15.151 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (- (* (+ x 1.0) y) x) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.023 * * [simplify]: iteration 1 : 21 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 49 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 73 enodes (cost 3 ) 0.027 * * [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 ) 0.035 * * [simplify]: iteration 8 : 264 enodes (cost 3 ) 0.039 * * [simplify]: iteration 9 : 538 enodes (cost 3 ) 0.042 * * [simplify]: iteration 10 : 627 enodes (cost 3 ) 0.046 * * [simplify]: iteration 11 : 835 enodes (cost 3 ) 0.053 * * [simplify]: iteration 12 : 1156 enodes (cost 3 ) 0.062 * * [simplify]: iteration 13 : 1609 enodes (cost 3 ) 0.073 * * [simplify]: iteration 14 : 2088 enodes (cost 3 ) 0.088 * * [simplify]: iteration 15 : 2831 enodes (cost 3 ) 0.117 * * [simplify]: iteration 16 : 5001 enodes (cost 3 ) 0.117 * [simplify]: Simplified to: (- (* (+ x 1.0) y) x) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.125 * * * [progress]: generating rewritten candidates 0.125 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.138 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.144 * * * [progress]: generating series expansions 0.144 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.145 * [approximate]: Taking taylor expansion of (* y (+ x 1.0)) in (x y) around 0 0.145 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of 1.0 in y 0.145 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (* y (+ x 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.145 * [taylor]: Taking taylor expansion of 1.0 in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in y 0.146 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.146 * [taylor]: Taking taylor expansion of 1.0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.146 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) y) in x 0.146 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of 1.0 in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of 1.0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in (x y) around 0 0.147 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in y 0.147 * [taylor]: Taking taylor expansion of -1 in y 0.147 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in y 0.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.147 * [taylor]: Taking taylor expansion of 1.0 in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.147 * [taylor]: Taking taylor expansion of -1 in x 0.148 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 x)) y)) in x 0.148 * [taylor]: Taking taylor expansion of -1 in x 0.148 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) y) in x 0.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.148 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.148 * [taylor]: Taking taylor expansion of 1.0 in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.149 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in y 0.149 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in y 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 0.149 * [taylor]: Taking taylor expansion of (* x y) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.149 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.149 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (* x y) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 y) (* x y)) x) in x 0.150 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) (* x y)) in x 0.150 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (* x y) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.150 * [taylor]: Taking taylor expansion of 1.0 in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (- y 1) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in y 0.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in y 0.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.151 * [taylor]: Taking taylor expansion of 1.0 in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.151 * [taylor]: Taking taylor expansion of (* x y) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.151 * [taylor]: Taking taylor expansion of (* x y) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) in x 0.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.151 * [taylor]: Taking taylor expansion of (* x y) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.152 * [taylor]: Taking taylor expansion of 1.0 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [approximate]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in (x y) around 0 0.152 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in y 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.152 * [taylor]: Taking taylor expansion of (* x y) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.152 * [taylor]: Taking taylor expansion of 1.0 in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of (* x y) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 (* x y))) (* 1.0 (/ 1 y))) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 (* x y))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of (* x y) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.154 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.154 * [taylor]: Taking taylor expansion of 1.0 in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * * * [progress]: simplifying candidates 0.155 * [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) 0.158 * * [simplify]: iteration 0 : 194 enodes (cost 202 ) 0.162 * * [simplify]: iteration 1 : 893 enodes (cost 173 ) 0.185 * * [simplify]: iteration 2 : 4898 enodes (cost 169 ) 0.283 * * [simplify]: iteration 3 : 5001 enodes (cost 169 ) 0.284 * [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) 0.284 * * * [progress]: adding candidates to table 0.458 * * [progress]: iteration 2 / 4 0.459 * * * [progress]: picking best candidate 0.466 * * * * [pick]: Picked # 0.466 * * * [progress]: localizing error 0.473 * * * [progress]: generating rewritten candidates 0.473 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.473 * * * [progress]: generating series expansions 0.473 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.473 * [approximate]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in (x y) around 0 0.473 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in y 0.473 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.473 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in y 0.473 * [taylor]: Taking taylor expansion of (+ x 1.0) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of 1.0 in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (- x) in y 0.474 * [taylor]: Taking taylor expansion of x in y 0.474 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in x 0.474 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.474 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in x 0.474 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (- x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (fma (+ x 1.0) y (- x)) in x 0.474 * [taylor]: Rewrote expression to (+ (* (+ x 1.0) y) (- x)) 0.474 * [taylor]: Taking taylor expansion of (* (+ x 1.0) y) in x 0.474 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (- x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.474 * [taylor]: Taking taylor expansion of 1.0 in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (- y 1) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of 1 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [approximate]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in (x y) around 0 0.475 * [taylor]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in y 0.475 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.475 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in y 0.475 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in y 0.475 * [taylor]: Taking taylor expansion of 1.0 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 (/ 1 y) in y 0.475 * [taylor]: Taking taylor expansion of y in y 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 x)) 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 x)) (/ 1 y) (- (/ 1 x))) in x 0.475 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.475 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in x 0.475 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of 1.0 in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (fma (+ 1.0 (/ 1 x)) (/ 1 y) (- (/ 1 x))) in x 0.475 * [taylor]: Rewrote expression to (+ (* (+ 1.0 (/ 1 x)) (/ 1 y)) (- (/ 1 x))) 0.476 * [taylor]: Taking taylor expansion of (* (+ 1.0 (/ 1 x)) (/ 1 y)) in x 0.476 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1) in y 0.476 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of 1 in 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 y in y 0.477 * [approximate]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in y 0.477 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.477 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in y 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in y 0.477 * [taylor]: Taking taylor expansion of 1.0 in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.477 * [taylor]: Taking taylor expansion of -1 in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in x 0.477 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.477 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of 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 y) in x 0.477 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [taylor]: Taking taylor expansion of y 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 (fma (- 1.0 (/ 1 x)) (/ -1 y) (/ 1 x)) in x 0.477 * [taylor]: Rewrote expression to (+ (* (- 1.0 (/ 1 x)) (/ -1 y)) (/ 1 x)) 0.477 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 x)) (/ -1 y)) in x 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of 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 y) in x 0.477 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 y))) in y 0.478 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.478 * [taylor]: Taking taylor expansion of 1.0 in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * * * [progress]: simplifying candidates 0.479 * [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) 0.481 * * [simplify]: iteration 0 : 32 enodes (cost 59 ) 0.483 * * [simplify]: iteration 1 : 87 enodes (cost 52 ) 0.485 * * [simplify]: iteration 2 : 419 enodes (cost 52 ) 0.494 * * [simplify]: iteration 3 : 2620 enodes (cost 52 ) 0.543 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.543 * [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)) 0.543 * * * [progress]: adding candidates to table 0.594 * * [progress]: iteration 3 / 4 0.595 * * * [progress]: picking best candidate 0.599 * * * * [pick]: Picked # 0.599 * * * [progress]: localizing error 0.605 * * * [progress]: generating rewritten candidates 0.605 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.606 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.612 * * * [progress]: generating series expansions 0.612 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.612 * [approximate]: Taking taylor expansion of (fma 1.0 y (* x y)) in (y x) around 0 0.612 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in x 0.612 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.612 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (* x y) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.612 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.612 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.612 * [taylor]: Taking taylor expansion of 1.0 in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (* x y) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.612 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.612 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.612 * [taylor]: Taking taylor expansion of 1.0 in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (* x y) in y 0.612 * [taylor]: Taking taylor expansion of x in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [taylor]: Taking taylor expansion of 0 in x 0.613 * [approximate]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in (y x) around 0 0.613 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in x 0.613 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.613 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.613 * [taylor]: Taking taylor expansion of (* x y) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.614 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.614 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.614 * [taylor]: Taking taylor expansion of 1.0 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.614 * [taylor]: Taking taylor expansion of (* x y) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.614 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.614 * [taylor]: Taking taylor expansion of 1.0 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.614 * [taylor]: Taking taylor expansion of (* x y) in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of 0 in x 0.615 * [taylor]: Taking taylor expansion of 0 in x 0.615 * [taylor]: Taking taylor expansion of 0 in x 0.615 * [taylor]: Taking taylor expansion of 0 in x 0.615 * [approximate]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in (y x) around 0 0.615 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in x 0.616 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.616 * [taylor]: Taking taylor expansion of (* x y) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.616 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.616 * [taylor]: Taking taylor expansion of 1.0 in y 0.616 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.616 * [taylor]: Taking taylor expansion of -1 in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.616 * [taylor]: Taking taylor expansion of (* x y) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.616 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.616 * [taylor]: Taking taylor expansion of 1.0 in y 0.616 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.616 * [taylor]: Taking taylor expansion of -1 in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.616 * [taylor]: Taking taylor expansion of (* x y) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of 0 in x 0.617 * [taylor]: Taking taylor expansion of 0 in x 0.617 * [taylor]: Taking taylor expansion of 0 in x 0.618 * [taylor]: Taking taylor expansion of 0 in x 0.618 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.618 * [approximate]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in (y x) around 0 0.618 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in x 0.618 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in x 0.618 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.618 * [taylor]: Taking taylor expansion of (* 1.0 y) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (* x y) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in y 0.618 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.618 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.618 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.618 * [taylor]: Taking taylor expansion of 1.0 in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (* x y) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (- (fma 1.0 y (* x y)) x) in y 0.618 * [taylor]: Taking taylor expansion of (fma 1.0 y (* x y)) in y 0.618 * [taylor]: Rewrote expression to (+ (* 1.0 y) (* x y)) 0.618 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.618 * [taylor]: Taking taylor expansion of 1.0 in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (* x y) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of (- x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of 0 in x 0.619 * [approximate]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in (y x) around 0 0.619 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in