (* x y) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of y in x 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.100 * [taylor]: Taking taylor expansion of (* x y) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.102 * [taylor]: Taking taylor expansion of (* x y) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.103 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.112 * [taylor]: Taking taylor expansion of (* x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.113 * [taylor]: Taking taylor expansion of (* x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * * * [progress]: simplifying candidates 0.123 * [simplify]: Simplifying using # : (expm1 (* 2.0 (+ (* x x) (* x y)))) (log1p (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y))) (+ (log 2.0) (log (+ (* x x) (* x y)))) (log (* 2.0 (+ (* x x) (* x y)))) (exp (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y)))) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* (* x x) 2.0) (* (* x y) 2.0) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (+ (* x x) (* x y))) (* (sqrt 2.0) (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (expm1 (+ (* x x) (* x y))) (log1p (+ (* x x) (* x y))) (* (exp (* x x)) (exp (* x y))) (log (+ (* x x) (* x y))) (exp (+ (* x x) (* x y))) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (- (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (- (* x x) (* x y)) (+ x y) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.127 * * [simplify]: iteration 0 : 199 enodes (cost 227 ) 0.132 * * [simplify]: iteration 1 : 1011 enodes (cost 198 ) 0.156 * * [simplify]: iteration 2 : 5001 enodes (cost 191 ) 0.158 * [simplify]: Simplified to: (expm1 (* 2.0 (+ (* x x) (* x y)))) (log1p (* 2.0 (+ (* x x) (* x y)))) (* (fma x x (* x y)) 2.0) (log (* (fma x x (* x y)) 2.0)) (log (* (fma x x (* x y)) 2.0)) (pow (exp 2.0) (fma x x (* x y))) (pow (* (fma x x (* x y)) 2.0) 3) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (pow (* (fma x x (* x y)) 2.0) 3) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* 2.0 (* x x)) (* 2.0 (* x y)) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) 2.0 (* 2.0 x) (* (fma x x (* x y)) (cbrt 2.0)) (* (fma x x (* x y)) (sqrt 2.0)) (* (fma x x (* x y)) 2.0) (fma 2.0 (pow x 6) (* (pow (* x y) 3) 2.0)) (* (* (fma x x (* x y)) 2.0) (* x (- x y))) (expm1 (+ (* x x) (* x y))) (log1p (+ (* x x) (* x y))) (pow (exp x) (+ x y)) (log (+ (* x x) (* x y))) (pow (exp x) (+ x y)) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (pow (fma x x (* x y)) 3) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (fma (pow y 3) (pow x 3) (pow x 6)) (fma y (* x (* x (- y x))) (pow x 4)) (* (pow x 2) (- (pow x 2) (* y y))) (* x (- x y)) (+ x y) (* (fma x x (* x y)) 2.0) (* (fma x x (* x y)) 2.0) (* (fma x x (* x y)) 2.0) (fma x x (* x y)) (fma x x (* x y)) (fma x x (* x y)) 0.158 * * * [progress]: adding candidates to table 0.243 * * [progress]: iteration 2 / 4 0.243 * * * [progress]: picking best candidate 0.246 * * * * [pick]: Picked # 0.246 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.263 * * * [progress]: generating series expansions 0.263 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.263 * [approximate]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in y 0.263 * [taylor]: Taking taylor expansion of 2.0 in y 0.263 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (+ x y) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.263 * [taylor]: Taking taylor expansion of 2.0 in x 0.263 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (+ x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (* x (+ x y))) in x 0.263 * [taylor]: Taking taylor expansion of 2.0 in x 0.263 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (+ x y) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.265 * [taylor]: Taking taylor expansion of 2.0 in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 2.0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.273 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.273 * [taylor]: Taking taylor expansion of 2.0 in y 0.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.274 * [taylor]: Taking taylor expansion of 2.0 in x 0.274 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.275 * [taylor]: Taking taylor expansion of 2.0 in x 0.275 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of 2.0 in y 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.278 * [taylor]: Taking taylor expansion of 2.0 in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in y 0.289 * [taylor]: Taking taylor expansion of 2.0 in y 0.289 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.289 * [taylor]: Taking taylor expansion of x in y 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.290 * [taylor]: Taking taylor expansion of 2.0 in x 0.290 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 y) (/ 1 x)) x)) in x 0.291 * [taylor]: Taking taylor expansion of 2.0 in x 0.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of 2.0 in y 0.