6.904 * [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 # : (* 2.0 (- (* x x) (* x y))) 0.020 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.022 * * [simplify]: iteration 1 : 33 enodes (cost 3 ) 0.024 * * [simplify]: iteration 2 : 73 enodes (cost 3 ) 0.026 * * [simplify]: iteration 3 : 112 enodes (cost 3 ) 0.028 * * [simplify]: iteration 4 : 129 enodes (cost 3 ) 0.030 * * [simplify]: iteration 5 : 131 enodes (cost 3 ) 0.032 * * [simplify]: iteration 6 : 131 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (* (* x (- x y)) 2.0) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.055 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.055 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.055 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (- x y) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (- x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (- x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [taylor]: Taking taylor expansion of (- y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 1 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [taylor]: Taking taylor expansion of 0 in y 0.061 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in y 0.078 * [taylor]: Taking taylor expansion of -1 in y 0.078 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in y 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.078 * [taylor]: Taking taylor expansion of -1 in x 0.078 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.078 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.078 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) x)) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.080 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) x) in x 0.080 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * * * [progress]: simplifying candidates 0.094 * [simplify]: Simplifying using # : (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 (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma (sqrt x) (sqrt x) (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* x (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (* x (fma 1 x (- (* (sqrt y) (sqrt y))))) (* x (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* x (fma 1 x (- (* y 1)))) (* x (fma (- y) 1 (* y 1))) (* x x) (* x (- y)) (* x x) (* x (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma (sqrt x) (sqrt x) (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) x) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) x) (* (fma 1 x (- (* y 1))) x) (* (fma (- y) 1 (* y 1)) x) (* x x) (* (- y) x) (* x x) (* (- y) x) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) (* x 1) (* x (+ (sqrt x) (sqrt y))) (* 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) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.099 * * [simplify]: iteration 0 : 186 enodes (cost 350 ) 0.103 * * [simplify]: iteration 1 : 761 enodes (cost 220 ) 0.122 * * [simplify]: iteration 2 : 4223 enodes (cost 190 ) 0.213 * * [simplify]: iteration 3 : 5001 enodes (cost 190 ) 0.214 * [simplify]: Simplified to: (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))) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (- (* x (* 1 (pow (cbrt x) 3))) (* x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (* x (- x y)) (* x (- y y)) (pow x 2) (* x (- y)) (pow x 2) (* x (- y)) (* x (* (cbrt (- x y)) (cbrt (- x y)))) (* x (sqrt (- x y))) x (* x (+ (sqrt x) (sqrt y))) x (* (cbrt x) (- x y)) (* (sqrt x) (- x y)) (* x (- x y)) (* x (- (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.215 * * * [progress]: adding candidates to table 0.264 * * [progress]: iteration 2 / 4 0.264 * * * [progress]: picking best candidate 0.267 * * * * [pick]: Picked # 0.267 * * * [progress]: localizing error 0.273 * * * [progress]: generating rewritten candidates 0.273 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.276 * * * [progress]: generating series expansions 0.276 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.277 * [approximate]: Taking taylor expansion of (- (pow x 2) (* x y)) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) in y 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (* x y) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) 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 (* x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (- (pow x 2) (* x y)) 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 (* x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of (- y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [taylor]: Taking taylor expansion of 0 in y 0.284 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.284 * [taylor]: Taking taylor expansion of (* x y) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.285 * [taylor]: Taking taylor expansion of (* x y) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.286 * [taylor]: Taking taylor expansion of (* x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x 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 (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.298 * [taylor]: Taking taylor expansion of (* x y) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.299 * [taylor]: Taking taylor expansion of (* x y) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of 1 in y 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.309 * * * [progress]: simplifying candidates 0.310 * [simplify]: Simplifying using # : (fma x x (- (* y x))) (fma (- y) x (* y x)) (expm1 (- (* x x) (* x y))) (log1p (- (* x x) (* x y))) (- (* x y)) (/ (exp (* x x)) (exp (* x y))) (log (- (* x x) (* x y))) (exp (- (* x x) (* x y))) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (* (* (- (* x x) (* x y)) (- (* x x) (* x y))) (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (+ (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* x y)) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (+ (* x x) (* x y)) (- x y) (- (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) 0.313 * * [simplify]: iteration 0 : 102 enodes (cost 91 ) 0.316 * * [simplify]: iteration 1 : 403 enodes (cost 79 ) 0.325 * * [simplify]: iteration 2 : 1596 enodes (cost 77 ) 0.359 * * [simplify]: iteration 3 : 5001 enodes (cost 74 ) 0.360 * [simplify]: Simplified to: (* x (- x y)) 0 (expm1 (- (* x x) (* x y))) (log1p (- (* x x) (* x y))) (- (* x y)) (pow (exp x) (- x y)) (log (- (* x x) (* x y))) (pow (exp x) (- x y)) (* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y)))) (cbrt (- (* x x) (* x y))) (pow (* x (- x y)) 3) (sqrt (- (* x x) (* x y))) (sqrt (- (* x x) (* x y))) (- (pow (* x x) 3) (pow (* x y) 3)) (fma (* x (* x y)) (+ x y) (pow x 4)) (- (* x y)) (* (pow x 2) (- (pow x 2) (* y y))) (fma x x (* x y)) (- x y) (- (* x y)) (* x (- x y)) (* x (- x y)) (* x (- x y)) 0.360 * * * [progress]: adding candidates to table 0.399 * * [progress]: iteration 3 / 4 0.399 * * * [progress]: picking best candidate 0.401 * * * * [pick]: Picked # 0.401 * * * [progress]: localizing error 0.408 * * * [progress]: generating rewritten candidates 0.408 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.434 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.453 * * * [progress]: generating series expansions 0.453 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.453 * [approximate]: Taking taylor expansion of (* x (- x y)) in (x y) around 0 0.453 * [taylor]: Taking taylor expansion of (* x (- x y)) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of (- x y) in y 0.453 * [taylor]: Taking taylor expansion of x in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.453 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of (- x y) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [taylor]: Taking taylor expansion of (* x (- x y)) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of (- x y) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of 0 in y 0.455 * [taylor]: Taking taylor expansion of (- y) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of 1 in y 0.458 * [taylor]: Taking taylor expansion of 0 in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in (x y) around 0 0.460 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in y 0.460 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.461 * [taylor]: Taking taylor expansion of y in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) x) in x 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1 in y 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [approximate]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (sqrt (/ -1 x)) 2)) in (x y) around 0 0.472 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (sqrt (/ -1 x)) 2)) in y 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in y 0.473 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.473 * [taylor]: Taking taylor expansion of -1 in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (sqrt (/ -1 x)) 2)) in x 0.473 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (pow (sqrt (/ -1 x)) 2)) in x 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.475 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.476 * [taylor]: Taking taylor expansion of -1 in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of +nan.0 in y 0.482 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.482 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.482 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.482 * [taylor]: Taking taylor expansion of +nan.0 in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.482 * [taylor]: Taking taylor expansion of +nan.0 in y 0.490 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.490 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.490 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.490 * [taylor]: Taking taylor expansion of +nan.0 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.490 * [taylor]: Taking taylor expansion of +nan.0 in y 0.492 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.492 * [approximate]: Taking taylor expansion of (* (sqrt x) (- x y)) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (* (sqrt x) (- x y)) in y 0.492 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (- x y) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (* (sqrt x) (- x y)) in x 0.492 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (- x y) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of (* (sqrt x) (- x y)) in x 0.494 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (- x y) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of y in x 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of (- (* +nan.0 y)) in y 0.496 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.496 * [taylor]: Taking taylor expansion of +nan.0 in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 y) (- +nan.0))) in y 0.499 * [taylor]: Taking taylor expansion of (+ (* +nan.0 y) (- +nan.0)) in y 0.499 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.499 * [taylor]: Taking taylor expansion of +nan.0 in y 0.499 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.499 * [taylor]: Taking taylor expansion of +nan.0 in y 0.506 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 y) (- +nan.0))) in y 0.506 * [taylor]: Taking taylor expansion of (+ (* +nan.0 y) (- +nan.0)) in y 0.506 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 0.506 * [taylor]: Taking taylor expansion of +nan.0 in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.510 * [taylor]: Taking taylor expansion of +nan.0 in y 0.513 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 x))) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 x))) in y 0.513 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.514 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 x))) in x 0.514 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.518 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.518 * [taylor]: Taking taylor expansion of +nan.0 in y 0.522 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.522 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.522 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.522 * [taylor]: Taking taylor expansion of +nan.0 in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.522 * [taylor]: Taking taylor expansion of +nan.0 in y 0.528 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.528 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.528 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.529 * [taylor]: Taking taylor expansion of +nan.0 in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.529 * [taylor]: Taking taylor expansion of +nan.0 in y 0.531 * [approximate]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (sqrt (/ -1 x))) in (x y) around 0 0.531 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (sqrt (/ -1 x))) in y 0.531 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.531 * [taylor]: Taking taylor expansion of x in y 0.532 