18.961 * [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. 0.018 * [simplify]: Simplifying using # : (* (+ x y) (- x y)) 0.019 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.020 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.021 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.024 * * [simplify]: iteration 3 : 59 enodes (cost 7 ) 0.033 * * [simplify]: iteration 4 : 118 enodes (cost 7 ) 0.053 * * [simplify]: iteration 5 : 224 enodes (cost 7 ) 0.086 * * [simplify]: iteration 6 : 319 enodes (cost 7 ) 0.139 * * [simplify]: iteration 7 : 499 enodes (cost 7 ) 0.256 * * [simplify]: iteration 8 : 1546 enodes (cost 7 ) 1.297 * * [simplify]: iteration done : 5000 enodes (cost 7 ) 1.298 * [simplify]: Simplified to: (* (+ x y) (- x y)) 1.298 * * [progress]: iteration 1 / 4 1.298 * * * [progress]: picking best candidate 1.300 * * * * [pick]: Picked # 1.300 * * * [progress]: localizing error 1.304 * * * [progress]: generating rewritten candidates 1.304 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.325 * * * [progress]: generating series expansions 1.325 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.325 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 1.325 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.325 * [taylor]: Taking taylor expansion of (+ x y) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.325 * [taylor]: Taking taylor expansion of (- x y) in y 1.325 * [taylor]: Taking taylor expansion of x in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.325 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.325 * [taylor]: Taking taylor expansion of (+ x y) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of y in x 1.325 * [taylor]: Taking taylor expansion of (- x y) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of y in x 1.325 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.325 * [taylor]: Taking taylor expansion of (+ x y) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of y in x 1.325 * [taylor]: Taking taylor expansion of (- x y) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of y in x 1.325 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.326 * [taylor]: Taking taylor expansion of -1 in y 1.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.326 * [taylor]: Taking taylor expansion of y in y 1.327 * [taylor]: Taking taylor expansion of 0 in y 1.328 * [taylor]: Taking taylor expansion of 1 in y 1.329 * [taylor]: Taking taylor expansion of 0 in y 1.331 * [taylor]: Taking taylor expansion of 0 in y 1.332 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.332 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.332 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.332 * [taylor]: Taking taylor expansion of x in y 1.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.332 * [taylor]: Taking taylor expansion of y in y 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.332 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.333 * [taylor]: Taking taylor expansion of x in y 1.333 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.333 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.333 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.333 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.334 * [taylor]: Taking taylor expansion of y in x 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.334 * [taylor]: Taking taylor expansion of y in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of 1 in y 1.336 * [taylor]: Taking taylor expansion of 0 in y 1.338 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.338 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.338 * [taylor]: Taking taylor expansion of y in y 1.341 * [taylor]: Taking taylor expansion of 0 in y 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.346 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.346 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.347 * [taylor]: Taking taylor expansion of -1 in y 1.347 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.347 * [taylor]: Taking taylor expansion of x in y 1.347 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.347 * [taylor]: Taking taylor expansion of y in y 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.347 * [taylor]: Taking taylor expansion of x in y 1.347 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.347 * [taylor]: Taking taylor expansion of -1 in x 1.347 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.347 * [taylor]: Taking taylor expansion of y in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.348 * [taylor]: Taking taylor expansion of y in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.348 * [taylor]: Taking taylor expansion of -1 in x 1.348 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.348 * [taylor]: Taking taylor expansion of y in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.348 * [taylor]: Taking taylor expansion of y in x 1.