11.415 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.013 * [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 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.035 * * * [progress]: generating series expansions 0.035 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) 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 (+ y 1.0) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.037 * [taylor]: Taking taylor expansion of (* x y) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.037 * [taylor]: Taking taylor expansion of (* x y) in x 0.037 * [taylor]: Taking taylor expansion of x in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.038 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.047 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 1.0 in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.049 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.049 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of 1.0 in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.050 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of 1.0 in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.051 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.051 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.062 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.062 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.062 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.062 * [taylor]: Taking taylor expansion of x in y 0.062 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.062 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.065 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.065 * [taylor]: Taking taylor expansion of x in x 0.065 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.065 * [taylor]: Taking taylor expansion of 1.0 in x 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.066 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.066 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of 1.0 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 y in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.067 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.068 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.068 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.084 * * * [progress]: simplifying candidates 0.085 * [simplify]: Simplifying using # : (expm1 (/ (* x y) (+ y 1.0))) (log1p (/ (* x y) (+ y 1.0))) (- (+ (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))) 0.089 * * [simplify]: iteration 0 : 200 enodes (cost 154 ) 0.094 * * [simplify]: iteration 1 : 910 enodes (cost 129 ) 0.114 * * [simplify]: iteration 2 : 4740 enodes (cost 126 ) 0.216 * * [simplify]: iteration 3 : 5001 enodes (cost 124 ) 0.217 * [simplify]: Simplified to: (expm1 (/ (* x y) (+ y 1.0))) (log1p (/ (* 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))) (- (* 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)))) (fma (/ x y) (- (/ 1.0 y) 1.0) x) (fma (/ x y) (- (/ 1.0 y) 1.0) x) 0.217 * * * [progress]: adding candidates to table 0.268 * * [progress]: iteration 2 / 4 0.268 * * * [progress]: picking best candidate 0.270 * * * * [pick]: Picked # 0.270 * * * [progress]: localizing error 0.275 * * * [progress]: generating rewritten candidates 0.275 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.292 * * * [progress]: generating series expansions 0.292 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.292 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.292 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.292 * [taylor]: Taking taylor expansion of (* x y) in y 0.292 * [taylor]: Taking taylor expansion of x in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.293 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (* x y) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.294 * [taylor]: Taking taylor expansion of (* x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of 1.0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.303 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 1.0 in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.305 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.306 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.307 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.307 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.307 * [taylor]: Taking taylor expansion of 1.0 in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 1 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.319 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.319 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.319 * [taylor]: Taking taylor expansion of x in y 0.319 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.319 * [taylor]: Taking taylor expansion of 1.0 in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.321 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.323 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.323 * [taylor]: Taking taylor expansion of 1.0 in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.324 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.324 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.340 * * * [progress]: simplifying candidates 0.341 * [simplify]: Simplifying using # : (expm1 (* x (/ y (+ y 1.0)))) (log1p (* x (/ y (+ y 1.0)))) (* 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) (- (+ (* 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))) 0.346 * * [simplify]: iteration 0 : 253 enodes (cost 212 ) 0.353 * * [simplify]: iteration 1 : 1169 enodes (cost 187 ) 0.380 * * [simplify]: iteration 2 : 5001 enodes (cost 184 ) 0.382 * [simplify]: Simplified to: (expm1 (* x (/ y (+ y 1.0)))) (log1p (* x (/ y (+ y 1.0)))) (* 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) (* (* 1.0 x) (+ y (- (pow y 3) (pow y 2)))) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) (fma 