114.517 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.056 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.058 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.058 * * * * [points]: Setting MPFR precision to 64 0.058 * * * * [points]: Setting MPFR precision to 320 0.059 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.059 * * * * [points]: Setting MPFR precision to 64 0.059 * * * * [points]: Setting MPFR precision to 320 0.059 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.059 * * * * [points]: Setting MPFR precision to 64 0.060 * * * * [points]: Setting MPFR precision to 320 0.060 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.060 * * * * [points]: Setting MPFR precision to 64 0.061 * * * * [points]: Setting MPFR precision to 320 0.062 * * * * [points]: Computing exacts for 256 points 0.062 * * * * [points]: Setting MPFR precision to 64 0.065 * * * * [points]: Setting MPFR precision to 320 0.068 * * * * [points]: Filtering points with unrepresentable outputs 0.069 * * * * [points]: Sampling 9 additional inputs, on iter 1 have 247 / 256 0.069 * * * * [points]: Computing exacts for 9 points 0.069 * * * * [points]: Setting MPFR precision to 64 0.069 * * * * [points]: Setting MPFR precision to 320 0.069 * * * * [points]: Filtering points with unrepresentable outputs 0.069 * * * * [points]: Sampling 4 additional inputs, on iter 2 have 255 / 256 0.069 * * * * [points]: Computing exacts for 4 points 0.069 * * * * [points]: Setting MPFR precision to 64 0.069 * * * * [points]: Setting MPFR precision to 320 0.069 * * * * [points]: Filtering points with unrepresentable outputs 0.069 * * * * [points]: Sampled 259 points with exact outputs 0.074 * * * [progress]: [2/2] Setting up program. 0.076 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying using # : (/ (+ x y) (+ y y)) 0.079 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.079 * * [simplify]: iteration 1 : 13 enodes (cost 7 ) 0.079 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.079 * * [progress]: iteration 1 / 4 0.079 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.086 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.097 * * * [progress]: generating series expansions 0.097 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.098 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.098 * [taylor]: Taking taylor expansion of 1/2 in y 0.098 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.098 * [taylor]: Taking taylor expansion of (+ x y) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.098 * [taylor]: Taking taylor expansion of 1/2 in x 0.098 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.098 * [taylor]: Taking taylor expansion of (+ x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.098 * [taylor]: Taking taylor expansion of 1/2 in x 0.098 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.098 * [taylor]: Taking taylor expansion of (+ x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of 1/2 in y 0.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.098 * [taylor]: Taking taylor expansion of 1/2 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.099 * [taylor]: Taking taylor expansion of 1/2 in y 0.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.099 * [taylor]: Taking taylor expansion of 1/2 in x 0.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.099 * [taylor]: Taking taylor expansion of 1/2 in x 0.099 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.100 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.100 * [taylor]: Taking taylor expansion of 1/2 in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of 1/2 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.101 * [taylor]: Taking taylor expansion of 1/2 in y 0.101 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.101 * [taylor]: Taking taylor expansion of 1/2 in x 0.101 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.101 * [taylor]: Taking taylor expansion