23.119 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.027 * * [simplify]: iteration 0 : 5 enodes (cost 6 ) 0.027 * * [simplify]: iteration 1 : 6 enodes (cost 6 ) 0.028 * * [simplify]: iteration done : 6 enodes (cost 6 ) 0.028 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.030 * * * * [pick]: Picked # 0.030 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.039 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (sqrt (+ y (pow x 2))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (sqrt (+ y (pow x 2))) in y 0.044 * [taylor]: Taking taylor expansion of (+ y (pow x 2)) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ y (pow x 2))) in x 0.045 * [taylor]: Taking taylor expansion of (+ y (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (sqrt (+ y (pow x 2))) in x 0.045 * [taylor]: Taking taylor expansion of (+ y (pow x 2)) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of 1/2 in y 0.045 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.046 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.047 * [taylor]: Taking taylor expansion of 1/2 in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.048 * [taylor]: Taking taylor expansion of -1/8 in y 0.048 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.049 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.049 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.049 * [taylor]: Taking taylor expansion of -1/2 in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of -1/8 in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.050 * [approximate]: Taking taylor expansion of (+ y (pow x 2)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (+ y (pow x 2)) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (+ y (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (+ y (pow x 2)) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.051 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.054 * * * [progress]: simplifying candidates 0.054 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* NAN y) (+ (* (pow NAN 3) (pow y 2)) (* 1/2 (* (pow x 2) NAN)))) (+ (* 1/2 (/ y x)) x) (neg (+ (* 1/2 (/ y x)) x)) (+ y (pow x 2)) (+ (pow x 2) y) (+ (pow x 2) y) 0.056 * * [simplify]: iteration 0 : 59 enodes (cost 320 ) 0.066 * * [simplify]: iteration 1 : 139 enodes (cost 297 ) 0.094 * * [simplify]: iteration 2 : 387 enodes (cost 262 ) 0.221 * * [simplify]: iteration 3 : 1085 enodes (cost 260 ) 1.375 * * [simplify]: iteration 4 : 3729 enodes (cost 260 ) 2.364 * * [simplify]: iteration done : 5000 enodes (cost 260 ) 2.364 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow x 6) (pow y 3))) (sqrt (+ (pow x 4) (* y (- y (* x x))))) (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (pow x 4) (* y (- y (* x x)))) (- (pow x 4) (* y y)) (- (* x x) y) (+ (* 1/2 (* (pow x 2) NAN)) (* y (+ NAN (* (pow NAN 3) y)))) (+ (* 1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) (+ y (pow x 2)) (+ y (pow x 2)) (+ y (pow x 2)) 2.364 * * * [progress]: adding candidates to table 2.401 * * [progress]: iteration 2 / 4 2.401 * * * [progress]: picking best candidate 2.406 * * * * [pick]: Picked # 2.406 * * * [progress]: localizing error 2.410 * * * [progress]: generating rewritten candidates 2.410 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 2.419 * * * [progress]: generating series expansions 2.419 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 2.419 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 2.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 2.419 * [taylor]: Taking taylor expansion of 1/2 in x 2.419 * [taylor]: Taking taylor expansion of (/ y x) in x 2.419 * [taylor]: Taking taylor expansion of y in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.419 * [taylor]: Taking taylor expansion of 1/2 in y 2.419 * [taylor]: Taking taylor expansion of (/ y x) in y 2.419 * [taylor]: Taking taylor expansion of y in y 2.419 * [taylor]: Taking taylor expansion of x in y 2.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 2.419 * [taylor]: Taking taylor expansion of 1/2 in y 2.419 * [taylor]: Taking taylor expansion of (/ y x) in y 2.419 * [taylor]: Taking taylor expansion of y in y 2.419 * [taylor]: Taking taylor expansion of x in y 2.419 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 2.419 * [taylor]: Taking taylor expansion of 1/2 in x 2.419 * [taylor]: Taking taylor expansion of x in x 2.419 * [taylor]: Taking taylor expansion of 0 in x 2.420 * [taylor]: Taking taylor expansion of 0 in x 2.420 * [taylor]: Taking taylor expansion of 0 in x 2.420 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 2.