36.997 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.222 * * * [progress]: [2/2] Setting up program. 0.227 * [progress]: [Phase 2 of 3] Improving. 0.227 * [simplify]: Simplifying using # : (sqrt (+ (* x x) y)) 0.230 * * [simplify]: iteration 0 : 6 enodes (cost 3 ) 0.232 * * [simplify]: iteration 1 : 6 enodes (cost 3 ) 0.232 * [simplify]: Simplified to: (sqrt (+ (* x x) y)) 0.232 * * [progress]: iteration 1 / 4 0.232 * * * [progress]: picking best candidate 0.236 * * * * [pick]: Picked # 0.237 * * * [progress]: localizing error 0.244 * * * [progress]: generating rewritten candidates 0.244 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.250 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.257 * * * [progress]: generating series expansions 0.257 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.257 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in y 0.257 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) y)) in x 0.258 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of 1/2 in y 0.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.260 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in y 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 y))) in x 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 1 in y 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.261 * [taylor]: Taking taylor expansion of 1/2 in y 0.261 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of -1/8 in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in y 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) (/ 1 y))) in x 0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of 1 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [taylor]: Taking taylor expansion of (/ -1/2 y) in y 0.265 * [taylor]: Taking taylor expansion of -1/2 in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of -1/8 in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.266 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [taylor]: Taking taylor expansion of 1 in y 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.268 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.271 * [taylor]: Taking taylor expansion of 1 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.272 * * * [progress]: simplifying candidates 0.273 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x 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 (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt 1) (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) (/ 1 2) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) 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))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (* (pow NAN 3) (pow y 2)) (+ (* NAN y) (* 1/2 (* (pow x 2) NAN)))) (+ x (* 1/2 (/ y x))) (neg (+ x (* 1/2 (/ y x)))) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.277 * * [simplify]: iteration 0 : 139 enodes (cost 151 ) 0.281 * * [simplify]: iteration 1 : 485 enodes (cost 141 ) 0.288 * * [simplify]: iteration 2 : 1555 enodes (cost 139 ) 0.320 * * [simplify]: iteration 3 : 5002 enodes (cost 138 ) 0.321 * [simplify]: Simplified to: (log (sqrt (+ (* x x) y))) (exp (sqrt (+ (* x x) y))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (cbrt (sqrt (+ (* x x) y))) (pow (sqrt (+ (* x x) y)) 3) (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))) 1 (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y)) 1/2 (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) 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 (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (- (+ (pow x 4) (pow y 2)) (* (* x x) y)) (- (pow x 4) (pow y 2)) (- (* x x) y) (* NAN (+ (* (* NAN NAN) (pow y 2)) (+ (* 1/2 (pow x 2)) y))) (+ x (* 1/2 (/ y x))) (- (* -1/2 (/ y x)) x) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.321 * * * [progress]: adding candidates to table 0.357 * * [progress]: iteration 2 / 4 0.357 * * * [progress]: picking best candidate 0.362 * * * * [pick]: Picked # 0.362 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.372 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.376 * * * [progress]: generating series expansions 0.376 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.376 * [approximate]: Taking taylor expansion of (* 1/2 (/ y x)) in (y x) around 0 0.