13.226 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [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 ) 0.019 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.020 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.022 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.022 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.024 * * * * [pick]: Picked # 0.024 * * * [progress]: localizing error 0.029 * * * [progress]: generating rewritten candidates 0.029 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [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 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (* x y) in y 0.044 * [taylor]: Taking taylor expansion of x in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.044 * [taylor]: Taking taylor expansion of 0.5 in x 0.044 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.044 * [taylor]: Taking taylor expansion of (+ x y) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [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 (* 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 in y 0.047 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of 0.5 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.056 * [taylor]: Taking taylor expansion of 0.5 in y 0.056 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (* y x) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.056 * [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 0.057 * [taylor]: Taking taylor expansion of (* y x) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of x in x 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 0.057 * [taylor]: Taking taylor expansion of (* y x) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.059 * [taylor]: Taking taylor expansion of 0.5 in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of 0.5 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.073 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.073 * [taylor]: Taking taylor expansion of -0.5 in y 0.073 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.073 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* y x) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.074 * [taylor]: Taking taylor expansion of -0.5 in x 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* y x) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.074 * [taylor]: Taking taylor expansion of -0.5 in x 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.074 * [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 in y 0.076 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.077 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.077 * [taylor]: Taking taylor expansion of 0.5 in y 0.077 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.079 * [taylor]: Taking taylor expansion of 0.5 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * [progress]: simplifying candidates 0.096 * [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))) 0.100 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.105 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.127 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.129 * [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))) 0.129 * * * [progress]: adding candidates to table 0.178 * * [progress]: iteration 2 / 4 0.178 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.188 * * * [progress]: generating rewritten candidates 0.188 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.189 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3) 0.198 * * * [progress]: generating series expansions 0.199 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.199 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.199 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 0.199 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.199 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.199 * [taylor]: Taking taylor expansion of 0.5 in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.200 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.200 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.200 * [taylor]: Taking taylor expansion of 0.5 in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in x 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 0.5 in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of 0 in x 0.206 * [taylor]: Taking taylor expansion of 0 in x 0.209 * [taylor]: Taking taylor expansion of 0 in x 0.209 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.209 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.209 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.209 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.209 * [taylor]: Taking taylor expansion of 0.5 in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.209 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.209 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.209 * [taylor]: Taking taylor expansion