17.251 * [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) (* (* x 2.0) y)) 0.016 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.018 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.020 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.021 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.023 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.023 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.023 * * [progress]: iteration 1 / 4 0.023 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.031 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.044 * * * [progress]: generating series expansions 0.044 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.044 * [taylor]: Taking taylor expansion of 0.5 in y 0.044 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.044 * [taylor]: Taking taylor expansion of (+ x y) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (* x y) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.045 * [taylor]: Taking taylor expansion of 0.5 in x 0.045 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.045 * [taylor]: Taking taylor expansion of (+ x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (* x y) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in x 0.046 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.046 * [taylor]: Taking taylor expansion of (+ x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (* x y) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of 0.5 in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.053 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.057 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.057 * [taylor]: Taking taylor expansion of 0.5 in y 0.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (* y x) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.057 * [taylor]: Taking taylor expansion of 0.5 in x 0.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* y x) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.058 * [taylor]: Taking taylor expansion of 0.5 in x 0.058 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.058 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* y x) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.060 * [taylor]: Taking taylor expansion of 0.5 in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [taylor]: Taking taylor expansion of 0 in y 0.074 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.074 * [taylor]: Taking taylor expansion of -0.5 in y 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* y x) in y 0.075 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of -0.5 in x 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* y x) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.075 * [taylor]: Taking taylor expansion of -0.5 in x 0.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (* y x) in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 0 in y 0.077 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.078 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.078 * [taylor]: Taking taylor expansion of 0.5 in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.080 * [taylor]: Taking taylor expansion of 0.5 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.097 * * * [progress]: simplifying candidates 0.097 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (- (log (+ x y)) (+ (+ (log x) (log 2.0)) (log y))) (- (log (+ x y)) (+ (log (* x 2.0)) (log y))) (- (log (+ x y)) (log (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y))) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (* (* (/ (+ x y) (* (* x 2.0) y)) (/ (+ x y) (* (* x 2.0) y))) (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (* x 2.0) y) (+ (* x x) (- (* y y) (* x y)))) (* (* (* x 2.0) y) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.101 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.107 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.129 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.130 * [simplify]: Simplified to: (expm1 (/ (+ x y) (* (* x 2.0) y))) (log1p (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (log (/ (+ x y) (* (* x 2.0) y))) (exp (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (* (cbrt (/ (+ x y) (* (* x 2.0) y))) (cbrt (/ (+ x y) (* (* x 2.0) y)))) (cbrt (/ (+ x y) (* (* x 2.0) y))) (pow (/ (+ x y) (* (* x 2.0) y)) 3) (sqrt (/ (+ x y) (* (* x 2.0) y))) (sqrt (/ (+ x y) (* (* x 2.0) y))) (- (+ x y)) (- (* (* x 2.0) y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* x 2.0)) (/ (sqrt (+ x y)) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* x 2.0)) (/ (+ x y) y) (/ 1 (* (* x 2.0) y)) (/ (* (* x 2.0) y) (+ x y)) (/ (+ x y) (* x 2.0)) (/ (* (* x 2.0) y) (cbrt (+ x y))) (/ (* (* x 2.0) y) (sqrt (+ x y))) (/ (* (* x 2.0) y) (+ x y)) (/ (* (* x 2.0) y) (+ x y)) (* (* (fma y (- y x) (* x x)) x) (* 2.0 y)) (* (* (* x 2.0) y) (- x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) 0.130 * * * [progress]: adding candidates to table 0.182 * * [progress]: iteration 2 / 4 0.182 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.193 * * * [progress]: generating rewritten candidates 0.193 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.194 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.194 