14.324 * [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 (+ y x)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ y x)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of (+ x y) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [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 0.028 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.031 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.031 * [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 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [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 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [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 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.051 * [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 0.053 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.053 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.053 * [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 0.064 * [simplify]: Simplifying using # : (expm1 (/ x (+ y x))) (log1p (/ x (+ y x))) (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y 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) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.072 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.075 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.082 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.101 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.151 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.152 * [simplify]: Simplified to: (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) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.152 * * * [progress]: adding candidates to table 0.197 * * [progress]: iteration 2 / 4 0.197 * * * [progress]: picking best candidate 0.200 * * * * [pick]: Picked # 0.200 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.217 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.228 * * * [progress]: generating series expansions 0.228 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.228 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 0.228 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (+ x y) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (+ x y) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (+ x y) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of 1 in x 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.235 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 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 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.237 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.238 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.252 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.252 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.254 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.254 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.268 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.268 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 0.268 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.268 * [taylor]: Taking taylor expansion of (+ x y) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.268 * [taylor]: Taking taylor expansion of (+ x y) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.268 * [taylor]: Taking taylor expansion of (+ x y) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.271 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 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 0.272 * [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 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 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.275 * [taylor]: Taking taylor expansion of 0 in x 0.276 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.278 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.278 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [taylor]: Taking taylor expansion of 1 in x 0.282 * [taylor]: Taking taylor expansion of 0 in x 0.283 * [taylor]: Taking taylor expansion of 0 in x 0.285 * [taylor]: Taking taylor expansion of 0 in x 0.285 * * * [progress]: simplifying candidates 0.287 * [simplify]: Simplifying using # : (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 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 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.293 * * [simplify]: iteration 0 : 354 enodes (cost 814 ) 0.301 * * [simplify]: iteration 1 : 1566 enodes (cost 715 ) 0.324 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.329 * [simplify]: Simplified to: (expm1 (/ 1 (/ (+ y x) x))) (log1p (/ 1 (/ (+ y x) x))) (- 1) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (/ 1 (pow (/ (+ y x) x) 3)) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ x (+ y x)) (/ (+ y x) x) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ y x)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ y x)) (expm1 (/ (+ y x) x)) (log1p (/ (+ y x) x)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (fma x (- x y) (* y y))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.333 * * * [progress]: adding candidates to table 0.461 * * [progress]: iteration 3 / 4 0.461 * * * [progress]: picking best candidate 0.463 * * * * [pick]: Picked # 0.463 * * * [progress]: localizing error 0.468 * * * [progress]: generating rewritten candidates 0.468 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.478 * * * [progress]: generating series expansions 0.478 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.478 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.478 * [taylor]: Taking taylor expansion of (/ y x) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.478 * [taylor]: Taking taylor expansion of (/ y x) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of 1 in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.479 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.479 * [taylor]: Taking taylor expansion of (/ y x) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of 1 in y 0.479 * [taylor]: Taking taylor expansion of 1 in x 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.486 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.486 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.486 * [taylor]: Taking taylor expansion of (/ x y) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of 1 in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.489 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.489 * [taylor]: Taking taylor expansion of (/ x y) in y 0.489 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 1 in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.489 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.489 * [taylor]: Taking taylor expansion of (/ x y) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 1 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.502 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.502 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.502 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.502 * [taylor]: Taking taylor expansion of (/ x y) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of 1 in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.503 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.503 * [taylor]: Taking taylor expansion of (/ x y) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.503 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.503 * [taylor]: Taking taylor