of 0.5 in y 0.209 * [taylor]: Taking taylor expansion of x in y 0.209 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.210 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.210 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.210 * [taylor]: Taking taylor expansion of 0.5 in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.210 * [taylor]: Taking taylor expansion of 0.5 in y 0.210 * [taylor]: Taking taylor expansion of x in y 0.210 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.212 * [taylor]: Taking taylor expansion of 0.5 in x 0.214 * [taylor]: Taking taylor expansion of 0 in x 0.216 * [taylor]: Taking taylor expansion of 0 in x 0.216 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.216 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.216 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.216 * [taylor]: Taking taylor expansion of 0.5 in x 0.216 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.216 * [taylor]: Taking taylor expansion of -1 in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.216 * [taylor]: Taking taylor expansion of -0.5 in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.217 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.217 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.217 * [taylor]: Taking taylor expansion of 0.5 in y 0.217 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.217 * [taylor]: Taking taylor expansion of -1 in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.217 * [taylor]: Taking taylor expansion of -0.5 in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.217 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.217 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.217 * [taylor]: Taking taylor expansion of 0.5 in y 0.217 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.217 * [taylor]: Taking taylor expansion of -1 in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.217 * [taylor]: Taking taylor expansion of -0.5 in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.218 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.218 * [taylor]: Taking taylor expansion of 0.5 in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.220 * [taylor]: Taking taylor expansion of 0.5 in x 0.224 * [taylor]: Taking taylor expansion of 0 in x 0.227 * [taylor]: Taking taylor expansion of 0 in x 0.228 * * * * [progress]: [ 2 / 2 ] generating series at (2 3) 0.228 * [approximate]: Taking taylor expansion of (/ 0.5 x) in (x) around 0 0.228 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.228 * [taylor]: Taking taylor expansion of 0.5 in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.228 * [taylor]: Taking taylor expansion of 0.5 in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.232 * [approximate]: Taking taylor expansion of (* 0.5 x) in (x) around 0 0.232 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.232 * [taylor]: Taking taylor expansion of 0.5 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.232 * [taylor]: Taking taylor expansion of 0.5 in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (* -0.5 x) in (x) around 0 0.238 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.238 * [taylor]: Taking taylor expansion of -0.5 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [taylor]: Taking taylor expansion of (* -0.5 x) in x 0.238 * [taylor]: Taking taylor expansion of -0.5 in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.244 * * * [progress]: simplifying candidates 0.247 * [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)))) (expm1 (* 0.5 (/ 1 x))) (log1p (* 0.5 (/ 1 x))) (* 0.5 (/ 1 x)) (+ (log 0.5) (- (log x))) (+ (log 0.5) (- 0 (log x))) (+ (log 0.5) (- (log 1) (log x))) (+ (log 0.5) (log (/ 1 x))) (log (* 0.5 (/ 1 x))) (exp (* 0.5 (/ 1 x))) (* (* (* 0.5 0.5) 0.5) (/ (* (* 1 1) 1) (* (* x x) x))) (* (* (* 0.5 0.5) 0.5) (* (* (/ 1 x) (/ 1 x)) (/ 1 x))) (* (cbrt (* 0.5 (/ 1 x))) (cbrt (* 0.5 (/ 1 x)))) (cbrt (* 0.5 (/ 1 x))) (* (* (* 0.5 (/ 1 x)) (* 0.5 (/ 1 x))) (* 0.5 (/ 1 x))) (sqrt (* 0.5 (/ 1 x))) (sqrt (* 0.5 (/ 1 x))) (* (sqrt 0.5) (sqrt (/ 1 x))) (* (sqrt 0.5) (sqrt (/ 1 x))) (* (sqrt 0.5) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.5) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.5) (/ 1 (sqrt x))) (* (sqrt 0.5) (/ 1 (sqrt x))) (* 0.5 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.5 (sqrt (/ 1 x))) (* 0.5 (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)))) (* 0.5 (/ (* (cbrt 1) (cbrt 1)) (sqrt x))) (* 0.5 (/ (* (cbrt 1) (cbrt 1)) 1)) (* 0.5 (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* 0.5 (/ (sqrt 1) (sqrt x))) (* 0.5 (/ (sqrt 1) 1)) (* 0.5 (/ 1 (* (cbrt x) (cbrt x)))) (* 0.5 (/ 1 (sqrt x))) (* 0.5 (/ 1 1)) (* 0.5 1) (* 0.5 1) (* (cbrt 0.5) (/ 1 x)) (* (sqrt 0.5) (/ 1 x)) (* 0.5 (/ 1 x)) (* 0.5 1) (+ (* 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 x) (/ 0.5 x) (/ 0.5 x) 0.252 * * [simplify]: iteration 