11.979 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.023 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.024 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.024 * [simplify]: Simplified to: (/ x (+ x y)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.041 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (+ x y) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.057 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.057 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.057 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.070 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.071 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.071 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.073 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.076 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.086 * * * [progress]: simplifying candidates 0.087 * [simplify]: Simplifying using # : (- (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))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ (sqrt x) 1) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (/ 1 1) (/ x (+ x y)) (/ 1 1) (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) (/ x 1) (/ x 1) (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.090 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.093 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.098 * * [simplify]: iteration 2 : 1024 enodes (cost 144 ) 0.114 * * [simplify]: iteration 3 : 3620 enodes (cost 144 ) 0.159 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.161 * [simplify]: Simplified to: (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))) (- x) (- (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ x y)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (/ (sqrt x) (+ x y)) (sqrt x) (/ (sqrt x) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) (/ (+ x y) x) (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (sqrt (+ x y))) x x (/ (+ x y) (cbrt x)) (/ (+ x y) (sqrt x)) (/ (+ x y) x) (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0.161 * * * [progress]: adding candidates to table 0.201 * * [progress]: iteration 2 / 4 0.201 * * * [progress]: picking best candidate 0.207 * * * * [pick]: Picked # 0.207 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.232 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.245 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (+ x y) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.257 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.257 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.257 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.257 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.257 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.258 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.260 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of 1 in y 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.271 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 (/ 1 x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 x) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.274 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of 1 in y 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.291 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.291 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.291 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.291 * [taylor]: Taking taylor expansion of (+ x y) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.291 * [taylor]: Taking taylor expansion of (+ x y) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.291 * [taylor]: Taking taylor expansion of (+ x y) in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of y in x 0.291 * [taylor]: Taking taylor expansion of x in x 0.291 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of 1 in y 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.297 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.301 * [taylor]: Taking taylor expansion of 1 in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * * * [progress]: simplifying candidates 0.317 * [simplify]: Simplifying using # : (- 1) (- (- (log (+ x y)) (log x))) (- (log (/ (+ x y) x))) (- 0 (- (log (+ x y)) (log x))) (- 0 (log (/ (+ x y) x))) (- (log 1) (- (log (+ x y)) (log x))) (- (log 1) (log (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ (* (* 1 1) 1) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x))) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (* (* (/ 1 (/ (+ x y) x)) (/ 1 (/ (+ x y) x))) (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (cbrt 1) (cbrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ x y) x))) (/ (cbrt 1) (sqrt (/ (+ x y) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (cbrt 1) (/ (cbrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ x y)) 1)) (/ (cbrt 1) (/ (sqrt (+ x y)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ x y) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ x y) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ x y) x)) (/ (* (cbrt 1) (cbrt 1)) (+ x y)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ (sqrt 1) (cbrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (sqrt (/ (+ x y) x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ (sqrt 1) (/ (cbrt (+ x y)) x)) (/ (sqrt 1) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ x y)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ x y)) 1)) (/ (sqrt 1) (/ (sqrt (+ x y)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ x y) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ x y) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ x y) x)) (/ (sqrt 1) (+ x y)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ x y)) (cbrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (cbrt (+ x y)) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (cbrt (+ x y)) x)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (cbrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ (sqrt (+ x y)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ x y) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ x y) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ x y) x)) (/ 1 1) (/ 1 (/ (+ x y) x)) (/ 1 (+ x y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ x y) x)) (/ (/ (+ x y) x) 1) (/ 1 (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x)))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x))) (/ 1 (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (/ 1 (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ x y)) (sqrt x))) (/ 1 (/ (sqrt (+ x y)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ x y)) (/ (/ (+ x y) x) (cbrt 1)) (/ (/ (+ x y) x) (sqrt 1)) (/ (/ (+ x y) x) 1) (/ 1 (+ x y)) (- (log (+ x y)) (log x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (* (* (/ (+ x y) x) (/ (+ x y) x)) (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) (/ 1 1) (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (/ (+ x y) 1) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* x (+ (* x x) (- (* y y) (* x y)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.327 * * [simplify]: iteration 0 : 346 enodes (cost 800 ) 0.333 * * [simplify]: iteration 1 : 1531 enodes (cost 702 ) 0.354 * * [simplify]: iteration 2 : 5001 enodes (cost 612 ) 0.358 * [simplify]: Simplified to: (- 1) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (log (/ 1 (/ (+ x y) x))) (exp (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (/ 1 (pow (/ (+ x y) x) 3)) (* (cbrt (/ 1 (/ (+ x y) x))) (cbrt (/ 1 (/ (+ x y) x)))) (cbrt (/ 1 (/ (+ x y) x))) (/ 1 (pow (/ (+ x y) x) 3)) (sqrt (/ 1 (/ (+ x y) x))) (sqrt (/ 1 (/ (+ x y) x))) (- 1) (- (/ (+ x y) x)) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt x) (cbrt (+ x y))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ x (cbrt (+ x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (cbrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ x (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ x y) (cbrt x))) (sqrt x) (/ (sqrt x) (+ x y)) 1 (/ x (+ x y)) 1 (/ x (+ x y)) (/ 1 (+ x y)) x (/ x (+ x y)) (/ (+ x y) x) (/ (/ 1 (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x))) (/ 1 (sqrt (/ (+ x y) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) (/ 1 (sqrt (+ x y))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ x y)) (/ (+ x y) x) (/ (+ x y) x) (/ (+ x y) x) (/ 1 (+ x y)) (log (/ (+ x y) x)) (log (/ (+ x y) x)) (exp (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (* (cbrt (/ (+ x y) x)) (cbrt (/ (+ x y) x))) (cbrt (/ (+ x y) x)) (pow (/ (+ x y) x) 3) (sqrt (/ (+ x y) x)) (sqrt (/ (+ x y) x)) (- (+ x y)) (- x) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ x y)) (cbrt x)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt x)) (/ (cbrt (+ x y)) (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) x) (/ (sqrt (+ x y)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ x y)) (cbrt x)) (/ (sqrt (+ x y)) (sqrt x)) (/ (sqrt (+ x y)) (sqrt x)) (sqrt (+ x y)) (/ (sqrt (+ x y)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ x y) (cbrt x)) (/ 1 (sqrt x)) (/ (+ x y) (sqrt x)) 1 (/ (+ x y) x) (/ 1 x) (/ x (+ x y)) (/ (+ x y) (* (cbrt x) (cbrt x))) (/ (+ x y) (sqrt x)) (+ x y) (/ x (cbrt (+ x y))) (/ x (sqrt (+ x y))) (/ x (+ x y)) (/ x (+ x y)) (* (+ (* y (- y x)) (* x x)) x) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.359 * * * [progress]: adding candidates to table 0.453 * * [progress]: iteration 3 / 4 0.453 * * * [progress]: picking best candidate 0.456 * * * * [pick]: Picked # 0.456 * * * [progress]: localizing error 0.460 * * * [progress]: generating rewritten candidates 0.460 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.469 * * * [progress]: generating series expansions 0.469 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.469 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.469 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.469 * [taylor]: Taking taylor expansion of (/ y x) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 1 in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.470 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.470 * [taylor]: Taking taylor expansion of (/ y x) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of 1 in y 0.470 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.470 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.470 * [taylor]: Taking taylor expansion of (/ y x) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of x in y 0.470 * [taylor]: Taking taylor expansion of 1 in y 0.471 * [taylor]: Taking taylor expansion of 1 in x 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.478 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.478 * [taylor]: Taking taylor expansion of (/ x y) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of 1 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.478 * [taylor]: Taking taylor expansion of (/ x y) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.478 * [taylor]: Taking taylor expansion of (/ x y) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of 1 in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.494 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.494 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.494 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) 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 1 in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.494 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.494 * [taylor]: Taking taylor expansion of (/ x y) in y 0.494 * [taylor]: Taking taylor expansion of x in y 0.494 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.495 * [taylor]: Taking taylor expansion of (/ x y) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.507 * * * [progress]: simplifying candidates 0.508 * [simplify]: Simplifying using # : (- 1) (- (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) 0 0 0 0.511 * * [simplify]: iteration 0 : 126 enodes (cost 204 ) 0.515 * * [simplify]: iteration 1 : 546 enodes (cost 164 ) 0.521 * * [simplify]: iteration 2 : 1369 enodes (cost 164 ) 0.537 * * [simplify]: iteration 3 : 3712 enodes (cost 164 ) 0.644 * * [simplify]: iteration 4 : 5001 enodes (cost 164 ) 0.646 * [simplify]: Simplified to: (- 1) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ 1 (pow (+ (/ y x) 1) 3)) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (/ 1 (pow (+ (/ y x) 1) 3)) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (+ (/ y x) 1) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 1 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) 0 0 0 0.646 * * * [progress]: adding candidates to table 0.677 * * [progress]: iteration 4 / 4 0.677 * * * [progress]: picking best candidate 0.679 * * * * [pick]: Picked # 0.679 * * * [progress]: localizing error 0.684 * * * [progress]: generating rewritten candidates 0.684 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.700 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.711 * * * [progress]: generating series expansions 0.711 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.711 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.711 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of (+ x y) in y 0.711 * [taylor]: Taking taylor expansion of x in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (+ x y) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of y in x 0.711 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of (+ x y) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.716 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.723 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.723 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.724 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.726 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.726 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.726 * [taylor]: Taking taylor expansion of x in x 0.728 * [taylor]: Taking taylor expansion of 1 in y 0.729 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.732 * [taylor]: Taking taylor expansion of y in y 0.737 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.737 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in y 0.737 * [taylor]: Taking taylor expansion of -1 in y 0.737 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in y 0.737 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in y 0.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.737 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.737 * [taylor]: Taking taylor expansion of -1 in y 0.737 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.737 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.738 * [taylor]: Taking taylor expansion of -1 in x 0.738 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.738 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.738 * [taylor]: Taking taylor expansion of -1 in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.740 * [taylor]: Taking taylor expansion of -1 in x 0.740 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.740 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.741 * [taylor]: Taking taylor expansion of -1 in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of +nan.0 in y 0.748 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.748 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.748 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.748 * [taylor]: Taking taylor expansion of +nan.0 in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.749 * [taylor]: Taking taylor expansion of +nan.0 in y 0.758 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.758 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.758 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.758 * [taylor]: Taking taylor expansion of +nan.0 in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.759 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.759 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.759 * [taylor]: Taking taylor expansion of +nan.0 in y 0.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.759 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.759 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.759 * [taylor]: Taking taylor expansion of +nan.0 in y 0.767 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.767 * [approximate]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in (x y) around 0 0.767 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in y 0.767 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.767 * [taylor]: Taking taylor expansion of x in y 0.767 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.767 * [taylor]: Taking taylor expansion of (+ x y) in y 0.767 * [taylor]: Taking taylor expansion of x in y 0.767 * [taylor]: Taking taylor expansion of y in y 0.767 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in x 0.767 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.768 * [taylor]: Taking taylor expansion of (+ x y) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of y in x 0.768 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in x 0.768 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.770 * [taylor]: Taking taylor expansion of (+ x y) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [taylor]: Taking taylor expansion of y in x 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.770 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.770 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.770 * [taylor]: Taking taylor expansion of +nan.0 in y 0.770 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.770 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 2)))))) in y 0.778 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 2))))) in y 0.778 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.778 * [taylor]: Taking taylor expansion of +nan.0 in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 2)))) in y 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.779 * [taylor]: Taking taylor expansion of +nan.0 in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.784 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in y 0.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.784 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.785 * [taylor]: Taking taylor expansion of x in y 0.785 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in x 0.