7.402 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.027 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.031 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.035 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.040 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.044 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.049 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.053 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.053 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.076 * [taylor]: Taking taylor expansion of (+ x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.076 * [taylor]: Taking taylor expansion of (+ x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.076 * [taylor]: Taking taylor expansion of (+ x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.077 * [taylor]: Taking taylor expansion of 2 in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.080 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of 2 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.087 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.090 * [taylor]: Taking taylor expansion of 2 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.094 * * * [progress]: simplifying candidates 0.095 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* (+ x y) y) (* (+ x y) x) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.101 * * [simplify]: iteration 0 : 194 enodes (cost 229 ) 0.109 * * [simplify]: iteration 1 : 953 enodes (cost 202 ) 0.148 * * [simplify]: iteration 2 : 5002 enodes (cost 188 ) 0.150 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) 6) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.151 * * * [progress]: adding candidates to table 0.214 * * [progress]: iteration 2 / 4 0.214 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.247 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.254 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.264 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.264 * [taylor]: Taking taylor expansion of 2 in y 0.264 * [taylor]: Taking taylor expansion of (* x y) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.264 * [taylor]: Taking taylor expansion of 2 in x 0.264 * [taylor]: Taking taylor expansion of (* x y) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.265 * [taylor]: Taking taylor expansion of 2 in x 0.265 * [taylor]: Taking taylor expansion of (* x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.267 * [taylor]: Taking taylor expansion of 2 in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.273 * [taylor]: Taking taylor expansion of 1 in y 0.275 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.275 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.276 * [taylor]: Taking taylor expansion of 2 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.276 * [taylor]: Taking taylor expansion of (* x y) in y 0.276 * [taylor]: Taking taylor expansion of x in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.278 * [taylor]: Taking taylor expansion of 2 in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.278 * [taylor]: Taking taylor expansion of (* x y) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.279 * [taylor]: Taking taylor expansion of 2 in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.279 * [taylor]: Taking taylor expansion of (* x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.281 * [taylor]: Taking taylor expansion of 2 in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.286 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.287 * [taylor]: Taking taylor expansion of 2 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.287 * [taylor]: Taking taylor expansion of (* x y) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.289 * [taylor]: Taking taylor expansion of 2 in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.289 * [taylor]: Taking taylor expansion of (* x y) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.290 * [taylor]: Taking taylor expansion of 2 in x 0.290 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.290 * [taylor]: Taking taylor expansion of (* x y) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of 1 in y 0.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.292 * [taylor]: Taking taylor expansion of 2 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.297 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.297 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.297 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (+ x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (+ x y) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (+ x y) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of 1 in x 0.300 * [taylor]: Taking taylor expansion of 0 in x 0.302 * [taylor]: Taking taylor expansion of 0 in x 0.302 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.302 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 1 in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 0 in x 0.312 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.316 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 1 in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of 0 in x 0.325 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.329 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.329 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (+ x y) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ x y) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (+ x y) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of 