15.179 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (/ (+ x y) (* (* x 2.0) y)) 0.027 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 28 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 42 enodes (cost 4 ) 0.032 * * [simplify]: iteration 3 : 44 enodes (cost 4 ) 0.033 * * [simplify]: iteration 4 : 44 enodes (cost 4 ) 0.033 * [simplify]: Simplified to: (/ (+ x y) (* (* x 2.0) y)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.054 * * * [progress]: generating series expansions 0.054 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.054 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.054 * [taylor]: Taking taylor expansion of 0.5 in y 0.054 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.054 * [taylor]: Taking taylor expansion of (+ x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.054 * [taylor]: Taking taylor expansion of y in y 0.054 * [taylor]: Taking taylor expansion of (* x y) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.055 * [taylor]: Taking taylor expansion of 0.5 in x 0.055 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.055 * [taylor]: Taking taylor expansion of (+ x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (* x y) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.056 * [taylor]: Taking taylor expansion of 0.5 in x 0.056 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.056 * [taylor]: Taking taylor expansion of (+ x y) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of (* x y) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of y in x 0.056 * [taylor]: Taking taylor expansion of 0.5 in y 0.057 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.057 * [taylor]: Taking taylor expansion of 0.5 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.067 * [taylor]: Taking taylor expansion of 0.5 in y 0.067 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.067 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (* y x) in y 0.068 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of x in y 0.068 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.068 * [taylor]: Taking taylor expansion of 0.5 in x 0.068 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (* y x) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.068 * [taylor]: Taking taylor expansion of 0.5 in x 0.068 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (* y x) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.070 * [taylor]: Taking taylor expansion of 0.5 in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0.5 in y 0.075 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [taylor]: Taking taylor expansion of 0 in y 0.084 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.084 * [taylor]: Taking taylor expansion of -0.5 in y 0.084 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* y x) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.085 * [taylor]: Taking taylor expansion of -0.5 in x 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* y x) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.085 * [taylor]: Taking taylor expansion of -0.5 in x 0.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (* y x) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.087 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.087 * [taylor]: Taking taylor expansion of 0.5 in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.090 * [taylor]: Taking taylor expansion of 0.5 in y 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [taylor]: Taking taylor expansion of 0 in y 0.103 * * * [progress]: simplifying candidates 0.104 * [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))) 0.107 * * [simplify]: iteration 0 : 225 enodes (cost 198 ) 0.112 * * [simplify]: iteration 1 : 956 enodes (cost 161 ) 0.134 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.136 * [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))) 0.136 * * * [progress]: adding candidates to table 0.186 * * [progress]: iteration 2 / 4 0.186 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.193 * * * [progress]: localizing error 0.199 * * * [progress]: generating rewritten candidates 0.199 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.200 * * * [progress]: generating series expansions 0.200 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.200 * [approximate]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in (y x) around 0 0.200 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in x 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 x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.200 * [taylor]: Taking taylor expansion of y in x 0.200 * [taylor]: Taking taylor expansion of (/ 0.5 x) in x 0.200 * [taylor]: Taking taylor expansion of 0.5 in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.201 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [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 (fma 0.5 (/ 1 y) (/ 0.5 x)) in y 0.201 * [taylor]: Rewrote expression to (+ (* 0.5 (/ 1 y)) (/ 0.5 x)) 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.201 * [taylor]: Taking taylor expansion of 0.5 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (/ 0.5 x) in y 0.202 * [taylor]: Taking taylor expansion of 0.5 in y 0.202 * [taylor]: Taking taylor expansion of x in y 0.202 * [taylor]: Taking taylor expansion of 0.5 in x 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of 0.5 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of 0 in x 0.207 * [taylor]: Taking taylor expansion of 0 in x 0.210 * [taylor]: Taking taylor expansion of 0 in x 0.210 * [approximate]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in (y x) around 0 0.210 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in x 0.210 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.210 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.210 * [taylor]: Taking taylor expansion of 0.5 in x 0.210 * [taylor]: Taking taylor expansion of y in x 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 0.210 * [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 0.211 * [taylor]: Taking taylor expansion of 0.5 in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.211 * [taylor]: Taking taylor expansion of 0.5 in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (fma 0.5 y (* 0.5 x)) in y 0.211 * [taylor]: Rewrote expression to (+ (* 0.5 y) (* 0.5 x)) 0.211 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.211 * [taylor]: Taking taylor expansion of 0.5 in y 0.211 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.211 * [taylor]: Taking taylor expansion of 0.5 in y 0.211 * [taylor]: Taking taylor expansion of x in y 0.211 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.211 * [taylor]: Taking taylor expansion of 0.5 in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.213 * [taylor]: Taking taylor expansion of 0.5 in x 0.215 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [taylor]: Taking taylor expansion of 0 in x 0.217 * [approximate]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in (y x) around 0 0.217 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in x 0.218 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.218 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in x 0.218 * [taylor]: Taking taylor expansion of 0.5 in x 0.218 * [taylor]: Taking taylor expansion of (* -1 y) in x 0.218 * [taylor]: Taking taylor expansion of -1 in x 0.218 * [taylor]: Taking taylor expansion of y 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 0.218 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.218 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.218 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 0.5 in y 0.218 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.218 * [taylor]: Taking taylor expansion of -1 in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.218 * [taylor]: Taking taylor expansion of -0.5 in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [taylor]: Taking taylor expansion of (fma 0.5 (* -1 y) (* -0.5 x)) in y 0.218 * [taylor]: Rewrote expression to (+ (* 0.5 (* -1 y)) (* -0.5 x)) 0.218 * [taylor]: Taking taylor expansion of (* 0.5 (* -1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 0.5 in y 0.218 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.218 * [taylor]: Taking taylor expansion of -1 in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (* -0.5 x) in y 0.218 * [taylor]: Taking taylor expansion of -0.5 in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.219 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.219 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.219 * [taylor]: Taking taylor expansion of 0.5 in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.221 * [taylor]: Taking taylor expansion of 0.5 in x 0.225 * [taylor]: Taking taylor expansion of 0 in x 0.228 * [taylor]: Taking taylor expansion of 0 in x 0.229 * * * [progress]: simplifying candidates 0.229 * [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))) 0.233 * * [simplify]: iteration 0 : 30 enodes (cost 74 ) 0.235 * * [simplify]: iteration 1 : 86 enodes (cost 65 ) 0.237 * * [simplify]: iteration 2 : 435 enodes (cost 64 ) 0.247 * * [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 0.314 * * [progress]: iteration 3 / 4 0.314 * * * [progress]: picking best candidate 0.317 * * * * [pick]: Picked # 0.317 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.334 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.345 * * * [progress]: generating series expansions 0.345 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.346 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in (x y) around 0 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in y 0.346 * [taylor]: Taking taylor expansion of 0.5 in y 0.346 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in y 0.346 * [taylor]: Taking taylor expansion of (+ x y) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (* x y) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.346 * [taylor]: Taking taylor expansion of 0.5 in x 0.346 