2.687 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.027 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.029 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.031 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.033 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.033 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 1.0 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 (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.058 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 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 0.059 * [taylor]: Taking taylor expansion of x in y 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.081 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.081 * [taylor]: Taking taylor expansion of -1 in y 0.081 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of 1.0 in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.082 * [taylor]: Taking taylor expansion of -1 in x 0.082 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.083 * [taylor]: Taking taylor expansion of -1 in x 0.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.083 * [taylor]: Taking taylor expansion of -1 in y 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of 1.0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * * * [progress]: simplifying candidates 0.111 * [simplify]: Simplifying using # : (* 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)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.115 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.120 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.137 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.202 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.203 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) (log (* x (+ 1.0 (* y y)))) (log (* x (+ 1.0 (* y y)))) (exp (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* x (+ 1.0 (* y y)))) (cbrt (* x (+ 1.0 (* y y))))) (cbrt (* x (+ 1.0 (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (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)) (* x 1.0) (* x (* y y)) (* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) x (* (cbrt x) (+ 1.0 (* y y))) (* (sqrt x) (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (+ (pow 1.0 3) (pow y 6))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 0.203 * * * [progress]: adding candidates to table 0.249 * * [progress]: iteration 2 / 4 0.250 * * * [progress]: picking best candidate 0.259 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.267 * * * [progress]: generating rewritten candidates 0.267 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.270 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.273 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.292 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.308 * * * [progress]: generating series expansions 0.308 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.308 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.308 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.308 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of 1.0 in y 0.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.310 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of 1.0 in y 0.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 1.0 in y 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of 1.0 in y 0.354 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.354 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.354 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.354 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 1.0 in y 0.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.356 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.356 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of 1.0 in y 0.370 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of 1.0 in y 0.373 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of 1.0 in y 0.391 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of 1.0 in y 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * [taylor]: Taking taylor expansion of 1.0 in y 0.406 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.406 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.407 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 1.0 in y 0.407 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of 1.0 in x 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 1.0 in y 0.410 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.412 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.412 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of 1.0 in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 1.0 in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.414 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 1.0 in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.423 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.433 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.434 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.434 * [taylor]: Taking taylor expansion of -1 in y 0.434 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of 1.0 in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.436 * [taylor]: Taking taylor expansion of -1 in y 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 1.0 in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.464 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.464 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.464 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.464 * [taylor]: Taking taylor expansion of 1.0 in y 0.466 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.466 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.467 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.468 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 1.0 in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.474 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.474 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of 1.0 in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of 1.0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.504 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.504 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.504 * [taylor]: Taking taylor expansion of -1 in y 0.504 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 1.0 in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of -1 in x 0.507 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.508 * [taylor]: Taking taylor expansion of -1 in x 0.508 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.510 * [taylor]: Taking taylor expansion of -1 in y 