1 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.336 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.336 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.336 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of 1 in y 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.349 * [taylor]: Taking taylor expansion of y in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.360 * * * [progress]: simplifying candidates 0.362 * [simplify]: Simplifying using # : (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y))) (+ x y) (+ x y) (+ x (* y 1)) (+ x (* y 1)) (+ (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (* (cbrt (+ x y)) (cbrt (+ x y))))) (+ (* x (sqrt (+ x y))) (* y (sqrt (+ x y)))) (+ (* x 1) y) (+ (* x 1) (* y 1)) (+ (* x 1) (* y 1)) (+ (* x 1) y) (+ (* x 1) (* y 1)) (+ (* x 1) (* y 1)) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* y y)) (+ (* x (+ x y)) (* x y)) (+ (* x (+ x y)) (* y y)) (+ (* x y) (* y (+ x y))) (+ (* x x) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (+ (* x x) (* y (+ x y))) (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* y y) (* y x) (* x y) (* y y) (* y y) (* x y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x y) (* x x) (* x x) (* y x) (* y x) (* x x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.369 * * [simplify]: iteration 0 : 394 enodes (cost 455 ) 0.385 * * [simplify]: iteration 1 : 2226 enodes (cost 394 ) 0.452 * * [simplify]: iteration 2 : 5001 enodes (cost 387 ) 0.455 * [simplify]: Simplified to: (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (exp (* (+ x y) (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (pow (+ y x) 6) (fabs (+ y x)) (fabs (+ y x)) (* (fma x x (* y (- y x))) (+ (* x (+ (pow x 3) (pow y 3))) (* y (+ (pow x 3) (pow y 3))))) (* (fma x x (* y (- y x))) (+ (pow x 2) (* y (- y x)))) (fma (fma x x (* y (- y x))) (* y (- (* x x) (* y y))) (* (* x (+ (pow x 3) (pow y 3))) (- x y))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (fma (fma x x (* y (- y x))) (* x (- (* x x) (* y y))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* x (- (* x x) (* y y))) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (fma x (* x (* (+ x y) (+ x y))) (* (* (+ x y) (* y (+ x y))) (- y x))) (* (pow (+ y x) 3) (- x y)) (- (* x x) (* y y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (+ y x) (+ y x) (+ y x) (+ y x) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (+ y x) (+ y x) (+ y x) (+ y x) (+ y x) (+ y x) (fma x (+ x y) (* x y)) (fma x (+ x y) (* y y)) (fma x (+ x y) (* x y)) (fma x (+ x y) (* y y)) (fma y x (* y (+ x y))) (fma x (+ x y) (* y y)) (fma y x (* y (+ x y))) (fma x (+ x y) (* y y)) (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (pow (* y (+ x y)) 3) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* x y) (pow y 2) (pow y 2) (* x y) (* x y) (pow y 2) (pow y 2) (* x y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (fma (pow x 3) y (pow y 4)) (* y (- (* x x) (* y y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (log (* x (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (pow (* x (+ x y)) 3) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (pow (* x (+ x y)) 3) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (pow x 2) (* x y) (* x y) (pow x 2) (pow x 2) (* x y) (* x y) (pow x 2) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (fma (pow y 3) x (pow x 4)) (* x (- (* x x) (* y y))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 0.456 * * * [progress]: adding candidates to table 0.682 * * [progress]: iteration 3 / 4 0.682 * * * [progress]: picking best candidate 0.686 * * * * [pick]: Picked # 0.686 * * * [progress]: localizing error 0.698 * * * [progress]: generating rewritten candidates 0.698 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.699 * * * [progress]: generating series expansions 0.699 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.699 * [approximate]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in (x y) around 0 0.699 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in y 0.699 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.699 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in y 0.699 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.699 * [taylor]: Taking taylor expansion of 2 in y 0.699 * [taylor]: Taking taylor expansion of x in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in x 0.700 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.700 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in x 0.700 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.700 * [taylor]: Taking taylor expansion of 2 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in x 0.700 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.700 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in x 0.700 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.700 * [taylor]: Taking taylor expansion of 2 in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.700 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.700 * [taylor]: Taking taylor expansion of y in x 0.