25.274 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.023 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.026 * * [simplify]: iteration 1 : 20 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 22 enodes (cost 3 ) 0.031 * * [simplify]: iteration 3 : 22 enodes (cost 3 ) 0.031 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [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 (+ (pow y 2) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 (+ (pow y 2) 1.0)) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.046 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.053 * [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 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.074 * [taylor]: Taking taylor expansion of -1 in y 0.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of 1.0 in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.076 * [taylor]: Taking taylor expansion of -1 in x 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.076 * [taylor]: Taking taylor expansion of -1 in x 0.076 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.077 * [taylor]: Taking taylor expansion of -1 in y 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1.0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.106 * * * [progress]: simplifying candidates 0.106 * [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)) 0.111 * * [simplify]: iteration 0 : 144 enodes (cost 115 ) 0.116 * * [simplify]: iteration 1 : 712 enodes (cost 101 ) 0.136 * * [simplify]: iteration 2 : 3303 enodes (cost 100 ) 0.203 * * [simplify]: iteration 3 : 5003 enodes (cost 100 ) 0.204 * [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))) 0.204 * * * [progress]: adding candidates to table 0.246 * * [progress]: iteration 2 / 4 0.246 * * * [progress]: picking best candidate 0.254 * * * * [pick]: Picked # 0.254 * * * [progress]: localizing error 0.261 * * * [progress]: generating rewritten candidates 0.261 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.264 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.266 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.286 * * * [progress]: generating series expansions 0.286 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.286 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 1.0 in y 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.292 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.307 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [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 (+ (/ 1 (pow y 2)) 1.0)) in y 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.323 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 1.0 in y 0.338 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.339 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in (y) around 0 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 1.0 in y 0.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) 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 0.355 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of 1.0 in y 0.358 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.359 * [taylor]: Taking taylor expansion of 1.0 in y 0.371 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in (y) around 0 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) 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 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of 1.0 in y 0.390 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.390 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.390 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.390 * [taylor]: Taking taylor expansion of x in y 0.390 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 1.0 in y 0.390 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of 1.0 in y 0.393 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of 1.0 in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 1.0 in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.399 * [taylor]: Taking taylor expansion of 1.0 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.404 * [taylor]: Taking taylor expansion of 0 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.420 * [taylor]: Taking taylor expansion of -1 in y 0.420 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of 1.0 in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.422 * [taylor]: Taking taylor expansion of -1 in y 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 1.0 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [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 0.452 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.452 * [approximate]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in (x y) around 0 0.452 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.452 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of 1.0 in y 0.453 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (* x (sqrt (+ (pow y 2) 1.0))) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in x 0.455 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.455 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of 1.0 in x 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) 1.0)) in y 0.456 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of 1.0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in (x y) around 0 0.463 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [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 (/ 1 x) in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.467 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of 1.0 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of 1.0 in y 0.475 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in y 0.495 * [taylor]: Taking taylor expansion of -1 in y 0.495 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in y 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 1.0 in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.498 * [taylor]: Taking taylor expansion of x in y 0.498 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) 1.0)) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* -1 (sqrt (+ (/ 1 (pow y 2)) 1.0))) in y 0.502 * [taylor]: Taking taylor expansion of -1 in y 0.502 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) 1.0)) in y 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of 1.0 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [taylor]: Taking taylor expansion of 0 in y 0.529 * * * [progress]: simplifying candidates 0.530 * [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))) 0.538 * * [simplify]: iteration 0 : 306 enodes (cost 681 ) 0.547 * * [simplify]: iteration 1 : 1316 enodes (cost 604 ) 0.581 * * [simplify]: iteration 2 : 5002 enodes (cost 594 ) 0.585 * [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))) 0.586 * * * [progress]: adding candidates to table 0.763 * * [progress]: iteration 3 / 4 0.763 * * * [progress]: picking best candidate 0.773 * * * * [pick]: Picked # 0.773 * * * [progress]: localizing error 0.779 * * * [progress]: generating rewritten candidates 0.779 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.784 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.789 * * * [progress]: generating series expansions 0.789 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.789 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.789 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of x in y 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.789 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of 0 in y 0.790 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.792 * [taylor]: Taking taylor expansion of 0 in y 0.793 * [taylor]: Taking taylor expansion of 0 in y 0.794 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.794 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.794 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.794 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.795 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.797 * [taylor]: Taking taylor expansion of 0 in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [taylor]: Taking taylor expansion of 0 in y 0.807 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.807 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.807 * [taylor]: Taking taylor expansion of -1 in y 0.807 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of x in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.808 * [taylor]: Taking taylor expansion of -1 in x 0.808 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.808 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.809 * [taylor]: Taking taylor expansion of -1 in x 0.809 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.810 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of -1 in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.812 * [taylor]: Taking taylor expansion of 0 in y 0.814 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.823 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.823 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.823 * [taylor]: Taking taylor expansion of 1.0 in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.823 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.824 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.824 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.824 * [taylor]: Taking taylor expansion of 1.0 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of 0 in y 0.826 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [taylor]: Taking taylor expansion of 1.0 in y 0.829 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.832 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.832 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.832 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.833 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.833 * [taylor]: Taking taylor expansion of 1.0 in y 0.833 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.833 * [taylor]: Taking taylor expansion of x in y 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.833 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.833 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.834 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) 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 (* 1.0 (/ 1 x)) in x 0.835 * [taylor]: Taking taylor expansion of 1.0 in x 0.