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.532 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.532 * [taylor]: Taking taylor expansion of -1 in y 0.532 * [taylor]: Taking taylor expansion of x in y 0.532 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (sqrt (/ -1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.532 * [taylor]: Taking taylor expansion of -1 in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (* (- (/ 1 y) (/ 1 x)) (sqrt (/ -1 x))) in x 0.533 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.533 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.534 * [taylor]: Taking taylor expansion of -1 in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.537 * [taylor]: Taking taylor expansion of +nan.0 in y 0.541 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.541 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.541 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.541 * [taylor]: Taking taylor expansion of +nan.0 in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.541 * [taylor]: Taking taylor expansion of +nan.0 in y 0.547 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.547 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.548 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.548 * [taylor]: Taking taylor expansion of +nan.0 in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.548 * [taylor]: Taking taylor expansion of +nan.0 in y 0.550 * * * [progress]: simplifying candidates 0.552 * [simplify]: Simplifying using # : (expm1 (* (sqrt x) (* (sqrt x) (- x y)))) (log1p (* (sqrt x) (* (sqrt x) (- x y)))) (* (sqrt x) (* (sqrt x) (- x y))) (* (sqrt x) (* (sqrt x) (- x y))) (+ (log (sqrt x)) (+ (log (sqrt x)) (log (- x y)))) (+ (log (sqrt x)) (log (* (sqrt x) (- x y)))) (log (* (sqrt x) (* (sqrt x) (- x y)))) (exp (* (sqrt x) (* (sqrt x) (- x y)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (* (sqrt x) (- x y)) (* (sqrt x) (- x y))) (* (sqrt x) (- x y)))) (* (cbrt (* (sqrt x) (* (sqrt x) (- x y)))) (cbrt (* (sqrt x) (* (sqrt x) (- x y))))) (cbrt (* (sqrt x) (* (sqrt x) (- x y)))) (* (* (* (sqrt x) (* (sqrt x) (- x y))) (* (sqrt x) (* (sqrt x) (- x y)))) (* (sqrt x) (* (sqrt x) (- x y)))) (sqrt (* (sqrt x) (* (sqrt x) (- x y)))) (sqrt (* (sqrt x) (* (sqrt x) (- x y)))) (* (sqrt x) (* (sqrt x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))))) (* (sqrt x) (* (sqrt x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (sqrt x) (* (sqrt x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))))) (* (sqrt x) (* (sqrt x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))))) (* (sqrt x) (* (sqrt x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))))) (* (sqrt x) (* (sqrt x) (fma (- y) 1 (* y 1)))) (* (sqrt x) (* (sqrt x) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))))) (* (sqrt x) (* (sqrt x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (sqrt x) (* (sqrt x) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))))) (* (sqrt x) (* (sqrt x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))))) (* (sqrt x) (* (sqrt x) (fma (sqrt x) (sqrt x) (- (* y 1))))) (* (sqrt x) (* (sqrt x) (fma (- y) 1 (* y 1)))) (* (sqrt x) (* (sqrt x) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))))) (* (sqrt x) (* (sqrt x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))))) (* (sqrt x) (* (sqrt x) (fma 1 x (- (* (sqrt y) (sqrt y)))))) (* (sqrt x) (* (sqrt x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))))) (* (sqrt x) (* (sqrt x) (fma 1 x (- (* y 1))))) (* (sqrt x) (* (sqrt x) (fma (- y) 1 (* y 1)))) (* (sqrt x) (* (sqrt x) x)) (* (sqrt x) (* (sqrt x) (- y))) (* (sqrt x) (* (sqrt x) x)) (* (sqrt x) (* (sqrt x) (- y))) (* (sqrt x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x))) (* (sqrt x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x))) (* (sqrt x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (sqrt x))) (* (sqrt x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x))) (* (sqrt x) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (sqrt x))) (* (sqrt x) (* (fma (- y) 1 (* y 1)) (sqrt x))) (* (sqrt x) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x))) (* (sqrt x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x))) (* (sqrt x) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (sqrt x))) (* (sqrt