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.376 * [taylor]: Taking taylor expansion of 1/2 in x 0.376 * [taylor]: Taking taylor expansion of (/ y x) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.376 * [taylor]: Taking taylor expansion of 1/2 in y 0.376 * [taylor]: Taking taylor expansion of (/ y x) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.376 * [taylor]: Taking taylor expansion of 1/2 in y 0.376 * [taylor]: Taking taylor expansion of (/ y x) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of x in y 0.376 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 0.376 * [taylor]: Taking taylor expansion of 1/2 in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [taylor]: Taking taylor expansion of 0 in x 0.377 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.377 * [taylor]: Taking taylor expansion of 1/2 in x 0.377 * [taylor]: Taking taylor expansion of (/ x y) in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.377 * [taylor]: Taking taylor expansion of 1/2 in y 0.377 * [taylor]: Taking taylor expansion of (/ x y) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.377 * [taylor]: Taking taylor expansion of 1/2 in y 0.377 * [taylor]: Taking taylor expansion of (/ x y) in y 0.377 * [taylor]: Taking taylor expansion of x in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.377 * [taylor]: Taking taylor expansion of 1/2 in x 0.377 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of 0 in x 0.378 * [taylor]: Taking taylor expansion of 0 in x 0.378 * [taylor]: Taking taylor expansion of 0 in x 0.378 * [approximate]: Taking taylor expansion of (* 1/2 (/ x y)) in (y x) around 0 0.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.378 * [taylor]: Taking taylor expansion of 1/2 in x 0.378 * [taylor]: Taking taylor expansion of (/ x y) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of y in x 0.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.378 * [taylor]: Taking taylor expansion of 1/2 in y 0.378 * [taylor]: Taking taylor expansion of (/ x y) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.378 * [taylor]: Taking taylor expansion of 1/2 in y 0.378 * [taylor]: Taking taylor expansion of (/ x y) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.378 * [taylor]: Taking taylor expansion of 1/2 in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.378 * [taylor]: Taking taylor expansion of 0 in x 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.379 * [taylor]: Taking taylor expansion of 0 in x 0.379 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.379 * [approximate]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.379 * [taylor]: Taking taylor expansion of 1/2 in y 0.379 * [taylor]: Taking taylor expansion of (/ y x) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.379 * [taylor]: Taking taylor expansion of (/ y x) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.379 * [taylor]: Taking taylor expansion of 1/2 in x 0.379 * [taylor]: Taking taylor expansion of (/ y x) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.379 * [taylor]: Taking taylor expansion of 1/2 in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of 1 in y 0.380 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [approximate]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.380 * [taylor]: Taking taylor expansion of 1/2 in y 0.380 * [taylor]: Taking taylor expansion of (/ x y) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.380 * [taylor]: Taking taylor expansion of 1/2 in x 0.380 * [taylor]: Taking taylor expansion of (/ x y) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.381 * [taylor]: Taking taylor expansion of 1/2 in x 0.381 * [taylor]: Taking taylor expansion of (/ x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 1 in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.381 * [taylor]: Taking taylor expansion of 1/2 in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in y 0.