15.455 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (* x y) (+ y 1.0)) 0.016 * * [simplify]: iteration 0 : 10 enodes (cost 3 ) 0.017 * * [simplify]: iteration 1 : 14 enodes (cost 3 ) 0.019 * * [simplify]: iteration 2 : 17 enodes (cost 3 ) 0.020 * * [simplify]: iteration 3 : 18 enodes (cost 3 ) 0.021 * * [simplify]: iteration 4 : 18 enodes (cost 3 ) 0.021 * [simplify]: Simplified to: (/ (* x y) (+ y 1.0)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.027 * * * [progress]: generating rewritten candidates 0.027 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.034 * * * [progress]: generating series expansions 0.034 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.035 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.035 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.035 * [taylor]: Taking taylor expansion of (* x y) in y 0.035 * [taylor]: Taking taylor expansion of x in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of 1.0 in y 0.036 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) 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 (+ y 1.0) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) 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 (+ y 1.0) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.038 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.045 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.047 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.048 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.049 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.049 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.049 * [taylor]: Taking taylor expansion of 1.0 in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 1 in y 0.051 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.060 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.060 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.062 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.062 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.064 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.064 * [taylor]: Taking taylor expansion of 1.0 in x 0.064 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.065 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.065 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.065 * [taylor]: Taking taylor expansion of 1.0 in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of 1 in y 0.068 * [taylor]: Taking taylor expansion of 0 in y 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.080 * * * [progress]: simplifying candidates 0.081 * [simplify]: Simplifying using # : (- (+ (log x) (log y)) (log (+ y 1.0))) (- (log (* x y)) (log (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (* (* (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0))) (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ x 1) (/ y (+ y 1.0)) (/ x 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) 1) (/ (* x y) 1) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.085 * * [simplify]: iteration 0 : 196 enodes (cost 146 ) 0.089 * * [simplify]: iteration 1 : 876 enodes (cost 121 ) 0.107 * * [simplify]: iteration 2 : 4575 enodes (cost 120 ) 0.205 * * [simplify]: iteration 3 : 5001 enodes (cost 120 ) 0.206 * [simplify]: Simplified to: (log (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (log (/ (* x y) (+ y 1.0))) (exp (/ (* x y) (+ y 1.0))) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (* (cbrt (/ (* x y) (+ y 1.0))) (cbrt (/ (* x y) (+ y 1.0)))) (cbrt (/ (* x y) (+ y 1.0))) (pow (/ (* x y) (+ y 1.0)) 3) (sqrt (/ (* x y) (+ y 1.0))) (sqrt (/ (* x y) (+ y 1.0))) (- (* x y)) (- (+ y 1.0)) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (* x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0))) (* x y) (* x y) (/ (+ y 1.0) y) (/ (* x y) (+ (pow y 3) (pow 1.0 3))) (/ (* x y) (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) 0.206 * * * [progress]: adding candidates to table 0.242 * * [progress]: iteration 2 / 4 0.242 * * * [progress]: picking best candidate 0.244 * * * * [pick]: Picked # 0.244 * * * [progress]: localizing error 0.249 * * * [progress]: generating rewritten candidates 0.249 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.261 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.268 * * * [progress]: generating series expansions 0.268 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.269 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.269 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) 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 (+ y 1.0) in y 0.269 * [taylor]: Taking taylor expansion of y in y 0.269 * [taylor]: Taking taylor expansion of 1.0 in y 0.269 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.270 * [taylor]: Taking taylor expansion of (* x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.270 * [taylor]: Taking taylor expansion of (* x y) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.279 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) 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 1.0 in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.281 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.282 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.283 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.283 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.283 * [taylor]: Taking taylor expansion of 1.0 in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 1 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.293 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.293 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.294 * [taylor]: Taking taylor expansion of 1.0 in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.296 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.297 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.299 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.299 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.299 * [taylor]: Taking taylor expansion of 1.0 in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of 1 in y 0.301 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.311 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.311 * [approximate]: Taking taylor expansion of (/ y (+ y 1.0)) in (y) around 0 0.311 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.311 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.318 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in (y) around 0 0.318 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.318 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of 1.0 in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.320 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of 1.0 in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.330 * [approximate]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in (y) around 0 0.331 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.331 * [taylor]: Taking taylor expansion of -1 in y 0.331 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of 1.0 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ -1 (* (- 1.0 (/ 1 y)) y)) in y 0.333 * [taylor]: Taking taylor expansion of -1 in y 0.333 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.333 * [taylor]: Taking taylor expansion of 1.0 in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.347 * * * [progress]: simplifying candidates 0.348 * [simplify]: Simplifying using # : (* x (/ y (+ y 1.0))) (+ (log x) (- (log y) (log (+ y 1.0)))) (+ (log x) (log (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (exp (* x (/ y (+ y 1.0)))) (* (* (* x x) x) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* x x) x) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0)))) (* (cbrt (* x (/ y (+ y 1.0)))) (cbrt (* x (/ y (+ y 1.0))))) (cbrt (* x (/ y (+ y 1.0)))) (* (* (* x (/ y (+ y 1.0))) (* x (/ y (+ y 1.0)))) (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (* (cbrt y) (cbrt y)) 1)) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (/ (sqrt y) 1)) (* x (/ (sqrt y) 1)) (* x (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ 1 (sqrt (+ y 1.0)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (- (log y) (log (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (/ (* (* y y) y) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (* (* (/ y (+ y 1.0)) (/ y (+ y 1.0))) (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (- y) (- (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (+ y 1.0)) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) 1) (/ (sqrt y) (+ y 1.0)) (/ (sqrt y) 1) (/ (sqrt y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) (/ 1 1) (/ y (+ y 1.0)) (/ 1 1) (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) y) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (sqrt (+ y 1.0))) (/ y 1) (/ y 1) (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ y (+ (pow y 3) (pow 1.0 3))) (/ y (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ (* 1.0 (pow y 3)) (* 1.0 y)) (* 1.0 (pow y 2))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (/ 1 (pow y 2))) 1) (* 1.0 (/ 1 y))) 0.353 * * [simplify]: iteration 0 : 297 