10.954 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.060 * * * * [points]: Sampling 256 additional inputs, on iter 0 have 0 / 256 0.064 * * * * [points]: Computing exacts on every 16 of 256 points to ramp up precision 0.064 * * * * [points]: Setting MPFR precision to 64 0.064 * * * * [points]: Setting MPFR precision to 320 0.065 * * * * [points]: Computing exacts on every 8 of 256 points to ramp up precision 0.065 * * * * [points]: Setting MPFR precision to 64 0.065 * * * * [points]: Setting MPFR precision to 320 0.066 * * * * [points]: Computing exacts on every 4 of 256 points to ramp up precision 0.066 * * * * [points]: Setting MPFR precision to 64 0.067 * * * * [points]: Setting MPFR precision to 320 0.068 * * * * [points]: Computing exacts on every 2 of 256 points to ramp up precision 0.068 * * * * [points]: Setting MPFR precision to 64 0.070 * * * * [points]: Setting MPFR precision to 320 0.072 * * * * [points]: Computing exacts for 256 points 0.072 * * * * [points]: Setting MPFR precision to 64 0.077 * * * * [points]: Setting MPFR precision to 320 0.082 * * * * [points]: Filtering points with unrepresentable outputs 0.082 * * * * [points]: Sampled 256 points with exact outputs 0.090 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * [simplify]: Simplifying using # : (* x (- 1.0 y)) 0.100 * * [simplify]: iteration 0 : 172 enodes (cost 5 ) 0.100 * * [simplify]: iteration 1 : 172 enodes (cost 5 ) 0.100 * [simplify]: Simplified to: (* x (- 1.0 y)) 0.100 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.107 * * * [progress]: generating rewritten candidates 0.107 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.113 * [approximate]: Taking taylor expansion of (* (- 1.0 y) x) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in y 0.113 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.113 * [taylor]: Taking taylor expansion of 1.0 in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (* (- 1.0 y) x) in x 0.113 * [taylor]: Taking taylor expansion of (- 1.0 y) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.114 * [taylor]: Taking taylor expansion of 1.0 in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in (x y) around 0 0.114 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of 1.0 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of 1.0 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in y 0.116 * [taylor]: Taking taylor expansion of -1 in y 0.116 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of 1.0 in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) 1.0) x)) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 y) 1.0)) in y 0.116 * [taylor]: Taking taylor expansion of -1 in y 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 1.0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.118 * * * [progress]: simplifying candidates 0.118 * [simplify]: Simplifying using # : (* x (- 1.0 y)) (+ (log x) (log (- 1.0 y))) (log (* x (- 1.0 y))) (exp (* x (- 1.0 y))) (* (* (* x x) x) (* (* (- 1.0 y) (- 1.0 y)) (- 1.0 y))) (* (cbrt (* x (- 1.0 y))) (cbrt (* x (- 1.0 y)))) (cbrt (* x (- 1.0 y))) (* (* (* x (- 1.0 y)) (* x (- 1.0 y))) (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* x 1.0) (* x (neg y)) (* 1.0 x) (* (neg y) x) (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* x (sqrt (- 1.0 y))) (* x 1) (* x (+ (sqrt 1.0) (sqrt y))) (* x 1) (* (cbrt x) (- 1.0 y)) (* (sqrt x) (- 1.0 y)) (* x (- 1.0 y)) (* x (- (pow 1.0 3) (pow y 3))) (* x (- (* 1.0 1.0) (* y y))) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) 0.157 * * [simplify]: iteration 0 : 4941 enodes (cost 172 ) 0.157 * * [simplify]: iteration 1 : 4941 enodes (cost 172 ) 0.158 * [simplify]: Simplified to: (* x (- 1.0 y)) (log (* x (- 1.0 y))) (log (* x (- 1.0 y))) (pow (exp x) (- 1.0 y)) (pow (* x (- 1.0 y)) 3) (* (cbrt (* x (- 1.0 y))) (cbrt (* x (- 1.0 y)))) (cbrt (* x (- 1.0 y))) (pow (* x (- 1.0 y)) 3) (sqrt (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* (sqrt x) (sqrt (- 1.0 y))) (* x 1.0) (* x (neg y)) (* x 1.0) (* x (neg y)) (* x (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (* x (sqrt (- 1.0 y))) x (* x (+ (sqrt 1.0) (sqrt y))) x (* (- 1.0 y) (cbrt x)) (* (- 1.0 y) (sqrt x)) (* x (- 1.0 y)) (* x (- (pow 1.0 3) (pow y 3))) (* x (- (* 1.0 1.0) (* y y))) (* x (- 1.0 y)) (* x (- 1.0 y)) (* x (- 1.0 y)) 0.159 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.190 * * * * [pick]: Picked # 0.190 * * * [progress]: localizing