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.194 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.194 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.194 * [taylor]: Taking taylor expansion of 0.5 in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.195 * [taylor]: Taking taylor expansion of 0.5 in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.195 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.195 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.195 * [taylor]: Taking taylor expansion of 0.5 in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.195 * [taylor]: Taking taylor expansion of 0.5 in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.196 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.196 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.196 * [taylor]: Taking taylor expansion of 0.5 in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.196 * [taylor]: Taking taylor expansion of 0.5 in y 0.196 * [taylor]: Taking taylor expansion of x in y 0.197 * [taylor]: Taking taylor expansion of 0.5 in x 0.198 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of 0.5 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 0 in x 0.202 * [taylor]: Taking taylor expansion of 0 in x 0.204 * [taylor]: Taking taylor expansion of 0 in x 0.205 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.205 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.205 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.205 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.205 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.205 * [taylor]: Taking taylor expansion of 0.5 in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.205 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.205 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.205 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.205 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.205 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.205 * [taylor]: Taking taylor expansion of 0.5 in y 0.205 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.206 * [taylor]: Taking taylor expansion of 0.5 in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [taylor]: Taking taylor expansion of 0 in x 0.212 * [taylor]: Taking taylor expansion of 0 in x 0.212 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.212 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.212 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.212 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.212 * [taylor]: Taking taylor expansion of 0.5 in x 0.212 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.212 * [taylor]: Taking taylor expansion of -1 in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.212 * [taylor]: Taking taylor expansion of -0.5 in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.213 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.213 * [taylor]: Taking taylor expansion of 0.5 in y 0.213 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.213 * [taylor]: Taking taylor expansion of -1 in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.213 * [taylor]: Taking taylor expansion of -0.5 in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.213 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.213 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.213 * [taylor]: Taking taylor expansion of 0.5 in y 0.213 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.213 * [taylor]: Taking taylor expansion of -1 in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.213 * [taylor]: Taking taylor expansion of -0.5 in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.214 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.214 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.216 * [taylor]: Taking taylor expansion of 0.5 in x 0.220 * [taylor]: Taking taylor expansion of 0 in x 0.223 * [taylor]: Taking taylor expansion of 0 in x 0.224 * * * [progress]: simplifying candidates 0.224 * [simplify]: Simplifying using # : (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* 0.5 (/ 1 y)) (log (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (exp (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (* (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.227 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.230 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.233 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.244 * * [simplify]: iteration 3 : 1988 enodes (cost 59 ) 0.284 * * [simplify]: iteration 4 : 5001 enodes (cost 59 ) 0.285 * [simplify]: Simplified to: (expm1 (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (log1p (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (/ 0.5 y) (log (fma (/ 0.5 y) 1 (/ 0.5 x))) (exp (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (* (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))))) (cbrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (pow (fma (/ 0.5 y) 1 (/ 0.5 x)) 3) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) 0.285 * * * [progress]: adding candidates to table 0.315 * * [progress]: iteration 3 / 4 0.315 * * * [progress]: picking best candidate 0.317 * * * * [pick]: Picked # 0.317 * * * [progress]: localizing error 0.324 * * * [progress]: generating rewritten candidates 0.324 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.351 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.363 * * * [progress]: generating series expansions 0.363 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.363 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.363 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.363 * [taylor]: Taking taylor expansion of 0.5 in y 0.363 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.363 * [taylor]: Taking taylor expansion of (+ x y) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (* x y) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.364 * [taylor]: Taking taylor expansion of 0.5 in x 0.364 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.364 * [taylor]: Taking taylor expansion of (+ x y) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (* x y) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.364 * [taylor]: Taking taylor expansion of 0.5 in x 0.364 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.364 * [taylor]: Taking taylor expansion of (+ x y) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (* x y) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of 0.5 in y 0.366 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.366 * [taylor]: Taking taylor expansion of 0.5 in y 0.366 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of 0 in y 0.371 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.379 * [taylor]: Taking taylor expansion of 0.5 in y 0.379 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.379 * [taylor]: Taking taylor expansion of 0.5 in x 0.379 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.380 * [taylor]: Taking taylor expansion of 0.5 in x 0.380 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.382 * [taylor]: Taking taylor expansion of 0.5 in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 0.5 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [approximate]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in y 0.397 * [taylor]: Taking taylor expansion of -0.5 in y 0.397 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.398 * [taylor]: Taking taylor expansion of -0.5 in x 0.398 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* -0.5 (* x (* y (+ (/ 1 y) (/ 1 x))))) in x 0.398 * [taylor]: Taking taylor expansion of -0.5 in x 0.398 * [taylor]: Taking taylor expansion of (* x (* y (+ (/ 1 y) (/ 1 x)))) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 y) (/ 1 x))) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.398 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.400 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.400 * [taylor]: Taking taylor expansion of 0.5 in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.402 * [taylor]: Taking taylor expansion of 0.5 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of 0 in y 0.417 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.417 * [approximate]: Taking taylor expansion of (/ (+ x y) y) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.417 * [taylor]: Taking taylor expansion of (+ x y) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.417 * [taylor]: Taking taylor expansion of (+ x y) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.417 * [taylor]: Taking taylor expansion of (+ x y) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of 1 in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.420 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.420 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.421 * [taylor]: Taking taylor expansion of x in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of y in y 0.423 * [taylor]: Taking taylor expansion of 1 in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.428 * [taylor]: Taking taylor expansion of x in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.431 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of 0 in y 0.434 * * * [progress]: simplifying candidates 0.435 * [simplify]: Simplifying using # : (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (+ (- (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- 0 (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- 0 (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- 0 (log (* x 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (+ (log x) (log 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (+ (log x) (log 2.0))) (log (/ (+ x y) y))) (+ (- (log 1) (log (* x 2.0))) (- (log (+ x y)) (log y))) (+ (- (log 1) (log (* x 2.0))) (log (/ (+ x y) y))) (+ (log (/ 1 (* x 2.0))) (- (log (+ x y)) (log y))) (+ (log (/ 1 (* x 2.0))) (log (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (/ (* (* 1 1) 1) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y))) (* (* (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0))) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y))) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (* (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (* 1 (+ x y)) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y)))) (* (/ 1 (* x 2.0)) (sqrt (/ (+ x y) y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) (sqrt