32.037 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.021 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.022 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.033 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.033 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.034 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.034 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.034 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.037 * [taylor]: Taking taylor expansion of 1/2 in y 0.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.042 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.043 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [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 0.046 * [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 0.048 * [taylor]: Taking taylor expansion of 1 in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.050 * [taylor]: Taking taylor expansion of 1/2 in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.055 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of -1/8 in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.068 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.068 * [taylor]: Taking taylor expansion of -1/2 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.073 * [taylor]: Taking taylor expansion of -1/8 in y 0.073 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.075 * * * [progress]: simplifying candidates 0.075 * [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))) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow y 2)) (neg (* +nan.0 y)))))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) 0.078 * * [simplify]: iteration 0 : 116 enodes (cost 95 ) 0.081 * * [simplify]: iteration 1 : 334 enodes (cost 90 ) 0.086 * * [simplify]: iteration 2 : 997 enodes (cost 88 ) 0.109 * * [simplify]: iteration 3 : 3969 enodes (cost 86 ) 0.213 * * [simplify]: iteration 4 : 5002 enodes (cost 86 ) 0.214 * [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 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))) (* +nan.0 (- (- (pow y 2) y) (pow x 2))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) 0.214 * * * [progress]: adding candidates to table 0.243 * * [progress]: iteration 2 / 4 0.243 * * * [progress]: picking best candidate 0.245 * * * * [pick]: Picked # 0.245 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.250 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.257 * * * [progress]: generating series expansions 0.257 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.258 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.258 * [taylor]: Taking taylor expansion of 1/2 in x 0.258 * [taylor]: Taking taylor expansion of (/ y x) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.258 * [taylor]: Taking taylor expansion of 1/2 in y 0.258 * [taylor]: Taking taylor expansion of (/ y x) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.258 * [taylor]: Taking taylor expansion of 1/2 in y 0.258 * [taylor]: Taking taylor expansion of (/ y x) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.258 * [taylor]: Taking taylor expansion of 1/2 in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of 0 in x 0.260 * [taylor]: Taking taylor expansion of 0 in x 0.261 * [taylor]: Taking taylor expansion of 0 in x 0.262 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.262 * [taylor]: Taking taylor expansion of 1/2 in x 0.262 * [taylor]: Taking taylor expansion of (/ x y) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.262 * [taylor]: Taking taylor expansion of 1/2 in y 0.262 * [taylor]: Taking taylor expansion of (/ x y) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.262 * [taylor]: Taking taylor expansion of 1/2 in y 0.262 * [taylor]: Taking taylor expansion of (/ x y) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.262 * [taylor]: Taking taylor expansion of 1/2 in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of 0 in x 0.266 * [taylor]: Taking taylor expansion of 0 in x 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.268 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.268 * [taylor]: Taking taylor expansion of 1/2 in x 0.268 * [taylor]: Taking taylor expansion of (/ x y) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.268 * [taylor]: Taking taylor expansion of 1/2 in y 0.268 * [taylor]: Taking taylor expansion of (/ x y) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.268 * [taylor]: Taking taylor expansion of 1/2 in y 0.269 * [taylor]: Taking taylor expansion of (/ x y) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.269 * [taylor]: Taking taylor expansion of 1/2 in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.278 * * * [progress]: simplifying candidates 0.278 * [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)) 0.282 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.286 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.299 * * [simplify]: iteration 2 : 2952 enodes (cost 118 ) 0.340 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.341 * [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))) (* 1/8 (pow (/ y x) 3)) (* 1/8 (pow (/ y x) 3)) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* 1/8 (pow (/ 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))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 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)) 0.341 * * * [progress]: adding candidates to table 0.381 * * [progress]: iteration 3 / 4 0.381 * * * [progress]: picking best candidate 0.382 * * * * [pick]: Picked # 0.382 * * * [progress]: localizing error 0.387 * * * [progress]: generating rewritten candidates 0.387 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.395 * * * [progress]: generating series expansions 0.395 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.395 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.395 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.395 * [taylor]: Taking taylor expansion of -1/2 in x 0.395 * [taylor]: Taking taylor expansion of (/ y x) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.396 * [taylor]: Taking taylor expansion of -1/2 in y 0.396 * [taylor]: Taking taylor expansion of (/ y x) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.396 * [taylor]: Taking taylor expansion of -1/2 in y 0.396 * [taylor]: Taking taylor expansion of (/ y x) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.396 * [taylor]: Taking taylor expansion of -1/2 in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of 0 in x 0.398 * [taylor]: Taking taylor expansion of 0 in x 0.399 * [taylor]: Taking taylor expansion of 0 in x 0.400 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.400 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.400 * [taylor]: Taking taylor expansion of -1/2 in x 0.400 * [taylor]: Taking taylor expansion of (/ x y) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of y in x 0.400 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.400 * [taylor]: Taking taylor expansion of -1/2 in y 0.400 * [taylor]: Taking taylor expansion of (/ x y) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.400 * [taylor]: Taking taylor expansion of -1/2 in y 0.400 * [taylor]: Taking taylor expansion of (/ x y) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.400 * [taylor]: Taking taylor expansion of -1/2 in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of 0 in x 0.406 * [taylor]: Taking taylor expansion of 0 in x 0.409 * [taylor]: Taking taylor expansion of 0 in x 0.409 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.409 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.409 * [taylor]: Taking taylor expansion of -1/2 in x 0.409 * [taylor]: Taking taylor expansion of (/ x y) in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.409 * [taylor]: Taking taylor expansion of -1/2 in y 0.409 * [taylor]: Taking taylor expansion of (/ x y) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.409 * [taylor]: Taking taylor expansion of -1/2 in y 0.409 * [taylor]: Taking taylor expansion of (/ x y) in y 0.409 * [taylor]: Taking taylor expansion of x in y 0.409 * [taylor]: Taking taylor expansion of y in y 0.409 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.409 * [taylor]: Taking taylor expansion of -1/2 in x 0.409 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of 0 in x 0.412 * [taylor]: Taking taylor expansion of 0 in x 0.415 * [taylor]: Taking taylor expansion of 0 in x 0.415 * * * [progress]: simplifying candidates 0.415 * [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)) 0.419 * * [simplify]: iteration 0 : 164 enodes (cost 128 ) 0.423 * * [simplify]: iteration 1 : 727 enodes (cost 118 ) 0.437 * * [simplify]: iteration 2 : 2950 enodes (cost 118 ) 0.478 * * [simplify]: iteration 3 : 5001 enodes (cost 118 ) 0.479 * [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))) (* -1/8 (pow (/ y x) 3)) (* -1/8 (pow (/ y x) 3)) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (* -1/8 (pow (/ 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))) (* (* (cbrt y) (cbrt y)) -1/2) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) -1/2) (/ -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)) 0.479 * * * [progress]: adding candidates to table 0.520 * [progress]: [Phase 3 of 3] Extracting. 0.520 * * [regime]: Finding splitpoints for: (# # #) 0.520 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.520 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.537 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 0.553 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 0.575 * * * * [regimes]: Trying to branch on y from (# # #) 0.592 * * * * [regimes]: Trying to branch on x from (# # #) 0.614 * * * [regime]: Found split indices: #