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.420 * [taylor]: Taking taylor expansion of 1/2 in x 2.420 * [taylor]: Taking taylor expansion of (/ x y) in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.420 * [taylor]: Taking taylor expansion of y in x 2.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.420 * [taylor]: Taking taylor expansion of 1/2 in y 2.420 * [taylor]: Taking taylor expansion of (/ x y) in y 2.420 * [taylor]: Taking taylor expansion of x in y 2.420 * [taylor]: Taking taylor expansion of y in y 2.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.420 * [taylor]: Taking taylor expansion of 1/2 in y 2.420 * [taylor]: Taking taylor expansion of (/ x y) in y 2.420 * [taylor]: Taking taylor expansion of x in y 2.420 * [taylor]: Taking taylor expansion of y in y 2.420 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.420 * [taylor]: Taking taylor expansion of 1/2 in x 2.420 * [taylor]: Taking taylor expansion of x in x 2.421 * [taylor]: Taking taylor expansion of 0 in x 2.421 * [taylor]: Taking taylor expansion of 0 in x 2.421 * [taylor]: Taking taylor expansion of 0 in x 2.421 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 2.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 2.421 * [taylor]: Taking taylor expansion of 1/2 in x 2.421 * [taylor]: Taking taylor expansion of (/ x y) in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.421 * [taylor]: Taking taylor expansion of y in x 2.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.421 * [taylor]: Taking taylor expansion of 1/2 in y 2.421 * [taylor]: Taking taylor expansion of (/ x y) in y 2.421 * [taylor]: Taking taylor expansion of x in y 2.421 * [taylor]: Taking taylor expansion of y in y 2.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 2.421 * [taylor]: Taking taylor expansion of 1/2 in y 2.421 * [taylor]: Taking taylor expansion of (/ x y) in y 2.421 * [taylor]: Taking taylor expansion of x in y 2.421 * [taylor]: Taking taylor expansion of y in y 2.421 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 2.421 * [taylor]: Taking taylor expansion of 1/2 in x 2.421 * [taylor]: Taking taylor expansion of x in x 2.422 * [taylor]: Taking taylor expansion of 0 in x 2.422 * [taylor]: Taking taylor expansion of 0 in x 2.422 * [taylor]: Taking taylor expansion of 0 in x 2.422 * * * [progress]: simplifying candidates 2.423 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 2.424 * * [simplify]: iteration 0 : 68 enodes (cost 277 ) 2.442 * * [simplify]: iteration 1 : 166 enodes (cost 250 ) 2.472 * * [simplify]: iteration 2 : 427 enodes (cost 230 ) 2.666 * * [simplify]: iteration 3 : 1210 enodes (cost 229 ) 3.831 * * [simplify]: iteration 4 : 2948 enodes (cost 229 ) 5.620 * * [simplify]: iteration done : 5000 enodes (cost 229 ) 5.620 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (sqrt (exp (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (* (cbrt y) (cbrt y))) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (sqrt y)) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) 5.620 * * * [progress]: adding candidates to table 5.650 * * [progress]: iteration 3 / 4 5.650 * * * [progress]: picking best candidate 5.652 * * * * [pick]: Picked # 5.652 * * * [progress]: localizing error 5.657 * * * [progress]: generating rewritten candidates 5.657 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 5.665 * * * [progress]: generating series expansions 5.665 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 5.665 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 5.665 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 5.665 * [taylor]: Taking taylor expansion of -1/2 in x 5.665 * [taylor]: Taking taylor expansion of (/ y x) in x 5.665 * [taylor]: Taking taylor expansion of y in x 5.665 * [taylor]: Taking taylor expansion of x in x 5.665 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 5.665 * [taylor]: Taking taylor expansion of -1/2 in y 5.665 * [taylor]: Taking taylor expansion of (/ y x) in y 5.665 * [taylor]: Taking taylor expansion of y in y 5.665 * [taylor]: Taking taylor expansion of x in y 5.666 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 5.666 * [taylor]: Taking taylor expansion of -1/2 in y 5.666 * [taylor]: Taking taylor expansion of (/ y x) in y 5.666 * [taylor]: Taking taylor expansion of y in y 5.666 * [taylor]: Taking taylor expansion of x in y 5.666 