y))) (* (/ 1 (* x 2.0)) (/ (sqrt (+ x y)) 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) (/ 1 (* (cbrt y) (cbrt y)))) (* (/ 1 (* x 2.0)) (/ 1 (sqrt y))) (* (/ 1 (* x 2.0)) (/ 1 1)) (* (/ 1 (* x 2.0)) 1) (* (/ 1 (* x 2.0)) (+ x y)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (/ (cbrt 1) 2.0) (/ (+ x y) y)) (* (/ (sqrt 1) 2.0) (/ (+ x y) y)) (* (/ 1 2.0) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (/ (+ x y) y)) (* (/ 1 (* x 2.0)) (+ x y)) (* 1 (/ (+ x y) y)) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (- (log (+ x y)) (log y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* y y) y)) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (* (* (/ (+ x y) y) (/ (+ x y) y)) (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) (/ 1 1) (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* y (+ (* x x) (- (* y y) (* x y)))) (* y (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.442 * * [simplify]: iteration 0 : 449 enodes (cost 599 ) 0.452 * * [simplify]: iteration 1 : 2372 enodes (cost 505 ) 0.488 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 0.491 * [simplify]: Simplified to: (expm1 (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log1p (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (/ (/ (+ x y) y) (* x 2.0)) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (log (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (exp (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (* (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y)))) (cbrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (pow (/ (/ (+ x y) y) (* x 2.0)) 3) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (sqrt (* (/ 1 (* x 2.0)) (/ (+ x y) y))) (+ x y) (* (* x 2.0) y) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ (+ x y) y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (* (sqrt (/ 1 (* x 2.0))) (/ (sqrt (+ x y)) (sqrt y))) (/ (/ (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) 2.0) x) (/ (/ (sqrt (/ (+ x y) y)) 2.0) x) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (* x 2.0)) (/ (/ (/ (sqrt (+ x y)) (sqrt y)) 2.0) x) (/ (sqrt (+ x y)) (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ (/ 1 (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ 1 (* x 2.0)) (/ 1 (* x 2.0)) (/ (+ x y) (* x 2.0)) (* (cbrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (* (sqrt (/ 1 (* x 2.0))) (/ (+ x y) y)) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) 2.0) (/ (/ (+ x y) y) (* x 2.0)) (/ (/ (+ x y) y) (* x 2.0)) (/ (+ x y) (* x 2.0)) (/ (+ x y) y) (expm1 (/ (+ x y) y)) (log1p (/ (+ x y) y)) (log (/ (+ x y) y)) (log (/ (+ x y) y)) (exp (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (* (cbrt (/ (+ x y) y)) (cbrt (/ (+ x y) y))) (cbrt (/ (+ x y) y)) (pow (/ (+ x y) y) 3) (sqrt (/ (+ x y) y)) (sqrt (/ (+ x y) y)) (- (+ x y)) (- y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (cbrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (sqrt y)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (sqrt y)) (sqrt (+ x y)) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (cbrt y)) (/ 1 (sqrt y)) (/ (+ x y) (sqrt y)) 1 (/ (+ x y) y) (/ 1 y) (/ y (+ x y)) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ y (cbrt (+ x y))) (/ y (sqrt (+ x y))) (/ y (+ x y)) (/ y (+ x y)) (* (fma x x (- (* y y) (* x y))) y) (* y (- x y)) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x))) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.492 * * * [progress]: adding candidates to table 0.639 * * [progress]: iteration 4 / 4 0.639 * * * [progress]: picking best candidate 0.640 * * * * [pick]: Picked # 0.640 * * * [progress]: localizing error 0.646 * * * [progress]: generating rewritten candidates 0.646 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.658 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.670 * * * [progress]: generating series expansions 0.670 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.670 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.670 * [taylor]: Taking taylor expansion of 0.5 in y 0.670 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.670 * [taylor]: Taking taylor expansion of (+ x y) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of (* x y) in y 0.670 * [taylor]: Taking taylor expansion of x in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.671 * [taylor]: Taking taylor expansion of 0.5 in x 0.671 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.671 * [taylor]: Taking taylor expansion of (+ x y) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (* x y) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.671 * [taylor]: Taking taylor expansion of 0.5 in x 0.671 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.671 * [taylor]: Taking taylor expansion of (+ x y) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of (* x y) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of 0.5 in y 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.676 * [taylor]: Taking taylor expansion of 0.5 in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.679 * [taylor]: Taking taylor expansion of 0 in y 0.681 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.685 * [taylor]: Taking taylor expansion of 0.5 in y 0.685 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.685 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (* y x) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.686 * [taylor]: Taking taylor expansion of 0.5 in x 0.