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.293 * [taylor]: Taking taylor expansion of 2.0 in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * * * [progress]: simplifying candidates 0.308 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 x) (+ x y))) (log1p (* (* 2.0 x) (+ x y))) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (+ (+ (log 2.0) (log x)) (log (+ x y))) (+ (log (* 2.0 x)) (log (+ x y))) (log (* (* 2.0 x) (+ x y))) (exp (* (* 2.0 x) (+ x y))) (* (* (* (* 2.0 2.0) 2.0) (* (* x x) x)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y)))) (cbrt (* (* 2.0 x) (+ x y))) (* (* (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y))) (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (* (* 2.0 x) x) (* (* 2.0 x) y) (* x (* 2.0 x)) (* y (* 2.0 x)) (* (* 2.0 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* 2.0 x) (sqrt (+ x y))) (* (* 2.0 x) 1) (* (* 2.0 x) 1) (* x (+ x y)) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.312 * * [simplify]: iteration 0 : 170 enodes (cost 125 ) 0.317 * * [simplify]: iteration 1 : 944 enodes (cost 105 ) 0.341 * * [simplify]: iteration 2 : 5001 enodes (cost 105 ) 0.342 * [simplify]: Simplified to: (expm1 (* (* 2.0 x) (+ x y))) (log1p (* (* 2.0 x) (+ x y))) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (log (* (* 2.0 x) (+ x y))) (log (* (* 2.0 x) (+ x y))) (log (* (* 2.0 x) (+ x y))) (exp (* (* 2.0 x) (+ x y))) (pow (* (* 2.0 x) (+ x y)) 3) (pow (* (* 2.0 x) (+ x y)) 3) (* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y)))) (cbrt (* (* 2.0 x) (+ x y))) (pow (* (* 2.0 x) (+ x y)) 3) (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))) (* (* 2.0 x) x) (* 2.0 (* x y)) (* (* 2.0 x) x) (* 2.0 (* x y)) (* (* 2.0 x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (* 2.0 x) (sqrt (+ x y))) (* 2.0 x) (* 2.0 x) (* x (+ x y)) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (- (* x x) (* y y))) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) (* (* 2.0 x) (+ x y)) 0.343 * * * [progress]: adding candidates to table 0.376 * * [progress]: iteration 3 / 4 0.376 * * * [progress]: picking best candidate 0.379 * * * * [pick]: Picked # 0.379 * * * [progress]: localizing error 0.396 * * * [progress]: generating rewritten candidates 0.396 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.429 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.473 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.488 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.494 * * * [progress]: generating series expansions 0.494 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.494 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* (+ (pow x 3) (pow y 3)) x) (- (+ (pow x 2) (pow y 2)) (* x y)))) in (x y) around 0 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (+ (pow x 3) (pow y 3)) x) (- (+ (pow x 2) (pow y 2)) (* x y)))) in y 0.494 * [taylor]: Taking taylor expansion of 2.0 in y 0.494 * [taylor]: Taking taylor expansion of (/ (* (+ (pow x 3) (pow y 3)) x) (- (+ (pow x 2) (pow y 2)) (* x y))) in y 0.494 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) (pow y 3)) x) in y 0.494 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in y 0.494 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (* x y)) in y 0.495 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (* x y) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (+ (pow x 3) (pow y 3)) x) (- (+ (pow x 2) (pow y 2)) (* x y)))) in x 0.496 * [taylor]: Taking taylor expansion of 2.0 in x 0.496 * [taylor]: Taking taylor expansion of (/ (* (+ (pow x 3) (pow y 3)) x) (- (+ (pow x 2) (pow y 2)) (* x y))) in x 0.496 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) (pow y 3)) x) in x 0.496 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (* x y)) in x 0.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (* x y) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* (+ (pow x 3) (pow y 3)) x) (- (+ (pow x 2) (pow y 2)) (* x y)))) in x 0.497 * [taylor]: Taking taylor expansion of 2.0 in x 0.497 * [taylor]: Taking taylor expansion of (/ (* (+ (pow x 3) (pow y 3)) x) (- (+ (pow x 2) (pow y 2)) (* x y))) in x 0.497 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) (pow y 3)) x) in x 0.497 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in x 0.497 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (- (+ (pow x 2) (pow y 2)) (* x y)) in x 0.498 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (* x y) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.499 * [taylor]: Taking taylor expansion of 2.0 in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 2.0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))))) in (x y) around 0 0.515 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))))) in y 0.515 * [taylor]: Taking taylor expansion of 2.0 in y 0.515 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))) in y 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.516 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))) in y 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.517 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.517 * [taylor]: Taking taylor expansion of (* x y) in y 0.517 * [taylor]: Taking taylor expansion of x in y 0.517 * [taylor]: Taking taylor expansion of y in y 0.