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 5.666 * [taylor]: Taking taylor expansion of -1/2 in x 5.666 * [taylor]: Taking taylor expansion of x in x 5.666 * [taylor]: Taking taylor expansion of 0 in x 5.666 * [taylor]: Taking taylor expansion of 0 in x 5.666 * [taylor]: Taking taylor expansion of 0 in x 5.667 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 5.667 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 5.667 * [taylor]: Taking taylor expansion of -1/2 in x 5.667 * [taylor]: Taking taylor expansion of (/ x y) in x 5.667 * [taylor]: Taking taylor expansion of x in x 5.667 * [taylor]: Taking taylor expansion of y in x 5.667 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 5.667 * [taylor]: Taking taylor expansion of -1/2 in y 5.667 * [taylor]: Taking taylor expansion of (/ x y) in y 5.667 * [taylor]: Taking taylor expansion of x in y 5.667 * [taylor]: Taking taylor expansion of y in y 5.667 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 5.667 * [taylor]: Taking taylor expansion of -1/2 in y 5.667 * [taylor]: Taking taylor expansion of (/ x y) in y 5.667 * [taylor]: Taking taylor expansion of x in y 5.667 * [taylor]: Taking taylor expansion of y in y 5.667 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 5.667 * [taylor]: Taking taylor expansion of -1/2 in x 5.667 * [taylor]: Taking taylor expansion of x in x 5.667 * [taylor]: Taking taylor expansion of 0 in x 5.667 * [taylor]: Taking taylor expansion of 0 in x 5.668 * [taylor]: Taking taylor expansion of 0 in x 5.668 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 5.668 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 5.668 * [taylor]: Taking taylor expansion of -1/2 in x 5.668 * [taylor]: Taking taylor expansion of (/ x y) in x 5.668 * [taylor]: Taking taylor expansion of x in x 5.668 * [taylor]: Taking taylor expansion of y in x 5.668 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 5.668 * [taylor]: Taking taylor expansion of -1/2 in y 5.668 * [taylor]: Taking taylor expansion of (/ x y) in y 5.668 * [taylor]: Taking taylor expansion of x in y 5.668 * [taylor]: Taking taylor expansion of y in y 5.668 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 5.668 * [taylor]: Taking taylor expansion of -1/2 in y 5.668 * [taylor]: Taking taylor expansion of (/ x y) in y 5.668 * [taylor]: Taking taylor expansion of x in y 5.668 * [taylor]: Taking taylor expansion of y in y 5.668 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 5.668 * [taylor]: Taking taylor expansion of -1/2 in x 5.668 * [taylor]: Taking taylor expansion of x in x 5.668 * [taylor]: Taking taylor expansion of 0 in x 5.668 * [taylor]: Taking taylor expansion of 0 in x 5.669 * [taylor]: Taking taylor expansion of 0 in x 5.669 * * * [progress]: simplifying candidates 5.669 * [simplify]: Simplifying using # : (* -1/2 (/ y x)) (+ (log -1/2) (- (log y) (log x))) (+ (log -1/2) (log (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* -1/2 (/ (sqrt y) 1)) (* -1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* -1/2 (/ 1 (sqrt x))) (* -1/2 (/ 1 1)) (* -1/2 1) (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 5.671 * * [simplify]: iteration 0 : 68 enodes (cost 277 ) 5.688 * * [simplify]: iteration 1 : 166 enodes (cost 250 ) 5.716 * * [simplify]: iteration 2 : 428 enodes (cost 230 ) 5.905 * * [simplify]: iteration 3 : 1211 enodes (cost 230 ) 7.101 * * [simplify]: iteration 4 : 2953 enodes (cost 230 ) 8.678 * * [simplify]: iteration done : 5000 enodes (cost 230 ) 8.678 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (pow (* -1/2 (/ y x)) 3) (pow (* -1/2 (/ y x)) 3) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (pow (* -1/2 (/ y x)) 3) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* -1/2 (* (cbrt y) (cbrt y))) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* -1/2 (sqrt y)) (/ -1/2 (* (cbrt x) (cbrt x))) (/ -1/2 (sqrt x)) -1/2 -1/2 (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) 8.678 * * * [progress]: adding candidates to table 8.708 * [progress]: [Phase 3 of 3] Extracting. 8.708 * * [regime]: Finding splitpoints for: (# # #) 8.708 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 8.708 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 8.746 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 8.785 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 8.827 * * * * [regimes]: Trying to branch on y from (# # #) 8.887 * * * * [regimes]: Trying to branch on x from (# # #) 8.932 * * * [regime]: Found split indices: #