0 : 196 enodes (cost 214 ) 0.256 * * [simplify]: iteration 1 : 815 enodes (cost 180 ) 0.272 * * [simplify]: iteration 2 : 3150 enodes (cost 160 ) 0.300 * * [simplify]: iteration 3 : 5002 enodes (cost 160 ) 0.301 * [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 (+ (/ 0.5 x) (/ 0.5 y))) (exp (+ (/ 0.5 x) (/ 0.5 y))) (* (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 (+ (/ 0.5 x) (/ 0.5 y)) 3) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (sqrt (fma 0.5 (/ 1 y) (* 0.5 (/ 1 x)))) (expm1 (* 0.5 (/ 1 x))) (log1p (* 0.5 (/ 1 x))) (/ 0.5 x) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (exp (* 0.5 (/ 1 x))) (pow (/ 0.5 x) 3) (pow (/ 0.5 x) 3) (* (cbrt (* 0.5 (/ 1 x))) (cbrt (* 0.5 (/ 1 x)))) (cbrt (* 0.5 (/ 1 x))) (pow (/ 0.5 x) 3) (sqrt (* 0.5 (/ 1 x))) (sqrt (* 0.5 (/ 1 x))) (* (sqrt 0.5) (sqrt (/ 1 x))) (* (sqrt 0.5) (sqrt (/ 1 x))) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (* 0.5 (* (cbrt (/ 1 x)) (cbrt (/ 1 x)))) (* 0.5 (sqrt (/ 1 x))) (/ 0.5 (* (cbrt x) (cbrt x))) (/ 0.5 (sqrt x)) 0.5 (/ 0.5 (* (cbrt x) (cbrt x))) (/ 0.5 (sqrt x)) 0.5 (/ 0.5 (* (cbrt x) (cbrt x))) (/ 0.5 (sqrt x)) 0.5 0.5 0.5 (/ (cbrt 0.5) x) (/ (sqrt 0.5) x) (/ 0.5 x) 0.5 (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (+ (/ 0.5 x) (/ 0.5 y)) (/ 0.5 x) (/ 0.5 x) (/ 0.5 x) 0.302 * * * [progress]: adding candidates to table 0.398 * * [progress]: iteration 3 / 4 0.398 * * * [progress]: picking best candidate 0.401 * * * * [pick]: Picked # 0.401 * * * [progress]: localizing error 0.409 * * * [progress]: generating rewritten candidates 0.409 * * * * [progress]: [ 1 / 3 ] rewriting at (2 3 2) 0.413 * * * * [progress]: [ 2 / 3 ] rewriting at (2 3) 0.426 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.430 * * * [progress]: generating series expansions 0.430 * * * * [progress]: [ 1 / 3 ] generating series at (2 3 2) 0.431 * [approximate]: Taking taylor expansion of (/ (sqrt 0.5) x) in (x) around 0 0.431 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) x) in x 0.431 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.431 * [taylor]: Taking taylor expansion of 0.5 in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ (sqrt 0.5) x) in x 0.432 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.432 * [taylor]: Taking taylor expansion of 0.5 in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.442 * [approximate]: Taking taylor expansion of (* x (sqrt 0.5)) in (x) around 0 0.442 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.442 * [taylor]: Taking taylor expansion of 0.5 in x 0.443 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.443 * [taylor]: Taking taylor expansion of 0.5 in x 0.455 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt 0.5))) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 0.5))) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.455 * [taylor]: Taking taylor expansion of 0.5 in x 0.455 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt 0.5))) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of (* x (sqrt 0.5)) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.455 * [taylor]: Taking taylor expansion of 0.5 in x 0.477 * * * * [progress]: [ 2 / 3 ] generating series at (2 3) 0.478 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) x) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) x) in x 0.478 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.478 * [taylor]: Taking taylor expansion of 0.5 in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) x) in x 0.481 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.481 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.481 * [taylor]: Taking taylor expansion of 0.5 in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.496 * [approximate]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in (x) around 0 0.496 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.496 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.496 * [taylor]: Taking taylor expansion of 0.5 in x 0.497 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.497 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.497 * [taylor]: Taking taylor expansion of 0.5 in x 0.518 * [approximate]: Taking taylor expansion of (* -1 (* x (pow (sqrt 0.5) 2))) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (sqrt 0.5) 2))) in x 0.518 * [taylor]: Taking taylor expansion of -1 in x 0.518 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.518 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.519 * [taylor]: Taking taylor expansion of 0.5 in x 0.519 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (sqrt 0.5) 2))) in x 0.519 * [taylor]: Taking taylor expansion of -1 in x 0.519 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.519 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.519 * [taylor]: Taking taylor expansion of 0.5 in x 0.550 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.551 