0.426 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.016 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.016 * * [simplify]: iteration 1 : 14 enodes (cost 7 ) 0.018 * * [simplify]: iteration 2 : 23 enodes (cost 6 ) 0.021 * * [simplify]: iteration 3 : 28 enodes (cost 6 ) 0.031 * * [simplify]: iteration done : 28 enodes (cost 6 ) 0.031 * [simplify]: Simplified to: (* (fma y y 1.0) x) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.047 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 1.0 in y 0.050 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of 1.0 in x 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 1.0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.072 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.077 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.077 * [taylor]: Taking taylor expansion of -1 in y 0.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1.0 in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.078 * [taylor]: Taking taylor expansion of -1 in x 0.078 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.079 * [taylor]: Taking taylor expansion of -1 in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 1.0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.106 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 0.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 1.0 in y 0.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of 1.0 in y 0.117 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 1.0 in y 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of 1.0 in y 0.130 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of 1.0 in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 1.0 in y 0.143 * * * [progress]: simplifying candidates 0.143 * [simplify]: Simplifying using # : (expm1 (* x (+ 1.0 (* y y)))) (log1p (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (* (* (* x x) x) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y)))) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (* (* (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (sqrt (* x (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x 1.0) (* x (* y y)) (* 1.0 x) (* (* y y) x) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* x 1) (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (expm1 (+ 1.0 (* y y))) (log1p (+ 1.0 (* y y))) (* (exp 1.0) (exp (* y y))) (log (+ 1.0 (* y y))) (exp (+ 1.0 (* y y))) (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y))) (* (* (+ 1.0 (* y y)) (+ 1.0 (* y y))) (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y))) (+ (pow 1.0 3) (pow (* y y) 3)) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y))) (- 1.0 (* y y)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) 0.145 * * [simplify]: iteration 0 : 63 enodes (cost 399 ) 0.156 * * [simplify]: iteration 1 : 177 enodes (cost 386 ) 0.195 * * [simplify]: iteration 2 : 637 enodes (cost 299 )