12.434 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ x (+ x y)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.016 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (/ x (+ x y)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.021 * * * [progress]: generating rewritten candidates 0.021 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of (+ x y) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.032 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.038 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.047 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.051 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.051 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.057 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.064 * * * [progress]: simplifying candidates 0.067 * [simplify]: Simplifying using # : (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (- (log x) (log (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (/ (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- 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 0.071 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.074 * * [simplify]: iteration 1 : 393 enodes (cost 150 ) 0.080 * * [simplify]: iteration 2 : 1065 enodes (cost 150 ) 0.100 * * [simplify]: iteration 3 : 3830 enodes (cost 150 ) 0.149 * * [simplify]: iteration 4 : 5002 enodes (cost 150 ) 0.151 * [simplify]: Simplified to: (expm1 (/ x (+ x y))) (log1p (/ x (+ x y))) (log (/ x (+ x y))) (log (/ x (+ x y))) (exp (/ x (+ x y))) (pow (/ x (+ x y)) 3) (* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y)))) (cbrt (/ x (+ x y))) (pow (/ x (+ x y)) 3) (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))) (- 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 0.151 * * * [progress]: adding candidates to table 0.194 * * [progress]: iteration 2 / 4 0.194 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.202 * * * [progress]: generating rewritten candidates 0.202 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.213 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.223 * * * [progress]: generating series expansions 0.223 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.223 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.223 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of (+ x y) in y 0.223 * [taylor]: Taking taylor expansion of x in y 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (+ x y) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (+ x y) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.224 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.234 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.234 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.235 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.237 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.247 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.248 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.248 * [taylor]: Taking taylor expansion of y in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.250 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.250 * [taylor]: Taking taylor expansion of y in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of 1 in y 0.253 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.260 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.260 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (x y) around 0 0.260 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.260 * [taylor]: Taking taylor expansion of (+ x y) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.260 * [taylor]: Taking taylor expansion of (+ x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.260 * [taylor]: Taking taylor expansion of (+ x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in y 0.261 * [taylor]: Taking taylor expansion of 1 in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [taylor]: Taking taylor expansion of 0 in y 0.264 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.272 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.272 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.276 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.280 * * * [progress]: simplifying candidates 0.281 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 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)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (- (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) 0.292 * * [simplify]: iteration 0 : 352 enodes (cost 814 ) 0.300 * * [simplify]: iteration 1 : 1552 enodes (cost 715 ) 0.324 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.328 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ x y) x))) (log1p (/ 1 (/ (+ x y) x))) (- 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)) (expm1 (/ (+ x y) x)) (log1p (/ (+ x y) x)) (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)) (* x (fma x x (* y (- y x)))) (* x (- x y)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.329 * * * [progress]: adding candidates to table 0.431 * * [progress]: iteration 3 / 4 0.431 * * * [progress]: picking best candidate 0.434 * * * * [pick]: Picked # 0.434 * * * [progress]: localizing error 0.438 * * * [progress]: generating rewritten candidates 0.438 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.448 * * * [progress]: generating series expansions 0.448 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.448 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.448 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.448 * [taylor]: Taking taylor expansion of (/ y x) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of 1 in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.448 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.451 * [taylor]: Taking taylor expansion of (/ y x) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of 1 in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.452 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.452 * [taylor]: Taking taylor expansion of (/ y x) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of x in y 0.452 * [taylor]: Taking taylor expansion of 1 in y 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.453 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.459 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.459 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.459 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.459 * [taylor]: Taking taylor expansion of (/ x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of 1 in x 0.459 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.459 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.459 * [taylor]: Taking taylor expansion of (/ x y) in y 0.459 * [taylor]: Taking taylor expansion of x in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of 1 in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.460 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.460 * [taylor]: Taking taylor expansion of (/ x y) in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of 1 in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.472 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.472 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.472 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.472 * [taylor]: Taking taylor expansion of (/ x y) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.473 * [taylor]: Taking taylor expansion of (/ x y) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of 1 in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.473 * [taylor]: Taking taylor expansion of (/ x y) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.473 * [taylor]: Taking taylor expansion of 1 in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.486 * * * [progress]: simplifying candidates 0.486 * [simplify]: Simplifying using # : (expm1 (/ 1 (+ (/ y x) 1))) (log1p (/ 1 (+ (/ y x) 1))) (- 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 0.490 * * [simplify]: iteration 0 : 129 enodes (cost 212 ) 0.494 * * [simplify]: iteration 1 : 558 enodes (cost 168 ) 0.501 * * [simplify]: iteration 2 : 1417 enodes (cost 168 ) 0.519 * * [simplify]: iteration 3 : 3984 enodes (cost 168 ) 0.634 * * [simplify]: iteration 4 : 5001 enodes (cost 168 ) 0.635 * [simplify]: Simplified to: (expm1 (/ 1 (+ (/ y x) 1))) (log1p (/ 1 (+ (/ y x) 1))) (- 1) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (- 0 (log1p (/ y x))) (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 0.636 * * * [progress]: adding candidates to table 0.672 * * [progress]: iteration 4 / 4 0.672 * * * [progress]: picking best candidate 0.674 * * * * [pick]: Picked # 0.674 * * * [progress]: localizing error 0.680 * * * [progress]: generating rewritten candidates 0.680 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.681 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.688 * * * [progress]: generating series expansions 0.688 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.688 * [approximate]: Taking taylor expansion of (log1p (/ y x)) in (y x) around 0 0.688 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in x 0.688 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.688 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in x 0.688 * [taylor]: Taking taylor expansion of 1 in x 0.688 * [taylor]: Taking taylor expansion of (/ y x) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in y 0.688 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.688 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in y 0.688 * [taylor]: Taking taylor expansion of 1 in y 0.688 * [taylor]: Taking taylor expansion of (/ y x) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in y 0.689 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.689 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in y 0.689 * [taylor]: Taking taylor expansion of 1 in y 0.689 * [taylor]: Taking taylor expansion of (/ y x) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.690 * [taylor]: Taking taylor expansion of 0 in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (/ -1/2 (pow x 2)) in x 0.693 * [taylor]: Taking taylor expansion of -1/2 in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.696 * [approximate]: Taking taylor expansion of (log1p (/ x y)) in (y x) around 0 0.696 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in x 0.696 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.696 