2.893 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.014 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.016 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.018 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.020 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.020 * [simplify]: Simplified to: (/ x (+ y x)) 0.021 * * [progress]: iteration 1 / 4 0.021 * * * [progress]: picking best candidate 0.022 * * * * [pick]: Picked # 0.022 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (+ x y) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ x y) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.042 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.050 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [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 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [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 0.056 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [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 0.065 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.065 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.066 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.068 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.080 * * * [progress]: simplifying candidates 0.080 * [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 0.084 * * [simplify]: iteration 0 : 121 enodes (cost 159 ) 0.088 * * [simplify]: iteration 1 : 391 enodes (cost 150 ) 0.094 * * [simplify]: iteration 2 : 1069 enodes (cost 150 ) 0.116 * * [simplify]: iteration 3 : 3853 enodes (cost 150 ) 0.171 * * [simplify]: iteration 4 : 5001 enodes (cost 150 ) 0.172 * [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 0.172 * * * [progress]: adding candidates to table 0.236 * * [progress]: iteration 2 / 4 0.236 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.244 * * * [progress]: generating rewritten candidates 0.244 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.253 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.269 * * * [progress]: generating series expansions 0.269 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.269 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 0.269 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of (+ x y) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (+ x y) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of (+ x y) in y 0.269 * [taylor]: Taking taylor expansion of x in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1 in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.277 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.277 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.277 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) 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 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.280 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.295 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.295 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.295 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.297 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.298 * [taylor]: Taking taylor expansion of x in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.300 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.300 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.305 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.312 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.312 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 0.312 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.313 * [taylor]: Taking taylor expansion of (+ x y) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.313 * [taylor]: Taking taylor expansion of (+ x y) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.313 * [taylor]: Taking taylor expansion of (+ x y) in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of 0 in x 0.315 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.316 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.318 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of 1 in x 0.320 * [taylor]: Taking taylor expansion of 0 in x 0.322 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.324 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 1 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.331 * * * [progress]: simplifying candidates 0.333 * [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) 0.340 * * [simplify]: iteration 0 : 354 enodes (cost 814 ) 0.348 * * [simplify]: iteration 1 : 1566 enodes (cost 715 ) 0.373 * * [simplify]: iteration 2 : 5001 enodes (cost 625 ) 0.380 * [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) 0.381 * * * [progress]: adding candidates to table 0.547 * * [progress]: iteration 3 / 4 0.547 * * * [progress]: picking best candidate 0.548 * * * * [pick]: Picked # 0.548 * * * [progress]: localizing error 0.553 * * * [progress]: generating rewritten candidates 0.553 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.568 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.580 * * * [progress]: generating series expansions 0.580 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.580 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.580 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.580 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.580 * [taylor]: Taking taylor expansion of (/ y x) in x 0.580 * [taylor]: Taking taylor expansion of y in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of 1 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.580 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.580 * [taylor]: Taking taylor expansion of (/ y x) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of 1 in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.581 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.581 * [taylor]: Taking taylor expansion of (/ y x) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of 1 in y 0.582 * [taylor]: Taking taylor expansion of 1 in x 0.582 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.582 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.589 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.589 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.589 * [taylor]: Taking taylor expansion of (/ x y) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of 1 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.590 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.590 * [taylor]: Taking taylor expansion of (/ x y) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of 1 in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.590 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.590 * [taylor]: Taking taylor expansion of (/ x y) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of 1 in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.597 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.605 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.605 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.605 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.605 * [taylor]: Taking taylor expansion of (/ x y) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [taylor]: Taking taylor expansion of 1 in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.605 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.606 * [taylor]: Taking taylor expansion of (/ x y) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 1 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.606 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.606 * [taylor]: Taking taylor expansion of (/ x y) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 1 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.612 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.619 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.620 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (y x) around 0 0.620 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.620 * [taylor]: Taking taylor expansion of (/ y x) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of 1 in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.620 * [taylor]: Taking taylor expansion of (/ y x) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of 1 in y 0.620 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.620 * [taylor]: Taking taylor expansion of (/ y x) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.620 * [taylor]: Taking taylor expansion of x in y 0.620 * [taylor]: Taking taylor expansion of 1 in y 0.623 * [taylor]: Taking taylor expansion of 1 in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of 0 in x 0.625 * [taylor]: Taking taylor expansion of 0 in x 0.626 * [taylor]: Taking taylor expansion of 0 in x 0.626 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.626 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.627 * [taylor]: Taking taylor expansion of (/ x y) in x 0.627 * [taylor]: Taking taylor expansion of x in x 0.627 * [taylor]: Taking taylor expansion of y in x 0.627 * [taylor]: Taking taylor expansion of 1 in x 0.627 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.627 * [taylor]: Taking taylor expansion of (/ x y) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 1 in y 0.627 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.627 * [taylor]: Taking taylor expansion of (/ x y) in y 0.627 * [taylor]: Taking taylor expansion of x in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 1 in y 0.627 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of 1 in x 0.629 * [taylor]: Taking taylor expansion of 0 in x 0.631 * [taylor]: Taking taylor expansion of 0 in x 0.631 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (y x) around 0 0.631 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.631 * [taylor]: Taking taylor expansion of (/ x y) in x 0.631 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of y in x 0.631 * [taylor]: Taking taylor expansion of 1 in x 0.631 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.631 * [taylor]: Taking taylor expansion of (/ x y) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 1 in y 0.631 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.631 * [taylor]: Taking taylor expansion of (/ x y) in y 0.631 * [taylor]: Taking taylor expansion of x in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 1 in y 0.631 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of 1 in x 0.634 * [taylor]: Taking taylor expansion of 0 in x 0.635 * [taylor]: Taking taylor expansion of 0 in x 0.635 * * * [progress]: simplifying candidates 0.636 * [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))) (expm1 (+ (/ y x) 1)) (log1p (+ (/ y x) 1)) (* (exp (/ y x)) (exp 1)) (log (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) (pow 1 3)) (+ (* (/ y x) (/ y x)) (- (* 1 1) (* (/ y x) 1))) (- (* (/ y x) (/ y x)) (* 1 1)) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.641 * * [simplify]: iteration 0 : 153 enodes (cost 274 ) 0.646 * * [simplify]: iteration 1 : 738 enodes (cost 223 ) 0.655 * * [simplify]: iteration 2 : 1635 enodes (cost 223 ) 0.680 * * [simplify]: iteration 3 : 4533 enodes (cost 222 ) 0.820 * * [simplify]: iteration 4 : 5001 enodes (cost 222 ) 0.822 * [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 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) (expm1 (+ (/ y x) 1)) (log1p (+ (/ y x) 1)) (exp (+ (/ y x) 1)) (log1p (/ y x)) (exp (+ (/ y x) 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1)) (pow (+ (/ y x) 1) 3) (sqrt (+ (/ y x) 1)) (sqrt (+ (/ y x) 1)) (+ (pow (/ y x) 3) 1) (fma (/ y x) (- (/ y x) 1) 1) (- (* (/ y x) (/ y x)) 1) (- (/ y x) 1) (+ (/ y x) 1) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.822 * * * [progress]: adding candidates to table 0.945 * [progress]: [Phase 3 of 3] Extracting. 0.945 * * [regime]: Finding splitpoints for: (# # #) 0.945 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 0.945 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 0.957 * * * * [regimes]: Trying to branch on y from (# # #) 0.972 * * * * [regimes]: Trying to branch on x from (# # #) 0.985 * * * [regime]: Found split indices: #