expansion of (/ x y) in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.515 * * * [progress]: simplifying candidates 0.516 * [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 0.519 * * [simplify]: iteration 0 : 126 enodes (cost 214 ) 0.522 * * [simplify]: iteration 1 : 571 enodes (cost 169 ) 0.528 * * [simplify]: iteration 2 : 1432 enodes (cost 168 ) 0.546 * * [simplify]: iteration 3 : 3999 enodes (cost 168 ) 0.655 * * [simplify]: iteration 4 : 5001 enodes (cost 168 ) 0.657 * [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))) (pow (/ 1 (+ (/ y x) 1)) 3) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (pow (/ 1 (+ (/ 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 (+ 1 (pow (/ y x) 3))) (/ 1 (fma (/ y x) (/ y x) (- 1))) 0 0 0 0.657 * * * [progress]: adding candidates to table 0.688 * * [progress]: iteration 4 / 4 0.688 * * * [progress]: picking best candidate 0.690 * * * * [pick]: Picked # 0.690 * * * [progress]: localizing error 0.699 * * * [progress]: generating rewritten candidates 0.699 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.699 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.706 * * * [progress]: generating series expansions 0.706 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.706 * [approximate]: Taking taylor expansion of (log1p (/ y x)) in (y x) around 0 0.706 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in x 0.706 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.706 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in x 0.706 * [taylor]: Taking taylor expansion of 1 in x 0.706 * [taylor]: Taking taylor expansion of (/ y x) in x 0.706 * [taylor]: Taking taylor expansion of y in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in y 0.706 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.706 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in y 0.706 * [taylor]: Taking taylor expansion of 1 in y 0.706 * [taylor]: Taking taylor expansion of (/ y x) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.707 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in y 0.707 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.707 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in y 0.707 * [taylor]: Taking taylor expansion of 1 in y 0.707 * [taylor]: Taking taylor expansion of (/ y x) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of x in y 0.708 * [taylor]: Taking taylor expansion of 0 in x 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.710 * [taylor]: Taking taylor expansion of (/ -1/2 (pow x 2)) in x 0.710 * [taylor]: Taking taylor expansion of -1/2 in x 0.710 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.710 * [taylor]: Taking taylor expansion of x in x 0.713 * [approximate]: Taking taylor expansion of (log1p (/ x y)) in (y x) around 0 0.713 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in x 0.713 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.713 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in x 0.713 * [taylor]: Taking taylor expansion of 1 in x 0.713 * [taylor]: Taking taylor expansion of (/ x y) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.714 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.714 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.714 * [taylor]: Taking taylor expansion of 1 in y 0.714 * [taylor]: Taking taylor expansion of (/ x y) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.714 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.714 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.714 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.714 * [taylor]: Taking taylor expansion of 1 in y 0.714 * [taylor]: Taking taylor expansion of (/ x y) in y 0.714 * [taylor]: Taking taylor expansion of x in y 0.714 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in x 0.715 * [taylor]: Taking taylor expansion of (log x) in x 0.715 * [taylor]: Taking taylor expansion of x in x 0.715 * [taylor]: Taking taylor expansion of (log y) in x 0.715 * [taylor]: Taking taylor expansion of y in x 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (/ -1/2 (pow x 2)) in x 0.721 * [taylor]: Taking taylor expansion of -1/2 in x 0.721 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.729 * [taylor]: Taking taylor expansion of 1/3 in x 0.729 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.734 * [approximate]: Taking taylor expansion of (log1p (/ x y)) in (y x) around 0 0.734 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in x 0.734 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.734 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in x 0.735 * [taylor]: Taking taylor expansion of 1 in x 0.735 * [taylor]: Taking taylor expansion of (/ x y) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.735 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.735 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.735 * [taylor]: Taking taylor expansion of 1 in y 0.735 * [taylor]: Taking taylor expansion of (/ x y) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.735 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.735 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.735 * [taylor]: Taking taylor expansion of 1 in y 0.735 * [taylor]: Taking taylor expansion of (/ x y) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of (- (log x) (log y)) in x 0.736 * [taylor]: Taking taylor expansion of (log x) in x 0.736 * [taylor]: Taking taylor expansion of x in x 0.736 * [taylor]: Taking taylor expansion of (log y) in x 0.736 * [taylor]: Taking taylor expansion of y in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ -1/2 (pow x 2)) in x 0.742 * [taylor]: Taking taylor expansion of -1/2 in x 0.742 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (/ 1/3 (pow x 3)) in x 0.751 * [taylor]: Taking taylor expansion of 1/3 in x 0.751 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.757 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.757 * [approximate]: Taking taylor expansion of (exp (- (log1p (/ y x)))) in (y x) around 0 0.757 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ y x)))) in x 0.757 * [taylor]: Taking taylor expansion of (- (log1p (/ y x))) in x 0.757 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in x 0.757 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.757 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in x 0.757 * [taylor]: Taking taylor expansion of 1 in x 0.757 * [taylor]: Taking taylor expansion of (/ y x) in x 0.757 * [taylor]: Taking taylor expansion of y in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ y x)))) in y 0.758 * [taylor]: Taking taylor expansion of (- (log1p (/ y x))) in y 0.758 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in y 0.758 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.758 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in y 0.758 * [taylor]: Taking taylor expansion of 1 in y 0.758 * [taylor]: Taking taylor expansion of (/ y x) in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.759 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ y x)))) in y 0.759 * [taylor]: Taking taylor expansion of (- (log1p (/ y x))) in y 0.759 * [taylor]: Taking taylor expansion of (log1p (/ y x)) in y 0.759 * [taylor]: Rewrote expression to (log (+ 1 (/ y x))) 0.759 * [taylor]: Taking taylor expansion of (+ 1 (/ y x)) in y 0.759 * [taylor]: Taking taylor expansion of 1 in y 0.759 * [taylor]: Taking taylor expansion of (/ y x) in y 0.759 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of 1 in x 0.