14.568 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (* x (+ y 1.0)) 0.021 * * [simplify]: iteration 0 : 13 enodes (cost 2 ) 0.023 * * [simplify]: iteration 1 : 17 enodes (cost 2 ) 0.025 * * [simplify]: iteration 2 : 20 enodes (cost 2 ) 0.026 * * [simplify]: iteration 3 : 20 enodes (cost 2 ) 0.027 * [simplify]: Simplified to: (* x (+ y 1.0)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (* x (+ y 1.0)) in (x y) around 0 0.046 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in y 0.046 * [taylor]: Taking taylor expansion of x in y 0.046 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (* x (+ y 1.0)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.048 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of 1.0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in y 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 1.0 in y 0.053 * [taylor]: Taking taylor expansion of x in y 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) x) in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1.0 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of 1.0 in y 0.055 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in y 0.062 * [taylor]: Taking taylor expansion of -1 in y 0.062 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in y 0.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 y)) x)) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 y)) x) in x 0.063 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of 1.0 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* -1 (- 1.0 (/ 1 y))) in y 0.064 * [taylor]: Taking taylor expansion of -1 in y 0.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.064 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.071 * [taylor]: Taking taylor expansion of 0 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.080 * * * [progress]: simplifying candidates 0.081 * [simplify]: Simplifying using # : (expm1 (* x (+ y 1.0))) (log1p (* x (+ y 1.0))) (* x (+ y 1.0)) (+ (log x) (log (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (* (* (* x x) x) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (* x (+ y 1.0))) (cbrt (* x (+ y 1.0)))) (cbrt (* x (+ y 1.0))) (* (* (* x (+ y 1.0)) (* x (+ y 1.0))) (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* x y) (* x 1.0) (* y x) (* 1.0 x) (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* x (sqrt (+ y 1.0))) (* x 1) (* x 1) (* (cbrt x) (+ y 1.0)) (* (sqrt x) (+ y 1.0)) (* x (+ y 1.0)) (* x (+ (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) 0.084 * * [simplify]: iteration 0 : 130 enodes (cost 92 ) 0.088 * * [simplify]: iteration 1 : 559 enodes (cost 82 ) 0.102 * * [simplify]: iteration 2 : 2263 enodes (cost 82 ) 0.137 * * [simplify]: iteration 3 : 5001 enodes (cost 82 ) 0.138 * [simplify]: Simplified to: (expm1 (* x (+ y 1.0))) (log1p (* x (+ y 1.0))) (* x (+ y 1.0)) (log (* x (+ y 1.0))) (log (* x (+ y 1.0))) (exp (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (* (cbrt (* x (+ y 1.0))) (cbrt (* x (+ y 1.0)))) (cbrt (* x (+ y 1.0))) (pow (* x (+ y 1.0)) 3) (sqrt (* x (+ y 1.0))) (sqrt (* x (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* (sqrt x) (sqrt (+ y 1.0))) (* x y) (* x 1.0) (* x y) (* x 1.0) (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (* x (sqrt (+ y 1.0))) x x (* (cbrt x) (+ y 1.0)) (* (sqrt x) (+ y 1.0)) (* x (+ y 1.0)) (* x (+ (pow y 3) (pow 1.0 3))) (* x (- (* y y) (* 1.0 1.0))) (* x (+ y 1.0)) (* x (+ y 1.0)) (* x (+ y 1.0)) 0.138 * * * [progress]: adding candidates to table 0.181 * * [progress]: iteration 2 / 4 0.181 * * * [progress]: picking best candidate 0.184 * * * * [pick]: Picked # 0.184 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.192 * * * [progress]: generating series expansions 0.192 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.192 * [approximate]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in (x y) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in y 0.192 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.192 * [taylor]: Taking taylor expansion of 1.0 in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of (* x y) in y 0.192 * [taylor]: Taking taylor expansion of x in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.192 * [taylor]: Taking taylor expansion of (+ (* 1.0 x) (* x y)) in x 0.192 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.192 * [taylor]: Taking taylor expansion of 1.0 in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* x y) in x 0.192 * [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 x) (* x y)) in x 0.193 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [taylor]: Taking taylor expansion of x 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 0 in y 0.195 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of 1.0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in y 0.