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (* y x) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.686 * [taylor]: Taking taylor expansion of 0.5 in x 0.686 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (* y x) in x 0.687 * [taylor]: Taking taylor expansion of y in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.689 * [taylor]: Taking taylor expansion of 0.5 in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of 0.5 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.702 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.702 * [taylor]: Taking taylor expansion of -0.5 in y 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.702 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of (* y x) in y 0.702 * [taylor]: Taking taylor expansion of y in y 0.702 * [taylor]: Taking taylor expansion of x in y 0.702 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.702 * [taylor]: Taking taylor expansion of -0.5 in x 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.702 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.702 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (* y x) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.703 * [taylor]: Taking taylor expansion of -0.5 in x 0.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (* y x) in x 0.703 * [taylor]: Taking taylor expansion of y in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.705 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.705 * [taylor]: Taking taylor expansion of 0.5 in y 0.705 * [taylor]: Taking taylor expansion of y in y 0.707 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.707 * [taylor]: Taking taylor expansion of 0.5 in y 0.710 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.720 * [taylor]: Taking taylor expansion of 0 in y 0.721 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.721 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.721 * [taylor]: Taking taylor expansion of 0.5 in y 0.721 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.721 * [taylor]: Taking taylor expansion of (+ x y) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.721 * [taylor]: Taking taylor expansion of 0.5 in x 0.721 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.721 * [taylor]: Taking taylor expansion of (+ x y) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.721 * [taylor]: Taking taylor expansion of 0.5 in x 0.721 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.721 * [taylor]: Taking taylor expansion of (+ x y) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.721 * [taylor]: Taking taylor expansion of 0.5 in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of 0.5 in y 0.725 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [taylor]: Taking taylor expansion of 0 in y 0.728 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.728 * [taylor]: Taking taylor expansion of 0.5 in y 0.728 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of x in y 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.728 * [taylor]: Taking taylor expansion of 0.5 in x 0.728 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.729 * [taylor]: Taking taylor expansion of 0.5 in x 0.729 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.729 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.729 * [taylor]: Taking taylor expansion of y in x 0.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.732 * [taylor]: Taking taylor expansion of 0.5 in y 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.733 * [taylor]: Taking taylor expansion of 0.5 in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.736 * [taylor]: Taking taylor expansion of 0 in y 0.739 * [taylor]: Taking taylor expansion of 0 in y 0.741 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.741 * [taylor]: Taking taylor expansion of 0.5 in y 0.741 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.741 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of x in y 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.741 * [taylor]: Taking taylor expansion of 0.5 in x 0.741 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.741 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.741 * [taylor]: Taking taylor expansion of 0.5 in x 0.741 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.744 * [taylor]: Taking taylor expansion of 0.5 in y 0.746 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.746 * [taylor]: Taking taylor expansion of 0.5 in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of 0 in y 0.752 * [taylor]: Taking taylor expansion of 0 in y 0.754 * * * [progress]: simplifying candidates 0.755 * [simplify]: Simplifying using # : (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (- (- (log (+ x y)) (+ (log x) (log 2.0))) (log y)) (- (- (log (+ x y)) (log (* x 2.0))) (log y)) (- (log (/ (+ x y) (* x 2.0))) (log y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (* (* y y) y)) (/ (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (* y y) y)) (/ (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (* (* y y) y)) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (* (* (/ (/ (+ x y) (* x 2.0)) y) (/ (/ (+ x y) (* x 2.0)) y)) (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) 1) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) 1) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (/ (sqrt (+ x y)) x) 1) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ (/ 1 x) 1) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ 1 1) (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (/ (+ x y) 1) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (/ (+ x y) (* x 2.0)) 1) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (/ y (/ 1 (* x 2.0))) (* y (* x 2.0)) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (- (log (+ x y)) (+ (log x) (log 2.0))) (- (log (+ x y)) (log (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x x) x) (* (* 2.0 2.0) 2.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* x 2.0) (* x 2.0)) (* x 2.0))) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (* (* (/ (+ x y) (* x 2.0)) (/ (+ x y) (* x 2.0))) (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* x 2.0) (+ (* x x) (- (* y y) (* x y)))) (* (* x 2.0) (- x y)) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) (+ (* 0.5 (/ y x)) 0.5) 0.765 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 0.773 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 0.799 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 0.802 * [simplify]: Simplified to: (expm1 (/ (/ (+ x y) (* x 2.0)) y)) (log1p (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (log (/ (/ (+ x y) (* x 2.0)) y)) (exp (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (* (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (cbrt (/ (/ (+ x y) (* x 2.0)) y))) (cbrt (/ (/ (+ x y) (* x 2.0)) y)) (pow (/ (/ (+ x y) (* x 2.0)) y) 3) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (sqrt (/ (/ (+ x y) (* x 2.0)) y)) (- (/ (+ x y) (* x 2.0))) (- y) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (* (cbrt y) (cbrt y))) (/ (cbrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (sqrt y)) (/ (cbrt (/ (+ x y) (* x 2.0))) (sqrt y)) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (/ (cbrt (/ (+ x y) (* x 2.0))) y) (/ (sqrt (/ (+ x y) (* x 2.0))) (* (cbrt y) (cbrt y))) (/ (sqrt (/ (+ x y) (* x 2.0))) (cbrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (/ (sqrt (/ (+ x y) (* x 2.0))) (sqrt y)) (sqrt (/ (+ x y) (* x 2.0))) (/ (sqrt (/ (+ x y) (* x 2.0))) y) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y))) (/ (/ (cbrt (+ x y)) 2.0) (cbrt y)) (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (sqrt y)) (/ (/ (cbrt (+ x y)) 2.0) (sqrt y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (/ (cbrt (+ x y)) 2.0) y) (/ (/ (sqrt (+ x y)) x) (* (cbrt y) (cbrt y))) (/ (/ (sqrt (+ x y)) 2.0) (cbrt y)) (/ (/ (sqrt (+ x y)) x) (sqrt y)) (/ (/ (sqrt (+ x y)) 2.0) (sqrt y)) (/ (sqrt (+ x y)) x) (/ (/ (sqrt (+ x y)) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ (/ 1 x) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) 2.0) (cbrt y)) (/ (/ 1 x) (sqrt y)) (/ (/ (+ x y) 2.0) (sqrt y)) (/ 1 x) (/ (/ (+ x y) 2.0) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (cbrt y)) (/ 1 (sqrt y)) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) 1 (/ (/ (+ x y) (* x 2.0)) y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (/ 1 (* x 2.0)) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (/ 1 (* x 2.0)) (sqrt y)) (+ x y) (/ (/ 1 (* x 2.0)) y) (/ 1 y) (/ y (/ (+ x y) (* x 2.0))) (/ (/ (+ x y) (* x 2.0)) (* (cbrt y) (cbrt y))) (/ (/ (+ x y) (* x 2.0)) (sqrt y)) (/ (+ x y) (* x 2.0)) (/ y (cbrt (/ (+ x y) (* x 2.0)))) (/ y (sqrt (/ (+ x y) (* x 2.0)))) (/ y (/ (cbrt (+ x y)) 2.0)) (/ y (/ (sqrt (+ x y)) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) 2.0)) (/ y (/ (+ x y) (* x 2.0))) (* y (* x 2.0)) (* y (* x 2.0)) (expm1 (/ (+ x y) (* x 2.0))) (log1p (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (log (/ (+ x y) (* x 2.0))) (exp (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (pow (/ (+ x y) (* x 2.0)) 3) (* (cbrt (/ (+ x y) (* x 2.0))) (cbrt (/ (+ x y) (* x 2.0)))) (cbrt (/ (+ x y) (* x 2.0))) (pow (/ (+ x y) (* x 2.0)) 3) (sqrt (/ (+ x y) (* x 2.0))) (sqrt (/ (+ x y) (* x 2.0))) (- (+ x y)) (- (* x 2.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (/ (cbrt (+ x y)) 2.0) (/ (sqrt (+ x y)) x) (/ (sqrt (+ x y)) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 x) (/ (+ x y) 2.0) (/ 1 (* x 2.0)) (/ (* x 2.0) (+ x y)) (/ (+ x y) x) (/ (* x 2.0) (cbrt (+ x y))) (/ (* x 2.0) (sqrt (+ x y))) (/ (* x 2.0) (+ x y)) (/ (* x 2.0) (+ x y)) (* (* (fma y (- y x) (* x x)) 2.0) x) (* (* x 2.0) (- x y)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ 1 y) (/ 0.5 x)) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) 0.802 * * * [progress]: adding candidates to table 0.942 * [progress]: [Phase 3 of 3] Extracting. 0.942 * * [regime]: Finding splitpoints for: (# # #) 0.943 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.943 * * * * [regimes]: Trying to branch on y from (# # #) 0.958 * * * * [regimes]: Trying to branch on x from (# # #) 0.971 * * * [regime]: Found split indices: #