x 0.619 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in x 0.619 * [taylor]: Taking taylor expansion of 1.0 in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.620 * [taylor]: Taking taylor expansion of (* x y) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in y 0.620 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.620 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.620 * [taylor]: Taking taylor expansion of 1.0 in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.620 * [taylor]: Taking taylor expansion of (* x y) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of (- (fma 1.0 (/ 1 y) (/ 1 (* x y))) (/ 1 x)) in y 0.620 * [taylor]: Taking taylor expansion of (fma 1.0 (/ 1 y) (/ 1 (* x y))) in y 0.620 * [taylor]: Rewrote expression to (+ (* 1.0 (/ 1 y)) (/ 1 (* x y))) 0.620 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 y)) in y 0.620 * [taylor]: Taking taylor expansion of 1.0 in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.620 * [taylor]: Taking taylor expansion of (* x y) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in (y x) around 0 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in x 0.621 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.622 * [taylor]: Taking taylor expansion of (* x y) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.622 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.622 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.622 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.622 * [taylor]: Taking taylor expansion of 1.0 in y 0.622 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.622 * [taylor]: Taking taylor expansion of -1 in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.622 * [taylor]: Taking taylor expansion of (* x y) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (fma 1.0 (/ -1 y) (/ 1 (* x y)))) in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.622 * [taylor]: Taking taylor expansion of (fma 1.0 (/ -1 y) (/ 1 (* x y))) in y 0.622 * [taylor]: Rewrote expression to (+ (* 1.0 (/ -1 y)) (/ 1 (* x y))) 0.622 * [taylor]: Taking taylor expansion of (* 1.0 (/ -1 y)) in y 0.622 * [taylor]: Taking taylor expansion of 1.0 in y 0.622 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.622 * [taylor]: Taking taylor expansion of -1 in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.622 * [taylor]: Taking taylor expansion of (* x y) in y 0.622 * [taylor]: Taking taylor expansion of x in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * * * [progress]: simplifying candidates 0.624 * [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 1 (fma 1.0 y (* x y)) (- (* (cbrt x) (* (cbrt x) (cbrt x))))) (fma (- (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt x) (* (cbrt x) (cbrt x)))) (fma 1 (fma 1.0 y (* x y)) (- (* (sqrt x) (sqrt x)))) (fma (- (sqrt x)) (sqrt x) (* (sqrt x) (sqrt x))) (fma 1 (fma 1.0 y (* x y)) (- (* x 1))) (fma (- x) 1 (* x 1)) (expm1 (- (* 1 (fma 1.0 y (* x y))) x)) (log1p (- (* 1 (fma 1.0 y (* x y))) x)) (- x) (/ (exp (* 1 (fma 1.0 y (* x y)))) (exp x)) (log (- (* 1 (fma 1.0 y (* x y))) x)) (exp (- (* 1 (fma 1.0 y (* x y))) x)) (* (cbrt (- (* 1 (fma 1.0 y (* x y))) x)) (cbrt (- (* 1 (fma 1.0 y (* x y))) x))) (cbrt (- (* 1 (fma 1.0 y (* x y))) x)) (* (* (- (* 1 (fma 1.0 y (* x y))) x) (- (* 1 (fma 1.0 y (* x y))) x)) (- (* 1 (fma 1.0 y (* x y))) x)) (sqrt (- (* 1 (fma 1.0 y (* x y))) x)) (sqrt (- (* 1 (fma 1.0 y (* x y))) x)) (- (pow (* 1 (fma 1.0 y (* x y))) 3) (pow x 3)) (+ (* (* 1 (fma 1.0 y (* x y))) (* 1 (fma 1.0 y (* x y)))) (+ (* x x) (* (* 1 (fma 1.0 y (* x y))) x))) (- x) (- (* (* 1 (fma 1.0 y (* x y))) (* 1 (fma 1.0 y (* x y)))) (* x x)) (+ (* 1 (fma 1.0 y (* x y))) x) (- (fma 1.0 y (* x y)) x) (- (* 1 (* x y)) x) (- (* (* 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) 0.627 * * [simplify]: iteration 0 : 145 enodes (cost 182 ) 0.630 * * [simplify]: iteration 1 : 551 enodes (cost 148 ) 0.644 * * [simplify]: iteration 2 : 3267 enodes (cost 143 ) 0.714 * * [simplify]: iteration 3 : 5001 enodes (cost 142 ) 0.715 * [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)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (- (fma 1.0 y (* x y)) x) (- x x) (expm1 (- (* 1 (fma 1.0 y (* x y))) x)) (log1p (- (* 1 (fma 1.0 y (* x y))) x)) (- x) (exp (- (fma 1.0 y (* x y)) x)) (log (- (* 1 (fma 1.0 y (* x y))) x)) (exp (- (fma 1.0 y (* x y)) x)) (* (cbrt (- (* 1 (fma 1.0 y (* x y))) x)) (cbrt (- (* 1 (fma 1.0 y (* x y))) x))) (cbrt (- (* 1 (fma 1.0 y (* x y))) x)) (pow (- (fma 1.0 y (* x y)) x) 3) (sqrt (- (* 1 (fma 1.0 y (* x y))) x)) (sqrt (- (* 1 (fma 1.0 y (* x y))) x)) (- (pow (* 1 (fma 1.0 y (* x y))) 3) (pow x 3)) (fma (fma 1.0 y (* x y)) (fma y (+ 1.0 x) x) (* x x)) (- x) (* (- (fma 1.0 y (* x y)) x) (fma y (+ 1.0 x) x)) (fma y (+ 1.0 x) x) (- (fma 1.0 y (* x y)) x) (- (* x y) x) (- (* 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) 0.716 * * * [progress]: adding candidates to table 0.884 * [progress]: [Phase 3 of 3] Extracting. 0.884 * * [regime]: Finding splitpoints for: (# #) 0.884 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.884 * * * * [regimes]: Trying to branch on y from (# #) 0.916 * * * * [regimes]: Trying to branch on x from (# #) 0.946 * * * [regime]: Found split indices: #