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 0.769 * [taylor]: Taking taylor expansion of -1 in x 0.769 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.774 * [approximate]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in (y x) around 0 0.774 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in x 0.774 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in x 0.774 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in x 0.774 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.774 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in x 0.774 * [taylor]: Taking taylor expansion of 1 in x 0.774 * [taylor]: Taking taylor expansion of (/ x y) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [taylor]: Taking taylor expansion of y in x 0.779 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in y 0.779 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in y 0.779 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.779 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.779 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.779 * [taylor]: Taking taylor expansion of 1 in y 0.779 * [taylor]: Taking taylor expansion of (/ x y) in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in y 0.780 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in y 0.780 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.780 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.780 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.780 * [taylor]: Taking taylor expansion of 1 in y 0.780 * [taylor]: Taking taylor expansion of (/ x y) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.781 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.781 * [taylor]: Taking taylor expansion of (log y) in x 0.781 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (log x) in x 0.781 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (- (log y) (log x))) x)) in x 0.784 * [taylor]: Taking taylor expansion of -1 in x 0.784 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) x) in x 0.784 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.784 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.784 * [taylor]: Taking taylor expansion of (log y) in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.784 * [taylor]: Taking taylor expansion of (log x) in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of x in x 0.792 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) (pow x 2)) in x 0.792 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.792 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.792 * [taylor]: Taking taylor expansion of (log y) in x 0.792 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (log x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.814 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (- (log y) (log x))) (pow x 3))) in x 0.814 * [taylor]: Taking taylor expansion of -1 in x 0.814 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) (pow x 3)) in x 0.814 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.814 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.814 * [taylor]: Taking taylor expansion of (log y) in x 0.814 * [taylor]: Taking taylor expansion of y in x 0.814 * [taylor]: Taking taylor expansion of (log x) in x 0.814 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.833 * [approximate]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in (y x) around 0 0.833 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in x 0.833 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in x 0.833 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in x 0.833 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.833 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in x 0.833 * [taylor]: Taking taylor expansion of 1 in x 0.833 * [taylor]: Taking taylor expansion of (/ x y) in x 0.833 * [taylor]: Taking taylor expansion of x in x 0.833 * [taylor]: Taking taylor expansion of y in x 0.835 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in y 0.835 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in y 0.835 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.835 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.835 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.835 * [taylor]: Taking taylor expansion of 1 in y 0.835 * [taylor]: Taking taylor expansion of (/ x y) in y 0.835 * [taylor]: Taking taylor expansion of x in y 0.835 * [taylor]: Taking taylor expansion of y in y 0.835 * [taylor]: Taking taylor expansion of (exp (- (log1p (/ x y)))) in y 0.836 * [taylor]: Taking taylor expansion of (- (log1p (/ x y))) in y 0.836 * [taylor]: Taking taylor expansion of (log1p (/ x y)) in y 0.836 * [taylor]: Rewrote expression to (log (+ 1 (/ x y))) 0.836 * [taylor]: Taking taylor expansion of (+ 1 (/ x y)) in y 0.836 * [taylor]: Taking taylor expansion of 1 in y 0.836 * [taylor]: Taking taylor expansion of (/ x y) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.837 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.837 * [taylor]: Taking taylor expansion of (log y) in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (log x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (- (log y) (log x))) x)) in x 0.839 * [taylor]: Taking taylor expansion of -1 in x 0.839 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) x) in x 0.839 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.839 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.839 * [taylor]: Taking taylor expansion of (log y) in x 0.839 * [taylor]: Taking taylor expansion of y in x 0.839 * [taylor]: Taking taylor expansion of (log x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.840 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.848 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.848 * [taylor]: Taking taylor expansion of (log y) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (log x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.849 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.873 * [taylor]: Taking taylor expansion of (* -1 (/ (exp (- (log y) (log x))) (pow x 3))) in x 0.874 * [taylor]: Taking taylor expansion of -1 in x 0.874 * [taylor]: Taking taylor expansion of (/ (exp (- (log y) (log x))) (pow x 3)) in x 0.874 * [taylor]: Taking taylor expansion of (exp (- (log y) (log x))) in x 0.874 * [taylor]: Taking taylor expansion of (- (log y) (log x)) in x 0.874 * [taylor]: Taking taylor expansion of (log y) in x 0.874 * [taylor]: Taking taylor expansion of y in x 0.874 * [taylor]: Taking taylor expansion of (log x) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.892 * * * [progress]: simplifying candidates 0.893 * [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)))) 0.897 * * [simplify]: iteration 0 : 155 enodes (cost 362 ) 0.900 * * [simplify]: iteration 1 : 401 enodes (cost 262 ) 0.909 * * [simplify]: iteration 2 : 1620 enodes (cost 182 ) 0.951 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.953 * [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) 0.953 * * * [progress]: adding candidates to table 1.020 * [progress]: [Phase 3 of 3] Extracting. 1.020 * * [regime]: Finding splitpoints for: (# # #) 1.020 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 1.020 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.031 * * * * [regimes]: Trying to branch on y from (# # #) 1.046 * * * * [regimes]: Trying to branch on x from (# # #) 1.058 * * * [regime]: Found split indices: #