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of 1.0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * * * [progress]: simplifying candidates 0.536 * [simplify]: Simplifying using # : (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y))))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt 1) (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) (/ 1 2) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (+ (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (+ (log (* x (sqrt (+ 1.0 (* y y))))) (log (sqrt (+ 1.0 (* y y))))) (log (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (exp (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (sqrt (- 1.0 (* y y))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (- 1.0 (* y y))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt 1)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) 1) (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (+ (log x) (log (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x x) x) (* (* (sqrt (+ 1.0 (* y y))) (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (* (* (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (sqrt (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt 1)) (* x (sqrt (sqrt (+ 1.0 (* y y))))) (* x 1) (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (- (+ y (* 0.5 (/ 1 y))) (* 0.125 (/ 1 (pow y 3)))) (- (* 0.125 (/ 1 (pow y 3))) (+ y (* 0.5 (/ 1 y)))) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.542 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.549 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.578 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.582 * [simplify]: Simplified to: (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (log (sqrt (+ 1.0 (* y y)))) (exp (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y))))) (cbrt (sqrt (+ 1.0 (* y y)))) (pow (sqrt (+ 1.0 (* y y))) 3) (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) 1 (sqrt (+ 1.0 (* y y))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3))) (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y)))) (sqrt (- 1.0 (* y y))) 1/2 (sqrt (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y)))) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (+ (log x) (log (+ 1.0 (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (pow (* x (+ 1.0 (* y y))) 3) (pow (* x (+ 1.0 (* y y))) 3) (* (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y)))))) (cbrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (sqrt (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))) (* (+ (pow 1.0 3) (pow (* y y) 3)) x) (+ (* (pow y 2) (- (pow y 2) 1.0)) (* 1.0 1.0)) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (sqrt (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y))))) (sqrt (- 1.0 (* y y)))) (* (- (* 1.0 1.0) (* (* y y) (* y y))) x) (- 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* x (* (sqrt (+ 1.0 (* y y))) (fabs (cbrt (+ 1.0 (* y y)))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (+ 1.0 (* y y)) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (* x (sqrt (+ 1.0 (* y y)))) (log (* x (sqrt (+ 1.0 (* y y))))) (log (* x (sqrt (+ 1.0 (* y y))))) (exp (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (* (cbrt (* x (sqrt (+ 1.0 (* y y))))) (cbrt (* x (sqrt (+ 1.0 (* y y)))))) (cbrt (* x (sqrt (+ 1.0 (* y y))))) (pow (* x (sqrt (+ 1.0 (* y y)))) 3) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (sqrt (* x (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* (sqrt x) (sqrt (sqrt (+ 1.0 (* y y))))) (* x (* (cbrt (sqrt (+ 1.0 (* y y)))) (cbrt (sqrt (+ 1.0 (* y y)))))) (* (fabs (cbrt (+ 1.0 (* y y)))) x) (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* x (sqrt (sqrt (+ 1.0 (* y y))))) x (* (cbrt x) (sqrt (+ 1.0 (* y y)))) (* (sqrt x) (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ 1.0 (* y y)))) (* x (sqrt (+ (pow 1.0 3) (pow (* y y) 3)))) (* x (sqrt (- (* 1.0 1.0) (* (* y y) (* y y))))) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (- (+ (sqrt 1.0) (* 1/2 (/ (pow y 2) (sqrt 1.0)))) (* 1/8 (/ (pow y 4) (pow (sqrt 1.0) 3)))) (+ y (* (/ 1 y) (- 0.5 (/ 0.125 (pow y 2))))) (- (* (/ 1 y) (- (/ 0.125 (pow y 2)) 0.5)) y) (* 1.0 x) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) (* x (sqrt 1.0)) (+ (* 0.5 (/ x y)) (* x y)) (- (+ (* 0.5 (/ x y)) (* x y))) 0.582 * * * [progress]: adding candidates to table 0.807 * * [progress]: iteration 3 / 4 0.807 * * * [progress]: picking best candidate 0.818 * * * * [pick]: Picked # 0.818 * * * [progress]: localizing error 0.824 * * * [progress]: generating rewritten candidates 0.824 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.831 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.834 * * * [progress]: generating series expansions 0.834 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.834 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.834 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.834 * [taylor]: Taking taylor expansion of x in y 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.834 * [taylor]: Taking taylor expansion of y in y 0.834 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.834 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of 0 in y 0.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of 0 in y 0.838 * [taylor]: Taking taylor expansion of 0 in y 0.839 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.839 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.839 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.839 * [taylor]: Taking taylor expansion of x in y 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.839 * [taylor]: Taking taylor expansion of y in y 0.839 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.839 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.840 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.840 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.840 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of 0 in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.857 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.857 * [taylor]: Taking taylor expansion of -1 in y 0.857 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.858 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.858 * [taylor]: Taking taylor expansion of -1 in x 0.858 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of -1 in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.870 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.871 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.871 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.871 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.871 * [taylor]: Taking taylor expansion of x in