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in x 0.696 * [taylor]: Taking taylor expansion of 1 in x 0.696 * [taylor]: Taking taylor expansion of (/ x y) in x 0.696 * [taylor]: Taking taylor expansion of x in x 0.696 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.697 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.697 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.697 * [taylor]: Taking taylor expansion of 1 in y 0.697 * [taylor]: Taking taylor expansion of (/ x y) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.697 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.697 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.697 * [taylor]: Taking taylor expansion of 1 in y 0.697 * [taylor]: Taking taylor expansion of (/ x y) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in x 0.697 * [taylor]: Taking taylor expansion of (log x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (log y) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.699 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (/ -1/2 (pow x 2)) in x 0.703 * [taylor]: Taking taylor expansion of -1/2 in x 0.703 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.712 * [taylor]: Taking taylor expansion of 1/3 in x 0.712 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.717 * [approximate]: Taking taylor expansion of (log1p (/ x y)) in (y x) around 0 0.717 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in x 0.717 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.717 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in x 0.717 * [taylor]: Taking taylor expansion of 1 in x 0.717 * [taylor]: Taking taylor expansion of (/ x y) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [taylor]: Taking taylor expansion of y in x 0.718 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.718 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.718 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.718 * [taylor]: Taking taylor expansion of 1 in y 0.718 * [taylor]: Taking taylor expansion of (/ x y) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.718 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.718 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.718 * [taylor]: Taking taylor expansion of 1 in y 0.718 * [taylor]: Taking taylor expansion of (/ x y) in y 0.718 * [taylor]: Taking taylor expansion of x in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in x 0.719 * [taylor]: Taking taylor expansion of (log x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (log y) in x 0.719 * [taylor]: Taking taylor expansion of y in x 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (/ -1/2 (pow x 2)) in x 0.725 * [taylor]: Taking taylor expansion of -1/2 in x 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.734 * [taylor]: Taking taylor expansion of 1/3 in x 0.734 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.739 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.739 * [approximate]: Taking taylor expansion of (exp (- (log1p (/ y x)))) in (y x) around 0 0.739 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ y x)))) in x 0.739 * [taylor]: Taking taylor expansion of (- (log1p (/ y x))) in x 0.739 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in x 0.739 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.739 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in x 0.739 * [taylor]: Taking taylor expansion of 1 in x 0.739 * [taylor]: Taking taylor expansion of (/ y x) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ y x)))) in y 0.740 * [taylor]: Taking taylor expansion of (- (log1p (/ y x))) in y 0.740 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in y 0.740 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.740 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in y 0.740 * [taylor]: Taking taylor expansion of 1 in y 0.740 * [taylor]: Taking taylor expansion of (/ y x) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ y x)))) in y 0.741 * [taylor]: Taking taylor expansion of (- (log1p (/ y x))) in y 0.741 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in y 0.741 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.741 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in y 0.741 * [taylor]: Taking taylor expansion of 1 in y 0.741 * [taylor]: Taking taylor expansion of (/ y x) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.743 * [taylor]: Taking taylor expansion of 1 in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.746 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.746 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 0.757 * [taylor]: Taking taylor expansion of -1 in x 0.757 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.761 * [approximate]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in (y x) around 0 0.761 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in x 0.761 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in x 0.761 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in x 0.762 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.762 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in x 0.762 * [taylor]: Taking taylor expansion of 1 in x 0.762 * [taylor]: Taking taylor expansion