14.333 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (- (* (+ x 1.0) y) x) 0.022 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 21 enodes (cost 3 ) 0.025 * * [simplify]: iteration 2 : 49 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 73 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 77 enodes (cost 3 ) 0.029 * * [simplify]: iteration 5 : 89 enodes (cost 3 ) 0.031 * * [simplify]: iteration 6 : 109 enodes (cost 3 ) 0.033 * * [simplify]: iteration 7 : 153 enodes (cost 3 ) 0.036 * * [simplify]: iteration 8 : 264 enodes (cost 3 ) 0.039 * * [simplify]: iteration 9 : 538 enodes (cost 3 ) 0.043 * * [simplify]: iteration 10 : 627 enodes (cost 3 ) 0.047 * * [simplify]: iteration 11 : 835 enodes (cost 3 ) 0.054 * * [simplify]: iteration 12 : 1156 enodes (cost 3 ) 0.065 * * [simplify]: iteration 13 : 1609 enodes (cost 3 ) 0.076 * * [simplify]: iteration 14 : 2088 enodes (cost 3 ) 0.093 * * [simplify]: iteration 15 : 3005 enodes (cost 3 ) 0.125 * * [simplify]: iteration 16 : 5001 enodes (cost 3 ) 0.125 * [simplify]: Simplified to: (- (* (+ x 1.0) y) x) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.141 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.148 * * * [progress]: generating series expansions 0.148 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.148 * [approximate]: Taking taylor expansion of (* y (+ x 1.0)) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of 1.0 in y 0.148 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.149 * [taylor]: Taking taylor expansion of 1.0 in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in (x y) around 0 0.155 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in y 0.155 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.155 * [taylor]: Taking taylor expansion of 1.0 in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.155 * [taylor]: Taking taylor expansion of x in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.155 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.156 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of 1.0 in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.158 * [taylor]: Taking taylor expansion of 1.0 in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in (x y) around 0 0.163 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in y 0.163 * [taylor]: Taking taylor expansion of -1 in y 0.163 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in y 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.163 * [taylor]: Taking taylor expansion of 1.0 in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.163 * [taylor]: Taking taylor expansion of x in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.164 * [taylor]: Taking taylor expansion of -1 in x 0.164 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.165 * [taylor]: Taking taylor expansion of -1 in x 0.165 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.170 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.170 * [taylor]: Taking taylor expansion of 1.0 in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.178 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.178 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in y 0.178 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in y 0.178 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.178 * [taylor]: Taking taylor expansion of 1.0 in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of (* x y) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.179 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (* x y) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.179 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.179 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of (* x y) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.179 * [taylor]: Taking taylor expansion of 1.0 in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of (- y 1) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in (x y) around 0 0.184 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in y 0.184 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in y 0.184 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.184 * [taylor]: Taking taylor expansion of 1.0 in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.184 * [taylor]: Taking taylor expansion of (* x y) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.185 * [taylor]: Taking taylor expansion of (* x y) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.186 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.186 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.186 * [taylor]: Taking taylor expansion of (* x y) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of 1 in y 0.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.189 * [taylor]: Taking taylor expansion of 1.0 in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.191 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in (x y) around 0 0.191 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in y 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.191 * [taylor]: Taking taylor expansion of (* x y) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.191 * [taylor]: Taking taylor expansion of 1.0 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.192 * [taylor]: Taking taylor expansion of (* x y) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.193 * [taylor]: Taking taylor expansion of (* x y) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.195 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.195 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.195 * [taylor]: Taking taylor expansion of 1.0 