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x)) in (y x) around 0 0.551 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x)) in x 0.551 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ (pow (sqrt 0.5) 2) x)) 0.551 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.551 * [taylor]: Taking taylor expansion of 0.5 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) x) in x 0.551 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.551 * [taylor]: Taking taylor expansion of 0.5 in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x)) in y 0.554 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ (pow (sqrt 0.5) 2) x)) 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.554 * [taylor]: Taking taylor expansion of 0.5 in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) x) in y 0.554 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.554 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.554 * [taylor]: Taking taylor expansion of 0.5 in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.556 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x)) in y 0.556 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ (pow (sqrt 0.5) 2) x)) 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.556 * [taylor]: Taking taylor expansion of 0.5 in y 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) x) in y 0.557 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.557 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.557 * [taylor]: Taking taylor expansion of 0.5 in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of 0.5 in x 0.561 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 0.5) 2) x) in x 0.561 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.561 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.561 * [taylor]: Taking taylor expansion of 0.5 in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 0 in x 0.571 * [taylor]: Taking taylor expansion of 0 in x 0.576 * [taylor]: Taking taylor expansion of 0 in x 0.577 * [approximate]: Taking taylor expansion of (fma 0.5 y (* x (pow (sqrt 0.5) 2))) in (y x) around 0 0.577 * [taylor]: Taking taylor expansion of (fma 0.5 y (* x (pow (sqrt 0.5) 2))) in x 0.577 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* x (pow (sqrt 0.5) 2))) 0.577 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.577 * [taylor]: Taking taylor expansion of 0.5 in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.578 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.578 * [taylor]: Taking taylor expansion of 0.5 in x 0.578 * [taylor]: Taking taylor expansion of (fma 0.5 y (* x (pow (sqrt 0.5) 2))) in y 0.578 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* x (pow (sqrt 0.5) 2))) 0.578 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.578 * [taylor]: Taking taylor expansion of 0.5 in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in y 0.578 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.579 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.579 * [taylor]: Taking taylor expansion of 0.5 in y 0.579 * [taylor]: Taking taylor expansion of (fma 0.5 y (* x (pow (sqrt 0.5) 2))) in y 0.579 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* x (pow (sqrt 0.5) 2))) 0.579 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.579 * [taylor]: Taking taylor expansion of 0.5 in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.580 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.580 * [taylor]: Taking taylor expansion of 0.5 in y 0.582 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.583 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.583 * [taylor]: Taking taylor expansion of 0.5 in x 0.587 * [taylor]: Taking taylor expansion of 0.5 in x 0.592 * [taylor]: Taking taylor expansion of 0 in x 0.597 * [taylor]: Taking taylor expansion of 0 in x 0.598 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -1 (* x (pow (sqrt 0.5) 2)))) in (y x) around 0 0.598 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -1 (* x (pow (sqrt 0.5) 2)))) in x 0.598 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -1 (* x (pow (sqrt 0.5) 2)))) 0.598 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.598 * [taylor]: Taking taylor expansion of 0.5 in x 0.598 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (sqrt 0.5) 2))) in x 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.598 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.598 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.598 * [taylor]: Taking taylor expansion of 0.5 in x 0.599 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -1 (* x (pow (sqrt 0.5) 2)))) in y 0.599 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -1 (* x (pow (sqrt 0.5) 2)))) 0.599 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.599 * [taylor]: Taking taylor expansion of 0.5 in y 0.599 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.599 * [taylor]: Taking