y 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.871 * [taylor]: Taking taylor expansion of 1.0 in y 0.871 * [taylor]: Taking taylor expansion of x in y 0.871 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.871 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.871 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.871 * [taylor]: Taking taylor expansion of y in x 0.871 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.873 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.873 * [taylor]: Taking taylor expansion of 1.0 in y 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.878 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.878 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.879 * [taylor]: Taking taylor expansion of 1.0 in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.879 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.880 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.880 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of 1.0 in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of 1.0 in y 0.884 * [taylor]: Taking taylor expansion of 0 in y 0.888 * [taylor]: Taking taylor expansion of 0 in y 0.893 * [taylor]: Taking taylor expansion of 0 in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.905 * [taylor]: Taking taylor expansion of 0 in y 0.906 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.906 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.906 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.906 * [taylor]: Taking taylor expansion of 1.0 in y 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.907 * [taylor]: Taking taylor expansion of 1.0 in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.907 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of 1.0 in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.909 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of 1.0 in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.928 * [taylor]: Taking taylor expansion of 0 in y 0.941 * [taylor]: Taking taylor expansion of 0 in y 0.942 * * * [progress]: simplifying candidates 0.942 * [simplify]: Simplifying using # : (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (* (exp (* x 1.0)) (exp (* x (* y y)))) (log (+ (* x 1.0) (* x (* y y)))) (exp (+ (* x 1.0) (* x (* y y)))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (* (* (+ (* x 1.0) (* x (* y y))) (+ (* x 1.0) (* x (* y y)))) (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (+ (pow (* x 1.0) 3) (pow (* x (* y y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (* y y)) (* x (* y y))) (* (* x 1.0) (* x (* y y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (* y y)) (* x (* y y)))) (- (* x 1.0) (* x (* y y))) (+ 1.0 (* y y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.946 * * [simplify]: iteration 0 : 167 enodes (cost 162 ) 0.951 * * [simplify]: iteration 1 : 633 enodes (cost 137 ) 0.968 * * [simplify]: iteration 2 : 2466 enodes (cost 134 ) 1.032 * * [simplify]: iteration 3 : 5001 enodes (cost 134 ) 1.033 * [simplify]: Simplified to: (* x (* y y)) (* x (* y y)) (log (* x (* y y))) (log (* x (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (pow (* x (* y y)) 3) (pow (* x (* y y)) 3) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (pow (* x (* y y)) 3) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (pow (exp x) (+ 1.0 (* y y))) (log (+ (* x 1.0) (* x (* y y)))) (pow (exp x) (+ 1.0 (* y y))) (* (cbrt (+ (* x 1.0) (* x (* y y)))) (cbrt (+ (* x 1.0) (* x (* y y))))) (cbrt (+ (* x 1.0) (* x (* y y)))) (pow (* x (+ 1.0 (* y y))) 3) (sqrt (+ (* x 1.0) (* x (* y y)))) (sqrt (+ (* x 1.0) (* x (* y y)))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (* x (+ (* 1.0 (* x 1.0)) (* (pow y 2) (* x (- (pow y 2) 1.0))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (+ 1.0 (* y y)) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x (+ 1.0 (* y y))) (* x (+ 1.0 (* y y))) 1.033 * * * [progress]: adding candidates to table 1.101 * * [progress]: iteration 4 / 4 1.101 * * * [progress]: picking best candidate 1.110 * * * * [pick]: Picked # 1.111 * * * [progress]: localizing error 1.117 * * * [progress]: generating rewritten candidates 1.117 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.123 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.127 * * * [progress]: generating series expansions 1.127 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.127 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.127 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.127 * [taylor]: Taking taylor expansion of x in y 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.127 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of 0 in y 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of 0 in y 1.131 * [taylor]: Taking taylor expansion of 0 in y 1.132 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.132 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.132 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.132 * [taylor]: Taking taylor expansion of x in y 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.132 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.132 * [taylor]: Taking taylor expansion of y in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.133 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.133 * [taylor]: Taking taylor expansion of x in x 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.133 * [taylor]: Taking taylor expansion of y in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.134 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.141 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [taylor]: Taking taylor expansion of 0 in y 1.146 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.146 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.146 * [taylor]: Taking taylor expansion of -1 in y 1.146 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.146 * [taylor]: Taking taylor expansion of x in y 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.147 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.147 * [taylor]: Taking taylor expansion of -1 in x 1.147 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.147 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.147 * [taylor]: Taking taylor expansion of -1 in x 1.147 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.147 * [taylor]: Taking taylor expansion of x in x 1.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.147 * [taylor]: Taking taylor expansion of y in x 1.148 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.148 * [taylor]: Taking taylor expansion of -1 in y 1.