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.835 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.836 * [taylor]: Taking taylor expansion of 1.0 in y 0.839 * [taylor]: Taking taylor expansion of 0 in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.849 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.862 * [taylor]: Taking taylor expansion of 0 in y 0.862 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.862 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.863 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.863 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.863 * [taylor]: Taking taylor expansion of 1.0 in y 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.863 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.865 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.865 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of 1.0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [taylor]: Taking taylor expansion of 0 in y 0.892 * [taylor]: Taking taylor expansion of 0 in y 0.900 * [taylor]: Taking taylor expansion of 0 in y 0.901 * * * [progress]: simplifying candidates 0.901 * [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)) 0.906 * * [simplify]: iteration 0 : 167 enodes (cost 162 ) 0.912 * * [simplify]: iteration 1 : 633 enodes (cost 137 ) 0.932 * * [simplify]: iteration 2 : 2466 enodes (cost 134 ) 1.000 * * [simplify]: iteration 3 : 5001 enodes (cost 134 ) 1.001 * [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))) 1.002 * * * [progress]: adding candidates to table 1.054 * * [progress]: iteration 4 / 4 1.054 * * * [progress]: picking best candidate 1.061 * * * * [pick]: Picked # 1.061 * * * [progress]: localizing error 1.067 * * * [progress]: generating rewritten candidates 1.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.072 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.077 * * * [progress]: generating series expansions 1.077 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.077 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 1.077 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.077 * [taylor]: Taking taylor expansion of x in y 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.077 * [taylor]: Taking taylor expansion of y in y 1.077 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.077 * [taylor]: Taking taylor expansion of y in x 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.079 * [taylor]: Taking taylor expansion of 0 in y 1.081 * [taylor]: Taking taylor expansion of 0 in y 1.081 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 1.081 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.082 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.082 * [taylor]: Taking taylor expansion of x in y 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.082 * [taylor]: Taking taylor expansion of y in y 1.082 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.082 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.083 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.085 * [taylor]: Taking taylor expansion of 0 in y 1.088 * [taylor]: Taking taylor expansion of 0 in y 1.091 * [taylor]: Taking taylor expansion of 0 in y 1.095 * [taylor]: Taking taylor expansion of 0 in y 1.096 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 1.096 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 1.096 * [taylor]: Taking taylor expansion of -1 in y 1.096 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.096 * [taylor]: Taking taylor expansion of x in y 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.096 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.096 * [taylor]: Taking taylor expansion of -1 in x 1.096 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.096 * [taylor]: Taking taylor expansion of y in x 1.097 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 1.097 * [taylor]: Taking taylor expansion of -1 in x 1.097 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.097 * [taylor]: Taking taylor expansion of y in x 1.098 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 1.098 * [taylor]: Taking taylor expansion of -1 in y 1.098 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.098 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of 0 in y 1.102 * [taylor]: Taking taylor expansion of 0 in y 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.110 * [taylor]: Taking taylor expansion of 0 in y 1.111 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.111 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 1.111 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 1.111 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 1.111 * [taylor]: Taking taylor expansion of 1.0 in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 1.111 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.111 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 1.111 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.111 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.114 * [taylor]: Taking taylor expansion of 1.0 in y 1.116 * [taylor]: Taking taylor expansion of 0 in y 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.119 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 1.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 1.119 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.119 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.119 * [taylor]: Taking taylor expansion of x in y 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.119 * [taylor]: Taking taylor expansion of y in y 1.119 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.119 * [taylor]: Taking taylor expansion of 1.0 in y 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.119 * [taylor]: Taking taylor expansion of x in y 1.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.119 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.120 * [taylor]: Taking taylor expansion of y in x 1.120 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.121 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.121 * [taylor]: Taking taylor expansion of y in x 1.121 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.123 * [taylor]: Taking taylor expansion of 1.0 in y 1.125 * [taylor]: Taking taylor expansion of 0 in y 1.129 * [taylor]: Taking taylor expansion of 0 in y 1.135 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [taylor]: Taking taylor expansion of 0 in y 1.151 * [taylor]: Taking taylor expansion of 0 in y 1.151 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 1.151 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 1.151 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 1.151 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 1.151 * [taylor]: Taking taylor expansion of x in y 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.152 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 1.152 * [taylor]: Taking taylor expansion of 1.0 in y 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.152 * [taylor]: Taking taylor expansion of x in y 1.152 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.152 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.152 * [taylor]: Taking taylor expansion of y in x 1.153 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 1.154 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.155 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.155 * [taylor]: Taking taylor expansion of y in y 1.156 * [taylor]: Taking taylor expansion of 1.0 in y 1.159 * [taylor]: Taking taylor expansion of 0 in y 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.171 * [taylor]: Taking taylor expansion of 0 in y 1.177 * [taylor]: Taking taylor expansion of 0 in y 1.184 * [taylor]: Taking taylor expansion of 0 in y 1.185 * * * [progress]: simplifying candidates 1.186 * [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)) 1.191 * * [simplify]: iteration 0 : 174 enodes (cost 161 ) 1.198 * * [simplify]: iteration 1 : 815 enodes (cost 137 ) 1.227 * * [simplify]: iteration 2 : 4140 enodes (cost 129 ) 1.329 * * [simplify]: iteration 3 : 5001 enodes (cost 128 ) 1.331 * [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)) 1.331 * * * [progress]: adding candidates to table 1.382 * [progress]: [Phase 3 of 3] Extracting. 1.382 * * [regime]: Finding splitpoints for: (# # # # # #) 1.383 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) (+ 1.0 (* y y)) y x) 1.383 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.402 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.415 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# # # # # #) 1.436 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# #) 1.447 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.470 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.492 * * * [regime]: Found split indices: #