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.350 * [taylor]: Taking taylor expansion of 1 in y 1.352 * [taylor]: Taking taylor expansion of 0 in y 1.354 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.355 * [taylor]: Taking taylor expansion of y in y 1.358 * [taylor]: Taking taylor expansion of 0 in y 1.364 * [taylor]: Taking taylor expansion of 0 in y 1.368 * * * [progress]: simplifying candidates 1.369 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (* (+ x y) (- x y)) (+ (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)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma (sqrt x) (sqrt x) (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (+ x y) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* (+ x y) (fma 1 x (- (* (sqrt y) (sqrt y))))) (* (+ x y) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (+ x y) (fma 1 x (- (* y 1)))) (* (+ x y) (fma (- y) 1 (* y 1))) (* (+ x y) x) (* (+ x y) (- y)) (* (+ x y) x) (* (+ x y) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (+ x y)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (+ x y)) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (+ x y)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (+ x y)) (* (fma 1 x (- (* y 1))) (+ x y)) (* (fma (- y) 1 (* y 1)) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* x (+ x y)) (* (- y) (+ x y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (* (+ x y) 1) (* (+ x y) (+ (sqrt x) (sqrt y))) (* (+ 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)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 1.373 * * [simplify]: iteration 0 : 120 enodes (cost 1016 ) 1.392 * * [simplify]: iteration 1 : 352 enodes (cost 837 ) 1.483 * * [simplify]: iteration 2 : 1570 enodes (cost 701 ) 2.208 * * [simplify]: iteration done : 5000 enodes (cost 701 ) 2.208 * [simplify]: Simplified to: (expm1 (* (+ x y) (- x y))) (log1p (* (+ x y) (- x y))) (* (+ x y) (- x y)) (log (* (+ x y) (- x y))) (log (* (+ x y) (- x y))) (exp (* (+ x y) (- x y))) (pow (* (+ x y) (- x y)) 3) (* (cbrt (* (+ x y) (- x y))) (cbrt (* (+ x y) (- x y)))) (cbrt (* (+ x y) (- x y))) (pow (* (+ x y) (- x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (* (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (* (fma x x (* y (+ x y))) (fma x x (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ x y) (fma x x (* y (- y x)))) (* (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (* (- x y) (fma x x (* y (+ x y)))) (* (* (+ x y) (- (* x x) (* y y))) (- x y)) (* (+ x y) (- x y)) (* (sqrt (+ x y)) (sqrt (- x y))) (* (sqrt (+ x y)) (sqrt (- x y))) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- y)) (+ x y)) (* (* y 0) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- y)) (+ x y)) (* (* y 0) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- y)) (+ x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* x (+ x y)) (* (+ x y) (- y)) (* x (+ x y)) (* (+ x y) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- y)) (+ x y)) (* (* y 0) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- y)) (+ x y)) (* (* y 0) (+ x y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- y)) (+ x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* (+ x y) (- x y)) (* (* y 0) (+ x y)) (* x (+ x y)) (* (+ x y) (- y)) (* x (+ x y)) (* (+ x y) (- y)) (* (+ x y) (* (cbrt (- x y)) (cbrt (- x y)))) (* (+ x y) (sqrt (- x y))) (+ x y) (* (+ x y) (+ (sqrt x) (sqrt y))) (+ x y) (* (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 y) (- x y)) (+ x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) (* (+ x y) (- x y)) 2.209 * * * [progress]: adding candidates to table 2.274 * * [progress]: iteration 2 / 4 2.274 * * * [progress]: picking best candidate 2.275 * * * * [pick]: Picked # 2.275 * * * [progress]: localizing error 2.283 * * * [progress]: generating rewritten candidates 2.283 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 2.297 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 2.315 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 2.320 * * * [progress]: generating series expansions 2.320 * * * * [progress]: [ 1 / 3 ] generating series at (2) 2.321 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 2.321 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.321 * [taylor]: Taking taylor expansion of x in y 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.321 * [taylor]: Taking taylor expansion of y in y 2.321 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.321 * [taylor]: Taking taylor expansion of y in x 2.321 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.321 * [taylor]: Taking taylor expansion of y in x 2.321 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 2.