of 1/2 in x 0.101 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.101 * [taylor]: Taking taylor expansion of 1/2 in y 0.101 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 1/2 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.102 * * * [progress]: simplifying candidates 0.107 * [simplify]: Simplifying using # : (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (neg (+ x y)) (neg (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.157 * * [simplify]: iteration 0 : 5602 enodes (cost 942 ) 0.161 * [simplify]: Simplified to: (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (sqrt (exp (/ (+ x y) y))) (/ (pow (/ (+ x y) y) 3) 8) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (/ (pow (/ (+ x y) y) 3) 8) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (neg y) x) (* y -2) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y))))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (sqrt (+ y y)))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (* (cbrt y) (cbrt y)))) (/ (cbrt (+ x y)) (* (cbrt y) 2)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (sqrt y))) (/ (cbrt (+ x y)) (* (sqrt y) 2)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (* (cbrt y) (* (cbrt y) 2))) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) (sqrt y))) (/ (cbrt (+ x y)) (* (sqrt y) 2)) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) y)) (/ (cbrt (+ x y)) 2) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) 2)) (/ (cbrt (+ x y)) y) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) 2)) (/ (cbrt (+ x y)) y) (* (cbrt (+ x y)) (/ (cbrt (+ x y)) 2)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (* (cbrt y) 2)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* (sqrt y) 2)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* (cbrt y) (* (cbrt y) 2))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (* (sqrt y) 2)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* (cbrt y) 2)) (/ 1 (sqrt y)) (/ (+ x y) (* (sqrt y) 2)) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* (cbrt y) (* (cbrt y) 2))) (/ 1 (sqrt y)) (/ (+ x y) (* (sqrt y) 2)) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (* (cbrt y) 2)) (/ 1 (sqrt y)) (/ (+ x y) (* (sqrt y) 2)) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* (cbrt y) (* (cbrt y) 2))) (/ 1 (sqrt y)) (/ (+ x y) (* (sqrt y) 2)) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (* (/ 2 (+ x y)) y) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (* 2 (/ y (cbrt (+ x y)))) (* (/ 2 (sqrt (+ x y))) y) (* (/ 2 (+ x y)) y) (* (/ 2 (+ x y)) y) (/ (+ x y) (* 2 (pow y 3))) (/ (+ x y) 0) (* y (* 2 (+ (* y y) (* x (- x y))))) (* y (* 2 (- x y))) (+ 1/2 (* x (/ 1/2 y))) (+ 1/2 (* x (/ 1/2 y))) (+ 1/2 (* x (/ 1/2 y))) 0.162 * * * [progress]: adding candidates to table 0.220 * * [progress]: iteration 2 / 4 0.220 * * * [progress]: picking best candidate 0.225 * * * * [pick]: Picked # 0.225 * * * [progress]: localizing error 0.229 * * * [progress]: generating rewritten candidates 0.229 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.237 * * * [progress]: generating series expansions 0.237 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.237 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (x y) around 0 0.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.237 * [taylor]: Taking taylor expansion of 1/2 in y 0.237 * [taylor]: Taking taylor expansion of (/ x y) in y 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.237 * [taylor]: Taking taylor expansion of 1/2 in x 0.237 * [taylor]: Taking taylor expansion of (/ x y) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.237 * [taylor]: Taking taylor expansion of 1/2 in x 0.237 * [taylor]: Taking taylor expansion of (/ x y) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.237 * [taylor]: Taking taylor expansion of 1/2 in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.238 * [taylor]: Taking taylor expansion of 1/2 in y 0.238 * [taylor]: Taking taylor