38.857 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (* x (+ y 1.0)) 0.015 * * [simplify]: iteration 0 : 13 enodes (cost 2 ) 0.017 * * [simplify]: iteration 1 : 17 enodes (cost 2 ) 0.018 * * [simplify]: iteration 2 : 20 enodes (cost 2 ) 0.019 * * [simplify]: iteration 3 : 20 enodes (cost 2 ) 0.019 * [simplify]: Simplified to: (* x (+ y 1.0)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.021 * * * [progress]: localizing error 0.024 * * * [progress]: generating rewritten candidates 0.024 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.030 * * * [progress]: generating series expansions 0.030 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.030 * [approximate]: Taking taylor expansion of (* x (+ y 1.0)) in (x y) around 0 0.030 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in y 0.030 * [taylor]: Taking taylor expansion of x in y 0.030 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of 1.0 in y 0.030 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.030 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in x 0.030 * [taylor]: Taking taylor expansion of x in x 0.030 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.030 * [taylor]: Taking taylor expansion of y in x 0.030 * [taylor]: Taking taylor expansion of 1.0 in x 0.031 * [taylor]: Taking taylor expansion of 0 in y 0.031 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of 1.0 in y 0.032 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.040 * [taylor]: Taking taylor expansion of 0 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in y 0.045 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in x 0.045 * [taylor]: Taking taylor expansion of -1 in x 0.045 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.045 * [taylor]: Taking taylor expansion of 1.0 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 x in x 0.046 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in x 0.046 * [taylor]: Taking taylor expansion of -1 in x 0.046 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.046 * [taylor]: Taking taylor expansion of 1.0 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 x in x 0.046 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 y))) in y 0.046 * [taylor]: Taking taylor expansion of -1 in y 0.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of 1.0 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * * * [progress]: simplifying candidates 0.062 * [simplify]: Simplifying using # : (expm1 (* x (+ y 1.0))) (log1p (* x (+ y 1.0))) (* x (+ y 1.0)) (+ (log x) (log (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (* (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (* x (+ y 1.0))) (cbrt (* x (+ y 1.0)))) (cbrt (* x (+ y 1.0))) (* (* (* x (+ y 1.0)) (* x (+ y 1.0))) (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* x y) (* x 1.0) (* y x) (* 1.0 x) (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* x (sqrt (+ y 1.0))) (* x 1) (* x 1) (* (cbrt x) (+ y 1.0)) (* (sqrt x) (+ y 1.0)) (* x (+ y 1.0)) (* x (+ (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) 0.065 * * [simplify]: iteration 0 : 130 enodes (cost 92 ) 0.069 * * [simplify]: iteration 1 : 559 enodes (cost 82 ) 0.079 * * [simplify]: iteration 2 : 2263 enodes (cost 82 ) 0.111 * * [simplify]: iteration 3 : 5001 enodes (cost 82 ) 0.112 * [simplify]: Simplified to: (expm1 (* x (+ y 1.0))) (log1p (* x (+ y 1.0))) (* x (+ y 1.0)) (log (* x (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (* (cbrt (* x (+ y 1.0))) (cbrt (* x (+ y 1.0)))) (cbrt (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (sqrt (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* x y) (* x 1.0) (* x y) (* x 1.0) (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* x (sqrt (+ y 1.0))) x x (* (cbrt x) (+ y 1.0)) (* (sqrt x) (+ y 1.0)) (* x (+ y 1.0)) (* x (+ (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (* x (+ y 1.0)) (* x (+ y 1.0)) (* x (+ y 1.0)) 0.112 * * * [progress]: adding candidates to table 0.145 * * [progress]: iteration 2 / 4 0.145 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.146 * * * [progress]: localizing error 0.150 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.154 * * * [progress]: generating series expansions 0.154 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.154 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in y 0.154 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.154 * [taylor]: Taking taylor expansion of 1.0 in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of (* x y) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in x 0.154 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (* x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in x 0.154 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (* x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 1.0 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in (x y) around 0 0.162 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in y 0.162 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.162 * [taylor]: Taking taylor expansion of 1.0 in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.162 * [taylor]: Taking taylor expansion of (* x y) in y 0.162 * [taylor]: Taking taylor expansion of x in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.162 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.163 * [taylor]: Taking taylor expansion of (* x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.163 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.163 * [taylor]: Taking taylor expansion of (* x y) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 1.0 in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in (x y) around 0 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.176 * [taylor]: Taking taylor expansion of (* x y) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.176 * [taylor]: Taking taylor expansion of 1.0 in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.176 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.176 * [taylor]: Taking taylor expansion of (* x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.177 * [taylor]: Taking taylor expansion of (* x y) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 1.0 in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.192 * * * [progress]: simplifying candidates 0.192 * [simplify]: Simplifying using # : (expm1 (+ (* x y) (* x 1.0))) (log1p (+ (* x y) (* x 1.0))) (* (exp (* x y)) (exp (* x 1.0))) (log (+ (* x y) (* x 1.0))) (exp (+ (* x y) (* x 1.0))) (* (cbrt (+ (* x y) (* x 1.0))) (cbrt (+ (* x y) (* x 1.0)))) (cbrt (+ (* x y) (* x 1.0))) (* (* (+ (* x y) (* x 1.0)) (+ (* x y) (* x 1.0))) (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (+ (pow (* x y) 3) (pow (* x 1.0) 3)) (+ (* (* x y) (* x y)) (- (* (* x 1.0) (* x 1.0)) (* (* x y) (* x 1.0)))) (- (* (* x y) (* x y)) (* (* x 1.0) (* x 1.0))) (- (* x y) (* x 1.0)) (+ y 1.0) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) 0.195 * * [simplify]: iteration 0 : 107 enodes (cost 80 ) 0.198 * * [simplify]: iteration 1 : 407 enodes (cost 69 ) 0.207 * * [simplify]: iteration 2 : 1581 enodes (cost 68 ) 0.239 * * [simplify]: iteration 3 : 5001 enodes (cost 67 ) 0.242 * [simplify]: Simplified to: (expm1 (+ (* x y) (* x 1.0))) (log1p (+ (* x y) (* x 1.0))) (pow (exp x) (+ y 1.0)) (log (+ (* x y) (* x 1.0))) (pow (exp x) (+ y 1.0)) (* (cbrt (+ (* x y) (* x 1.0))) (cbrt (+ (* x y) (* x 1.0)))) (cbrt (+ (* x y) (* x 1.0))) (pow (fma x y (* x 1.0)) 3) (sqrt (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (+ (pow (* x y) 3) (pow (* x 1.0) 3)) (* (* x x) (- (fma y y (* 1.0 1.0)) (* y 1.0))) (* (* x x) (- (* y y) (* 1.0 1.0))) (* x (- y 1.0)) (+ y 1.0) (fma x y (* x 1.0)) (fma x y (* x 1.0)) (fma x y (* x 1.0)) 0.242 * * * [progress]: adding candidates to table 0.265 * [progress]: [Phase 3 of 3] Extracting. 0.265 * * [regime]: Finding splitpoints for: (# #) 0.265 * * * [regime-changes]: Trying 4 branch expressions: ((+ y 1.0) (* x (+ y 1.0)) y x) 0.265 * * * * [regimes]: Trying to branch on (+ y 1.0) from (# #) 0.274 * * * * [regimes]: Trying to branch on (* x (+ y 1.0)) from (# #) 0.285 * * * * [regimes]: Trying to branch on y from (# #) 0.297 * * * * [regimes]: Trying to branch on x from (# #) 0.307 * * * [regime]: Found split indices: #