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.148 * [taylor]: Taking taylor expansion of y in y 1.150 * [taylor]: Taking taylor expansion of 0 in y 1.153 * [taylor]: Taking taylor expansion of 0 in y 1.156 * [taylor]: Taking taylor expansion of 0 in y 1.160 * [taylor]: Taking taylor expansion of 0 in y 1.160 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.160 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 1.161 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 1.161 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.161 * [taylor]: Taking taylor expansion of x in y 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.161 * [taylor]: Taking taylor expansion of y in y 1.161 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 1.161 * [taylor]: Taking taylor expansion of 1.0 in y 1.161 * [taylor]: Taking taylor expansion of x in y 1.161 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 1.161 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 1.161 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of 0 in y 1.163 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.163 * [taylor]: Taking taylor expansion of y in y 1.163 * [taylor]: Taking taylor expansion of 1.0 in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.168 * [taylor]: Taking taylor expansion of 0 in y 1.172 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 1.173 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.173 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.173 * [taylor]: Taking taylor expansion of x in y 1.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.173 * [taylor]: Taking taylor expansion of 1.0 in y 1.173 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.173 * [taylor]: Taking taylor expansion of x in y 1.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.173 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.173 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.173 * [taylor]: Taking taylor expansion of x in x 1.173 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.173 * [taylor]: Taking taylor expansion of y in x 1.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.174 * [taylor]: Taking taylor expansion of 1.0 in x 1.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.175 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.175 * [taylor]: Taking taylor expansion of y in x 1.175 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.176 * [taylor]: Taking taylor expansion of y in y 1.177 * [taylor]: Taking taylor expansion of 1.0 in y 1.179 * [taylor]: Taking taylor expansion of 0 in y 1.183 * [taylor]: Taking taylor expansion of 0 in y 1.188 * [taylor]: Taking taylor expansion of 0 in y 1.195 * [taylor]: Taking taylor expansion of 0 in y 1.201 * [taylor]: Taking taylor expansion of 0 in y 1.202 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 1.202 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 1.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 1.202 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.202 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.202 * [taylor]: Taking taylor expansion of x in y 1.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.202 * [taylor]: Taking taylor expansion of y in y 1.203 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.203 * [taylor]: Taking taylor expansion of 1.0 in y 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.203 * [taylor]: Taking taylor expansion of x in y 1.203 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 1.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.203 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.203 * [taylor]: Taking taylor expansion of y in x 1.203 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 1.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.204 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.204 * [taylor]: Taking taylor expansion of y in x 1.204 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 1.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of 1.0 in y 1.209 * [taylor]: Taking taylor expansion of 0 in y 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.220 * [taylor]: Taking taylor expansion of 0 in y 1.226 * [taylor]: Taking taylor expansion of 0 in y 1.232 * [taylor]: Taking taylor expansion of 0 in y 1.233 * * * [progress]: simplifying candidates 1.234 * [simplify]: Simplifying using # : (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (* (exp (* x 1.0)) (exp (* (* x y) y))) (log (+ (* x 1.0) (* (* x y) y))) (exp (+ (* x 1.0) (* (* x y) y))) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (* (* (+ (* x 1.0) (* (* x y) y)) (+ (* x 1.0) (* (* x y) y))) (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (+ (pow (* x 1.0) 3) (pow (* (* x y) y) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* (* x y) y) (* (* x y) y)) (* (* x 1.0) (* (* x y) y)))) (- (* (* x 1.0) (* x 1.0)) (* (* (* x y) y) (* (* x y) y))) (- (* x 1.0) (* (* x y) y)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 1.238 * * [simplify]: iteration 0 : 174 enodes (cost 161 ) 1.244 * * [simplify]: iteration 1 : 815 enodes (cost 137 ) 1.268 * * [simplify]: iteration 2 : 4140 enodes (cost 129 ) 1.371 * * [simplify]: iteration 3 : 5001 enodes (cost 128 ) 1.372 * [simplify]: Simplified to: (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (pow (* (* x y) y) 3) (pow (* (* x y) y) 3) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (pow (* (* x y) y) 3) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) x) (* x y) (pow y 2) (pow (exp x) (+ (pow y 2) 1.0)) (log (+ (* x 1.0) (* (* x y) y))) (pow (exp x) (+ (pow y 2) 1.0)) (* (cbrt (+ (* x 1.0) (* (* x y) y))) (cbrt (+ (* x 1.0) (* (* x y) y)))) (cbrt (+ (* x 1.0) (* (* x y) y))) (pow (* x (+ (pow y 2) 1.0)) 3) (sqrt (+ (* x 1.0) (* (* x y) y))) (sqrt (+ (* x 1.0) (* (* x y) y))) (* (pow x 3) (+ (pow y 6) (pow 1.0 3))) (* x (+ (* 1.0 (* x 1.0)) (* (pow y 2) (* x (- (pow y 2) 1.0))))) (* (* x x) (- (* 1.0 1.0) (pow y 4))) (* x (- 1.0 (pow y 2))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (* x 1.0) (* x (+ (pow y 2) 1.0)) (* x (+ (pow y 2) 1.0)) 1.372 * * * [progress]: adding candidates to table 1.437 * [progress]: [Phase 3 of 3] Extracting. 1.437 * * [regime]: Finding splitpoints for: (# # # # #) 1.438 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (+ 1.0 (* y y)) y x) 1.438 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.460 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.475 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # #) 1.493 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.517 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.537 * * * [regime]: Found split indices: #