12.153 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (- (* (+ x 1.0) y) x) 0.016 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 21 enodes (cost 3 ) 0.018 * * [simplify]: iteration 2 : 49 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 73 enodes (cost 3 ) 0.021 * * [simplify]: iteration 4 : 77 enodes (cost 3 ) 0.023 * * [simplify]: iteration 5 : 89 enodes (cost 3 ) 0.024 * * [simplify]: iteration 6 : 109 enodes (cost 3 ) 0.026 * * [simplify]: iteration 7 : 153 enodes (cost 3 ) 0.029 * * [simplify]: iteration 8 : 264 enodes (cost 3 ) 0.032 * * [simplify]: iteration 9 : 538 enodes (cost 3 ) 0.035 * * [simplify]: iteration 10 : 627 enodes (cost 3 ) 0.039 * * [simplify]: iteration 11 : 835 enodes (cost 3 ) 0.045 * * [simplify]: iteration 12 : 1156 enodes (cost 3 ) 0.054 * * [simplify]: iteration 13 : 1609 enodes (cost 3 ) 0.065 * * [simplify]: iteration 14 : 2088 enodes (cost 3 ) 0.079 * * [simplify]: iteration 15 : 2831 enodes (cost 3 ) 0.108 * * [simplify]: iteration 16 : 5001 enodes (cost 3 ) 0.108 * [simplify]: Simplified to: (- (* (+ x 1.0) y) x) 0.109 * * [progress]: iteration 1 / 4 0.109 * * * [progress]: picking best candidate 0.110 * * * * [pick]: Picked # 0.110 * * * [progress]: localizing error 0.114 * * * [progress]: generating rewritten candidates 0.114 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.125 * [approximate]: Taking taylor expansion of (* y (+ x 1.0)) in (x y) around 0 0.125 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.125 * [taylor]: Taking taylor expansion of x in y 0.125 * [taylor]: Taking taylor expansion of 1.0 in y 0.125 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.125 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.126 * [taylor]: Taking taylor expansion of 1.0 in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in y 0.132 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.132 * [taylor]: Taking taylor expansion of 1.0 in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.132 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.132 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.134 * [taylor]: Taking taylor expansion of 1.0 in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in y 0.140 * [taylor]: Taking taylor expansion of -1 in y 0.140 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in y 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.140 * [taylor]: Taking taylor expansion of 1.0 in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.140 * [taylor]: Taking taylor expansion of -1 in x 0.140 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.141 * [taylor]: Taking taylor expansion of -1 in x 0.141 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.143 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of 1.0 in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.151 * * * [progress]: simplifying candidates 0.152 * [simplify]: Simplifying using # : (expm1 (* (+ x 1.0) y)) (log1p (* (+ x 1.0) y)) (* (+ x 1.0) y) (+ (log (+ x 1.0)) (log y)) (log (* (+ x 1.0) y)) (exp (* (+ x 1.0) y)) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* y y) 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 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (+ x 1.0) (* (cbrt y) (cbrt y))) (* (+ x 1.0) (sqrt y)) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y) (* (+ x 1.0) y) (* (+ x 1.0) y) (* (+ (pow x 3) (pow 1.0 3)) y) (* (- (* x x) (* 1.0 1.0)) y) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) 0.154 * * [simplify]: iteration 0 : 111 enodes (cost 90 ) 0.157 * * [simplify]: iteration 1 : 464 enodes (cost 80 ) 0.167 * * [simplify]: iteration 2 : 2185 enodes (cost 80 ) 0.194 * * [simplify]: iteration 3 : 5001 enodes (cost 80 ) 0.195 * [simplify]: Simplified to: (expm1 (* (+ x 1.0) y)) (log1p (* (+ x 1.0) y)) (fma 1.0 y (* x y)) (log (* (+ x 1.0) y)) (log (* (+ x 1.0) y)) (exp (* (+ x 1.0) y)) (pow (fma 1.0 y (* x y)) 3) (* (cbrt (* (+ x 1.0) y)) (cbrt (* (+ x 1.0) y))) (cbrt (* (+ x 1.0) y)) (pow (fma 1.0 y (* x y)) 3) (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)) (* (+ x 1.0) (* (cbrt y) (cbrt y))) (* (+ x 1.0) (sqrt y)) (+ x 1.0) (* (cbrt (+ x 1.0)) y) (* (sqrt (+ x 1.0)) y) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (* (+ (pow x 3) (pow 1.0 3)) y) (* (- (* x x) (* 1.0 1.0)) y) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) 0.195 * * * [progress]: adding candidates to table 0.240 * * [progress]: iteration 2 / 4 0.240 * * * [progress]: picking best candidate 0.242 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1) 0.252 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1) 0.252 * [approximate]: Taking taylor expansion of (fma 1.0 y (* x y)) in (y x) around 0 0.252 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in x 0.252 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.252 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.252 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (* x y) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.252 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.252 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.252 * [taylor]: Taking taylor expansion of 1.0 in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (* x y) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.252 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.252 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.252 * [taylor]: Taking taylor expansion of 1.0 in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (* x y) in y 0.252 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.253 * [taylor]: Taking taylor expansion of 0 in x 0.254 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of 1.0 in x 0.256 * [taylor]: Taking taylor expansion of 0 in x 0.257 * [taylor]: Taking taylor expansion of 0 in x 0.259 * [taylor]: Taking taylor expansion of 0 in x 0.259 * [approximate]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in (y x) around 0 0.259 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in x 0.259 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of 1.0 in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.259 * [taylor]: Taking taylor expansion of (* x y) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.260 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of 1.0 in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.260 * [taylor]: Taking taylor expansion of (* x y) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.261 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.261 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.261 * [taylor]: Taking taylor expansion of (* x y) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of 0 in x 0.266 * [taylor]: Taking taylor expansion of 0 in x 0.269 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [taylor]: Taking taylor expansion of 0 in x 0.272 * [approximate]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in (y x) around 0 0.272 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in x 0.272 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.272 * [taylor]: Taking taylor expansion of -1 in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.272 * [taylor]: Taking taylor expansion of (* x y) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.273 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.273 * [taylor]: Taking taylor expansion of 1.0 in y 0.273 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.273 * [taylor]: Taking taylor expansion of -1 in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.273 * [taylor]: Taking taylor expansion of (* x y) in y 0.273 * [taylor]: Taking taylor expansion of x in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.274 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.274 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.274 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.274 * [taylor]: Taking taylor expansion of -1 in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.274 * [taylor]: Taking taylor expansion of (* x y) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [taylor]: Taking taylor expansion of 0 in x 0.280 * [taylor]: Taking taylor expansion of 0 in x 0.283 * [taylor]: Taking taylor expansion of 0 in x 0.286 * [taylor]: Taking taylor expansion of 0 in x 0.287 * * * [progress]: simplifying candidates 0.287 * [simplify]: Simplifying using # : (expm1 (fma 1.0 y (* x y))) (log1p (fma 1.0 y (* x y))) (* 1.0 y) (log (fma 1.0 y (* x y))) (exp (fma 1.0 y (* x y))) (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) (cbrt (fma 1.0 y (* x y))) (* (* (fma 1.0 y (* x y)) (fma 1.0 y (* x y))) (fma 1.0 y (* x y))) (sqrt (fma 1.0 y (* x y))) (sqrt (fma 1.0 y (* x y))) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) 0.289 * * [simplify]: iteration 0 : 22 enodes (cost 43 ) 0.291 * * [simplify]: iteration 1 : 71 enodes (cost 38 ) 0.293 * * [simplify]: iteration 2 : 293 enodes (cost 38 ) 0.300 * * [simplify]: iteration 3 : 1249 enodes (cost 38 ) 0.326 * * [simplify]: iteration 4 : 4698 enodes (cost 38 ) 0.407 * * [simplify]: iteration 5 : 5001 enodes (cost 38 ) 0.407 * [simplify]: Simplified to: (expm1 (fma 1.0 y (* x y))) (log1p (fma 1.0 y (* x y))) (* 1.0 y) (log (fma 1.0 y (* x y))) (exp (fma 1.0 y (* x y))) (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) (cbrt (fma 1.0 y (* x y))) (pow (fma 1.0 y (* x y)) 3) (sqrt (fma 1.0 y (* x y))) (sqrt (fma 1.0 y (* x y))) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) 0.407 * * * [progress]: adding candidates to table 0.436 * [progress]: [Phase 3 of 3] Extracting. 0.436 * * [regime]: Finding splitpoints for: (# #) 0.436 * * * [regime-changes]: Trying 3 branch expressions: ((- (* (+ x 1.0) y) x) y x) 0.436 * * * * [regimes]: Trying to branch on (- (* (+ x 1.0) y) x) from (# #) 0.447 * * * * [regimes]: Trying to branch on y from (# #) 0.457 * * * * [regimes]: Trying to branch on x from (# #) 0.468 * * * [regime]: Found split indices: #