taylor expansion of -1 in y 0.599 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (sqrt 0.5) 2))) in y 0.599 * [taylor]: Taking taylor expansion of -1 in y 0.599 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in y 0.599 * [taylor]: Taking taylor expansion of x in y 0.599 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.599 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.599 * [taylor]: Taking taylor expansion of 0.5 in y 0.600 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -1 (* x (pow (sqrt 0.5) 2)))) in y 0.600 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -1 (* x (pow (sqrt 0.5) 2)))) 0.600 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.600 * [taylor]: Taking taylor expansion of 0.5 in y 0.600 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.600 * [taylor]: Taking taylor expansion of -1 in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of (* -1 (* x (pow (sqrt 0.5) 2))) in y 0.600 * [taylor]: Taking taylor expansion of -1 in y 0.600 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in y 0.600 * [taylor]: Taking taylor expansion of x in y 0.600 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in y 0.601 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 0.601 * [taylor]: Taking taylor expansion of 0.5 in y 0.604 * [taylor]: Taking taylor expansion of (- (* x (pow (sqrt 0.5) 2))) in x 0.605 * [taylor]: Taking taylor expansion of (* x (pow (sqrt 0.5) 2)) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 2) in x 0.605 * [taylor]: Taking taylor expansion of (sqrt 0.5) in x 0.605 * [taylor]: Taking taylor expansion of 0.5 in x 0.610 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.610 * [taylor]: Taking taylor expansion of 0.5 in x 0.619 * [taylor]: Taking taylor expansion of 0 in x 0.625 * [taylor]: Taking taylor expansion of 0 in x 0.627 * * * [progress]: simplifying candidates 0.631 * [simplify]: Simplifying using # : (expm1 (/ (sqrt 0.5) x)) (log1p (/ (sqrt 0.5) x)) (- (log (sqrt 0.5)) (log x)) (log (/ (sqrt 0.5) x)) (exp (/ (sqrt 0.5) x)) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* x x) x)) (* (cbrt (/ (sqrt 0.5) x)) (cbrt (/ (sqrt 0.5) x))) (cbrt (/ (sqrt 0.5) x)) (* (* (/ (sqrt 0.5) x) (/ (sqrt 0.5) x)) (/ (sqrt 0.5) x)) (sqrt (/ (sqrt 0.5) x)) (sqrt (/ (sqrt 0.5) x)) (- (sqrt 0.5)) (- x) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt 0.5)) (cbrt x)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt x)) (/ (cbrt (sqrt 0.5)) (sqrt x)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) 1) (/ (cbrt (sqrt 0.5)) x) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt x) (cbrt x))) (/ (sqrt (cbrt 0.5)) (cbrt x)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (sqrt x)) (/ (sqrt (cbrt 0.5)) (sqrt x)) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) 1) (/ (sqrt (cbrt 0.5)) x) (/ (sqrt (sqrt 0.5)) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt 0.5)) (cbrt x)) (/ (sqrt (sqrt 0.5)) (sqrt x)) (/ (sqrt (sqrt 0.5)) (sqrt x)) (/ (sqrt (sqrt 0.5)) 1) (/ (sqrt (sqrt 0.5)) x) (/ (sqrt 1) (* (cbrt x) (cbrt x))) (/ (sqrt 0.5) (cbrt x)) (/ (sqrt 1) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 1) 1) (/ (sqrt 0.5) x) (/ (sqrt (sqrt 0.5)) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt 0.5)) (cbrt x)) (/ (sqrt (sqrt 0.5)) (sqrt x)) (/ (sqrt (sqrt 0.5)) (sqrt x)) (/ (sqrt (sqrt 0.5)) 1) (/ (sqrt (sqrt 0.5)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt 0.5) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ 1 1) (/ (sqrt 0.5) x) (/ 1 x) (/ x (sqrt 0.5)) (/ (sqrt 0.5) (* (cbrt x) (cbrt x))) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) 1) (/ x (cbrt (sqrt 0.5))) (/ x (sqrt (cbrt 0.5))) (/ x (sqrt (sqrt 0.5))) (/ x (sqrt 0.5)) (/ x (sqrt (sqrt 0.5))) (/ x (sqrt 0.5)) (expm1 (* (sqrt 0.5) (/ (sqrt 0.5) x))) (log1p (* (sqrt 0.5) (/ (sqrt 0.5) x))) (* (sqrt 0.5) (/ (sqrt 0.5) x)) (+ (log (sqrt 0.5)) (- (log (sqrt 0.5)) (log x))) (+ (log (sqrt 0.5)) (log (/ (sqrt 0.5) x))) (log (* (sqrt 0.5) (/ (sqrt 0.5) x))) (exp (* (sqrt 0.5) (/ (sqrt 0.5) x))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (/ (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* x x) x))) (* (* (* (sqrt 0.5) (sqrt 0.5)) (sqrt 0.5)) (* (* (/ (sqrt 0.5) x) (/ (sqrt 0.5) x)) (/ (sqrt 0.5) x))) (* (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) x))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) x))) (* (* (* (sqrt 0.5) (/ (sqrt 0.5) x)) (* (sqrt 0.5) (/ (sqrt 0.5) x))) (* (sqrt 0.5) (/ (sqrt 0.5) x))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) x))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) x))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) x))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) x))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) x))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) x))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt 0.5) (* (cbrt (/ (sqrt 