x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x))) (* (sqrt x) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (sqrt x))) (* (sqrt x) (* (fma (- y) 1 (* y 1)) (sqrt x))) (* (sqrt x) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x))) (* (sqrt x) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x))) (* (sqrt x) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (sqrt x))) (* (sqrt x) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x))) (* (sqrt x) (* (fma 1 x (- (* y 1))) (sqrt x))) (* (sqrt x) (* (fma (- y) 1 (* y 1)) (sqrt x))) (* (sqrt x) (* x (sqrt x))) (* (sqrt x) (* (- y) (sqrt x))) (* (sqrt x) (* x (sqrt x))) (* (sqrt x) (* (- y) (sqrt x))) (* (* (sqrt x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (sqrt x)) (* (* (sqrt x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (* (* (sqrt x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y))))) (sqrt x)) (* (* (sqrt x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (sqrt x)) (* (* (sqrt x) (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1)))) (sqrt x)) (* (* (sqrt x) (fma (- y) 1 (* y 1))) (sqrt x)) (* (* (sqrt x) (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (sqrt x)) (* (* (sqrt x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (* (* (sqrt x) (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y))))) (sqrt x)) (* (* (sqrt x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (sqrt x)) (* (* (sqrt x) (fma (sqrt x) (sqrt x) (- (* y 1)))) (sqrt x)) (* (* (sqrt x) (fma (- y) 1 (* y 1))) (sqrt x)) (* (* (sqrt x) (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y)))))) (sqrt x)) (* (* (sqrt x) (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (* (* (sqrt x) (fma 1 x (- (* (sqrt y) (sqrt y))))) (sqrt x)) (* (* (sqrt x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (sqrt x)) (* (* (sqrt x) (fma 1 x (- (* y 1)))) (sqrt x)) (* (* (sqrt x) (fma (- y) 1 (* y 1))) (sqrt x)) (* (* (sqrt x) x) (sqrt x)) (* (* (sqrt x) (- y)) (sqrt x)) (* (* (sqrt x) x) (sqrt x)) (* (* (sqrt x) (- y)) (sqrt x)) (* (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (sqrt x)) (* (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x)) (sqrt x)) (* (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (sqrt x)) (sqrt x)) (* (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x)) (sqrt x)) (* (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (sqrt x)) (sqrt x)) (* (* (fma (- y) 1 (* y 1)) (sqrt x)) (sqrt x)) (* (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (sqrt x)) (* (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x)) (sqrt x)) (* (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (sqrt x)) (sqrt x)) (* (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x)) (sqrt x)) (* (* (fma (sqrt x) (sqrt x) (- (* y 1))) (sqrt x)) (sqrt x)) (* (* (fma (- y) 1 (* y 1)) (sqrt x)) (sqrt x)) (* (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (sqrt x)) (* (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x)) (sqrt x)) (* (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (sqrt x)) (sqrt x)) (* (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x)) (sqrt x)) (* (* (fma 1 x (- (* y 1))) (sqrt x)) (sqrt x)) (* (* (fma (- y) 1 (* y 1)) (sqrt x)) (sqrt x)) (* (* x (sqrt x)) (sqrt x)) (* (* (- y) (sqrt x)) (sqrt x)) (* (* x (sqrt x)) (sqrt x)) (* (* (- y) (sqrt x)) (sqrt x)) (* (sqrt x) (sqrt x)) (* (cbrt (sqrt x)) (* (sqrt x) (- x y))) (* (sqrt (cbrt x)) (* (sqrt x) (- x y))) (* (sqrt (sqrt x)) (* (sqrt x) (- x y))) (* (sqrt x) (* (sqrt x) (- x y))) (* (sqrt (sqrt x)) (* (sqrt x) (- x y))) (* (sqrt x) (* (sqrt x) (- x y))) (* (sqrt x) (* (sqrt x) (- (pow x 3) (pow y 3)))) (* (sqrt x) (* (sqrt x) (- (* x x) (* y y)))) (expm1 (* (sqrt x) (- x y))) (log1p (* (sqrt x) (- x y))) (* (sqrt x) (- x y)) (+ (log (sqrt x)) (log (- x y))) (log (* (sqrt x) (- x y))) (exp (* (sqrt x) (- x y))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (* (sqrt x) (- x y))) (cbrt (* (sqrt x) (- x y)))) (cbrt (* (sqrt x) (- x y))) (* (* (* (sqrt x) (- x y)) (* (sqrt x) (- x y))) (* (sqrt x) (- x y))) (sqrt (* (sqrt x) (- x y))) (sqrt (* (sqrt x) (- x y))) (* (sqrt (sqrt x)) (sqrt (- x y))) (* (sqrt (sqrt 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(cbrt y) (* (cbrt y) (cbrt y))))) (* (sqrt x) (fma 1 x (- (* (sqrt y) (sqrt