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.321 * [taylor]: Taking taylor expansion of y in y 2.322 * [taylor]: Taking taylor expansion of 0 in y 2.323 * [taylor]: Taking taylor expansion of 1 in y 2.325 * [taylor]: Taking taylor expansion of 0 in y 2.327 * [taylor]: Taking taylor expansion of 0 in y 2.327 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.327 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.328 * [taylor]: Taking taylor expansion of x in y 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.328 * [taylor]: Taking taylor expansion of y in y 2.328 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.328 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.329 * [taylor]: Taking taylor expansion of y in x 2.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.329 * [taylor]: Taking taylor expansion of x in x 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.329 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.329 * [taylor]: Taking taylor expansion of y in x 2.330 * [taylor]: Taking taylor expansion of 1 in y 2.331 * [taylor]: Taking taylor expansion of 0 in y 2.332 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.332 * [taylor]: Taking taylor expansion of y in y 2.334 * [taylor]: Taking taylor expansion of 0 in y 2.337 * [taylor]: Taking taylor expansion of 0 in y 2.339 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.339 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.339 * [taylor]: Taking taylor expansion of x in y 2.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.339 * [taylor]: Taking taylor expansion of y in y 2.340 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.340 * [taylor]: Taking taylor expansion of x in x 2.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.340 * [taylor]: Taking taylor expansion of y in x 2.341 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.341 * [taylor]: Taking taylor expansion of y in x 2.342 * [taylor]: Taking taylor expansion of 1 in y 2.343 * [taylor]: Taking taylor expansion of 0 in y 2.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.347 * [taylor]: Taking taylor expansion of y in y 2.350 * [taylor]: Taking taylor expansion of 0 in y 2.353 * [taylor]: Taking taylor expansion of 0 in y 2.355 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 2.355 * [approximate]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 2.355 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in y 2.355 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.355 * [taylor]: Taking taylor expansion of x in y 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.355 * [taylor]: Taking taylor expansion of y in y 2.355 * [taylor]: Taking taylor expansion of (+ x y) in y 2.355 * [taylor]: Taking taylor expansion of x in y 2.355 * [taylor]: Taking taylor expansion of y in y 2.355 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 2.355 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.355 * [taylor]: Taking taylor expansion of (+ x y) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.355 * [taylor]: Taking taylor expansion of (* (- (pow x 2) (pow y 2)) (+ x y)) in x 2.355 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.355 * [taylor]: Taking taylor expansion of (+ x y) in x 2.355 * [taylor]: Taking taylor expansion of x in x 2.355 * [taylor]: Taking taylor expansion of y in x 2.356 * [taylor]: Taking taylor expansion of (* -1 (pow y 3)) in y 2.356 * [taylor]: Taking taylor expansion of -1 in y 2.356 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.356 * [taylor]: Taking taylor expansion of y in y 2.357 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 2.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.357 * [taylor]: Taking taylor expansion of y in y 2.358 * [taylor]: Taking taylor expansion of y in y 2.360 * [taylor]: Taking taylor expansion of 1 in y 2.361 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.361 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.361 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.361 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.361 * [taylor]: Taking taylor expansion of y in y 2.362 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.362 * [taylor]: Taking taylor expansion of x in y 2.362 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.362 * [taylor]: Taking taylor expansion of x in y 2.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.362 * [taylor]: Taking taylor expansion of y in y 2.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.362 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.362 * [taylor]: Taking taylor expansion of y in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.363 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.363 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.363 * [taylor]: Taking taylor expansion of y in x 2.363 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.363 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.363 * [taylor]: Taking taylor expansion of y in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.364 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.364 * [taylor]: Taking taylor expansion of y in x 2.365 * [taylor]: Taking taylor expansion of 1 in y 2.367 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.367 * [taylor]: Taking taylor expansion of y in y 2.