0.5) x)) (cbrt (/ (sqrt 0.5) x)))) (* (sqrt 0.5) (sqrt (/ (sqrt 0.5) x))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt x) (cbrt x)))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt x))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) 1)) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (* (cbrt x) (cbrt x)))) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) (sqrt x))) (* (sqrt 0.5) (/ (sqrt (* (cbrt 0.5) (cbrt 0.5))) 1)) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (* (cbrt x) (cbrt x)))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) 1)) (* (sqrt 0.5) (/ (sqrt 1) (* (cbrt x) (cbrt x)))) (* (sqrt 0.5) (/ (sqrt 1) (sqrt x))) (* (sqrt 0.5) (/ (sqrt 1) 1)) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (* (cbrt x) (cbrt x)))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) (sqrt x))) (* (sqrt 0.5) (/ (sqrt (sqrt 0.5)) 1)) (* (sqrt 0.5) (/ 1 (* (cbrt x) (cbrt x)))) (* (sqrt 0.5) (/ 1 (sqrt x))) (* (sqrt 0.5) (/ 1 1)) (* (sqrt 0.5) 1) (* (sqrt 0.5) (sqrt 0.5)) (* (cbrt (sqrt 0.5)) (/ (sqrt 0.5) x)) (* (sqrt (cbrt 0.5)) (/ (sqrt 0.5) x)) (* (sqrt (sqrt 0.5)) (/ (sqrt 0.5) x)) (* (sqrt 0.5) (/ (sqrt 0.5) x)) (* (sqrt (sqrt 0.5)) (/ (sqrt 0.5) x)) (* (sqrt 0.5) (/ (sqrt 0.5) x)) (* (sqrt 0.5) (sqrt 0.5)) (expm1 (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (log1p (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (* 0.5 (/ 1 y)) (log (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (exp (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (* (cbrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (cbrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x))))) (cbrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (* (* (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x))) (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (sqrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (sqrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (/ (sqrt 0.5) x) (/ (sqrt 0.5) x) (/ (sqrt 0.5) x) (/ (pow (sqrt 0.5) 2) x) (/ (pow (sqrt 0.5) 2) x) (/ (pow (sqrt 0.5) 2) x) (+ (/ (pow (sqrt 0.5) 2) x) (* 0.5 (/ 1 y))) (+ (/ (pow (sqrt 0.5) 2) x) (* 0.5 (/ 1 y))) (+ (/ (pow (sqrt 0.5) 2) x) (* 0.5 (/ 1 y))) 0.636 * * [simplify]: iteration 0 : 243 enodes (cost 643 ) 0.642 * * [simplify]: iteration 1 : 1064 enodes (cost 561 ) 0.667 * * [simplify]: iteration 2 : 5002 enodes (cost 531 ) 0.670 * [simplify]: Simplified to: (expm1 (/ (sqrt 0.5) x)) (log1p (/ (sqrt 0.5) x)) (log (/ (sqrt 0.5) x)) (log (/ (sqrt 0.5) x)) (exp (/ (sqrt 0.5) x)) (pow (/ (sqrt 0.5) x) 3) (* (cbrt (/ (sqrt 0.5) x)) (cbrt (/ (sqrt 0.5) x))) (cbrt (/ (sqrt 0.5) x)) (pow (/ (sqrt 0.5) x) 3) (sqrt (/ (sqrt 0.5) x)) (sqrt (/ (sqrt 0.5) x)) (- (sqrt 0.5)) (- x) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt x) (cbrt x))) (/ (cbrt (sqrt 0.5)) (cbrt x)) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt x)) (/ (cbrt (sqrt 0.5)) (sqrt x)) (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (/ (cbrt (sqrt 0.5)) x) (/ (/ (fabs (cbrt 0.5)) (cbrt x)) (cbrt x)) (/ (sqrt (cbrt 0.5)) (cbrt x)) (/ (fabs (cbrt 0.5)) (* (sqrt x) 1)) (/ (sqrt (cbrt 0.5)) (sqrt x)) (fabs (cbrt 0.5)) (/ (sqrt (cbrt 0.5)) x) (/ (sqrt (sqrt 0.5)) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt 0.5)) (cbrt x)) (/ (sqrt (sqrt 0.5)) (sqrt x)) (/ (sqrt (sqrt 0.5)) (sqrt x)) (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt 0.5) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt 0.5) (sqrt x)) 1 (/ (sqrt 0.5) x) (/ (sqrt (sqrt 0.5)) (* (cbrt x) (cbrt x))) (/ (sqrt (sqrt 0.5)) (cbrt x)) (/ (sqrt (sqrt 0.5)) (sqrt x)) (/ (sqrt (sqrt 0.5)) (sqrt x)) (sqrt (sqrt 0.5)) (/ (sqrt (sqrt 0.5)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (sqrt 0.5) (cbrt x)) (/ 1 (sqrt x)) (/ (sqrt 0.5) (sqrt x)) 1 (/ (sqrt 0.5) x) (/ 1 x) (/ x (sqrt 0.5)) (/ (sqrt 0.5) (* (cbrt x) (cbrt x))) (/ (sqrt 0.5) (sqrt x)) (sqrt 0.5) (/ x (cbrt (sqrt 0.5))) (/ x (sqrt (cbrt 0.5))) (/ x (sqrt (sqrt 0.5))) (/ x (sqrt 0.5)) (/ x (sqrt (sqrt 0.5))) (/ x (sqrt 0.5)) (expm1 (* (sqrt 0.5) (/ (sqrt 0.5) x))) (log1p (* (sqrt 0.5) (/ (sqrt 0.5) x))) (/ 0.5 x) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (- (log 0.5) (log x)) (exp (* (sqrt 0.5) (/ (sqrt 0.5) x))) (pow (/ (pow (sqrt 0.5) 2) x) 3) (pow (/ (pow (sqrt 0.5) 2) x) 3) (* (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) x))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (cbrt (* (sqrt 0.5) (/ (sqrt 0.5) x))) (pow (/ (pow (sqrt 0.5) 2) x) 3) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) x))) (sqrt (* (sqrt 0.5) (/ (sqrt 0.5) x))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) x))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) x))) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) x))) (* (sqrt (sqrt 0.5)) (sqrt (/ (sqrt 0.5) x))) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (/ (sqrt 0.5) (sqrt x)) (* (sqrt 0.5) (* (cbrt (/ (sqrt 