expansion of (/ y x) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.238 * [taylor]: Taking taylor expansion of 1/2 in x 0.238 * [taylor]: Taking taylor expansion of (/ y x) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.238 * [taylor]: Taking taylor expansion of 1/2 in x 0.238 * [taylor]: Taking taylor expansion of (/ y x) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.238 * [taylor]: Taking taylor expansion of 1/2 in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (x y) around 0 0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.239 * [taylor]: Taking taylor expansion of 1/2 in y 0.239 * [taylor]: Taking taylor expansion of (/ y x) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.239 * [taylor]: Taking taylor expansion of 1/2 in x 0.239 * [taylor]: Taking taylor expansion of (/ y x) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.239 * [taylor]: Taking taylor expansion of 1/2 in x 0.239 * [taylor]: Taking taylor expansion of (/ y x) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.239 * [taylor]: Taking taylor expansion of 1/2 in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * [taylor]: Taking taylor expansion of 0 in y 0.240 * * * [progress]: simplifying candidates 0.241 * [simplify]: Simplifying using # : (* x (/ 1/2 y)) (+ (log x) (- (log 1/2) (log y))) (+ (log x) (log (/ 1/2 y))) (log (* x (/ 1/2 y))) (exp (* x (/ 1/2 y))) (* (* (* x x) x) (/ (* (* 1/2 1/2) 1/2) (* (* y y) y))) (* (* (* x x) x) (* (* (/ 1/2 y) (/ 1/2 y)) (/ 1/2 y))) (* (cbrt (* x (/ 1/2 y))) (cbrt (* x (/ 1/2 y)))) (cbrt (* x (/ 1/2 y))) (* (* (* x (/ 1/2 y)) (* x (/ 1/2 y))) (* x (/ 1/2 y))) (sqrt (* x (/ 1/2 y))) (sqrt (* x (/ 1/2 y))) (* (sqrt x) (sqrt (/ 1/2 y))) (* (sqrt x) (sqrt (/ 1/2 y))) (* (sqrt x) (/ (sqrt 1/2) (sqrt y))) (* (sqrt x) (/ (sqrt 1/2) (sqrt y))) (* x (* (cbrt (/ 1/2 y)) (cbrt (/ 1/2 y)))) (* x (sqrt (/ 1/2 y))) (* x (/ (* (cbrt 1/2) (cbrt 1/2)) (* (cbrt y) (cbrt y)))) (* x (/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt y))) (* x (/ (* (cbrt 1/2) (cbrt 1/2)) 1)) (* x (/ (sqrt 1/2) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt 1/2) (sqrt y))) (* x (/ (sqrt 1/2) 1)) (* x (/ 1 (* (cbrt y) (cbrt y)))) (* x (/ 1 (sqrt y))) (* x (/ 1 1)) (* x 1) (* x 1/2) (* (cbrt x) (/ 1/2 y)) (* (sqrt x) (/ 1/2 y)) (* x (/ 1/2 y)) (* x 1/2) (* 1/2 (/ x y)) (* 1/2 (/ x y)) (* 1/2 (/ x y)) 0.290 * * [simplify]: iteration 0 : 4960 enodes (cost 229 ) 0.290 * * [simplify]: iteration 1 : 4960 enodes (cost 229 ) 0.292 * [simplify]: Simplified to: (* x (/ 1/2 y)) (log (* x (/ 1/2 y))) (log (* x (/ 1/2 y))) (log (* x (/ 1/2 y))) (sqrt (exp (/ x y))) (* 1/8 (pow (/ x y) 3)) (* 1/8 (pow (/ x y) 3)) (* (cbrt (* x (/ 1/2 y))) (cbrt (* x (/ 1/2 y)))) (cbrt (* x (/ 1/2 y))) (* 1/8 (pow (/ x y) 3)) (sqrt (* x (/ 1/2 y))) (sqrt (* x (/ 1/2 y))) (* (sqrt x) (sqrt (/ 1/2 y))) (* (sqrt x) (sqrt (/ 1/2 y))) (* (sqrt x) (/ (sqrt 1/2) (sqrt y))) (* (sqrt x) (/ (sqrt 1/2) (sqrt y))) (* x (* (cbrt (/ 1/2 y)) (cbrt (/ 1/2 y)))) (* x (sqrt (/ 1/2 y))) (* x (* (cbrt 1/2) (/ (cbrt 1/2) (* (cbrt y) (cbrt y))))) (* x (* (cbrt 1/2) (/ (cbrt 1/2) (sqrt y)))) (* x (* (cbrt 1/2) (cbrt 1/2))) (* x (/ (sqrt 1/2) (* (cbrt y) (cbrt y)))) (* x (/ (sqrt 1/2) (sqrt y))) (* x (sqrt 1/2)) (/ x (* (cbrt y) (cbrt y))) (/ x (sqrt y)) x x (* x 1/2) (* 1/2 (/ (cbrt x) y)) (* 1/2 (/ (sqrt x) y)) (* x (/ 1/2 y)) (* x 1/2) (* x (/ 1/2 y)) (* x (/ 1/2 y)) (* x (/ 1/2 y)) 0.292 * * * [progress]: adding candidates to table 0.332 * * [progress]: iteration 3 / 4 0.332 * * * [progress]: picking best candidate 0.334 * * * * [pick]: Picked # 0.334 * * * [progress]: localizing error 0.339 * * * [progress]: generating rewritten candidates 0.339 * * * [progress]: generating series expansions 0.339 * * * [progress]: simplifying candidates 0.339 * [simplify]: Simplifying using # : 0.341 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.342 * [simplify]: Simplified to: 0.342 * * * [progress]: adding candidates to table 0.342 * [progress]: [Phase 3 of 3] Extracting. 