enodes (cost 378 ) 0.359 * * [simplify]: iteration 1 : 1341 enodes (cost 340 ) 0.388 * * [simplify]: iteration 2 : 5002 enodes (cost 337 ) 0.390 * [simplify]: Simplified to: (* x (/ y (+ y 1.0))) (log (* x (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (log (* x (/ y (+ y 1.0)))) (exp (* x (/ y (+ y 1.0)))) (pow (* x (/ y (+ y 1.0))) 3) (pow (* x (/ y (+ y 1.0))) 3) (* (cbrt (* x (/ y (+ y 1.0)))) (cbrt (* x (/ y (+ y 1.0))))) (cbrt (* x (/ y (+ y 1.0)))) (pow (* x (/ y (+ y 1.0))) 3) (sqrt (* x (/ y (+ y 1.0)))) (sqrt (* x (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (sqrt (/ y (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt x) (/ (sqrt y) (sqrt (+ y 1.0)))) (* x (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))) (* x (sqrt (/ y (+ y 1.0)))) (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0)))) (* (* (cbrt y) (cbrt y)) x) (* (* (cbrt y) (cbrt y)) x) (* x (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* x (/ (sqrt y) (sqrt (+ y 1.0)))) (* (sqrt y) x) (* (sqrt y) x) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x x (* x y) (* x (/ y (+ (pow y 3) (pow 1.0 3)))) (* x (/ y (- (* y y) (* 1.0 1.0)))) (* (cbrt x) (/ y (+ y 1.0))) (* (sqrt x) (/ y (+ y 1.0))) (* x (/ y (+ y 1.0))) (* x y) (log (/ y (+ y 1.0))) (log (/ y (+ y 1.0))) (exp (/ y (+ y 1.0))) (pow (/ y (+ y 1.0)) 3) (* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0)))) (cbrt (/ y (+ y 1.0))) (pow (/ y (+ y 1.0)) 3) (sqrt (/ y (+ y 1.0))) (sqrt (/ y (+ y 1.0))) (- y) (- (+ y 1.0)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt y) (cbrt (+ y 1.0))) (/ (* (cbrt y) (cbrt y)) (sqrt (+ y 1.0))) (/ (cbrt y) (sqrt (+ y 1.0))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0)) (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0)) (/ (sqrt y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt y) (cbrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (/ (sqrt y) (sqrt (+ y 1.0))) (sqrt y) (/ (sqrt y) (+ y 1.0)) (sqrt y) (/ (sqrt y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))) 1 (/ y (+ y 1.0)) 1 (/ y (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) y) (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (sqrt (+ y 1.0))) y y (/ (+ y 1.0) (cbrt y)) (/ (+ y 1.0) (sqrt y)) (/ (+ y 1.0) y) (/ y (+ (pow y 3) (pow 1.0 3))) (/ y (- (* y y) (* 1.0 1.0))) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (* 1.0 (- (+ (pow y 3) y) (pow y 2))) (- 1 (- (/ 1.0 y) (/ (/ 1.0 y) y))) (- 1 (- (/ 1.0 y) (/ (/ 1.0 y) y))) 0.391 * * * [progress]: adding candidates to table 0.478 * * [progress]: iteration 3 / 4 0.478 * * * [progress]: picking best candidate 0.480 * * * * [pick]: Picked # 0.480 * * * [progress]: localizing error 0.485 * * * [progress]: generating rewritten candidates 0.485 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.492 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.502 * * * [progress]: generating series expansions 0.502 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.503 * [approximate]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in (y x) around 0 0.503 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in x 0.503 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (* x y) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in y 0.503 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 1.0 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 0.504 * [taylor]: Taking taylor expansion of (/ (+ y 1.0) (* x y)) in y 0.504 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of 1.0 in y 0.504 * [taylor]: Taking taylor expansion of (* x y) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 0 in x 0.512 * [taylor]: Taking taylor expansion of 0 in x 0.513 * [approximate]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in (y x) around 0 0.513 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 1.0 in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of 1.0 in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.514 * [taylor]: Taking taylor expansion of 0 in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of 0 in x 0.523 * [taylor]: Taking taylor expansion of 0 in x 0.524 * [approximate]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in (y x) around 0 0.524 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.525 * [taylor]: Taking taylor expansion of 1.0 in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.525 * [taylor]: Taking taylor expansion of 1.0 in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of y in y 0.526 * [taylor]: Taking taylor expansion of 0 in x 0.528 * [taylor]: Taking taylor expansion of (- x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of 0 in x 0.537 * [taylor]: Taking taylor expansion of 0 in x 0.538 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.538 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (y x) around 0 0.538 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.538 * [taylor]: Taking taylor expansion of (* x y) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of 1.0 in x 0.538 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.538 * [taylor]: Taking taylor expansion of (* x y) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of 1.0 in y 0.539 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.539 * [taylor]: Taking taylor expansion of (* x y) in y 0.539 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of 1.0 in y 0.540 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (- (* 1.0 x)) in x 0.542 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.547 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (y x) around 0 0.547 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.547 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.548 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.548 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of 1.0 in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.550 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of 1.0 in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (y x) around 0 0.560 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.560 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.560 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.561 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.561 * [taylor]: Taking taylor expansion of 1.0 in y 0.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.564 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.564 * [taylor]: Taking taylor expansion of x in y 0.564 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.564 * [taylor]: Taking taylor expansion of 1.0 in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.567 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.570 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 x))) in x 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.575 * * * [progress]: simplifying candidates 0.577 * [simplify]: Simplifying using # : (- (log (+ y 1.0)) (+ (log x) (log y))) (- (log (+ y 1.0)) (log (* x y))) (log (/ (+ y 1.0) (* x y))) (exp (/ (+ y 1.0) (* x y))) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x x) x) (* (* y y) y))) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y)))) (cbrt (/ (+ y 1.0) (* x y))) (* (* (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y))) (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (- (+ y 1.0)) (- (* x y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x) (/ (cbrt (+ y 1.0)) y) (/ (sqrt (+ y 1.0)) x) (/ (sqrt (+ y 1.0)) y) (/ 1 x) (/ (+ y 1.0) y) (/ 1 x) (/ (+ y 1.0) y) (/ 1 (* x y)) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) x) (/ (* x y) (cbrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0)) (* (* x y) (+ (* y y) (- (* 1.0 1.0) (* y 1.0)))) (* (* x y) (- y 1.0)) (- 1) (- (- (log (+ y 1.0)) (+ (log x) (log y)))) (- (- (log (+ y 1.0)) (log (* x y)))) (- (log (/ (+ y 1.0) (* x y)))) (- 0 (- (log (+ y 1.0)) (+ (log x) (log y)))) (- 0 (- (log (+ y 1.0)) (log (* x y)))) (- 0 (log (/ (+ y 1.0) (* x y)))) (- (log 1) (- (log (+ y 1.0)) (+ (log x) (log y)))) (- (log 1) (- (log (+ y 1.0)) (log (* x y)))) (- (log 1) (log (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (exp (/ 1 (/ (+ y 1.0) (* x y)))) (/ (* (* 1 1) 1) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x x) x) (* (* y y) y)))) (/ (* (* 1 1) 1) (/ (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)) (* (* (* x y) (* x y)) (* x y)))) (/ (* (* 1 1) 1) (* (* (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y))) (/ (+ y 1.0) (* x y)))) (* (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (cbrt (/ 1 (/ (+ y 1.0) (* x y))))) (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (* (* (/ 1 (/ (+ y 1.0) (* x y))) (/ 1 (/ (+ y 1.0) (* x y)))) (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (- (/ (+ y 1.0) (* x y))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ (cbrt 1) (cbrt (/ (+ y 1.0) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y 1.0) (* x y)))) (/ (cbrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ (cbrt 1) (/ (cbrt (+ y 1.