1.0 (- (/ x (pow y 2)) (/ x y)) x) 0.382 * * * [progress]: adding candidates to table 0.450 * * [progress]: iteration 3 / 4 0.450 * * * [progress]: picking best candidate 0.452 * * * * [pick]: Picked # 0.452 * * * [progress]: localizing error 0.459 * * * [progress]: generating rewritten candidates 0.459 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.466 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.487 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.492 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.506 * * * [progress]: generating series expansions 0.506 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.506 * [approximate]: Taking taylor expansion of (* (* x y) (sqrt (/ 1 (+ y 1.0)))) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (* (* x y) (sqrt (/ 1 (+ y 1.0)))) in y 0.506 * [taylor]: Taking taylor expansion of (* x y) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.506 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of 1.0 in y 0.511 * [taylor]: Taking taylor expansion of (* (* x y) (sqrt (/ 1 (+ y 1.0)))) in x 0.511 * [taylor]: Taking taylor expansion of (* x y) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in x 0.511 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in x 0.511 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.511 * [taylor]: Taking taylor expansion of y in x 0.511 * [taylor]: Taking taylor expansion of 1.0 in x 0.511 * [taylor]: Taking taylor expansion of (* (* x y) (sqrt (/ 1 (+ y 1.0)))) in x 0.511 * [taylor]: Taking taylor expansion of (* x y) in x 0.511 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in x 0.512 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [taylor]: Taking taylor expansion of (* y (sqrt (/ 1 (+ y 1.0)))) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ y 1.0))) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.513 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of 1.0 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.539 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [approximate]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in (x y) around 0 0.580 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.580 * [taylor]: Taking taylor expansion of (* x y) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of 1.0 in y 0.583 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.583 * [taylor]: Taking taylor expansion of (* x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in x 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (+ (/ 1 y) 1.0)))) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.584 * [taylor]: Taking taylor expansion of (* x y) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in x 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 y) 1.0))) (/ 1 y)) in y 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 y) 1.0))) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.585 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of 1.0 in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of 0 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [approximate]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in (x y) around 0 0.613 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.613 * [taylor]: Taking taylor expansion of (* x y) in y 0.613 * [taylor]: Taking taylor expansion of x in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.614 * [taylor]: Taking taylor expansion of 1.0 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.616 * [taylor]: Taking taylor expansion of (* x y) in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in x 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.616 * [taylor]: Taking taylor expansion of 1.0 in x 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (sqrt (/ 1 (- 1.0 (/ 1 y))))) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.617 * [taylor]: Taking taylor expansion of (* x y) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in x 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.618 * [taylor]: Taking taylor expansion of 1.0 in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 1.0 (/ 1 y)))) (/ 1 y)) in y 0.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 y)))) in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.619 * [taylor]: Taking taylor expansion of 1.0 in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.647 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.648 * [approximate]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in y 0.648 * [taylor]: Taking taylor expansion of (* x y) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of 1.0 in y 0.648 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.648 * [taylor]: Taking taylor expansion of (* x y) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ (* x y) (+ y 1.0)) in x 0.649 * [taylor]: Taking taylor expansion of (* x y) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of 1.0 in x 0.649 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 1.0 in y 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.655 * [taylor]: Taking taylor expansion of 0 in y 0.662 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in (x y) around 0 0.662 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in y 0.662 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of 1.0 in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.665 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (+ (/ 1 y) 1.0) y))) in x 0.666 * [taylor]: Taking taylor expansion of (* x (* (+ (/ 1 y) 1.0) y)) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in x 0.666 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 1.0 y) 1)) in y 0.667 * [taylor]: Taking taylor expansion of (+ (* 1.0 y) 1) in y 0.667 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.667 * [taylor]: Taking taylor expansion of 1.0 in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of 1 in y 0.669 