0.344 * [simplify]: Simplifying using # : (+ 1/2 (/ (* x 1/2) y)) 0.345 * * [simplify]: iteration 0 : 8 enodes (cost 7 ) 0.345 * * [simplify]: iteration 1 : 8 enodes (cost 7 ) 0.345 * [simplify]: Simplified to: (+ 1/2 (/ (* 1/2 x) y)) 0.345 * * * * [points]: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 0.412 * * * * [points]: Computing exacts on every 500 of 8000 points to ramp up precision 0.412 * * * * [points]: Setting MPFR precision to 64 0.412 * * * * [points]: Setting MPFR precision to 320 0.412 * * * * [points]: Computing exacts on every 250 of 8000 points to ramp up precision 0.413 * * * * [points]: Setting MPFR precision to 64 0.413 * * * * [points]: Setting MPFR precision to 320 0.413 * * * * [points]: Computing exacts on every 125 of 8000 points to ramp up precision 0.413 * * * * [points]: Setting MPFR precision to 64 0.414 * * * * [points]: Setting MPFR precision to 320 0.415 * * * * [points]: Computing exacts on every 62 of 8000 points to ramp up precision 0.415 * * * * [points]: Setting MPFR precision to 64 0.416 * * * * [points]: Setting MPFR precision to 320 0.418 * * * * [points]: Computing exacts on every 31 of 8000 points to ramp up precision 0.418 * * * * [points]: Setting MPFR precision to 64 0.420 * * * * [points]: Setting MPFR precision to 320 0.423 * * * * [points]: Computing exacts on every 15 of 8000 points to ramp up precision 0.423 * * * * [points]: Setting MPFR precision to 64 0.428 * * * * [points]: Setting MPFR precision to 320 0.434 * * * * [points]: Computing exacts on every 7 of 8000 points to ramp up precision 0.434 * * * * [points]: Setting MPFR precision to 64 0.444 * * * * [points]: Setting MPFR precision to 320 0.459 * * * * [points]: Computing exacts on every 3 of 8000 points to ramp up precision 0.459 * * * * [points]: Setting MPFR precision to 64 0.480 * * * * [points]: Setting MPFR precision to 320 0.502 * * * * [points]: Computing exacts for 8000 points 0.502 * * * * [points]: Setting MPFR precision to 64 0.587 * * * * [points]: Setting MPFR precision to 320 0.677 * * * * [points]: Setting MPFR precision to 576 0.767 * * * * [points]: Filtering points with unrepresentable outputs 0.779 * * * * [points]: Sampling 189 additional inputs, on iter 1 have 7811 / 8000 0.783 * * * * [points]: Computing exacts on every 11 of 189 points to ramp up precision 0.783 * * * * [points]: Setting MPFR precision to 320 0.783 * * * * [points]: Setting MPFR precision to 576 0.783 * * * * [points]: Computing exacts on every 5 of 189 points to ramp up precision 0.784 * * * * [points]: Setting MPFR precision to 320 0.784 * * * * [points]: Setting MPFR precision to 576 0.784 * * * * [points]: Computing exacts on every 2 of 189 points to ramp up precision 0.784 * * * * [points]: Setting MPFR precision to 320 0.785 * * * * [points]: Setting MPFR precision to 576 0.786 * * * * [points]: Computing exacts for 189 points 0.786 * * * * [points]: Setting MPFR precision to 320 0.788 * * * * [points]: Setting MPFR precision to 576 0.790 * * * * [points]: Filtering points with unrepresentable outputs 0.790 * * * * [points]: Sampling 4 additional inputs, on iter 2 have 7996 / 8000 0.790 * * * * [points]: Computing exacts for 4 points 0.790 * * * * [points]: Setting MPFR precision to 320 0.790 * * * * [points]: Setting MPFR precision to 576 0.790 * * * * [points]: Filtering points with unrepresentable outputs 0.790 * * * * [points]: Sampling 4 additional inputs, on iter 3 have 7999 / 8000 0.790 * * * * [points]: Computing exacts for 4 points 0.791 * * * * [points]: Setting MPFR precision to 320 0.791 * * * * [points]: Setting MPFR precision to 576 0.791 * * * * [points]: Filtering points with unrepresentable outputs 0.791 * * * * [points]: Sampled 8003 points with exact outputs 1.134 * [regime-testing]: End program error score: 0.0023962406251802886 1.201 * [regime-testing]: Target error score: 0.01839624062518029