of (/ x y) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in y 0.763 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in y 0.763 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.763 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.763 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.763 * [taylor]: Taking taylor expansion of 1 in y 0.763 * [taylor]: Taking taylor expansion of (/ x y) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in y 0.764 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in y 0.764 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.764 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.764 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.764 * [taylor]: Taking taylor expansion of 1 in y 0.764 * [taylor]: Taking taylor expansion of (/ x y) in y 0.764 * [taylor]: Taking taylor expansion of x in y 0.764 * [taylor]: Taking taylor expansion of y in y 0.765 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.765 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.765 * [taylor]: Taking taylor expansion of (log y) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (log x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.767 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (- (log y) (log x))) x)) in x 0.767 * [taylor]: Taking taylor expansion of -1 in x 0.767 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) x) in x 0.767 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.767 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.767 * [taylor]: Taking taylor expansion of (log y) in x 0.767 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of (log x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) (pow x 2)) in x 0.776 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.776 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.776 * [taylor]: Taking taylor expansion of (log y) in x 0.776 * [taylor]: Taking taylor expansion of y in x 0.776 * [taylor]: Taking taylor expansion of (log x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (- (log y) (log x))) (pow x 3))) in x 0.797 * [taylor]: Taking taylor expansion of -1 in x 0.797 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) (pow x 3)) in x 0.797 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.797 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.797 * [taylor]: Taking taylor expansion of (log y) in x 0.797 * [taylor]: Taking taylor expansion of y in x 0.797 * [taylor]: Taking taylor expansion of (log x) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.815 * [approximate]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in (y x) around 0 0.815 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in x 0.815 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in x 0.815 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in x 0.815 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.815 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in x 0.815 * [taylor]: Taking taylor expansion of 1 in x 0.815 * [taylor]: Taking taylor expansion of (/ x y) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in y 0.816 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in y 0.816 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.816 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.816 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.816 * [taylor]: Taking taylor expansion of 1 in y 0.816 * [taylor]: Taking taylor expansion of (/ x y) in y 0.816 * [taylor]: Taking taylor expansion of x in y 0.816 * [taylor]: Taking taylor expansion of y in y 0.817 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in y 0.817 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in y 0.817 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.817 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.817 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.817 * [taylor]: Taking taylor expansion of 1 in y 0.817 * [taylor]: Taking taylor expansion of (/ x y) in y 0.817 * [taylor]: Taking taylor expansion of x in y 0.817 * [taylor]: Taking taylor expansion of y in y 0.818 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.818 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.818 * [taylor]: Taking taylor expansion of (log y) in x 0.818 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of (log x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (- (log y) (log x))) x)) in x 0.820 * [taylor]: Taking taylor expansion of -1 in x 0.820 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) x) in x 0.820 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.820 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.820 * [taylor]: Taking taylor expansion of (log y) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (log x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) (pow x 2)) in x 0.829 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.829 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.829 * [taylor]: Taking taylor expansion of (log y) in x 0.829 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of (log x) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.830 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (- (log y) (log