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.369 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.370 * [taylor]: Taking taylor expansion of y in y 2.373 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 2.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.373 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.373 * [taylor]: Taking taylor expansion of y in y 2.375 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 2.375 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 2.375 * [taylor]: Taking taylor expansion of -1 in y 2.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.375 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 2.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.375 * [taylor]: Taking taylor expansion of y in y 2.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.375 * [taylor]: Taking taylor expansion of x in y 2.376 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.376 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.376 * [taylor]: Taking taylor expansion of x in y 2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.376 * [taylor]: Taking taylor expansion of y in y 2.376 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.376 * [taylor]: Taking taylor expansion of -1 in x 2.376 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.376 * [taylor]: Taking taylor expansion of y in x 2.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.376 * [taylor]: Taking taylor expansion of x in x 2.377 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.377 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.377 * [taylor]: Taking taylor expansion of x in x 2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.377 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.377 * [taylor]: Taking taylor expansion of y in x 2.378 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 2.378 * [taylor]: Taking taylor expansion of -1 in x 2.378 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.378 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.378 * [taylor]: Taking taylor expansion of y in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.378 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.378 * [taylor]: Taking taylor expansion of x in x 2.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.379 * [taylor]: Taking taylor expansion of y in x 2.380 * [taylor]: Taking taylor expansion of -1 in y 2.382 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.382 * [taylor]: Taking taylor expansion of y in y 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.385 * [taylor]: Taking taylor expansion of y in y 2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.389 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.389 * [taylor]: Taking taylor expansion of y in y 2.391 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 2.391 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 2.391 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.391 * [taylor]: Taking taylor expansion of x in y 2.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.391 * [taylor]: Taking taylor expansion of y in y 2.391 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.391 * [taylor]: Taking taylor expansion of x in x 2.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.391 * [taylor]: Taking taylor expansion of y in x 2.391 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.391 * [taylor]: Taking taylor expansion of x in x 2.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.391 * [taylor]: Taking taylor expansion of y in x 2.391 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 2.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.391 * [taylor]: Taking taylor expansion of y in y 2.392 * [taylor]: Taking taylor expansion of 0 in y 2.393 * [taylor]: Taking taylor expansion of 1 in y 2.395 * [taylor]: Taking taylor expansion of 0 in y 2.397 * [taylor]: Taking taylor expansion of 0 in y 2.397 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.397 * [taylor]: Taking taylor expansion of x in y 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.398 * [taylor]: Taking taylor expansion of y in y 2.398 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.398 * [taylor]: Taking taylor expansion of x in x 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.399 * [taylor]: Taking taylor expansion of y in x 2.399 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.399 * [taylor]: Taking taylor expansion of x in x 2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.399 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.399 * [taylor]: Taking taylor expansion of y in x 2.400 * [taylor]: Taking taylor expansion of 1 in y 2.401 * [taylor]: Taking taylor expansion of 0 in y 2.