0.5) x)) (cbrt (/ (sqrt 0.5) x)))) (* (sqrt 0.5) (sqrt (/ (sqrt 0.5) x))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (* (cbrt x) (cbrt x)))) (* (sqrt 0.5) (/ (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt x))) (* (* (cbrt (sqrt 0.5)) (cbrt (sqrt 0.5))) (sqrt 0.5)) (/ (* (sqrt 0.5) (fabs (cbrt 0.5))) (* (cbrt x) (cbrt x))) (/ (* (sqrt 0.5) (fabs (cbrt 0.5))) (sqrt x)) (* (fabs (cbrt 0.5)) (sqrt 0.5)) (/ (pow (sqrt (sqrt 0.5)) 3) (* (cbrt x) (cbrt x))) (/ (pow (sqrt (sqrt 0.5)) 3) (sqrt x)) (pow (sqrt (sqrt 0.5)) 3) (/ (sqrt 0.5) (* (cbrt x) (cbrt x))) (/ (sqrt 0.5) (sqrt x)) (sqrt 0.5) (/ (pow (sqrt (sqrt 0.5)) 3) (* (cbrt x) (cbrt x))) (/ (pow (sqrt (sqrt 0.5)) 3) (sqrt x)) (pow (sqrt (sqrt 0.5)) 3) (/ (sqrt 0.5) (* (cbrt x) (cbrt x))) (/ (sqrt 0.5) (sqrt x)) (sqrt 0.5) (sqrt 0.5) 0.5 (* (cbrt (sqrt 0.5)) (/ (sqrt 0.5) x)) (* (sqrt (cbrt 0.5)) (/ (sqrt 0.5) x)) (/ (pow (sqrt (sqrt 0.5)) 3) x) (/ 0.5 x) (/ (pow (sqrt (sqrt 0.5)) 3) x) (/ 0.5 x) 0.5 (expm1 (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (log1p (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (/ 0.5 y) (log (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (exp (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x))) (* (cbrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (cbrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x))))) (cbrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (pow (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x)) 3) (sqrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (sqrt (fma 0.5 (/ 1 y) (* (sqrt 0.5) (/ (sqrt 0.5) x)))) (/ (sqrt 0.5) x) (/ (sqrt 0.5) x) (/ (sqrt 0.5) x) (/ 0.5 x) (/ 0.5 x) (/ 0.5 x) (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x)) (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x)) (fma 0.5 (/ 1 y) (/ (pow (sqrt 0.5) 2) x)) 0.670 * * * [progress]: adding candidates to table 0.882 * * [progress]: iteration 4 / 4 0.882 * * * [progress]: picking best candidate 0.883 * * * * [pick]: Picked # 0.884 * * * [progress]: localizing error 0.889 * * * [progress]: generating rewritten candidates 0.889 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.901 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.913 * * * [progress]: generating series expansions 0.913 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.913 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.913 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.913 * [taylor]: Taking taylor expansion of 0.5 in y 0.913 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.913 * [taylor]: Taking taylor expansion of (+ x y) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (* x y) in y 0.913 * [taylor]: Taking taylor expansion of x in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.914 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.914 * [taylor]: Taking taylor expansion of 0.5 in x 0.914 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.914 * [taylor]: Taking taylor expansion of (+ x y) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (* x y) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.914 * [taylor]: Taking taylor expansion of 0.5 in x 0.914 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.914 * [taylor]: Taking taylor expansion of (+ x y) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (* x y) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of 0.5 in y 0.916 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.916 * [taylor]: Taking taylor expansion of 0.5 in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [taylor]: Taking taylor expansion of 0 in y 0.925 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.925 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.925 * [taylor]: Taking taylor expansion of 0.5 in y 0.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of (* y x) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.925 * [taylor]: Taking taylor expansion of 0.5 in x 0.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.925 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (* y x) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.926 * [taylor]: Taking taylor expansion of 0.5 in x 0.926 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (* y x) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.929 * [taylor]: Taking taylor expansion of 0.5 in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.931 * [taylor]: Taking taylor expansion of 0.5 in y 0.934 * [taylor]: Taking taylor expansion of 0 in y 0.938 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [taylor]: Taking taylor expansion of 0 in y 0.945 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.945 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.945 * [taylor]: Taking taylor expansion of -0.5 in y 0.945 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.945 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.945 