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.346 * [taylor]: Taking taylor expansion of (+ x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (* x y) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) (* x y))) in x 0.347 * [taylor]: Taking taylor expansion of 0.5 in x 0.347 * [taylor]: Taking taylor expansion of (/ (+ x y) (* x y)) in x 0.347 * [taylor]: Taking taylor expansion of (+ x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (* x y) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of 0.5 in y 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.349 * [taylor]: Taking taylor expansion of 0.5 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.354 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.358 * [taylor]: Taking taylor expansion of 0.5 in y 0.358 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (* y x) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.358 * [taylor]: Taking taylor expansion of 0.5 in x 0.358 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* y x) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.359 * [taylor]: Taking taylor expansion of 0.5 in x 0.359 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (* y x) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.361 * [taylor]: Taking taylor expansion of 0.5 in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.364 * [taylor]: Taking taylor expansion of 0.5 in y 0.366 * [taylor]: Taking taylor expansion of 0 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of 0 in y 0.375 * [approximate]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in (x y) around 0 0.375 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in y 0.375 * [taylor]: Taking taylor expansion of -0.5 in y 0.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in y 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (* y x) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of x in y 0.375 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.375 * [taylor]: Taking taylor expansion of -0.5 in x 0.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.375 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.375 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (* y x) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (* -0.5 (* (+ (/ 1 y) (/ 1 x)) (* y x))) in x 0.376 * [taylor]: Taking taylor expansion of -0.5 in x 0.376 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (* y x)) in x 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of (* y x) in x 0.376 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.378 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.378 * [taylor]: Taking taylor expansion of 0.5 in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.380 * [taylor]: Taking taylor expansion of 0.5 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.398 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.398 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in (x y) around 0 0.398 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in y 0.398 * [taylor]: Taking taylor expansion of 0.5 in y 0.398 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.398 * [taylor]: Taking taylor expansion of (+ x y) in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.398 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.398 * [taylor]: Taking taylor expansion of 0.5 in x 0.398 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.398 * [taylor]: Taking taylor expansion of (+ x y) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ x y) x)) in x 0.399 * [taylor]: Taking taylor expansion of 0.5 in x 0.399 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.399 * [taylor]: Taking taylor expansion of (+ x y) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.399 * [taylor]: Taking taylor expansion of 0.5 in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 0.5 in y 0.403 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.406 * [taylor]: Taking taylor expansion of 0.5 in y 0.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of x in y 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.406 * [taylor]: Taking taylor expansion of 0.5 in x 0.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.407 * [taylor]: Taking taylor expansion of 0.5 in x 0.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of 0.5 in y 0.411 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.411 * [taylor]: Taking taylor expansion of 0.5 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of 0 in y 0.418 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in (x y) around 0 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.418 * [taylor]: Taking taylor expansion of 0.5 in y 0.418 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.419 * [taylor]: Taking taylor expansion of 0.5 in x 0.419 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.419 * [taylor]: Taking taylor expansion of 0.5 in x 0.419 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of 0.5 in y 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.424 * [taylor]: Taking taylor expansion of 0.5 in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.430 * [taylor]: Taking taylor expansion of 0 in y 0.431 * * * [progress]: simplifying candidates 0.432 * [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) 0.438 * * [simplify]: iteration 0 : 345 enodes (cost 558 ) 0.445 * * [simplify]: iteration 1 : 1350 enodes (cost 499 ) 0.469 * * [simplify]: iteration 2 : 5001 enodes (cost 496 ) 0.472 * [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) 0.472 * * * [progress]: adding candidates to table 0.615 * * [progress]: iteration 4 / 4 0.615 * * * [progress]: picking best candidate 0.617 * * * * [pick]: Picked # 0.617 * * * [progress]: localizing error 0.622 * * * [progress]: generating rewritten candidates 0.622 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.624 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.626 * * * [progress]: generating series expansions 0.626 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.626 * [approximate]: Taking taylor expansion of (/ (fma 0.5 (/ y x) 0.5) y) in (y x) around 0 0.626 * [taylor]: Taking taylor expansion of (/ (fma 0.5 (/ y x) 0.5) y) in x 0.626 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in x 0.626 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.626 * [taylor]: Taking taylor expansion of 0.5 in x 0.626 * [taylor]: Taking taylor expansion of (/ y x) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of 0.5 in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [taylor]: Taking taylor expansion of (/ (fma 0.5 (/ y x) 0.5) y) in y 0.626 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in y 0.626 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.626 * [taylor]: Taking taylor expansion of 0.5 in y 0.626 * [taylor]: Taking taylor expansion of (/ y x) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of x in y 0.626 * [taylor]: Taking taylor expansion of 0.5 in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of (/ (fma 0.5 (/ y x) 0.5) y) in y 0.627 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in y 0.627 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.627 * [taylor]: Taking taylor expansion of 0.5 in y 0.627 * [taylor]: Taking taylor expansion of (/ y x) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of x in y 0.628 * [taylor]: Taking taylor expansion of 0.5 in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of 0.5 in x 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of 0.5 in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.631 * [taylor]: Taking taylor expansion of 0 in x 0.634 * [taylor]: Taking taylor expansion of 0 in x 0.638 * [taylor]: Taking taylor expansion of 0 in x 0.638 * [approximate]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in (y x) around 0 0.638 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in x 0.638 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.638 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.638 * [taylor]: Taking taylor expansion of 0.5 in x 0.638 * [taylor]: Taking taylor expansion of (/ x y) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of 0.5 in x 0.639 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.639 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.639 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.639 * [taylor]: Taking taylor expansion of 0.5 in y 0.639 * [taylor]: Taking taylor expansion of (/ x y) in y 0.639 * [taylor]: Taking taylor expansion of x in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 0.5 in y 0.639 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.639 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.639 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.639 * [taylor]: Taking taylor expansion of 0.5 in y 0.639 * [taylor]: Taking taylor expansion of (/ x y) in y 0.639 * [taylor]: Taking taylor expansion of x in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of 0.5 in y 0.639 * [taylor]: Taking taylor expansion of 0 in x 0.641 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.641 * [taylor]: Taking taylor expansion of 0.5 in x 0.641 * [taylor]: Taking taylor expansion of x in x 0.643 * [taylor]: Taking taylor expansion of 0.5 in x 0.647 * [taylor]: Taking taylor expansion of 0 in x 0.651 * [taylor]: Taking taylor expansion of 0 in x 0.651 * [approximate]: Taking taylor expansion of (* -1 (* y (fma 0.5 (/ x y) 0.5))) in (y x) around 0 0.651 * [taylor]: Taking taylor expansion of (* -1 (* y (fma 0.5 (/ x y) 0.5))) in x 0.652 * [taylor]: Taking taylor expansion of -1 in x 0.652 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in x 0.652 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.652 * [taylor]: Taking taylor expansion of 0.5 in x 0.652 * [taylor]: Taking taylor expansion of (/ x y) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of 0.5 in x 0.652 * [taylor]: Taking taylor expansion of (* -1 (* y (fma 0.5 (/ x y) 0.5))) in y 0.652 * [taylor]: Taking taylor expansion of -1 in y 0.652 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.652 