in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.198 * * * [progress]: simplifying candidates 0.198 * [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) (fma (+ x 1.0) y (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (+ x 1.0) y (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (+ x 1.0) y (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (* (+ x 1.0) y) x)) (log1p (- (* (+ x 1.0) y) x)) (- x) (/ (exp (* (+ x 1.0) y)) (exp x)) (log (- (* (+ x 1.0) y) x)) (exp (- (* (+ x 1.0) y) x)) (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))) (cbrt (- (* (+ x 1.0) y) x)) (* (* (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x)) (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (- (pow (* (+ x 1.0) y) 3) (pow x 3)) (+ (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (+ (* x x) (* (* (+ x 1.0) y) x))) (- x) (- (* (* (+ x 1.0) y) (* (+ x 1.0) y)) (* x x)) (+ (* (+ x 1.0) y) x) (- x) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) 0.202 * * [simplify]: iteration 0 : 194 enodes (cost 202 ) 0.206 * * [simplify]: iteration 1 : 893 enodes (cost 173 ) 0.228 * * [simplify]: iteration 2 : 4898 enodes (cost 169 ) 0.326 * * [simplify]: iteration 3 : 5001 enodes (cost 169 ) 0.328 * [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 (* (+ 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 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) (- (* (+ x 1.0) y) x) (- x x) (- (* (+ x 1.0) y) x) (- x x) (- (* (+ x 1.0) y) x) (- x x) (expm1 (- (* (+ x 1.0) y) x)) (log1p (- (* (+ x 1.0) y) x)) (- x) (exp (- (* (+ x 1.0) y) x)) (log (- (* (+ x 1.0) y) x)) (exp (- (* (+ x 1.0) y) x)) (* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x))) (cbrt (- (* (+ x 1.0) y) x)) (pow (- (* (+ x 1.0) y) x) 3) (sqrt (- (* (+ x 1.0) y) x)) (sqrt (- (* (+ x 1.0) y) x)) (- (pow (* (+ x 1.0) y) 3) (pow x 3)) (+ (* x x) (* (fma 1.0 y (* x y)) (fma (+ x 1.0) y x))) (- x) (* (fma (+ x 1.0) y x) (- (* (+ x 1.0) y) x)) (fma (+ x 1.0) y x) (- x) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x) (- (* (+ x 1.0) y) x) 0.328 * * * [progress]: adding candidates to table 0.404 * * [progress]: iteration 2 / 4 0.404 * * * [progress]: picking best candidate 0.407 * * * * [pick]: Picked # 0.407 * * * [progress]: localizing error 0.414 * * * [progress]: generating rewritten candidates 0.414 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 0.415 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.426 * * * [progress]: generating series expansions 0.426 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 0.426 * [approximate]: Taking taylor expansion of (fma 1.0 y (* x y)) in (y x) around 0 0.426 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in x 0.426 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.426 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.426 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (* x y) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.427 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.427 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.427 * [taylor]: Taking taylor expansion of 1.0 in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (* x y) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.427 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.427 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.427 * [taylor]: Taking taylor expansion of 1.0 in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (* x y) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in x 0.429 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of 0 in x 0.432 * [taylor]: Taking taylor expansion of 0 in x 0.434 * [taylor]: Taking taylor expansion of 0 in x 0.434 * [approximate]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in (y x) around 0 0.434 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in x 0.434 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.434 * [taylor]: Taking taylor expansion of 1.0 in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.434 * [taylor]: Taking taylor expansion of (* x y) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.435 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.435 * [taylor]: Taking taylor expansion of 1.0 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.435 * [taylor]: Taking taylor expansion of (* x y) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.435 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.435 * [taylor]: Taking taylor expansion of 1.0 in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.436 * [taylor]: Taking taylor expansion of (* x y) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of 0 in x 0.441 * [taylor]: Taking taylor expansion of 0 in x 0.444 * [taylor]: Taking taylor expansion of 0 in x 0.446 * [taylor]: Taking taylor expansion of 0 in x 0.447 * [approximate]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in (y x) around 0 0.447 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in x 0.447 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.447 * [taylor]: Taking taylor expansion of (* x y) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.448 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.448 * [taylor]: Taking taylor expansion of 1.0 in y 0.448 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.448 * [taylor]: Taking taylor expansion of -1 in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.448 * [taylor]: Taking taylor expansion of (* x y) in y 0.448 * [taylor]: Taking taylor expansion of x in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.449 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.449 * [taylor]: Taking