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.945 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (* y x) in y 0.946 * [taylor]: Taking taylor expansion of y in y 0.946 * [taylor]: Taking taylor expansion of x in y 0.946 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.946 * [taylor]: Taking taylor expansion of -0.5 in x 0.946 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (* y x) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.946 * [taylor]: Taking taylor expansion of -0.5 in x 0.946 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (* y x) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.948 * [taylor]: Taking taylor expansion of 0 in y 0.949 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.949 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.949 * [taylor]: Taking taylor expansion of 0.5 in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.951 * [taylor]: Taking taylor expansion of 0.5 in y 0.954 * [taylor]: Taking taylor expansion of 0 in y 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.963 * [taylor]: Taking taylor expansion of 0 in y 0.964 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.964 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.964 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.964 * [taylor]: Taking taylor expansion of 0.5 in y 0.964 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.964 * [taylor]: Taking taylor expansion of (+ x y) in y 0.964 * [taylor]: Taking taylor expansion of x in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.964 * [taylor]: Taking taylor expansion of x in y 0.964 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.964 * [taylor]: Taking taylor expansion of 0.5 in x 0.964 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.964 * [taylor]: Taking taylor expansion of (+ x y) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.964 * [taylor]: Taking taylor expansion of 0.5 in x 0.964 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.964 * [taylor]: Taking taylor expansion of (+ x y) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.965 * [taylor]: Taking taylor expansion of 0.5 in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.966 * [taylor]: Taking taylor expansion of 0.5 in y 0.968 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.971 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.971 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.971 * [taylor]: Taking taylor expansion of 0.5 in y 0.971 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.971 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.971 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.972 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of x in y 0.972 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.972 * [taylor]: Taking taylor expansion of 0.5 in x 0.972 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.972 * [taylor]: Taking taylor expansion of 0.5 in x 0.972 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.972 * [taylor]: Taking taylor expansion of y in x 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.972 * [taylor]: Taking taylor expansion of x in x 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.975 * [taylor]: Taking taylor expansion of 0.5 in y 0.976 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.976 * [taylor]: Taking taylor expansion of 0.5 in y 0.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.977 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of 0 in y 0.983 * [taylor]: Taking taylor expansion of 0 in y 0.984 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.984 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.984 * [taylor]: Taking taylor expansion of 0.5 in y 0.984 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.984 * [taylor]: Taking taylor expansion of 0.5 in x 0.984 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.985 * [taylor]: Taking taylor expansion of 0.5 in x 0.985 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of 0.5 in y 0.989 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.989 * [taylor]: Taking taylor expansion of 0.5 in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.996 * * * [progress]: simplifying candidates 0.997 * [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) 1.003 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 1.009 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 1.033 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 1.036 * [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) 1.036 * * * [progress]: adding candidates to table 1.175 * [progress]: [Phase 3 of 3] Extracting. 1.175 * * [regime]: Finding splitpoints for: (# # #) 1.175 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.175 * * * * [regimes]: Trying to branch on y from (# # #) 1.188 * * * * [regimes]: Trying to branch on x from (# # #) 1.204 * * * [regime]: Found split indices: #