y))))) (* (sqrt x) (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y)))) (* (sqrt x) (fma 1 x (- (* y 1)))) (* (sqrt x) (fma (- y) 1 (* y 1))) (* (sqrt x) x) (* (sqrt x) (- y)) (* (sqrt x) x) (* (sqrt x) (- y)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* (sqrt y) (sqrt y)))) (sqrt x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x)) (* (fma (* (cbrt x) (cbrt x)) (cbrt x) (- (* y 1))) (sqrt x)) (* (fma (- y) 1 (* y 1)) (sqrt x)) (* (fma (sqrt x) (sqrt x) (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x)) (* (fma (sqrt x) (sqrt x) (- (* (sqrt y) (sqrt y)))) (sqrt x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x)) (* (fma (sqrt x) (sqrt x) (- (* y 1))) (sqrt x)) (* (fma (- y) 1 (* y 1)) (sqrt x)) (* (fma 1 x (- (* (cbrt y) (* (cbrt y) (cbrt y))))) (sqrt x)) (* (fma (- (cbrt y)) (* (cbrt y) (cbrt y)) (* (cbrt y) (* (cbrt y) (cbrt y)))) (sqrt x)) (* (fma 1 x (- (* (sqrt y) (sqrt y)))) (sqrt x)) (* (fma (- (sqrt y)) (sqrt y) (* (sqrt y) (sqrt y))) (sqrt x)) (* (fma 1 x (- (* y 1))) (sqrt x)) (* (fma (- y) 1 (* y 1)) (sqrt x)) (* x (sqrt x)) (* (- y) (sqrt x)) (* x (sqrt x)) (* (- y) (sqrt x)) (* (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (* (sqrt x) (sqrt (- x y))) (* (sqrt x) 1) (* (sqrt x) (+ (sqrt x) (sqrt y))) (* (sqrt x) 1) (* (cbrt (sqrt x)) (- x y)) (* (sqrt (cbrt x)) (- x y)) (* (sqrt (sqrt x)) (- x y)) (* (sqrt x) (- x y)) (* (sqrt (sqrt x)) (- x y)) (* (sqrt x) (- x y)) (* (sqrt x) (- (pow x 3) (pow y 3))) (* (sqrt x) (- (* x x) (* y y))) (- (pow x 2) (* x y)) (- (pow x 2) (* x y)) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 (* x y))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ y x)) (- (* +nan.0 y)))))) 0.561 * * [simplify]: iteration 0 : 390 enodes (cost 1098 ) 0.569 * * [simplify]: iteration 1 : 1656 enodes (cost 752 ) 0.603 * * [simplify]: iteration 2 : 5002 enodes (cost 672 ) 0.607 * [simplify]: Simplified to: (expm1 (* (sqrt x) (* (sqrt x) (- x y)))) (log1p (* (sqrt x) (* (sqrt x) (- x y)))) (* x (- x y)) (* x (- x y)) (log (* x (- x y))) (log (* x (- x y))) (log (* x (- x y))) (pow (exp x) (- x y)) (pow (* x (- x y)) 3) (pow (* x (- x y)) 3) (* (cbrt (* (sqrt x) (* (sqrt x) (- x y)))) (cbrt (* (sqrt x) (* (sqrt x) (- x y))))) (cbrt (* (sqrt x) (* (sqrt x) (- x y)))) (pow (* x (- x y)) 3) (sqrt (* (sqrt x) (* (sqrt x) (- x y)))) (sqrt (* (sqrt x) (* (sqrt x) (- x y)))) (* x (+ (* 1 (pow (cbrt x) 3)) (- y))) (fma x (- y) (* x y)) (* x (+ (* 1 (pow (cbrt x) 3)) (- y))) (fma x (- y) (* x y)) (* x (+ (* 1 (pow (cbrt x) 3)) (- 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x) (fma (- y) 1 y)) (* (sqrt x) (+ (* 1 (pow (cbrt x) 3)) (- y))) (* (sqrt x) (fma (- y) 1 y)) (* (sqrt x) (+ (* 1 (pow (cbrt x) 3)) (- y))) (* (sqrt x) (fma (- y) 1 y)) (* (sqrt x) (- x y)) (* (sqrt x) (fma (- y) 1 y)) (* (sqrt x) (- x y)) (* (sqrt x) (fma (- y) 1 y)) (* (sqrt x) (- x y)) (* (sqrt x) (fma (- y) 1 y)) (* (sqrt x) (- x y)) (* (sqrt x) (fma (- y) 1 y)) (* (sqrt x) (- x y)) (* (sqrt x) (fma (- y) 1 y)) (* (sqrt x) (- x y)) (* (sqrt x) (fma (- y) 1 y)) (* (sqrt x) x) (* (sqrt x) (- y)) (* (sqrt x) x) (* (sqrt x) (- y)) (* (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (* (sqrt x) (sqrt (- x y))) (sqrt x) (fma (sqrt x) (sqrt y) x) (sqrt x) (* (cbrt (sqrt x)) (- x y)) (* (sqrt (cbrt x)) (- x y)) (* (sqrt (sqrt x)) (- x y)) (* (sqrt x) (- x y)) (* (sqrt (sqrt x)) (- x y)) (* (sqrt x) (- x y)) (* (sqrt x) (- (pow x 3) (pow y 3))) (* (sqrt x) (- (* x x) (* y y))) (* x (- x y)) (* x (- x y)) (fma (- x) +nan.0 (* +nan.0 (- (/ y x) y))) (fma (- (* x x)) +nan.0 (* +nan.0 (- (pow x 3) (* x y)))) (fma (- x) +nan.0 (* +nan.0 (- (/ y x) y))) (fma (- x) +nan.0 (* +nan.0 (- (/ y x) y))) 0.608 * * * [progress]: adding candidates to table 0.732 * [progress]: [Phase 3 of 3] Extracting. 0.732 * * [regime]: Finding splitpoints for: (# # #) 0.733 * * * [regime-changes]: Trying 4 branch expressions: ((- (* x x) (* x y)) (* 2.0 (- (* x x) (* x y))) y x) 0.733 * * * * [regimes]: Trying to branch on (- (* x x) (* x y)) from (# # #) 0.748 * * * * [regimes]: Trying to branch on (* 2.0 (- (* x x) (* x y))) from (# # #) 0.761 * * * * [regimes]: Trying to branch on y from (# # #) 0.775 * * * * [regimes]: Trying to branch on x from (# # #) 0.791 * * * [regime]: Found split indices: #