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.402 * [taylor]: Taking taylor expansion of y in y 2.404 * [taylor]: Taking taylor expansion of 0 in y 2.407 * [taylor]: Taking taylor expansion of 0 in y 2.409 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.409 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.409 * [taylor]: Taking taylor expansion of x in y 2.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.409 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.409 * [taylor]: Taking taylor expansion of y in y 2.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.410 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.410 * [taylor]: Taking taylor expansion of y in x 2.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.411 * [taylor]: Taking taylor expansion of y in x 2.411 * [taylor]: Taking taylor expansion of 1 in y 2.412 * [taylor]: Taking taylor expansion of 0 in y 2.413 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.414 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.414 * [taylor]: Taking taylor expansion of y in y 2.416 * [taylor]: Taking taylor expansion of 0 in y 2.419 * [taylor]: Taking taylor expansion of 0 in y 2.420 * * * [progress]: simplifying candidates 2.422 * [simplify]: Simplifying using # : (expm1 (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (log1p (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (- (+ (log (+ x y)) (log (- (* x x) (* y y)))) (log (+ x y))) (- (log (* (+ x y) (- (* x x) (* y y)))) (log (+ x y))) (log (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (exp (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (/ (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (* (+ x y) (+ x y)) (+ x 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))) (* (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y)))) (cbrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (* (* (/ (* (+ x y) (- (* x x) (* y y))) (+ x y)) (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (sqrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (sqrt (/ (* (+ x y) (- (* x x) (* y y))) (+ x y))) (- (* (+ x y) (- (* x x) (* y y)))) (- (+ x y)) (/ (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (- (* x x) (* y y)) (cbrt (+ x y))) (/ (+ x y) (sqrt (+ x y))) (/ (- (* x x) (* y y)) (sqrt (+ x y))) (/ (+ x y) 1) (/ (- (* x x) (* y y)) (+ x y)) (/ (+ x y) 1) (/ (- (* x x) (* y y)) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (* (+ x y) (- (* x x) (* y y)))) (/ (* (+ x y) (- (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (+ x y) (- (* x x) (* y y))) (sqrt (+ x y))) (/ (* (+ x y) (- (* x x) (* y y))) 1) (/ (* (+ x y) (- (* x x) (* y y))) 1) (/ (+ x y) (- (* x x) (* y y))) (/ (* (+ x y) (- (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (/ (* (+ x y) (- (* x x) (* y y))) (- (* x x) (* y y))) (* (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (+ x y) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (* y y)))) (* (+ x y) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))))) (* (+ x y) (* (- x y) (+ (* x x) (* y y)))) (* (+ x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (+ x y) (+ (* x x) (* y y))) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))) (* (+ x y) (- x y)) (expm1 (* (+ x y) (- (* x x) (* y y)))) (log1p (* (+ x y) (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y))) (+ (log (+ x y)) (log (- (* x x) (* y y)))) (log (* (+ x y) (- (* x x) (* y y)))) (exp (* (+ x y) (- (* x x) (* y y)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (* (cbrt (* (+ x y) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- (* x x) (* y y))))) (cbrt (* (+ x y) (- (* x x) (* y y)))) (* (* (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- (* x x) (* y y)))) (* (+ (pow x 3) (pow y 3)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (+ (pow x 3) (pow y 3)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (* y y))) (* (- (* x x) (* y y)) (- (pow (* x x) 3) (pow (* y y) 3))) (* (- x y) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- (* x x) (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- x y) (+ (* x x) (* y y))) (* (sqrt (+ x y)) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ x y)) (sqrt (- (* x x) (* y y)))) (* (+ x y) (fma x x (- (* y y)))) (* (+ x y) (fma (- y) y (* y y))) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (fma x x (- (* y y))) (+ x y)) (* (fma (- y) y (* y y)) (+ x y)) (* (* x x) (+ x y)) (* (- (* y y)) (+ x y)) (* (* x x) (+ x y)) (* (- (* y y)) (+ x y)) (* (+ x y) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* (+ x y) (sqrt (- (* x x) (* y y)))) (* (+ x y) 1) (* (+ x y) (+ x y)) (* (cbrt (+ x y)) (- (* x x) (* y y))) (* (sqrt (+ x y)) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ x y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (fma x x (- (* y y))) (fma (- y) y (* y