taylor expansion of 1.0 in y 0.449 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.449 * [taylor]: Taking taylor expansion of -1 in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.449 * [taylor]: Taking taylor expansion of (* x y) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of 0 in x 0.455 * [taylor]: Taking taylor expansion of 0 in x 0.458 * [taylor]: Taking taylor expansion of 0 in x 0.461 * [taylor]: Taking taylor expansion of 0 in x 0.461 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.462 * [approximate]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in (y x) around 0 0.462 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in x 0.462 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in x 0.462 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.462 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (* x y) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in y 0.462 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.462 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.462 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.462 * [taylor]: Taking taylor expansion of 1.0 in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (* x y) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in y 0.462 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.462 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.462 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.462 * [taylor]: Taking taylor expansion of 1.0 in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (* x y) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (- x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of 0 in x 0.467 * [approximate]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in (y x) around 0 0.467 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in x 0.467 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.467 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.467 * [taylor]: Taking taylor expansion of (* x y) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in y 0.468 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.468 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.468 * [taylor]: Taking taylor expansion of 1.0 in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.469 * [taylor]: Taking taylor expansion of (* x y) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in y 0.469 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.469 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.469 * [taylor]: Taking taylor expansion of 1.0 in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.469 * [taylor]: Taking taylor expansion of (* x y) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.474 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in (y x) around 0 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in x 0.474 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.475 * [taylor]: Taking taylor expansion of -1 in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.475 * [taylor]: Taking taylor expansion of (* x y) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.475 * [taylor]: Taking taylor expansion of x in y 0.475 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.475 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.475 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.475 * [taylor]: Taking taylor expansion of 1.0 in y 0.475 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.475 * [taylor]: Taking taylor expansion of -1 in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.476 * [taylor]: Taking taylor expansion of (* x y) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.476 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.476 * [taylor]: Taking taylor expansion of 1.0 in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.476 * [taylor]: Taking taylor expansion of (* x y) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.484 * * * [progress]: simplifying candidates 0.485 * [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))) (fma (pow (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) 1) (pow (cbrt (fma 1.0 y (* x y))) 1) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (pow (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) 1) (pow (cbrt (fma 1.0 y (* x y))) 1) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (pow (* (cbrt (fma 1.0 y (* x y))) (cbrt (fma 1.0 y (* x y)))) 1) (pow (cbrt (fma 1.0 y (* x y))) 1) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (pow (sqrt (fma 1.0 y (* x y))) 1) (pow (sqrt (fma 1.0 y (* x y))) 1) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (pow (sqrt (fma 1.0 y (* x y))) 1) (pow (sqrt (fma 1.0 y (* x y))) 1) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (pow (sqrt (fma 1.0 y (* x y))) 1) (pow (sqrt (fma 1.0 y (* x y))) 1) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (pow 1 1) (pow (fma 1.0 y (* x y)) 1) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (pow 1 1) (pow (fma 1.0 y (* x y)) 1) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (pow 1 1) (pow (fma 1.0 y (* x y)) 1) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (* (cbrt (pow (fma 1.0 y (* x y)) 1)) (cbrt (pow (fma 1.0 y (* x y)) 1))) (cbrt (pow (fma 1.0 y (* x y)) 1)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (* (cbrt (pow (fma 1.0 y (* x y)) 1)) (cbrt (pow (fma 1.0 y (* x y)) 1))) (cbrt (pow (fma 1.0 y (* x y)) 1)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (* (cbrt (pow (fma 1.0 y (* x y)) 1)) (cbrt (pow (fma 1.0 y (* x y)) 1))) (cbrt (pow (fma 1.0 y (* x y)) 1)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt (pow (fma 1.0 