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.382 * [taylor]: Taking taylor expansion of 1/2 in y 0.382 * [taylor]: Taking taylor expansion of (/ x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.382 * [taylor]: Taking taylor expansion of 1/2 in x 0.382 * [taylor]: Taking taylor expansion of (/ x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x y)) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.382 * [taylor]: Taking taylor expansion of 1/2 in x 0.382 * [taylor]: Taking taylor expansion of (/ x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (neg 1) in y 0.382 * [taylor]: Taking taylor expansion of 1 in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.382 * [taylor]: Taking taylor expansion of 1/2 in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.383 * * * [progress]: simplifying candidates 0.384 * [simplify]: Simplifying using # : (* 1/2 (/ y x)) (+ (log 1/2) (- (log y) (log x))) (+ (log 1/2) (log (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (* (* (* 1/2 1/2) 1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* 1/2 1/2) 1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (* (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* 1/2 (/ (sqrt y) 1)) (* 1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* 1/2 (/ 1 (sqrt x))) (* 1/2 (/ 1 1)) (* 1/2 1) (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (* (exp x) (exp (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (* (* (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x)))) (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* x x) (- (* (* 1/2 (/ y x)) (* 1/2 (/ y x))) (* x (* 1/2 (/ y x))))) (- (* x x) (* (* 1/2 (/ y x)) (* 1/2 (/ y x)))) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.387 * * [simplify]: iteration 0 : 223 enodes (cost 199 ) 0.392 * * [simplify]: iteration 1 : 960 enodes (cost 186 ) 0.410 * * [simplify]: iteration 2 : 4224 enodes (cost 186 ) 0.478 * * [simplify]: iteration 3 : 5001 enodes (cost 186 ) 0.479 * [simplify]: Simplified to: (* 1/2 (/ y x)) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (log (* 1/2 (/ y x))) (exp (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (pow (* 1/2 (/ y x)) 3) (* (cbrt (* 1/2 (/ y x))) (cbrt (* 1/2 (/ y x)))) (cbrt (* 1/2 (/ y x))) (pow (* 1/2 (/ y x)) 3) (sqrt (* 1/2 (/ y x))) (sqrt (* 1/2 (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (sqrt (/ y x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* (sqrt 1/2) (/ (sqrt y) (sqrt x))) (* 1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* 1/2 (sqrt (/ y x))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) 1/2) (* 1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* 1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) 1/2) (/ 1/2 (* (cbrt x) (cbrt x))) (/ 1/2 (sqrt x)) 1/2 1/2 (* 1/2 y) (* (cbrt 1/2) (/ y x)) (* (sqrt 1/2) (/ y x)) (* 1/2 (/ y x)) (* 1/2 y) (exp (+ x (* 1/2 (/ y x)))) (log (+ x (* 1/2 (/ y x)))) (exp (+ x (* 1/2 (/ y x)))) (* (cbrt (+ x (* 1/2 (/ y x)))) (cbrt (+ x (* 1/2 (/ y x))))) (cbrt (+ x (* 1/2 (/ y x)))) (pow (+ x (* 1/2 (/ y x))) 3) (sqrt (+ x (* 1/2 (/ y x)))) (sqrt (+ x (* 1/2 (/ y x)))) (+ (pow x 3) (pow (* 1/2 (/ y x)) 3)) (+ (* (* 1/2 (/ y x)) (- (* 1/2 (/ y x)) x)) (* x x)) (+ (* -1/4 (* (/ y x) (/ y x))) (* x x)) (- x (* 1/2 (/ y x))) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (* 1/2 (/ y x)) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) (+ x (* 1/2 (/ y x))) 0.480 * * * [progress]: adding candidates to table 0.523 * * [progress]: iteration 3 / 4 0.523 * * * [progress]: picking best candidate 0.525 * * * * [pick]: Picked # 0.525 * * * [progress]: localizing error 0.530 * * * [progress]: generating rewritten candidates 0.530 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.536 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.542 * * * [progress]: generating series expansions 0.542 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.542 * [approximate]: Taking taylor expansion of (* -1/2 (/ y x)) in (y x) around 0 0.542 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in x 0.542 * [taylor]: Taking taylor expansion of -1/2 in x 0.542 * [taylor]: Taking taylor expansion of (/ y x) in x 0.542 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.542 * [taylor]: Taking taylor expansion of -1/2 in y 0.542 * [taylor]: Taking taylor expansion of (/ y x) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [taylor]: Taking taylor expansion of (* -1/2 (/ y x)) in y 0.542 * [taylor]: Taking taylor expansion of -1/2 in y 0.542 * [taylor]: Taking taylor expansion of (/ y x) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 0.543 * [taylor]: Taking taylor expansion of -1/2 in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of 0 in x 0.543 * [taylor]: Taking taylor expansion of 0 in x 0.543 * [taylor]: