0.840 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.256 * * * [progress]: [2/2] Setting up program. 0.259 * [progress]: [Phase 2 of 3] Improving. 0.262 * [simplify]: Simplifying using # : (* 0.5 (- (* x x) y)) 0.264 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.267 * * [simplify]: iteration 1 : 10 enodes (cost 7 ) 0.269 * * [simplify]: iteration 2 : 17 enodes (cost 7 ) 0.271 * * [simplify]: iteration 3 : 29 enodes (cost 7 ) 0.274 * * [simplify]: iteration 4 : 38 enodes (cost 7 ) 0.279 * * [simplify]: iteration 5 : 40 enodes (cost 7 ) 0.284 * * [simplify]: iteration done : 40 enodes (cost 7 ) 0.284 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.285 * * [progress]: iteration 1 / 4 0.285 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.293 * * * [progress]: generating rewritten candidates 0.293 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.300 * * * [progress]: generating series expansions 0.300 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.305 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (- y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of 1 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of 1 in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.330 * * * [progress]: simplifying candidates 0.330 * [simplify]: Simplifying using # : (fma x x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (fma x x (- (* (sqrt y) (sqrt y)))) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (fma x x (- (* y 1))) (fma (- y) 1 (* y 1)) (expm1 (- (* x x) y)) (log1p (- (* x x) y)) (- y) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x 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)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.332 * * [simplify]: iteration 0 : 51 enodes (cost 213 ) 0.349 * * [simplify]: iteration 1 : 120 enodes (cost 179 ) 0.375 * * [simplify]: iteration 2 : 408 enodes (cost 148 ) 0.544 * * [simplify]: iteration 3 : 2058 enodes (cost 142 ) 1.665 * * [simplify]: iteration done : 5000 enodes (cost 142 ) 1.665 * [simplify]: Simplified to: (fma x x (- y)) 0 (fma x x (- y)) 0 (fma x x (- y)) 0 (expm1 (- (* x x) y)) (log1p (- (* x x) y)) (- y) (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))) (cbrt (- (* x x) y)) (pow (fma x x (- y)) 3) (sqrt (- (* x x) y)) (sqrt (- (* x x) y)) (- (pow x 6) (pow y 3)) (fma y (fma x x y) (pow x 4)) (- y) (- (pow x 4) (* y y)) (fma x x y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (fma x x (- y)) (fma x x (- y)) (fma x x (- y)) 1.665 * * * [progress]: adding candidates to table 1.706 * * [progress]: iteration 2 / 4 1.706 * * * [progress]: picking best candidate 1.707 * * * * [pick]: Picked # 1.707 * * * [progress]: localizing error 1.713 * * * [progress]: generating rewritten candidates 1.713 * * * [progress]: generating series expansions 1.713 * * * [progress]: simplifying candidates 1.713 * [simplify]: Simplifying using # : 1.714 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.714 * * [simplify]: iteration done : 0 enodes (cost 0 ) 1.714 * [simplify]: Simplified to: 1.714 * * * [progress]: adding candidates to table 1.714 * [progress]: [Phase 3 of 3] Extracting. 1.716 * [simplify]: Simplifying using # : (* 0.5 (fma x x (- y))) 1.716 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 1.717 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 1.717 * * [simplify]: iteration done : 7 enodes (cost 7 ) 1.717 * [simplify]: Simplified to: (* 0.5 (fma x x (- y))) 2.163 * [regime-testing]: End program error score: 0.008126015751968996