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y 1.0)) x)) (/ (cbrt 1) (/ (sqrt (+ y 1.0)) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ (+ y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 x)) (/ (cbrt 1) (/ (+ y 1.0) y)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y 1.0) (* x y))) (/ (* (cbrt 1) (cbrt 1)) (+ y 1.0)) (/ (cbrt 1) (/ 1 (* x y))) (/ (sqrt 1) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ (sqrt 1) (cbrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (sqrt (/ (+ y 1.0) (* x y)))) (/ (sqrt 1) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ (sqrt 1) (/ (cbrt (+ y 1.0)) y)) (/ (sqrt 1) (/ (sqrt (+ y 1.0)) x)) (/ (sqrt 1) (/ (sqrt (+ y 1.0)) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ (+ y 1.0) y)) (/ (sqrt 1) (/ 1 x)) (/ (sqrt 1) (/ (+ y 1.0) y)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y 1.0) (* x y))) (/ (sqrt 1) (+ y 1.0)) (/ (sqrt 1) (/ 1 (* x y))) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ 1 (/ (sqrt (+ y 1.0)) x)) (/ 1 (/ (sqrt (+ y 1.0)) y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y 1.0) y)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y 1.0) y)) (/ 1 1) (/ 1 (/ (+ y 1.0) (* x y))) (/ 1 (+ y 1.0)) (/ 1 (/ 1 (* x y))) (/ 1 (/ (+ y 1.0) (* x y))) (/ (/ (+ y 1.0) (* x y)) 1) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x)) (/ 1 (/ (sqrt (+ y 1.0)) x)) (/ 1 (/ 1 x)) (/ 1 (/ 1 x)) (/ 1 1) (/ 1 (+ y 1.0)) (/ (/ (+ y 1.0) (* x y)) (cbrt 1)) (/ (/ (+ y 1.0) (* x y)) (sqrt 1)) (/ (/ (+ y 1.0) (* x y)) 1) (/ 1 (+ y 1.0)) (+ (* 1.0 (/ 1 (* x y))) (/ 1 x)) (+ (/ 1 x) (* 1.0 (/ 1 (* x y)))) (+ (/ 1 x) (* 1.0 (/ 1 (* x y)))) (- (+ (* 1.0 (* x y)) (* 1.0 (* x (pow y 3)))) (* 1.0 (* x (pow y 2)))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) (- (+ x (* 1.0 (/ x (pow y 2)))) (* 1.0 (/ x y))) 0.582 * * [simplify]: iteration 0 : 368 enodes (cost 575 ) 0.590 * * [simplify]: iteration 1 : 1825 enodes (cost 490 ) 0.621 * * [simplify]: iteration 2 : 5001 enodes (cost 439 ) 0.625 * [simplify]: Simplified to: (log (/ (+ y 1.0) (* x y))) (log (/ (+ y 1.0) (* x y))) (log (/ (+ y 1.0) (* x y))) (exp (/ (+ y 1.0) (* x y))) (pow (/ (+ y 1.0) (* x y)) 3) (pow (/ (+ y 1.0) (* x y)) 3) (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y)))) (cbrt (/ (+ y 1.0) (* x y))) (pow (/ (+ y 1.0) (* x y)) 3) (sqrt (/ (+ y 1.0) (* x y))) (sqrt (/ (+ y 1.0) (* x y))) (- (+ y 1.0)) (- (* x y)) (/ (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) x) (/ (cbrt (+ y 1.0)) y) (/ (sqrt (+ y 1.0)) x) (/ (sqrt (+ y 1.0)) y) (/ 1 x) (/ (+ y 1.0) y) (/ 1 x) (/ (+ y 1.0) y) (/ 1 (* x y)) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) x) (/ (* x y) (cbrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (+ y 1.0)) (/ (* x y) (+ y 1.0)) (* (+ (* 1.0 (- 1.0 y)) (pow y 2)) (* x y)) (* (* x y) (- y 1.0)) (- 1) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (log (/ 1 (/ (+ y 1.0) (* x y)))) (pow (exp (/ x (+ y 1.0))) y) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (pow (/ (* x y) (+ y 1.0)) 3) (* (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (cbrt (/ 1 (/ (+ y 1.0) (* x y))))) (cbrt (/ 1 (/ (+ y 1.0) (* x y)))) (pow (/ (* x y) (+ y 1.0)) 3) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (sqrt (/ 1 (/ (+ y 1.0) (* x y)))) (- 1) (- (/ (+ y 1.0) (* x y))) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (cbrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (/ (cbrt (+ y 1.0)) y)) (/ x (sqrt (+ y 1.0))) (/ 1 (/ (sqrt (+ y 1.0)) y)) x (/ y (+ y 1.0)) x (/ y (+ y 1.0)) 1 (/ (* x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (* x y) (/ (* x y) (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ 1 (* (cbrt (/ (+ y 1.0) (* x y))) (cbrt (/ (+ y 1.0) (* x y))))) (/ 1 (sqrt (/ (+ y 1.0) (* x y)))) (/ x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ x (sqrt (+ y 1.0))) x x 1 (/ 1 (+ y 1.0)) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y)) (/ (+ y 1.0) (* x y)) (/ 1 (+ y 1.0)) (+ (* 1.0 (/ 1 (* x y))) (/ 1 x)) (+ (* 1.0 (/ 1 (* x y))) (/ 1 x)) (+ (* 1.0 (/ 1 (* x y))) (/ 1 x)) (* 1.0 (- (* x (+ y (pow y 3))) (* x (pow y 2)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) (+ x (* 1.0 (- (/ x (pow y 2)) (/ x y)))) 0.625 * * * [progress]: adding candidates to table 0.699 * [progress]: [Phase 3 of 3] Extracting. 0.699 * * [regime]: Finding splitpoints for: (# # #) 0.699 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* x y) (+ y 1.0)) y x) 0.699 * * * * [regimes]: Trying to branch on (/ (* x y) (+ y 1.0)) from (# # #) 0.711 * * * * [regimes]: Trying to branch on y from (# # #) 0.722 * * * * [regimes]: Trying to branch on x from (# # #) 0.736 * * * [regime]: Found split indices: #