x))) (pow x 3))) in x 0.857 * [taylor]: Taking taylor expansion of -1 in x 0.857 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) (pow x 3)) in x 0.857 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.857 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.857 * [taylor]: Taking taylor expansion of (log y) in x 0.857 * [taylor]: Taking taylor expansion of y in x 0.857 * [taylor]: Taking taylor expansion of (log x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.882 * * * [progress]: simplifying candidates 0.883 * [simplify]: Simplifying using # : (+ 1 (/ y x)) (expm1 (log1p (/ y x))) (log1p (log1p (/ y x))) (log (log1p (/ y x))) (exp (log1p (/ y x))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x)))) (cbrt (log1p (/ y x))) (* (* (log1p (/ y x)) (log1p (/ y x))) (log1p (/ y x))) (sqrt (log1p (/ y x))) (sqrt (log1p (/ y x))) (expm1 (exp (- 0 (log1p (/ y x))))) (log1p (exp (- 0 (log1p (/ y x))))) (exp (* (cbrt (- 0 (log1p (/ y x)))) (cbrt (- 0 (log1p (/ y x)))))) (exp (sqrt (- 0 (log1p (/ y x))))) (exp 1) (exp (+ (sqrt 0) (sqrt (log1p (/ y x))))) (exp 1) (exp (fma (* (cbrt 0) (cbrt 0)) (cbrt 0) (- (* (cbrt (log1p (/ y x))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x)))))))) (exp (fma (- (cbrt (log1p (/ y x)))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x)))) (* (cbrt (log1p (/ y x))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x))))))) (exp (fma (* (cbrt 0) (cbrt 0)) (cbrt 0) (- (* (sqrt (log1p (/ y x))) (sqrt (log1p (/ y x))))))) (exp (fma (- (sqrt (log1p (/ y x)))) (sqrt (log1p (/ y x))) (* (sqrt (log1p (/ y x))) (sqrt (log1p (/ y x)))))) (exp (fma (* (cbrt 0) (cbrt 0)) (cbrt 0) (- (* (log1p (/ y x)) 1)))) (exp (fma (- (log1p (/ y x))) 1 (* (log1p (/ y x)) 1))) (exp (fma (sqrt 0) (sqrt 0) (- (* (cbrt (log1p (/ y x))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x)))))))) (exp (fma (- (cbrt (log1p (/ y x)))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x)))) (* (cbrt (log1p (/ y x))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x))))))) (exp (fma (sqrt 0) (sqrt 0) (- (* (sqrt (log1p (/ y x))) (sqrt (log1p (/ y x))))))) (exp (fma (- (sqrt (log1p (/ y x)))) (sqrt (log1p (/ y x))) (* (sqrt (log1p (/ y x))) (sqrt (log1p (/ y x)))))) (exp (fma (sqrt 0) (sqrt 0) (- (* (log1p (/ y x)) 1)))) (exp (fma (- (log1p (/ y x))) 1 (* (log1p (/ y x)) 1))) (exp (fma 1 0 (- (* (cbrt (log1p (/ y x))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x)))))))) (exp (fma (- (cbrt (log1p (/ y x)))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x)))) (* (cbrt (log1p (/ y x))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x))))))) (exp (fma 1 0 (- (* (sqrt (log1p (/ y x))) (sqrt (log1p (/ y x))))))) (exp (fma (- (sqrt (log1p (/ y x)))) (sqrt (log1p (/ y x))) (* (sqrt (log1p (/ y x))) (sqrt (log1p (/ y x)))))) (exp (fma 1 0 (- (* (log1p (/ y x)) 1)))) (exp (fma (- (log1p (/ y x))) 1 (* (log1p (/ y x)) 1))) (exp 0) (exp (- (log1p (/ y x)))) (exp 0) (exp (- (log1p (/ y x)))) (exp (log1p (/ y x))) (exp 0) (exp (log1p (/ y x))) (log (exp (- 0 (log1p (/ y x))))) (exp (exp (- 0 (log1p (/ y x))))) (* (cbrt (exp (- 0 (log1p (/ y x))))) (cbrt (exp (- 0 (log1p (/ y x)))))) (cbrt (exp (- 0 (log1p (/ y x))))) (* (* (exp (- 0 (log1p (/ y x)))) (exp (- 0 (log1p (/ y x))))) (exp (- 0 (log1p (/ y x))))) (sqrt (exp (- 0 (log1p (/ y x))))) (sqrt (exp (- 0 (log1p (/ y x))))) 0 (- (log (/ 1 x)) (log (/ 1 y))) (- (log (/ -1 x)) (log (/ -1 y))) 1 (exp (- (log (/ 1 y)) (log (/ 1 x)))) (exp (- (log (/ -1 y)) (log (/ -1 x)))) 0.890 * * [simplify]: iteration 0 : 155 enodes (cost 362 ) 0.894 * * [simplify]: iteration 1 : 401 enodes (cost 262 ) 0.906 * * [simplify]: iteration 2 : 1620 enodes (cost 182 ) 0.970 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.972 * [simplify]: Simplified to: (+ 1 (/ y x)) (/ y x) (log1p (log1p (/ y x))) (log (log1p (/ y x))) (exp (log1p (/ y x))) (* (cbrt (log1p (/ y x))) (cbrt (log1p (/ y x)))) (cbrt (log1p (/ y x))) (pow (log1p (/ y x)) 3) (sqrt (log1p (/ y x))) (sqrt (log1p (/ y x))) (expm1 (exp (- 0 (log1p (/ y x))))) (log1p (exp (- 0 (log1p (/ y x))))) (exp (* (cbrt (- 0 (log1p (/ y x)))) (cbrt (- 0 (log1p (/ y x)))))) (exp (sqrt (- 0 (log1p (/ y x))))) E (exp (+ (sqrt 0) (sqrt (log1p (/ y x))))) E (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) 1 1 (exp (- (log1p (/ y x)))) 1 (exp (- (log1p (/ y x)))) (exp (log1p (/ y x))) 1 (exp (log1p (/ y x))) (- 0 (log1p (/ y x))) (exp (exp (- 0 (log1p (/ y x))))) (* (cbrt (exp (- 0 (log1p (/ y x))))) (cbrt (exp (- 0 (log1p (/ y x)))))) (cbrt (exp (- 0 (log1p (/ y x))))) (pow (exp (- (log1p (/ y x)))) 3) (sqrt (exp (- 0 (log1p (/ y x))))) (sqrt (exp (- 0 (log1p (/ y x))))) 0 (- (log y) (log x)) (- (log (/ -1 x)) (log (/ -1 y))) 1 (/ x y) (/ x y) 0.973 * * * [progress]: adding candidates to table 1.048 * [progress]: [Phase 3 of 3] Extracting. 1.049 * * [regime]: Finding splitpoints for: (# # #) 1.049 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ x y)) y x) 1.049 * * * * [regimes]: Trying to branch on (/ x (+ x y)) from (# # #) 1.059 * * * * [regimes]: Trying to branch on y from (# # #) 1.074 * * * * [regimes]: Trying to branch on x from (# # #) 1.086 * * * [regime]: Found split indices: #