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))))) in x 0.518 * [taylor]: Taking taylor expansion of 2.0 in x 0.518 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))) in x 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.518 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.518 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))) in x 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.520 * [taylor]: Taking taylor expansion of (* x y) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.523 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))))) in x 0.523 * [taylor]: Taking taylor expansion of 2.0 in x 0.523 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))) in x 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.523 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.523 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))) in x 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.525 * [taylor]: Taking taylor expansion of (* x y) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of 2.0 in y 0.532 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.532 * [taylor]: Taking taylor expansion of 2.0 in y 0.532 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.532 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.560 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))))) in (x y) around 0 0.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))))) in y 0.560 * [taylor]: Taking taylor expansion of 2.0 in y 0.560 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))) in y 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.560 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.561 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))) in y 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.562 * [taylor]: Taking taylor expansion of (* x y) in y 0.562 * [taylor]: Taking taylor expansion of x in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))))) in x 0.563 * [taylor]: Taking taylor expansion of 2.0 in x 0.563 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))) in x 0.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.563 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.563 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.563 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))) in x 0.564 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.564 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.565 * [taylor]: Taking taylor expansion of (* x y) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))))) in x 0.568 * [taylor]: Taking taylor expansion of 2.0 in x 0.568 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))) in x 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.568 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.568 * [taylor]: Taking taylor expansion of y in x 0.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.568 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (* x (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y)))) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))) in x 0.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.569 * [taylor]: Taking taylor expansion of (* x y) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of 2.0 in y 0.577 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.577 * [taylor]: Taking taylor expansion of 2.0 in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.602 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.602 * [approximate]: Taking taylor expansion of (* 2.0 (* (+ (pow x 3) (pow y 3)) x)) in (x y) around 0 0.602 * [taylor]: Taking taylor expansion of (* 2.0 (* (+ (pow x 3) (pow y 3)) x)) in y 0.602 * [taylor]: Taking taylor expansion of 2.0 in y 0.603 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) (pow y 3)) x) in y 0.603 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in y 0.603 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of x in y 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (* (+ (pow x 3) (pow y 3)) x)) in x 0.603 * [taylor]: Taking taylor expansion of 2.0 in x 0.603 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) (pow y 3)) x) in x 0.603 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (* (+ (pow x 3) (pow y 3)) x)) in x 0.603 * [taylor]: Taking taylor expansion of 2.0 in x 0.603 * [taylor]: Taking taylor expansion of (* (+ (pow x 3) (pow y 3)) x) in x 0.603 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of 0 in y 0.604 * [taylor]: Taking taylor expansion of (* 2.0 (pow y 3)) in y 0.605 * [taylor]: Taking taylor expansion of 2.0 in y 0.605 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x)) in (x y) around 0 0.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x)) in y 0.610 * [taylor]: Taking taylor expansion of 2.0 in y 0.610 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x) in y 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in y 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.610 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.611 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.611 * [taylor]: Taking taylor expansion of x in y 0.611 * [taylor]: Taking taylor expansion of x in y 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x)) in x 0.611 * [taylor]: Taking taylor expansion of 2.0 in x 0.611 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x) in x 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.611 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x)) in x 0.613 * [taylor]: Taking taylor expansion of 2.0 in x 0.613 