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.201 * [taylor]: Taking taylor expansion of 1.0 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.201 * [taylor]: Taking taylor expansion of (* x y) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.201 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 1.0 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.201 * [taylor]: Taking taylor expansion of (* x y) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 x)) (/ 1 (* x y))) in x 0.202 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.202 * [taylor]: Taking taylor expansion of (* x y) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of 1.0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [approximate]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.215 * [taylor]: Taking taylor expansion of (* x y) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.215 * [taylor]: Taking taylor expansion of 1.0 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.215 * [taylor]: Taking taylor expansion of (* x y) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.216 * [taylor]: Taking taylor expansion of 1.0 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (- (/ 1 (* x y)) (* 1.0 (/ 1 x))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.216 * [taylor]: Taking taylor expansion of (* x y) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of 1.0 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of 1.0 in y 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.227 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * * * [progress]: simplifying candidates 0.237 * [simplify]: Simplifying using # : (expm1 (+ (* x y) (* x 1.0))) (log1p (+ (* x y) (* x 1.0))) (* (exp (* x y)) (exp (* x 1.0))) (log (+ (* x y) (* x 1.0))) (exp (+ (* x y) (* x 1.0))) (* (cbrt (+ (* x y) (* x 1.0))) (cbrt (+ (* x y) (* x 1.0)))) (cbrt (+ (* x y) (* x 1.0))) (* (* (+ (* x y) (* x 1.0)) (+ (* x y) (* x 1.0))) (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (+ (pow (* x y) 3) (pow (* x 1.0) 3)) (+ (* (* x y) (* x y)) (- (* (* x 1.0) (* x 1.0)) (* (* x y) (* x 1.0)))) (- (* (* x y) (* x y)) (* (* x 1.0) (* x 1.0))) (- (* x y) (* x 1.0)) (+ y 1.0) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) (+ (* 1.0 x) (* x y)) 0.240 * * [simplify]: iteration 0 : 107 enodes (cost 80 ) 0.244 * * [simplify]: iteration 1 : 407 enodes (cost 69 ) 0.255 * * [simplify]: iteration 2 : 1581 enodes (cost 68 ) 0.290 * * [simplify]: iteration 3 : 5001 enodes (cost 67 ) 0.291 * [simplify]: Simplified to: (expm1 (+ (* x y) (* x 1.0))) (log1p (+ (* x y) (* x 1.0))) (pow (exp x) (+ y 1.0)) (log (+ (* x y) (* x 1.0))) (pow (exp x) (+ y 1.0)) (* (cbrt (+ (* x y) (* x 1.0))) (cbrt (+ (* x y) (* x 1.0)))) (cbrt (+ (* x y) (* x 1.0))) (pow (fma x y (* x 1.0)) 3) (sqrt (+ (* x y) (* x 1.0))) (sqrt (+ (* x y) (* x 1.0))) (+ (pow (* x y) 3) (pow (* x 1.0) 3)) (* (* x x) (- (fma y y (* 1.0 1.0)) (* y 1.0))) (* (* x x) (- (* y y) (* 1.0 1.0))) (* x (- y 1.0)) (+ y 1.0) (fma x y (* x 1.0)) (fma x y (* x 1.0)) (fma x y (* x 1.0)) 0.291 * * * [progress]: adding candidates to table 0.322 * * [progress]: iteration 3 / 4 0.322 * * * [progress]: picking best candidate 0.323 * * * * [pick]: Picked # 0.323 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * [progress]: generating series expansions 0.328 * * * [progress]: simplifying candidates 0.328 * [simplify]: Simplifying using # : 0.331 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.331 * [simplify]: Simplified to: 0.331 * * * [progress]: adding candidates to table 0.331 * [progress]: [Phase 3 of 3] Extracting. 0.333 * [simplify]: Simplifying using # : (fma x y (* x 1.0)) 0.334 * * [simplify]: iteration 0 : 6 enodes (cost 2 ) 0.334 * * [simplify]: iteration 1 : 6 enodes (cost 2 ) 0.334 * [simplify]: Simplified to: (fma x y (* x 1.0)) 0.878 * [regime-testing]: End program error score: 0 0.895 * [regime-testing]: Target error score: 0.0075009376172021506