Taking taylor expansion of 0 in x 0.543 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.543 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.543 * [taylor]: Taking taylor expansion of -1/2 in x 0.543 * [taylor]: Taking taylor expansion of (/ x y) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of y in x 0.543 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.543 * [taylor]: Taking taylor expansion of -1/2 in y 0.543 * [taylor]: Taking taylor expansion of (/ x y) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.543 * [taylor]: Taking taylor expansion of -1/2 in y 0.543 * [taylor]: Taking taylor expansion of (/ x y) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.544 * [taylor]: Taking taylor expansion of -1/2 in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of 0 in x 0.544 * [taylor]: Taking taylor expansion of 0 in x 0.544 * [taylor]: Taking taylor expansion of 0 in x 0.544 * [approximate]: Taking taylor expansion of (* -1/2 (/ x y)) in (y x) around 0 0.544 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in x 0.544 * [taylor]: Taking taylor expansion of -1/2 in x 0.544 * [taylor]: Taking taylor expansion of (/ x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.544 * [taylor]: Taking taylor expansion of -1/2 in y 0.544 * [taylor]: Taking taylor expansion of (/ x y) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (* -1/2 (/ x y)) in y 0.544 * [taylor]: Taking taylor expansion of -1/2 in y 0.544 * [taylor]: Taking taylor expansion of (/ x y) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (* -1/2 x) in x 0.545 * [taylor]: Taking taylor expansion of -1/2 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of 0 in x 0.545 * [taylor]: Taking taylor expansion of 0 in x 0.545 * [taylor]: Taking taylor expansion of 0 in x 0.545 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.545 * [approximate]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in (y x) around 0 0.545 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in x 0.545 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 0.545 * [taylor]: Taking taylor expansion of 1/2 in x 0.545 * [taylor]: Taking taylor expansion of (/ y x) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.545 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.545 * [taylor]: Taking taylor expansion of 1/2 in y 0.545 * [taylor]: Taking taylor expansion of (/ y x) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (neg (+ x (* 1/2 (/ y x)))) in y 0.545 * [taylor]: Taking taylor expansion of (+ x (* 1/2 (/ y x))) in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 0.546 * [taylor]: Taking taylor expansion of 1/2 in y 0.546 * [taylor]: Taking taylor expansion of (/ y x) in y 0.546 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of x in y 0.546 * [taylor]: Taking taylor expansion of (neg x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of 1/2 in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.547 * [approximate]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in (y x) around 0 0.547 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.547 * [taylor]: Taking taylor expansion of 1/2 in x 0.547 * [taylor]: Taking taylor expansion of (/ x y) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.547 * [taylor]: Taking taylor expansion of 1/2 in y 0.547 * [taylor]: Taking taylor expansion of (/ x y) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ x y)) (/ 1 x))) in y 0.547 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x y)) (/ 1 x)) in y 0.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.547 * [taylor]: Taking taylor expansion of 1/2 in y 0.547 * [taylor]: Taking taylor expansion of (/ x y) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of y in y 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.547 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.547 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.547 * [taylor]: Taking taylor expansion of 1/2 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (neg (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.548 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [approximate]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in (y x) around 0 0.549 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 0.549 * [taylor]: Taking taylor expansion of 1/2 in x 0.549 * [taylor]: Taking taylor expansion of (/ x y) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.549 * [taylor]: Taking taylor expansion of 1/2 in y 0.549 * [taylor]: Taking taylor expansion of (/ x y) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (- (/ 1 x) (* 1/2 (/ x y))) in y 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 0.549 * [taylor]: Taking taylor expansion of 1/2 in y 0.549 * [taylor]: Taking taylor expansion of (/ x y) in y 0.549 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of (neg (* 1/2 x)) in x 0.549 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 0.549 * [taylor]: Taking taylor expansion of 1/2 in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of 0 in x 0.550 * [taylor]: Taking taylor expansion of 0 in x 0.550 * [taylor]: Taking taylor expansion of 0 in x 0.550 * * * [progress]: simplifying candidates 0.551 * [simplify]: Simplifying using # : (* -1/2 (/ y x)) (+ (log -1/2) (- (log y) (log x))) (+ (log -1/2) (log (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (* (* (* -1/2 -1/2) -1/2) (/ (* (* y y) y) (* (* x x) x))) (* (* (* -1/2 -1/2) -1/2) (* (* (/ y x) (/ y x)) (/ y x))) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (* (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) 1)) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* -1/2 (/ (sqrt y) 1)) (* -1/2 (/ 1 (* (cbrt x) (cbrt x)))) (* -1/2 (/ 1 (sqrt x))) (* -1/2 (/ 1 1)) (* -1/2 1) (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (/ (exp (* -1/2 (/ y x))) (exp x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (* (* (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x)) (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (pow (* -1/2 (/ y x)) 3) (pow x 3)) (+ (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (+ (* x x) (* (* -1/2 (/ y x)) x))) (neg x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (neg x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) (neg (+ x (* 1/2 (/ y x)))) 0.555 * * [simplify]: iteration 0 : 219 enodes (cost 205 ) 0.559 * * [simplify]: iteration 1 : 893 enodes (cost 190 ) 0.578 * * [simplify]: iteration 2 : 4202 enodes (cost 189 ) 0.642 * * [simplify]: iteration 3 : 5001 enodes (cost 189 ) 0.643 * [simplify]: Simplified to: (* -1/2 (/ y x)) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (log (* -1/2 (/ y x))) (exp (* -1/2 (/ y x))) (pow (* -1/2 (/ y x)) 3) (pow (* -1/2 (/ y x)) 3) (* (cbrt (* -1/2 (/ y x))) (cbrt (* -1/2 (/ y x)))) (cbrt (* -1/2 (/ y x))) (pow (* -1/2 (/ y x)) 3) (sqrt (* -1/2 (/ y x))) (sqrt (* -1/2 (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (sqrt (/ y x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* (sqrt -1/2) (/ (sqrt y) (sqrt x))) (* -1/2 (* (cbrt (/ y x)) (cbrt (/ y x)))) (* -1/2 (sqrt (/ y x))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (* (cbrt y) (cbrt y)) (sqrt x))) (* (* (cbrt y) (cbrt y)) -1/2) (* -1/2 (/ (sqrt y) (* (cbrt x) (cbrt x)))) (* -1/2 (/ (sqrt y) (sqrt x))) (* (sqrt y) -1/2) (/ -1/2 (* (cbrt x) (cbrt x))) (/ -1/2 (sqrt x)) -1/2 -1/2 (* -1/2 y) (* (cbrt -1/2) (/ y x)) (* (sqrt -1/2) (/ y x)) (* -1/2 (/ y x)) (* -1/2 y) (exp (- (* -1/2 (/ y x)) x)) (log (- (* -1/2 (/ y x)) x)) (exp (- (* -1/2 (/ y x)) x)) (* (cbrt (- (* -1/2 (/ y x)) x)) (cbrt (- (* -1/2 (/ y x)) x))) (cbrt (- (* -1/2 (/ y x)) x)) (pow (- (* -1/2 (/ y x)) x) 3) (sqrt (- (* -1/2 (/ y x)) x)) (sqrt (- (* -1/2 (/ y x)) x)) (- (pow (* -1/2 (/ y x)) 3) (pow x 3)) (+ (* (* -1/2 (/ y x)) (+ (* -1/2 (/ y x)) x)) (* x x)) (neg x) (- (* (* -1/2 (/ y x)) (* -1/2 (/ y x))) (* x x)) (+ (* -1/2 (/ y x)) x) (neg x) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (* -1/2 (/ y x)) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) (- (* -1/2 (/ y x)) x) 0.644 * * * [progress]: adding candidates to table 0.687 * [progress]: [Phase 3 of 3] Extracting. 0.687 * * [regime]: Finding splitpoints for: (# # #) 0.687 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (+ (* x x) y) (sqrt (+ (* x x) y)) y x) 0.687 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 0.723 * * * * [regimes]: Trying to branch on (+ (* x x) y) from (# # #) 0.759 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) y)) from (# # #) 0.799 * * * * [regimes]: Trying to branch on y from (# # #) 0.851 * * * * [regimes]: Trying to branch on x from (# # #) 0.894 * * * [regime]: Found split indices: #