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x) in x 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.613 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.615 * [taylor]: Taking taylor expansion of 2.0 in y 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.625 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.625 * [taylor]: Taking taylor expansion of 2.0 in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.625 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.638 * [taylor]: Taking taylor expansion of 0 in y 0.641 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x)) in (x y) around 0 0.641 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x)) in y 0.641 * [taylor]: Taking taylor expansion of 2.0 in y 0.641 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x) in y 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.641 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.642 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x)) in x 0.642 * [taylor]: Taking taylor expansion of 2.0 in x 0.642 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x) in x 0.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.642 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.642 * [taylor]: Taking taylor expansion of y in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.643 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x)) in x 0.644 * [taylor]: Taking taylor expansion of 2.0 in x 0.644 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) x) in x 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.644 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of 2.0 in y 0.648 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.653 * [taylor]: Taking taylor expansion of 2.0 in y 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.653 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.653 * [taylor]: Taking taylor expansion of y in y 0.659 * [taylor]: Taking taylor expansion of 0 in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.669 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.669 * [approximate]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in (x y) around 0 0.669 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in y 0.669 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in x 0.669 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of (+ (pow x 3) (pow y 3)) in x 0.669 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.669 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.670 * [taylor]: Taking taylor expansion of y in x 0.670 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.673 * [taylor]: Taking taylor expansion of 1 in y 0.676 * [taylor]: Taking taylor expansion of 0 in y 0.680 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in (x y) around 0 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.681 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.682 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.682 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.683 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of 1 in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.689 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow y 3)) (/ 1 (pow x 3)))) in (x y) around 0 0.698 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 3)) (/ 1 (pow x 3)))) in y 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.698 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in y 0.699 * [taylor]: Taking taylor expansion of (pow x 3) in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.699 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 3)) (/ 1 (pow x 3)))) in x 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.699 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.699 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.699 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 3)) (/ 1 (pow x 3)))) in x 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 3)) (/ 1 (pow x 3))) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in x 0.700 * [taylor]: Taking taylor expansion of (pow y 3) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.700 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of -1 in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.708 * [taylor]: Taking taylor expansion of 0 in y 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.710 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.719 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 0.720 * [approximate]: Taking taylor expansion of (- (pow y 2) (* x y)) in (y x) around 0 0.720 * [taylor]: Taking taylor expansion of (- (pow y 2) (* x y)) in x 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.720 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of (* x y) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of (- (pow y 2) (* x y)) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (* x y) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (- (pow y 2) (* x y)) in y 0.