y)) (expm1 (- (* x x) (* y y))) (log1p (- (* x x) (* y y))) (- (* y y)) (/ (exp (* x x)) (exp (* y y))) (log (- (* x x) (* y y))) (exp (- (* x x) (* y y))) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (* (* (- (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (sqrt (- (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (- (* y y)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (+ (* (pow x 2) y) (pow x 3)) (* x (pow y 2))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (* (pow x 2) y) (+ (* x (pow y 2)) (pow y 3))) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 2.426 * * [simplify]: iteration 0 : 132 enodes (cost 1658 ) 2.452 * * [simplify]: iteration 1 : 411 enodes (cost 1560 ) 2.580 * * [simplify]: iteration 2 : 2444 enodes (cost 1196 ) 3.501 * * [simplify]: iteration done : 5001 enodes (cost 1196 ) 3.502 * [simplify]: Simplified to: (expm1 (* (- x y) (+ x y))) (log1p (* (- x y) (+ x y))) (log (- (* x x) (* y y))) (log (- (* x x) (* y y))) (log (- (* x x) (* y y))) (pow (exp (+ x y)) (- x y)) (pow (* (- x y) (+ x y)) 3) (pow (* (- x y) (+ x y)) 3) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (* (- x y) (+ x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (- (* (+ x y) (- (* x x) (* y y)))) (- (+ x y)) (/ (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (- (* x x) (* y y)) (cbrt (+ x y))) (/ (+ x y) (sqrt (+ x y))) (/ (- (* x x) (* y y)) (sqrt (+ x y))) (+ x y) (* 1 (- x y)) (+ x y) (* 1 (- x y)) (/ 1 (+ x y)) (/ 1 (* (- x y) (+ x y))) (/ (* (+ x y) (- (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (+ x y) (- (* x x) (* y y))) (sqrt (+ x y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (/ 1 (- x y)) (/ (* (+ x y) (- (* x x) (* y y))) (+ (pow x 3) (pow y 3))) (+ x y) (* (* (+ x y) (fma x x (* y (- y x)))) (fma (* y y) (fma x x (* y y)) (pow x 4))) (* (* (+ x y) (fma x x (* y (- y x)))) (fma x x (* y y))) (* (* (- x y) (+ x y)) (fma (* y y) (fma x x (* y y)) (pow x 4))) (- (pow x 4) (pow y 4)) (* (+ x y) (fma (* y y) (fma x x (* y y)) (pow x 4))) (* (+ x y) (fma x x (* y y))) (* (+ x y) (fma x x (* y (- y x)))) (* (- x y) (+ x y)) (expm1 (* (+ x y) (- (* x x) (* y y)))) (log1p (* (+ x y) (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y))) (log (* (+ x y) (- (* x x) (* y y)))) (log (* (+ x y) (- (* x x) (* y y)))) (exp (* (+ x y) (- (* x x) (* y y)))) (pow (* (+ x y) (- (* x x) (* y y))) 3) (* (cbrt (* (+ x y) (- (* x x) (* y y)))) (cbrt (* (+ x y) (- (* x x) (* y y))))) (cbrt (* (+ x y) (- (* x x) (* y y)))) (pow (* (+ x y) (- (* x x) (* y y))) 3) (sqrt (* (+ x y) (- (* x x) (* y y)))) (sqrt (* (+ x y) (- (* x x) (* y y)))) (* (- (pow x 6) (pow y 6)) (+ (pow x 3) (pow y 3))) (* (fma x x (* y (- y x))) (fma (* y y) (fma x x (* y y)) (pow x 4))) (* (- (pow x 4) (pow y 4)) (+ (pow x 3) (pow y 3))) (* (fma x x (* y (- y x))) (fma x x (* y y))) (* (* (- x y) (+ x y)) (- (pow x 6) (pow y 6))) (* (- x y) (fma (* y y) (fma x x (* y y)) (pow x 4))) (* (- (pow x 4) (pow y 4)) (* (- x y) (+ x y))) (* (- x y) (fma x x (* y y))) (* (sqrt (+ x y)) (sqrt (- (* x x) (* y y)))) (* (sqrt (+ x y)) (sqrt (- (* x x) (* y y)))) (* (+ x y) (- (* x x) (* y y))) (* (* y (+ (- y) y)) (+ x y)) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (* y (+ (- y) y)) (+ x y)) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (+ x y) (* x x)) (* (+ x y) (- (* y y))) (* (+ x y) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y))))) (* (+ x y) (sqrt (- (* x x) (* y y)))) (+ x y) (* (+ x y) (+ x y)) (* (cbrt (+ x y)) (- (* x x) (* y y))) (* (sqrt (+ x y)) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (- (pow x 6) (pow y 6))) (* (- (pow x 4) (pow y 4)) (+ x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ x y)) (* y (+ (- y) y)) (expm1 (* (- x y) (+ x y))) (log1p (* (- x y) (+ x y))) (- (* y y)) (pow (exp (+ x y)) (- x y)) (log (- (* x x) (* y y))) (pow (exp (+ x y)) (- x y)) (* (cbrt (- (* x x) (* y y))) (cbrt (- (* x x) (* y y)))) (cbrt (- (* x x) (* y y))) (pow (* (- x y) (+ x y)) 3) (sqrt (* (+ x y) (- x y))) (sqrt (* (+ x y) (- x y))) (- (pow x 6) (pow y 6)) (fma (* y y) (fma x x (* y y)) (pow x 4)) (- (* y y)) (- (pow x 4) (pow y 4)) (fma x x (* y y)) (+ x y) (- x y) (- (* y y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* x (- (* (+ x y) x) (* y y))) (fma (* x x) y (* (- (* y y)) (+ x y))) (fma (* x x) y (* (- (* y y)) (+ x y))) (* (- x y) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ x y)) 3.503 * * * [progress]: adding candidates to table 3.678 * [progress]: [Phase 3 of 3] Extracting. 3.678 * * [regime]: Finding splitpoints for: (# #) 3.678 * * * [regime-changes]: Trying 3 branch expressions: ((* (+ x y) (- x y)) y x) 3.678 * * * * [regimes]: Trying to branch on (* (+ x y) (- x y)) from (# #) 3.688 * * * * [regimes]: Trying to branch on y from (# #) 3.700 * * * * [regimes]: Trying to branch on x from (# #) 3.710 * * * [regime]: Found split indices: #