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.678 * [approximate]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in (x y) around 0 0.678 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in y 0.678 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in y 0.679 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.679 * [taylor]: Taking taylor expansion of 1.0 in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.681 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (* x (* (- 1.0 (/ 1 y)) y))) in x 0.683 * [taylor]: Taking taylor expansion of (* x (* (- 1.0 (/ 1 y)) y)) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 y)) y) in x 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 (- (* 1.0 y) 1)) in y 0.684 * [taylor]: Taking taylor expansion of (- (* 1.0 y) 1) in y 0.684 * [taylor]: Taking taylor expansion of (* 1.0 y) in y 0.684 * [taylor]: Taking taylor expansion of 1.0 in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of 1 in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.697 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.697 * [approximate]: Taking taylor expansion of (sqrt (+ y 1.0)) in (y) around 0 0.697 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.697 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of 1.0 in y 0.699 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.699 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of 1.0 in y 0.709 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 0.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.709 * [taylor]: Taking taylor expansion of y in y 0.709 * [taylor]: Taking taylor expansion of 1.0 in y 0.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.711 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.711 * [taylor]: Taking taylor expansion of y in y 0.711 * [taylor]: Taking taylor expansion of 1.0 in y 0.718 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 0.718 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.718 * [taylor]: Taking taylor expansion of 1.0 in y 0.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.720 * [taylor]: Taking taylor expansion of 1.0 in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.728 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.729 * [approximate]: Taking taylor expansion of (sqrt (+ y 1.0)) in (y) around 0 0.729 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.729 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.729 * [taylor]: Taking taylor expansion of y in y 0.729 * [taylor]: Taking taylor expansion of 1.0 in y 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.730 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.731 * [taylor]: Taking taylor expansion of y in y 0.731 * [taylor]: Taking taylor expansion of 1.0 in y 0.740 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in (y) around 0 0.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of 1.0 in y 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of 1.0 in y 0.753 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in (y) around 0 0.753 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.753 * [taylor]: Taking taylor expansion of 1.0 in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.755 * [taylor]: Taking taylor expansion of 1.0 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.763 * * * [progress]: simplifying candidates 0.769 * [simplify]: Simplifying using # : (expm1 (/ (* x y) (sqrt (+ y 1.0)))) (log1p (/ (* x y) (sqrt (+ y 1.0)))) (- (+ (log x) (log y)) (log (sqrt (+ y 1.0)))) (- (log (* x y)) (log (sqrt (+ y 1.0)))) (log (/ (* x y) (sqrt (+ y 1.0)))) (exp (/ (* x y) (sqrt (+ y 1.0)))) (/ (* (* (* x x) x) (* (* y y) y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (* (* (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (sqrt (/ (* x y) (sqrt (+ y 1.0)))) (- (* x y)) (- (sqrt (+ y 1.0))) (/ x (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ y (cbrt (sqrt (+ y 1.0)))) (/ x (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (/ y (sqrt (cbrt (+ y 1.0)))) (/ x (sqrt (sqrt (+ y 1.0)))) (/ y (sqrt (sqrt (+ y 1.0)))) (/ x (sqrt 1)) (/ y (sqrt (+ y 1.0))) (/ x (sqrt 1)) (/ y (sqrt (+ y 1.0))) (/ x (sqrt (sqrt (+ y 1.0)))) (/ y (sqrt (sqrt (+ y 1.0)))) (/ x 1) (/ y (sqrt (+ y 1.0))) 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1.0)))) (/ (/ (* (* (* x y) (* x y)) (* x y)) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ (* (* (/ (* x y) (sqrt (+ y 1.0))) (/ (* x y) (sqrt (+ y 1.0)))) (/ (* x y) (sqrt (+ y 1.0)))) (* (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (cbrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (cbrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0))))) (cbrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (* (* (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0))) (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (sqrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (sqrt (/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))) (- (/ (* x y) (sqrt (+ y 1.0)))) (- (sqrt (+ y 1.0))) (/ (* (cbrt (/ (* x y) (sqrt (+ y 1.0)))) (cbrt (/ (* x y) (sqrt (+ y 1.0))))) (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0))))) (/ (cbrt (/ (* x y) (sqrt (+ y 1.0)))) 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(fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (fma 1/2 (/ y (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) 0.843 * * * [progress]: adding candidates to table 1.198 * [progress]: [Phase 3 of 3] Extracting. 1.198 * * [regime]: Finding splitpoints for: (# # #) 1.199 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* x y) (+ y 1.0)) y x) 1.199 * * * * [regimes]: Trying to branch on (/ (* x y) (+ y 1.0)) from (# # #) 1.215 * * * * [regimes]: Trying to branch on y from (# # #) 1.228 * * * * [regimes]: Trying to branch on x from (# # #) 1.243 * * * [regime]: Found split indices: #