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (* x y) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of 0 in x 0.721 * [taylor]: Taking taylor expansion of (- x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of 1 in x 0.724 * [taylor]: Taking taylor expansion of 0 in x 0.725 * [taylor]: Taking taylor expansion of 0 in x 0.726 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (* x y))) in (y x) around 0 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.726 * [taylor]: Taking taylor expansion of (* x y) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.726 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.726 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.726 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.727 * [taylor]: Taking taylor expansion of (* x y) in y 0.727 * [taylor]: Taking taylor expansion of x in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.727 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.728 * [taylor]: Taking taylor expansion of (* x y) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of 1 in x 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of 0 in x 0.735 * [taylor]: Taking taylor expansion of 0 in x 0.738 * [taylor]: Taking taylor expansion of 0 in x 0.738 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (* x y))) in (y x) around 0 0.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (* x y))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.738 * [taylor]: Taking taylor expansion of (* x y) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.739 * [taylor]: Taking taylor expansion of (* x y) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (* x y))) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.740 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.740 * [taylor]: Taking taylor expansion of (* x y) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of 1 in x 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of 0 in x 0.747 * [taylor]: Taking taylor expansion of 0 in x 0.750 * [taylor]: Taking taylor expansion of 0 in x 0.750 * * * [progress]: simplifying candidates 0.752 * [simplify]: Simplifying using # : (expm1 (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (log1p (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (- (+ (+ (log 2.0) (log x)) (log (+ (pow x 3) (pow y 3)))) (log (+ (* x x) (- (* y y) (* x y))))) (- (+ (log (* 2.0 x)) (log (+ (pow x 3) (pow y 3)))) (log (+ (* x x) (- (* y y) (* x y))))) (- (log (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (log (+ (* x x) (- (* y y) (* x y))))) (log (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (exp (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (/ (* (* (* (* 2.0 2.0) 2.0) (* (* x x) x)) (* (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (+ (pow x 3) (pow y 3)))) (* (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* x x) (- (* y y) (* x y))))) (/ (* (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)) (* (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (+ (pow x 3) (pow y 3)))) (* (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* x x) (- (* y y) (* x y))))) (/ (* (* (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (* (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* x x) (- (* y y) (* x y))))) (* (cbrt (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (cbrt (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))))) (cbrt (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (* (* (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (sqrt (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (sqrt (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (- (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (- (+ (* x x) (- (* y y) (* x y)))) (/ (* 2.0 x) (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (+ (* x x) (- (* y y) (* x y)))))) (/ (+ (pow x 3) (pow y 3)) (cbrt (+ (* x x) (- (* y y) (* x y))))) (/ (* 2.0 x) (sqrt (+ (* x x) (- (* y y) (* x y))))) (/ (+ (pow x 3) (pow y 3)) (sqrt (+ (* x x) (- (* y y) (* x y))))) (/ (* 2.0 x) 1) (/ (+ (pow x 3) (pow y 3)) (+ (* x x) (- (* y y) (* x y)))) (/ 1 (+ (* x x) (- (* y y) (* x y)))) (/ (+ (* x x) (- (* y y) (* x y))) (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (cbrt (+ (* x x) (- (* y y) (* x y)))) (cbrt (+ (* x x) (- (* y y) (* x y)))))) (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (- (* y y) (* x y))))) (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) 1) (/ (+ (* x x) (- (* y y) (* x y))) (+ (pow x 3) (pow y 3))) (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (pow (* x x) 3) (pow (- (* y y) (* x y)) 3))) (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (- (* (* x x) (* x x)) (* (- (* y y) (* x y)) (- (* y y) (* x y))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (pow x 3) (pow x 3)) (- (* (pow y 3) (pow y 3)) (* (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (- (pow x 3) (pow y 3))) (expm1 (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (log1p (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (+ (log 2.0) (log x)) (log (+ (pow x 3) (pow y 3)))) (+ (log (* 2.0 x)) (log (+ (pow x 3) (pow y 3)))) (log (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (exp (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (* (* (* (* 2.0 2.0) 2.0) (* (* x x) x)) (* (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (+ (pow x 3) (pow y 3)))) (* (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x)) (* (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (+ (pow x 3) (pow y 3)))) (* (cbrt (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (cbrt (* (* 2.0 x) (+ (pow x 3) (pow y 3))))) (cbrt (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (* (* (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (sqrt (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (sqrt (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (* (* 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(pow (pow y 3) 3)) (+ (* (pow x 3) (pow x 3)) (- (* (pow y 3) (pow y 3)) (* (pow x 3) (pow y 3)))) (- (* (pow x 3) (pow x 3)) (* (pow y 3) (pow y 3))) (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (fma y y (- (* y x))) (fma (- y) x (* y x)) (expm1 (- (* y y) (* x y))) (log1p (- (* y y) (* x y))) (- (* x y)) (/ (exp (* y y)) (exp (* x y))) (log (- (* y y) (* x y))) (exp (- (* y y) (* x y))) (* (cbrt (- (* y y) (* x y))) (cbrt (- (* y y) (* x y)))) (cbrt (- (* y y) (* x y))) (* (* (- (* y y) (* x y)) (- (* y y) (* x y))) (- (* y y) (* x y))) (sqrt (- (* y y) (* x y))) (sqrt (- (* y y) (* x y))) (- (pow (* y y) 3) (pow (* x y) 3)) (+ (* (* y y) (* y y)) (+ (* (* x y) (* x y)) (* (* y y) (* x y)))) (- (* x y)) (- (* (* y y) (* y y)) (* (* x y) (* x y))) (+ (* y y) (* x y)) (- y x) (- (* x y)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0 (+ (* 2.0 (pow x 4)) (* 2.0 (* x (pow y 3)))) (+ (* 2.0 (pow x 4)) (* 2.0 (* x (pow y 3)))) (+ (pow y 3) (pow x 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (- (pow y 2) (* x y)) (- (pow y 2) (* x y)) (- (pow y 2) (* x y)) 0.759 * * [simplify]: iteration 0 : 495 enodes (cost 846 ) 0.772 * * [simplify]: iteration 1 : 3005 enodes (cost 697 ) 0.836 * * [simplify]: iteration 2 : 5003 enodes (cost 678 ) 0.840 * [simplify]: Simplified to: (expm1 (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (log1p (/ (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y))))) (+ (log (/ (* 2.0 x) (fma y (- y x) (pow x 2)))) (log (+ (pow x 3) (pow y 3)))) (+ (log (/ (* 2.0 x) (fma y (- y x) (pow x 2)))) (log (+ (pow x 3) (pow y 3)))) (+ (log (/ (* 2.0 x) (fma y (- y x) (pow x 2)))) (log (+ (pow x 3) (pow y 3)))) (+ (log (/ (* 2.0 x) (fma y (- y x) (pow x 2)))) (log (+ (pow x 3) (pow y 3)))) (pow (exp (/ (* 2.0 x) (fma y (- y x) (pow x 2)))) (+ 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3) (pow y 3))) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (log (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (log (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (log (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (pow (exp (fma (pow y 3) x (pow x 4))) 2.0) (pow (* (* 2.0 x) (+ (pow x 3) (pow y 3))) 3) (pow (* (* 2.0 x) (+ (pow x 3) (pow y 3))) 3) (* (cbrt (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (cbrt (* (* 2.0 x) (+ (pow x 3) (pow y 3))))) (cbrt (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (pow (* (* 2.0 x) (+ (pow x 3) (pow y 3))) 3) (sqrt (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (sqrt (* (* 2.0 x) (+ (pow x 3) (pow y 3)))) (* 2.0 (pow x 4)) (* 2.0 (* x (pow y 3))) (* 2.0 (pow x 4)) (* 2.0 (* x (pow y 3))) (* (* 2.0 x) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3))))) (* (* 2.0 x) (hypot (pow y 3/2) (pow x 3/2))) (* (* 2.0 x) (fma y (- y x) (pow x 2))) (* 2.0 x) (* 2.0 x) (* 2.0 x) (* 2.0 x) (* 2.0 x) (* 2.0 x) (fma (pow y 3) x (pow x 4)) (* (* 2.0 x) (+ (pow (pow x 3) 3) (pow (pow y 3) 3))) (* (* 2.0 x) (fma (pow x 4) (pow x 2) (- (pow y 6)))) (expm1 (+ (pow x 3) (pow y 3))) (log1p (+ (pow x 3) (pow y 3))) (exp (+ (pow x 3) (pow y 3))) (log (+ (pow x 3) (pow y 3))) (exp (+ (pow x 3) (pow y 3))) (* (cbrt (+ (pow x 3) (pow y 3))) (cbrt (+ (pow x 3) (pow y 3)))) (cbrt (+ (pow x 3) (pow y 3))) (pow (+ (pow x 3) (pow y 3)) 3) (hypot (pow y 3/2) (pow x 3/2)) (hypot (pow y 3/2) (pow x 3/2)) (fma y (- y x) (pow x 2)) (+ x y) (+ (pow (pow x 3) 3) (pow (pow y 3) 3)) (- (+ (pow x 6) (pow y 6)) (pow (* x y) 3)) (- (pow x 6) (pow y 6)) (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (* y (- y x)) (fma (- y) x (* y x)) (expm1 (- (* y y) (* x y))) (log1p (- (* y y) (* x y))) (- (* x y)) (pow (exp y) (- y x)) (log (- (* y y) (* x y))) (pow (exp y) (- y x)) (* (cbrt (- (* y y) (* x y))) (cbrt (- (* y y) (* x y)))) (cbrt (- (* y y) (* x y))) (pow (* y (- y x)) 3) (sqrt (- (* y y) (* x y))) (sqrt (- (* y y) (* x y))) (* (pow y 3) (- (pow y 3) (pow x 3))) (fma (pow y 2) (fma x x (* x y)) (pow y 4)) (- (* x y)) (* (pow y 2) (- (pow y 2) (pow x 2))) (fma y y (* x y)) (- y x) (- (* x y)) (* (fma x x (* x y)) 2.0) (* (fma x x (* x y)) 2.0) (* (fma x x (* x y)) 2.0) 0 (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (* (* 2.0 x) (+ (pow x 3) (pow y 3))) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)) (* y (- y x)) (* y (- y x)) (* y (- y x)) 0.840 * * * [progress]: adding candidates to table 1.124 * [progress]: [Phase 3 of 3] Extracting. 1.124 * * [regime]: Finding splitpoints for: (# # #) 1.124 * * * [regime-changes]: Trying 4 branch expressions: ((+ (* x x) (* x y)) (* 2.0 (+ (* x x) (* x y))) y x) 1.124 * * * * [regimes]: Trying to branch on (+ (* x x) (* x y)) from (# # #) 1.138 * * * * [regimes]: Trying to branch on (* 2.0 (+ (* x x) (* x y))) from (# # #) 1.154 * * * * [regimes]: Trying to branch on y from (# # #) 1.167 * * * * [regimes]: Trying to branch on x from (# # #) 1.180 * * * [regime]: Found split indices: #