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.652 * [taylor]: Taking taylor expansion of 0.5 in y 0.652 * [taylor]: Taking taylor expansion of (/ x y) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of 0.5 in y 0.652 * [taylor]: Taking taylor expansion of (* -1 (* y (fma 0.5 (/ x y) 0.5))) in y 0.652 * [taylor]: Taking taylor expansion of -1 in y 0.652 * [taylor]: Taking taylor expansion of (* y (fma 0.5 (/ x y) 0.5)) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.652 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.652 * [taylor]: Taking taylor expansion of 0.5 in y 0.652 * [taylor]: Taking taylor expansion of (/ x y) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of 0.5 in y 0.653 * [taylor]: Taking taylor expansion of 0 in x 0.655 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.655 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.655 * [taylor]: Taking taylor expansion of 0.5 in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.658 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.658 * [taylor]: Taking taylor expansion of 0.5 in x 0.663 * [taylor]: Taking taylor expansion of 0 in x 0.673 * [taylor]: Taking taylor expansion of 0 in x 0.674 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.674 * [approximate]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in (y x) around 0 0.674 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in x 0.674 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in x 0.674 * [taylor]: Taking taylor expansion of 0.5 in x 0.674 * [taylor]: Taking taylor expansion of (/ y x) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of 0.5 in x 0.674 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in y 0.675 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.675 * [taylor]: Taking taylor expansion of 0.5 in y 0.675 * [taylor]: Taking taylor expansion of (/ y x) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [taylor]: Taking taylor expansion of 0.5 in y 0.675 * [taylor]: Taking taylor expansion of (fma 0.5 (/ y x) 0.5) in y 0.675 * [taylor]: Rewrote expression to (+ (* 0.5 (/ y x)) 0.5) 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (/ y x)) in y 0.675 * [taylor]: Taking taylor expansion of 0.5 in y 0.675 * [taylor]: Taking taylor expansion of (/ y x) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [taylor]: Taking taylor expansion of 0.5 in y 0.675 * [taylor]: Taking taylor expansion of 0.5 in x 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.675 * [taylor]: Taking taylor expansion of 0.5 in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.677 * [taylor]: Taking taylor expansion of 0 in x 0.678 * [taylor]: Taking taylor expansion of 0 in x 0.681 * [taylor]: Taking taylor expansion of 0 in x 0.681 * [approximate]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in (y x) around 0 0.681 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in x 0.681 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.681 * [taylor]: Taking taylor expansion of 0.5 in x 0.681 * [taylor]: Taking taylor expansion of (/ x y) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of 0.5 in x 0.681 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.681 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.681 * [taylor]: Taking taylor expansion of 0.5 in y 0.681 * [taylor]: Taking taylor expansion of (/ x y) in y 0.681 * [taylor]: Taking taylor expansion of x in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of 0.5 in y 0.681 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.682 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.682 * [taylor]: Taking taylor expansion of 0.5 in y 0.682 * [taylor]: Taking taylor expansion of (/ x y) in y 0.682 * [taylor]: Taking taylor expansion of x in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of 0.5 in y 0.682 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.682 * [taylor]: Taking taylor expansion of 0.5 in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of 0.5 in x 0.686 * [taylor]: Taking taylor expansion of 0 in x 0.688 * [taylor]: Taking taylor expansion of 0 in x 0.688 * [approximate]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in (y x) around 0 0.689 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in x 0.689 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in x 0.689 * [taylor]: Taking taylor expansion of 0.5 in x 0.689 * [taylor]: Taking taylor expansion of (/ x y) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of 0.5 in x 0.689 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.689 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.689 * [taylor]: Taking taylor expansion of 0.5 in y 0.689 * [taylor]: Taking taylor expansion of (/ x y) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of 0.5 in y 0.689 * [taylor]: Taking taylor expansion of (fma 0.5 (/ x y) 0.5) in y 0.689 * [taylor]: Rewrote expression to (+ (* 0.5 (/ x y)) 0.5) 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (/ x y)) in y 0.689 * [taylor]: Taking taylor expansion of 0.5 in y 0.689 * [taylor]: Taking taylor expansion of (/ x y) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of 0.5 in y 0.689 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.689 * [taylor]: Taking taylor expansion of 0.5 in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of 0.5 in x 0.693 * [taylor]: Taking taylor expansion of 0 in x 0.696 * [taylor]: Taking taylor expansion of 0 in x 0.696 * * * [progress]: simplifying candidates 0.697 * [simplify]: Simplifying using # : (expm1 (/ (fma 0.5 (/ y x) 0.5) y)) (log1p (/ (fma 0.5 (/ y x) 0.5) y)) (- (log (fma 0.5 (/ y x) 0.5)) (log y)) (log (/ (fma 0.5 (/ y x) 0.5) y)) (exp (/ (fma 0.5 (/ y x) 0.5) y)) (/ (* (* (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5)) (fma 0.5 (/ y x) 0.5)) (* (* y y) y)) (* (cbrt (/ (fma 0.5 (/ y x) 0.5) y)) (cbrt (/ (fma 0.5 (/ y x) 0.5) y))) (cbrt (/ (fma 0.5 (/ y x) 0.5) y)) (* (* (/ (fma 0.5 (/ y x) 0.5) y) (/ (fma 0.5 (/ y x) 0.5) y)) (/ (fma 0.5 (/ y x) 0.5) y)) (sqrt (/ (fma 0.5 (/ y x) 0.5) y)) (sqrt (/ (fma 0.5 (/ y x) 0.5) y)) (- (fma 0.5 (/ y x) 0.5)) (- y) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (* (cbrt y) (cbrt y))) (/ (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt y)) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (sqrt y)) (/ (cbrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) 1) (/ (cbrt (fma 0.5 (/ y x) 0.5)) y) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (* (cbrt y) (cbrt y))) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (cbrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) 1) (/ (sqrt (fma 0.5 (/ y x) 0.5)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (fma 0.5 (/ y x) 0.5) (cbrt y)) (/ 1 (sqrt y)) (/ (fma 0.5 (/ y x) 0.5) (sqrt y)) (/ 1 1) (/ (fma 0.5 (/ y x) 0.5) y) (/ 1 y) (/ y (fma 0.5 (/ y x) 0.5)) (/ (fma 0.5 (/ y x) 0.5) (* (cbrt y) (cbrt y))) (/ (fma 0.5 (/ y x) 0.5) (sqrt y)) (/ (fma 0.5 (/ y x) 0.5) 1) (/ y (cbrt (fma 0.5 (/ y x) 0.5))) (/ y (sqrt (fma 0.5 (/ y x) 0.5))) (/ y (fma 0.5 (/ y x) 0.5)) (expm1 (fma 0.5 (/ y x) 0.5)) (log1p (fma 0.5 (/ y x) 0.5)) (* 0.5 (/ y x)) (log (fma 0.5 (/ y x) 0.5)) (exp (fma 0.5 (/ y x) 0.5)) (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (cbrt (fma 0.5 (/ y x) 0.5)) (* (* (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5)) (fma 0.5 (/ y x) 0.5)) (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt (fma 0.5 (/ y x) 0.5)) (+ (* 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) 0.701 * * [simplify]: iteration 0 : 108 enodes (cost 237 ) 0.703 * * [simplify]: iteration 1 : 319 enodes (cost 218 ) 0.710 * * [simplify]: iteration 2 : 1171 enodes (cost 218 ) 0.734 * * [simplify]: iteration 3 : 5001 enodes (cost 215 ) 0.735 * [simplify]: Simplified to: (expm1 (/ (fma 0.5 (/ y x) 0.5) y)) (log1p (/ (fma 0.5 (/ y x) 0.5) y)) (log (/ (fma 0.5 (/ y x) 0.5) y)) (log (/ (fma 0.5 (/ y x) 0.5) y)) (exp (/ (fma 0.5 (/ y x) 0.5) y)) (pow (/ (fma 0.5 (/ y x) 0.5) y) 3) (* (cbrt (/ (fma 0.5 (/ y x) 0.5) y)) (cbrt (/ (fma 0.5 (/ y x) 0.5) y))) (cbrt (/ (fma 0.5 (/ y x) 0.5) y)) (pow (/ (fma 0.5 (/ y x) 0.5) y) 3) (sqrt (/ (fma 0.5 (/ y x) 0.5) y)) (sqrt (/ (fma 0.5 (/ y x) 0.5) y)) (- (fma 0.5 (/ y x) 0.5)) (- y) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (* (cbrt y) (cbrt y))) (/ (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt y)) (/ (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (sqrt y)) (/ (cbrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (/ (cbrt (fma 0.5 (/ y x) 0.5)) y) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (* (cbrt y) (cbrt y))) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (cbrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt y)) (sqrt (fma 0.5 (/ y x) 0.5)) (/ (sqrt (fma 0.5 (/ y x) 0.5)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (fma 0.5 (/ y x) 0.5) (cbrt y)) (/ 1 (sqrt y)) (/ (fma 0.5 (/ y x) 0.5) (sqrt y)) 1 (/ (fma 0.5 (/ y x) 0.5) y) (/ 1 y) (/ y (fma 0.5 (/ y x) 0.5)) (/ (fma 0.5 (/ y x) 0.5) (* (cbrt y) (cbrt y))) (/ (fma 0.5 (/ y x) 0.5) (sqrt y)) (fma 0.5 (/ y x) 0.5) (/ y (cbrt (fma 0.5 (/ y x) 0.5))) (/ y (sqrt (fma 0.5 (/ y x) 0.5))) (/ y (fma 0.5 (/ y x) 0.5)) (expm1 (fma 0.5 (/ y x) 0.5)) (log1p (fma 0.5 (/ y x) 0.5)) (* 0.5 (/ y x)) (log (fma 0.5 (/ y x) 0.5)) (exp (fma 0.5 (/ y x) 0.5)) (* (cbrt (fma 0.5 (/ y x) 0.5)) (cbrt (fma 0.5 (/ y x) 0.5))) (cbrt (fma 0.5 (/ y x) 0.5)) (pow (fma 0.5 (/ y x) 0.5) 3) (sqrt (fma 0.5 (/ y x) 0.5)) (sqrt (fma 0.5 (/ y x) 0.5)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma (/ 0.5 y) 1 (/ 0.5 x)) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) (fma 0.5 (/ y x) 0.5) 0.736 * * * [progress]: adding candidates to table 0.823 * [progress]: [Phase 3 of 3] Extracting. 0.823 * * [regime]: Finding splitpoints for: (# #) 0.823 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.823 * * * * [regimes]: Trying to branch on y from (# #) 0.835 * * * * [regimes]: Trying to branch on x from (# #) 0.846 * * * [regime]: Found split indices: #