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in x 0.787 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.789 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.791 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.791 * [taylor]: Taking taylor expansion of +nan.0 in y 0.795 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.795 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.795 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.795 * [taylor]: Taking taylor expansion of +nan.0 in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.796 * [taylor]: Taking taylor expansion of +nan.0 in y 0.798 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.798 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in y 0.798 * [taylor]: Taking taylor expansion of -1 in y 0.799 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in y 0.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.799 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.799 * [taylor]: Taking taylor expansion of -1 in y 0.799 * [taylor]: Taking taylor expansion of x in y 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.799 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.799 * [taylor]: Taking taylor expansion of x in y 0.799 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.799 * [taylor]: Taking taylor expansion of -1 in x 0.799 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.800 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.802 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.802 * [taylor]: Taking taylor expansion of -1 in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of +nan.0 in y 0.808 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.808 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.808 * [taylor]: Taking taylor expansion of +nan.0 in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.808 * [taylor]: Taking taylor expansion of +nan.0 in y 0.816 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.816 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.816 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.816 * [taylor]: Taking taylor expansion of +nan.0 in y 0.816 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.817 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.817 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.817 * [taylor]: Taking taylor expansion of +nan.0 in y 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.817 * [taylor]: Taking taylor expansion of +nan.0 in y 0.825 * * * [progress]: simplifying candidates 0.826 * [simplify]: Simplifying using # : (* (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 (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) (+ x y))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ x y)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ x y)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt 1) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ x y)))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y))))) (* (sqrt x) (/ 1 (sqrt (+ x y)))) (* (sqrt x) (/ 1 1)) (* (sqrt x) (/ 1 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt x)) (* (sqrt x) (/ (sqrt x) (+ (pow x 3) (pow y 3)))) (* (sqrt x) (/ (sqrt x) (- (* x x) (* y y)))) (* (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)) (- (log (sqrt x)) (log (+ x y))) (log (/ (sqrt x) (+ x y))) (exp (/ (sqrt x) (+ x y))) (/ (* (* 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3) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (sqrt x) (/ (pow (sqrt (sqrt x)) 3) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (pow (sqrt (sqrt x)) 3) (sqrt (+ x y))) (pow (sqrt (sqrt x)) 3) (pow (sqrt (sqrt x)) 3) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (sqrt x) (sqrt x) x (/ x (+ (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ x y))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ x y))) (/ (pow (sqrt (sqrt x)) 3) (+ x y)) (/ x (+ x y)) (/ (pow (sqrt (sqrt x)) 3) (+ x y)) (/ x (+ x y)) x (log (/ (sqrt x) (+ x y))) (log (/ (sqrt x) (+ x y))) (exp (/ (sqrt x) (+ x y))) (pow (/ (sqrt x) (+ x y)) 3) (* (cbrt (/ (sqrt x) (+ x y))) (cbrt (/ (sqrt x) (+ x y)))) (cbrt (/ (sqrt x) (+ x y))) (pow (/ (sqrt x) (+ x y)) 3) (sqrt (/ (sqrt x) (+ x y))) (sqrt (/ (sqrt x) (+ x y))) (- (sqrt x)) (- (+ x y)) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (sqrt x)) (cbrt (+ x y))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ x y))) (/ (cbrt (sqrt x)) (sqrt (+ x y))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (cbrt (sqrt x)) (+ x y)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (cbrt (sqrt x)) (+ x y)) (/ (/ (fabs (cbrt x)) (cbrt (+ x y))) (cbrt (+ x y))) (/ (sqrt (cbrt x)) (cbrt (+ x y))) (/ (fabs (cbrt x)) (* (sqrt (+ x y)) 1)) (/ (sqrt (cbrt x)) (sqrt (+ x y))) (fabs (cbrt x)) (/ (sqrt (cbrt x)) (+ x y)) (fabs (cbrt x)) (/ (sqrt (cbrt x)) (+ x y)) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (sqrt x)) (cbrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ x y)) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) 1 (/ (sqrt x) (+ x y)) 1 (/ (sqrt x) (+ x y)) (/ (sqrt (sqrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (sqrt x)) (cbrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (/ (sqrt (sqrt x)) (sqrt (+ x y))) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ x y)) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (sqrt x) (sqrt (+ x y))) 1 (/ (sqrt x) (+ x y)) 1 (/ (sqrt x) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (sqrt x)) (/ (sqrt x) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt x) (sqrt (+ x y))) (sqrt x) (sqrt x) (/ (+ x y) (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)) (/ (sqrt x) (+ (pow x 3) (pow y 3))) (/ (sqrt x) (- (* x x) (* y y))) 0 0 0 0 0 0 0.921 * * * [progress]: adding candidates to table 1.043 * [progress]: [Phase 3 of 3] Extracting. 1.043 * * [regime]: Finding splitpoints for: (# # #) 1.043 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.043 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.053 * * * * [regimes]: Trying to branch on y from (# # #) 1.067 * * * * [regimes]: Trying to branch on x from (# # #) 1.079 * * * [regime]: Found split indices: #