46.381 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.022 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.026 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.027 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.038 * * * [progress]: generating series expansions 0.038 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.038 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of 1.0 in x 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.040 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of 1.0 in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1.0 in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of 1.0 in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.064 * [taylor]: Taking taylor expansion of -1 in x 0.064 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of 1.0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * * * [progress]: simplifying candidates 0.090 * [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)) 0.094 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.098 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.112 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.173 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.174 * [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))) 0.175 * * * [progress]: adding candidates to table 0.215 * * [progress]: iteration 2 / 4 0.215 * * * [progress]: picking best candidate 0.224 * * * * [pick]: Picked # 0.224 * * * [progress]: localizing error 0.232 * * * [progress]: generating rewritten candidates 0.232 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.235 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.237 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.248 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.259 * * * [progress]: generating series expansions 0.259 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.259 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.260 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.261 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 1.0 in y 0.287 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of 1.0 in y 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 1.0 in y 0.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.301 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.301 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of 1.0 in y 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.302 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of 1.0 in y 0.315 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of 1.0 in y 0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of 1.0 in y 0.328 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 1.0 in y 0.337 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of 1.0 in y 0.348 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.348 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 1.0 in y 0.348 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.348 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 1.0 in x 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 1.0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 1.0 in y 0.353 * [taylor]: Taking taylor expansion of x in y 0.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of 1.0 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.354 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of 1.0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [taylor]: Taking taylor expansion of 0 in y 0.362 * [taylor]: Taking taylor expansion of 0 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.371 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.371 * [taylor]: Taking taylor expansion of -1 in y 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.371 * [taylor]: Taking taylor expansion of y in y 0.372 * [taylor]: Taking taylor expansion of 1.0 in y 0.372 * [taylor]: Taking taylor expansion of x in y 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.372 * [taylor]: Taking taylor expansion of -1 in x 0.372 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of 1.0 in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.373 * [taylor]: Taking taylor expansion of -1 in x 0.373 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.373 * [taylor]: Taking taylor expansion of y in x 0.373 * [taylor]: Taking taylor expansion of 1.0 in x 0.373 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.373 * [taylor]: Taking taylor expansion of -1 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 0.374 * [taylor]: Taking taylor expansion of 1.0 in y 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.397 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.398 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.398 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of 1.0 in y 0.399 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.399 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of 1.0 in x 0.399 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.400 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.401 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of 1.0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.407 * [taylor]: Taking taylor expansion of 1.0 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.408 * [taylor]: Taking taylor expansion of x in y 0.408 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1.0 in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.410 * [taylor]: Taking taylor expansion of y in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of 1.0 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.431 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.432 * [taylor]: Taking taylor expansion of -1 in y 0.432 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 1.0 in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.434 * [taylor]: Taking taylor expansion of x in y 0.434 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.434 * [taylor]: Taking taylor expansion of -1 in x 0.434 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) 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 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.437 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of 1.0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of 0 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.458 * * * [progress]: simplifying candidates 0.460 * [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)) (neg (+ (* 0.5 (/ x y)) (* x y))) 0.465 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.471 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.497 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.501 * [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)) (neg (+ (* 0.5 (/ x y)) (* x y))) 0.501 * * * [progress]: adding candidates to table 0.664 * * [progress]: iteration 3 / 4 0.664 * * * [progress]: picking best candidate 0.673 * * * * [pick]: Picked # 0.673 * * * [progress]: localizing error 0.679 * * * [progress]: generating rewritten candidates 0.679 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.685 * * * [progress]: generating series expansions 0.685 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.685 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.685 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.685 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.685 * [taylor]: Taking taylor expansion of y in x 0.685 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.685 * [taylor]: Taking taylor expansion of y in x 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.689 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.689 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.690 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.700 * [taylor]: Taking taylor expansion of 0 in y 0.701 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.701 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.701 * [taylor]: Taking taylor expansion of -1 in y 0.701 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.701 * [taylor]: Taking taylor expansion of x in y 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.701 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.701 * [taylor]: Taking taylor expansion of -1 in x 0.701 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.701 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.702 * [taylor]: Taking taylor expansion of -1 in x 0.702 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.702 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.702 * [taylor]: Taking taylor expansion of -1 in y 0.702 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.706 * [taylor]: Taking taylor expansion of 0 in y 0.709 * [taylor]: Taking taylor expansion of 0 in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.713 * * * [progress]: simplifying candidates 0.713 * [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)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.716 * * [simplify]: iteration 0 : 86 enodes (cost 75 ) 0.718 * * [simplify]: iteration 1 : 289 enodes (cost 60 ) 0.723 * * [simplify]: iteration 2 : 825 enodes (cost 60 ) 0.739 * * [simplify]: iteration 3 : 2881 enodes (cost 60 ) 0.808 * * [simplify]: iteration 4 : 5001 enodes (cost 60 ) 0.809 * [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)) (* x (* y y)) (* x (* y y)) (* x (* y y)) 0.809 * * * [progress]: adding candidates to table 0.834 * * [progress]: iteration 4 / 4 0.834 * * * [progress]: picking best candidate 0.843 * * * * [pick]: Picked # 0.843 * * * [progress]: localizing error 0.849 * * * [progress]: generating rewritten candidates 0.849 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.855 * * * [progress]: generating series expansions 0.855 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.855 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.855 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.855 * [taylor]: Taking taylor expansion of x in y 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.855 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.855 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.857 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [taylor]: Taking taylor expansion of 0 in y 0.859 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.859 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.859 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of x in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.859 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.860 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of 0 in y 0.871 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.871 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.871 * [taylor]: Taking taylor expansion of -1 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 (* x (pow y 2))) in x 0.871 * [taylor]: Taking taylor expansion of -1 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 0.872 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.872 * [taylor]: Taking taylor expansion of -1 in x 0.872 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.872 * [taylor]: Taking taylor expansion of y in x 0.872 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.872 * [taylor]: Taking taylor expansion of -1 in y 0.872 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.872 * [taylor]: Taking taylor expansion of y in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.876 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 0 in y 0.883 * [taylor]: Taking taylor expansion of 0 in y 0.883 * * * [progress]: simplifying candidates 0.883 * [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) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) 0.886 * * [simplify]: iteration 0 : 95 enodes (cost 72 ) 0.889 * * [simplify]: iteration 1 : 466 enodes (cost 57 ) 0.899 * * [simplify]: iteration 2 : 2085 enodes (cost 57 ) 0.947 * * [simplify]: iteration 3 : 5001 enodes (cost 56 ) 0.948 * [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))) (* x (pow y 3/2)) (* x y) (pow y 2) (* (* x y) y) (* (* x y) y) (* (* x y) y) 0.948 * * * [progress]: adding candidates to table 0.974 * [progress]: [Phase 3 of 3] Extracting. 0.974 * * [regime]: Finding splitpoints for: (# # # # # # # #) 0.975 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (+ 1.0 (* y y)) y x) 0.975 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 0.996 * * * * [regimes]: Trying to branch on (* y y) from (# # # # #) 1.015 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # # # #) 1.035 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # #) 1.047 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 1.072 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 1.098 * * * [regime]: Found split indices: #