error 0.196 * * * [progress]: generating rewritten candidates 0.197 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.201 * [approximate]: Taking taylor expansion of (- (* 1.0 x) (* x y)) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x y)) in y 0.201 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.201 * [taylor]: Taking taylor expansion of 1.0 in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (* x y) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x y)) in x 0.201 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (* x y) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (- (* 1.0 x) (* x y)) in x 0.201 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (* x y) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [taylor]: Taking taylor expansion of (- 1.0 y) in y 0.201 * [taylor]: Taking taylor expansion of 1.0 in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) in (x y) around 0 0.202 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) in y 0.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.202 * [taylor]: Taking taylor expansion of 1.0 in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.202 * [taylor]: Taking taylor expansion of (* x y) in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.202 * [taylor]: Taking taylor expansion of (* x y) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.202 * [taylor]: Taking taylor expansion of (* x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.203 * [taylor]: Taking taylor expansion of 1.0 in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [taylor]: Taking taylor expansion of 0 in y 0.204 * [approximate]: Taking taylor expansion of (neg (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) in y 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 x))) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.204 * [taylor]: Taking taylor expansion of (* x y) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.204 * [taylor]: Taking taylor expansion of 1.0 in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.204 * [taylor]: Taking taylor expansion of (* x y) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 (* x y)) (* 1.0 (/ 1 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.205 * [taylor]: Taking taylor expansion of (* x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.205 * [taylor]: Taking taylor expansion of 1.0 in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (neg (+ (/ 1 y) 1.0)) in y 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 1.0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * [taylor]: Taking taylor expansion of 0 in y 0.206 * * * [progress]: simplifying candidates 0.206 * [simplify]: Simplifying using # : (* (exp (* x 1.0)) (exp (* x (neg y)))) (log (+ (* x 1.0) (* x (neg y)))) (exp (+ (* x 1.0) (* x (neg y)))) (* (cbrt (+ (* x 1.0) (* x (neg y)))) (cbrt (+ (* x 1.0) (* x (neg y))))) (cbrt (+ (* x 1.0) (* x (neg y)))) (* (* (+ (* x 1.0) (* x (neg y))) (+ (* x 1.0) (* x (neg y)))) (+ (* x 1.0) (* x (neg y)))) (sqrt (+ (* x 1.0) (* x (neg y)))) (sqrt (+ (* x 1.0) (* x (neg y)))) (+ (pow (* x 1.0) 3) (pow (* x (neg y)) 3)) (+ (* (* x 1.0) (* x 1.0)) (- (* (* x (neg y)) (* x (neg y))) (* (* x 1.0) (* x (neg y))))) (- (* (* x 1.0) (* x 1.0)) (* (* x (neg y)) (* x (neg y)))) (- (* x 1.0) (* x (neg y))) (+ 1.0 (neg y)) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) (- (* 1.0 x) (* x y)) 0.260 * * [simplify]: iteration 0 : 5170 enodes (cost 116 ) 0.261 * [simplify]: Simplified to: (pow (exp x) (- 1.0 y)) (log (* x (- 1.0 y))) (pow (exp x) (- 1.0 y)) (* (cbrt (* x (- 1.0 y))) (cbrt (* x (- 1.0 y)))) (cbrt (* x (- 1.0 y))) (pow (* x (- 1.0 y)) 3) (sqrt (* x (- 1.0 y))) (sqrt (* x (- 1.0 y))) (- (pow (* x 1.0) 3) (pow (* x y) 3)) (* x (+ (* x (* 1.0 1.0)) (* y (* x (+ 1.0 y))))) (* x (* x (- (* 1.0 1.0) (* y y)))) (* x (+ 1.0 y)) (- 1.0 y) (* x (- 1.0 y)) (* x (- 1.0 y)) (* x (- 1.0 y)) 0.261 * * * [progress]: adding candidates to table 0.279 * [progress]: [Phase 3 of 3] Extracting. 0.279 * * [regime]: Finding splitpoints for: (# #) 0.280 * * * [regime-changes]: Trying 4 branch expressions: ((- 1.0 y) (* x (- 1.0 y)) y x) 0.280 * * * * [regimes]: Trying to branch on (- 1.0 y) from (# #) 0.318 * * * * [regimes]: Trying to branch on (* x (- 1.0 y)) from (# #) 0.355 * * * * [regimes]: Trying to branch on y from (# #) 0.394 * * * * [regimes]: Trying to branch on x from (# #) 0.431 * * * [regime]: Found split indices: #