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.702 * [taylor]: Taking taylor expansion of 2 in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.707 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [approximate]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in (x y) around 0 0.712 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in y 0.712 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.712 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in y 0.712 * [taylor]: Taking taylor expansion of (/ 2 x) in y 0.712 * [taylor]: Taking taylor expansion of 2 in y 0.712 * [taylor]: Taking taylor expansion of x in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 0.713 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in x 0.713 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.713 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in x 0.713 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.713 * [taylor]: Taking taylor expansion of 2 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in x 0.714 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.714 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.714 * [taylor]: Taking taylor expansion of 2 in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.715 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.715 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.715 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.715 * [taylor]: Taking taylor expansion of 2 in y 0.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.717 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.717 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.729 * [taylor]: Taking taylor expansion of 0 in y 0.731 * [approximate]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in (x y) around 0 0.731 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in y 0.731 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.731 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in y 0.731 * [taylor]: Taking taylor expansion of (/ -2 x) in y 0.731 * [taylor]: Taking taylor expansion of -2 in y 0.731 * [taylor]: Taking taylor expansion of x in y 0.731 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.731 * [taylor]: Taking taylor expansion of -1 in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.732 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.732 * [taylor]: Taking taylor expansion of -1 in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in x 0.733 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.733 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in x 0.733 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.733 * [taylor]: Taking taylor expansion of -2 in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.733 * [taylor]: Taking taylor expansion of -1 in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.733 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.733 * [taylor]: Taking taylor expansion of -1 in x 0.733 * [taylor]: Taking taylor expansion of y in x 0.733 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in x 0.733 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.733 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in x 0.733 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.733 * [taylor]: Taking taylor expansion of -2 in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.734 * [taylor]: Taking taylor expansion of -1 in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.734 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.734 * [taylor]: Taking taylor expansion of -1 in x 0.734 * [taylor]: Taking taylor expansion of y in x 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.734 * [taylor]: Taking taylor expansion of 2 in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.748 * [taylor]: Taking taylor expansion of 0 in y 0.749 * * * [progress]: simplifying candidates 0.750 * [simplify]: Simplifying using # : (expm1 (fma (* 2 x) y (pow y 2))) (log1p (fma (* 2 x) y (pow y 2))) (* (* 2 x) y) (log (fma (* 2 x) y (pow y 2))) (exp (fma (* 2 x) y (pow y 2))) (* (cbrt (fma (* 2 x) y (pow y 2))) (cbrt (fma (* 2 x) y (pow y 2)))) (cbrt (fma (* 2 x) y (pow y 2))) (* (* (fma (* 2 x) y (pow y 2)) (fma (* 2 x) y (pow y 2))) (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.754 * * [simplify]: iteration 0 : 30 enodes (cost 59 ) 0.758 * * [simplify]: iteration 1 : 80 enodes (cost 52 ) 0.763 * * [simplify]: iteration 2 : 379 enodes (cost 48 ) 0.778 * * [simplify]: iteration 3 : 1859 enodes (cost 47 ) 0.881 * * [simplify]: iteration 4 : 5002 enodes (cost 47 ) 0.882 * [simplify]: Simplified to: (expm1 (fma (* 2 x) y (pow y 2))) (log1p (fma (* 2 x) y (pow y 2))) (* 2 (* x y)) (log (fma (* 2 x) y (pow y 2))) (pow (exp y) (fma x 2 y)) (* (cbrt (fma (* 2 x) y (pow y 2))) (cbrt (fma (* 2 x) y (pow y 2)))) (cbrt (fma (* 2 x) y (pow y 2))) (pow (* (fma x 2 y) y) 3) (sqrt (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 0.882 * * * [progress]: adding candidates to table 0.924 * * [progress]: iteration 4 / 4 0.924 * * * [progress]: picking best candidate 0.926 * * * * [pick]: Picked # 0.926 * * * [progress]: localizing error 0.933 * * * [progress]: generating rewritten candidates 0.933 * * * [progress]: generating series expansions 0.933 * * * [progress]: simplifying candidates 0.933 * [simplify]: Simplifying using # : 0.937 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.937 * [simplify]: Simplified to: 0.937 * * * [progress]: adding candidates to table 0.937 * [progress]: [Phase 3 of 3] Extracting. 0.940 * [simplify]: Simplifying using # : (fma x x (* (fma x 2 y) y)) 0.942 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.942 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.942 * [simplify]: Simplified to: (fma x x (* (fma x 2 y) y)) 1.462 * [regime-testing]: End program error score: 0.007324035817067278 1.482 * [regime-testing]: Target error score: 0.013610496902060683