y (* x y)) 1)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt (pow (fma 1.0 y (* x y)) 1)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt (pow (fma 1.0 y (* x y)) 1)) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma 1 (pow (fma 1.0 y (* x y)) 1) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (pow (fma 1.0 y (* x y)) 1) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (pow (fma 1.0 y (* x y)) 1) (- (* x 1))) (fma (- x) 1 (* x 1)) (fma (pow (fma 1.0 y (* x y)) (/ 1 2)) (pow (fma 1.0 y (* x y)) (/ 1 2)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma (pow (fma 1.0 y (* x y)) (/ 1 2)) (pow (fma 1.0 y (* x y)) (/ 1 2)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma (pow (fma 1.0 y (* x y)) (/ 1 2)) (pow (fma 1.0 y (* x y)) (/ 1 2)) (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (pow (fma 1.0 y (* x y)) 1) x)) (log1p (- (pow (fma 1.0 y (* x y)) 1) x)) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (/ (exp (pow (fma 1.0 y (* x y)) 1)) (exp x)) (log (- (pow (fma 1.0 y (* x y)) 1) x)) (exp (- (pow (fma 1.0 y (* x y)) 1) x)) (* (cbrt (- (pow (fma 1.0 y (* x y)) 1) x)) (cbrt (- (pow (fma 1.0 y (* x y)) 1) x))) (cbrt (- (pow (fma 1.0 y (* x y)) 1) x)) (* (* (- (pow (fma 1.0 y (* x y)) 1) x) (- (pow (fma 1.0 y (* x y)) 1) x)) (- (pow (fma 1.0 y (* x y)) 1) x)) (sqrt (- (pow (fma 1.0 y (* x y)) 1) x)) (sqrt (- (pow (fma 1.0 y (* x y)) 1) x)) (- (pow (pow (fma 1.0 y (* x y)) 1) 3) (pow x 3)) (+ (* (pow (fma 1.0 y (* x y)) 1) (pow (fma 1.0 y (* x y)) 1)) (+ (* x x) (* (pow (fma 1.0 y (* x y)) 1) x))) (- x) (- (* (pow (fma 1.0 y (* x y)) 1) (pow (fma 1.0 y (* x y)) 1)) (* x x)) (+ (pow (fma 1.0 y (* x y)) 1) x) (+ (pow (sqrt (fma 1.0 y (* x y))) 1) (sqrt x)) (- (pow (sqrt (fma 1.0 y (* x y))) 1) (sqrt x)) (+ (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt x)) (- (sqrt (pow (fma 1.0 y (* x y)) 1)) (sqrt x)) (+ (pow (fma 1.0 y (* x y)) (/ 1 2)) (sqrt x)) (- (pow (fma 1.0 y (* x y)) (/ 1 2)) (sqrt x)) (- (pow (fma 1.0 y (* x y)) 1) x) (- x) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (+ (* 1.0 y) (* x y)) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) 0.491 * * [simplify]: iteration 0 : 193 enodes (cost 506 ) 0.495 * * [simplify]: iteration 1 : 689 enodes (cost 301 ) 0.515 * * [simplify]: iteration 2 : 4734 enodes (cost 278 ) 0.661 * * [simplify]: iteration 3 : 5001 enodes (cost 266 ) 0.663 * [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))) (pow (cbrt (fma 1.0 y (* x y))) 2) (cbrt (fma 1.0 y (* x y))) (pow (fma 1.0 y (* x y)) 3) (pow (fma 1.0 y (* x y)) 1/2) (pow (fma 1.0 y (* x y)) 1/2) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (fma (* (- x) 2) 1/2 (pow (cbrt (fma 1.0 y (* x y))) 3)) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (expm1 (- (pow (fma 1.0 y (* x y)) 1) x)) (log1p (- (pow (fma 1.0 y (* x y)) 1) x)) (- x) (- x) (- x) (- x) (- x) (- x) (- x) (exp (- (fma 1.0 y (* x y)) x)) (log (- (pow (fma 1.0 y (* x y)) 1) x)) (exp (- (fma 1.0 y (* x y)) x)) (* (cbrt (- (pow (fma 1.0 y (* x y)) 1) x)) (cbrt (- (pow (fma 1.0 y (* x y)) 1) x))) (cbrt (- (pow (fma 1.0 y (* x y)) 1) x)) (pow (fma y (+ 1.0 x) (- x)) 3) (sqrt (- (pow (fma 1.0 y (* x y)) 1) x)) (sqrt (- (pow (fma 1.0 y (* x y)) 1) x)) (- (pow (pow (fma 1.0 y (* x y)) 1) 3) (pow x 3)) (fma (fma y (+ 1.0 x) x) x (pow (fma 1.0 y (* x y)) 2)) (- x) (fma (- x) x (pow (fma 1.0 y (* x y)) 2)) (fma y (+ 1.0 x) x) (+ (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (- (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (+ (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (- (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (+ (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (- (pow (fma 1.0 y (* x y)) 1/2) (sqrt x)) (- (fma 1.0 y (* x y)) x) (- x) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (fma 1.0 y (* x y)) (- (fma 1.0 y (* x y)) x) (- (fma 1.0 y (* x y)) x) (- (fma 1.0 y (* x y)) x) 0.663 * * * [progress]: adding candidates to table 0.758 * * [progress]: iteration 3 / 4 0.758 * * * [progress]: picking best candidate 0.760 * * * * [pick]: Picked # 0.760 * * * [progress]: localizing error 0.765 * * * [progress]: generating rewritten candidates 0.765 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.765 * * * [progress]: generating series expansions 0.765 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.766 * [approximate]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in (x y) around 0 0.766 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in y 0.766 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.766 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in y 0.766 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.766 * [taylor]: Taking taylor expansion of x in y 0.766 * [taylor]: Taking taylor expansion of 1.0 in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.766 * [taylor]: Taking taylor expansion of (- x) in y 0.766 * [taylor]: Taking taylor expansion of x in y 0.766 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in x 0.766 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.766 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in x 0.766 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.766 * [taylor]: Taking taylor expansion of (- x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in x 0.766 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.766 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in x 0.766 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of 1.0 in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.766 * [taylor]: Taking taylor expansion of (- x) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.767 * [taylor]: Taking taylor expansion of 1.0 in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.768 * [taylor]: Taking taylor expansion of (- y 1) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.768 * [taylor]: Taking taylor expansion of 1 in y 0.771 * [taylor]: Taking taylor expansion of 0 in y 0.772 * [approximate]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in (x y) around 0 0.772 * [taylor]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in y 0.772 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.772 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in y 0.772 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.772 * [taylor]: Taking taylor expansion of 1.0 in y 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.772 * [taylor]: Taking taylor expansion of x in y 0.772 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.773 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.773 * [taylor]: Taking taylor expansion of x in y 0.773 * [taylor]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in x 0.773 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.773 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in x 0.773 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of 1.0 in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.773 * [taylor]: Taking taylor expansion of y in x 0.773 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.773 * [taylor]: Taking taylor expansion of x in x 0.773 * [taylor]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in x 0.774 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.774 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in x 0.774 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.774 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.775 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.775 * [taylor]: Taking taylor expansion of y in y 0.775 * [taylor]: Taking taylor expansion of 1 in y 0.777 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.778 * [taylor]: Taking taylor expansion of 1.0 in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.780 * [approximate]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in (x y) around 0 0.780 * [taylor]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in y 0.780 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.780 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in y 0.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.780 * [taylor]: Taking taylor expansion of 1.0 in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.780 * [taylor]: Taking taylor expansion of -1 in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in x 0.780 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.780 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in x 0.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.780 * [taylor]: Taking taylor expansion of 1.0 in x 0.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.781 * [taylor]: Taking taylor expansion of -1 in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.781 * [taylor]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in x 0.781 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.781 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in x 0.781 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.781 * [taylor]: Taking taylor expansion of 1.0 in x 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.782 * [taylor]: Taking taylor expansion of -1 in x 0.782 * [taylor]: Taking taylor expansion of y in x 0.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.783 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.783 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of 1 in y 0.785 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.785 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.785 * [taylor]: Taking taylor expansion of 1.0 in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.785 * [taylor]: Taking taylor expansion of y in y 0.787 * * * [progress]: simplifying candidates 0.787 * [simplify]: Simplifying using # : (expm1 (fma (+ x 1.0) y (- x))) (log1p (fma (+ x 1.0) y (- x))) (* (+ x 1.0) y) (log (fma (+ x 1.0) y (- x))) (exp (fma (+ x 1.0) y (- x))) (* (cbrt (fma (+ x 1.0) y (- x))) (cbrt (fma (+ x 1.0) y (- x)))) (cbrt (fma (+ x 1.0) y (- x))) (* (* (fma (+ x 1.0) y (- x)) (fma (+ x 1.0) y (- x))) (fma (+ x 1.0) y (- x))) (sqrt (fma (+ x 1.0) y (- x))) (sqrt (fma (+ x 1.0) y (- x))) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) (- (+ (* 1.0 y) (* x y)) x) 0.790 * * [simplify]: iteration 0 : 32 enodes (cost 59 ) 0.792 * * [simplify]: iteration 1 : 87 enodes (cost 52 ) 0.795 * * [simplify]: iteration 2 : 419 enodes (cost 52 ) 0.805 * * [simplify]: iteration 3 : 2620 enodes (cost 52 ) 0.858 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.859 * [simplify]: Simplified to: (expm1 (fma (+ x 1.0) y (- x))) (log1p (fma (+ x 1.0) y (- x))) (fma 1.0 y (* x y)) (log (fma (+ x 1.0) y (- x))) (exp (fma (+ x 1.0) y (- x))) (* (cbrt (fma (+ x 1.0) y (- x))) (cbrt (fma (+ x 1.0) y (- x)))) (cbrt (fma (+ x 1.0) y (- x))) (pow (fma (+ x 1.0) y (- x)) 3) (sqrt (fma (+ x 1.0) y (- x))) (sqrt (fma (+ x 1.0) y (- x))) (fma (+ x 1.0) y (- x)) (fma (+ x 1.0) y (- x)) (fma (+ x 1.0) y (- x)) 0.859 * * * [progress]: adding candidates to table 0.883 * [progress]: [Phase 3 of 3] Extracting. 0.883 * * [regime]: Finding splitpoints for: (# #) 0.883 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.883 * * * * [regimes]: Trying to branch on y from (# #) 0.899 * * * * [regimes]: Trying to branch on x from (# #) 0.911 * * * [regime]: Found split indices: #