9.007 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.013 * * * [progress]: [2/2] Setting up program. 0.015 * [progress]: [Phase 2 of 3] Improving. 0.015 * [simplify]: Simplifying using # : (/ (- x y) (* (* x 2.0) y)) 0.015 * [simplify]: Sending expressions to egg_math: (/ (- h0 h1) (* (* h0 h2) h1)) 0.021 * * [simplify]: iteration 0 : 18 enodes (cost 4 ) 0.022 * * [simplify]: iteration 1 : 48 enodes (cost 4 ) 0.024 * * [simplify]: iteration 2 : 106 enodes (cost 4 ) 0.027 * * [simplify]: iteration 3 : 174 enodes (cost 4 ) 0.029 * * [simplify]: iteration 4 : 198 enodes (cost 4 ) 0.032 * * [simplify]: iteration 5 : 203 enodes (cost 4 ) 0.034 * * [simplify]: iteration 6 : 203 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (/ (- x y) (* (* x 2.0) y)) 0.034 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.074 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.074 * [taylor]: Taking taylor expansion of 0.5 in y 0.074 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.074 * [taylor]: Taking taylor expansion of (- x y) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (* x y) in y 0.074 * [taylor]: Taking taylor expansion of x in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.075 * [taylor]: Taking taylor expansion of 0.5 in x 0.075 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.075 * [taylor]: Taking taylor expansion of (- x y) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (* x y) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.076 * [taylor]: Taking taylor expansion of 0.5 in x 0.076 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.076 * [taylor]: Taking taylor expansion of (- x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of (* x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [taylor]: Taking taylor expansion of -0.5 in y 0.078 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.078 * [taylor]: Taking taylor expansion of 0.5 in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of 0 in y 0.083 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [taylor]: Taking taylor expansion of 0 in y 0.087 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.087 * [taylor]: Taking taylor expansion of 0.5 in y 0.087 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (* x y) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.087 * [taylor]: Taking taylor expansion of 0.5 in x 0.087 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.087 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.088 * [taylor]: Taking taylor expansion of 0.5 in x 0.088 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (* x y) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.090 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.090 * [taylor]: Taking taylor expansion of 0.5 in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.093 * [taylor]: Taking taylor expansion of 0.5 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.105 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.105 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.105 * [taylor]: Taking taylor expansion of 0.5 in y 0.105 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.105 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.106 * [taylor]: Taking taylor expansion of 0.5 in x 0.106 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.106 * [taylor]: Taking taylor expansion of 0.5 in x 0.106 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.112 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.112 * [taylor]: Taking taylor expansion of 0.5 in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0.5 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.128 * * * [progress]: simplifying candidates 0.129 * [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)) (/ x (* (* x 2.0) y)) (/ 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) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt 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) (- (sqrt x) (sqrt 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))) 0.129 * [simplify]: Sending expressions to egg_math: (expm1 (/ (- h0 h1) (* (* h0 h2) h1))) (log1p (/ (- h0 h1) (* (* h0 h2) h1))) (- (log (- h0 h1)) (+ (+ (log h0) (log h2)) (log h1))) (- (log (- h0 h1)) (+ (log (* h0 h2)) (log h1))) (- (log (- h0 h1)) (log (* (* h0 h2) h1))) (log (/ (- h0 h1) (* (* h0 h2) h1))) (exp (/ (- h0 h1) (* (* h0 h2) h1))) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (* (* h0 h0) h0) (* (* h2 h2) h2)) (* (* h1 h1) h1))) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (* (* h0 h2) (* h0 h2)) (* h0 h2)) (* (* h1 h1) h1))) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (* (* h0 h2) h1) (* (* h0 h2) h1)) (* (* h0 h2) h1))) (* (cbrt (/ (- h0 h1) (* (* h0 h2) h1))) (cbrt (/ (- h0 h1) (* (* h0 h2) h1)))) (cbrt (/ (- h0 h1) (* (* h0 h2) h1))) (* (* (/ (- h0 h1) (* (* h0 h2) h1)) (/ (- h0 h1) (* (* h0 h2) h1))) (/ (- h0 h1) (* (* h0 h2) h1))) (sqrt (/ (- h0 h1) (* (* h0 h2) h1))) (sqrt (/ (- h0 h1) (* (* h0 h2) h1))) (- (- h0 h1)) (- (* (* h0 h2) h1)) (/ h0 (* (* h0 h2) h1)) (/ h1 (* (* h0 h2) h1)) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) (* h0 h2)) (/ (cbrt (- h0 h1)) h1) (/ (sqrt (- h0 h1)) (* h0 h2)) (/ (sqrt (- h0 h1)) h1) (/ 1 (* h0 h2)) (/ (- h0 h1) h1) (/ (+ (sqrt h0) (sqrt h1)) (* h0 h2)) (/ (- (sqrt h0) (sqrt h1)) h1) (/ 1 (* h0 h2)) (/ (- h0 h1) h1) (/ 1 (* (* h0 h2) h1)) (/ (* (* h0 h2) h1) (- h0 h1)) (/ (- h0 h1) (* h0 h2)) (/ (* (* h0 h2) h1) (cbrt (- h0 h1))) (/ (* (* h0 h2) h1) (sqrt (- h0 h1))) (/ (* (* h0 h2) h1) (- h0 h1)) (/ (* (* h0 h2) h1) (- (sqrt h0) (sqrt h1))) (/ (* (* h0 h2) h1) (- h0 h1)) (* (* (* h0 h2) h1) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (* (* h0 h2) h1) (+ h0 h1)) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) 0.134 * * [simplify]: iteration 0 : 242 enodes (cost 218 ) 0.140 * * [simplify]: iteration 1 : 990 enodes (cost 181 ) 0.161 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.163 * [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)) (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)) (/ (* (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) (/ (+ (sqrt x) (sqrt y)) (* x 2.0)) (/ (- (sqrt x) (sqrt 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) (- (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) (- x y)) (* (* x 2.0) (* y (fma x x (fma y y (* x y))))) (* (* (* x 2.0) y) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.163 * * * [progress]: adding candidates to table 0.216 * * [progress]: iteration 2 / 4 0.216 * * * [progress]: picking best candidate 0.220 * * * * [pick]: Picked # 0.220 * * * [progress]: localizing error 0.227 * * * [progress]: generating rewritten candidates 0.227 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.273 * * * [progress]: generating series expansions 0.273 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.273 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in (y x) around 0 0.273 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in x 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in x 0.273 * [taylor]: Taking taylor expansion of 0.5 in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of 0.5 in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in y 0.274 * [taylor]: Taking taylor expansion of 0.5 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.275 * [taylor]: Taking taylor expansion of 0.5 in x 0.276 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 x))) in x 0.276 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 0.276 * [taylor]: Taking taylor expansion of 0.5 in x 0.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.276 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of 0 in x 0.281 * [taylor]: Taking taylor expansion of 0 in x 0.285 * [taylor]: Taking taylor expansion of 0 in x 0.285 * [approximate]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in (y x) around 0 0.285 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in x 0.285 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.285 * [taylor]: Taking taylor expansion of 0.5 in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.286 * [taylor]: Taking taylor expansion of 0.5 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.286 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.286 * [taylor]: Taking taylor expansion of 0.5 in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.286 * [taylor]: Taking taylor expansion of 0.5 in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of (- (* 0.5 y) (* 0.5 x)) in y 0.286 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.286 * [taylor]: Taking taylor expansion of 0.5 in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.286 * [taylor]: Taking taylor expansion of 0.5 in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of (- (* 0.5 x)) in x 0.286 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.286 * [taylor]: Taking taylor expansion of 0.5 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of 0.5 in x 0.291 * [taylor]: Taking taylor expansion of 0 in x 0.293 * [taylor]: Taking taylor expansion of 0 in x 0.293 * [approximate]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in (y x) around 0 0.293 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in x 0.293 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.293 * [taylor]: Taking taylor expansion of 0.5 in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (* 0.5 y) in x 0.293 * [taylor]: Taking taylor expansion of 0.5 in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.293 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.293 * [taylor]: Taking taylor expansion of 0.5 in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.294 * [taylor]: Taking taylor expansion of 0.5 in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (- (* 0.5 x) (* 0.5 y)) in y 0.294 * [taylor]: Taking taylor expansion of (* 0.5 x) in y 0.294 * [taylor]: Taking taylor expansion of 0.5 in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.294 * [taylor]: Taking taylor expansion of 0.5 in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 0.294 * [taylor]: Taking taylor expansion of 0.5 in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (- 0.5) in x 0.296 * [taylor]: Taking taylor expansion of 0.5 in x 0.299 * [taylor]: Taking taylor expansion of 0 in x 0.301 * [taylor]: Taking taylor expansion of 0 in x 0.301 * * * [progress]: simplifying candidates 0.303 * [simplify]: Simplifying using # : (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* 2.0 y))) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (* (cbrt 1) (cbrt 1)) 2.0) (/ (cbrt 1) y) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) (- (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma (/ (sqrt 1) 2.0) (/ (sqrt 1) y) 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2.0))) (cbrt (/ 1 (* x 2.0))))))) (fma (- (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))) (* (cbrt (/ 1 (* x 2.0))) (* (cbrt (/ 1 (* x 2.0))) (cbrt (/ 1 (* x 2.0)))))) (fma 1 (/ 1 (* 2.0 y)) (- (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0)))))) (fma (- (sqrt (/ 1 (* x 2.0)))) (sqrt (/ 1 (* x 2.0))) (* (sqrt (/ 1 (* x 2.0))) (sqrt (/ 1 (* x 2.0))))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x)))) (fma (- (/ (cbrt 1) 2.0)) (/ (* (cbrt 1) (cbrt 1)) x) (* (/ (cbrt 1) 2.0) (/ (* (cbrt 1) (cbrt 1)) x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x)))) (fma (- (/ (sqrt 1) 2.0)) (/ (sqrt 1) x) (* (/ (sqrt 1) 2.0) (/ (sqrt 1) x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 2.0) (/ 1 x)))) (fma (- (/ 1 2.0)) (/ 1 x) (* (/ 1 2.0) (/ 1 x))) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (fma 1 (/ 1 (* 2.0 y)) (- (* (/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) 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(/ 1 (* x 2.0)) 1))) (fma (- (/ 1 (* x 2.0))) 1 (* (/ 1 (* x 2.0)) 1)) (expm1 (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log1p (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (/ (exp (/ 1 (* 2.0 y))) (exp (/ 1 (* x 2.0)))) (log (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (* (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (* 1 (* x 2.0)) (* (* 2.0 y) 1)) (* (* 2.0 y) (* x 2.0)) (- (pow (/ 1 (* 2.0 y)) 3) (pow (/ 1 (* x 2.0)) 3)) (+ (* (/ 1 (* 2.0 y)) (/ 1 (* 2.0 y))) (+ (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0))) (* (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (- (/ 1 (* x 2.0))) (- (* (/ 1 (* 2.0 y)) (/ 1 (* 2.0 y))) (* (/ 1 (* x 2.0)) (/ 1 (* x 2.0)))) (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (+ (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) (- (* 0.5 (/ 1 y)) (* 0.5 (/ 1 x))) 0.304 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (/ 1 (* h0 h1))) (cbrt (/ 1 (* h0 h1)))) (cbrt (/ 1 (* h0 h1))) (- (* (cbrt (/ 1 (* h2 h0))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0))))))) (fma (- (cbrt (/ 1 (* h2 h0)))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0)))) (* (cbrt (/ 1 (* h2 h0))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0)))))) (fma (* (cbrt (/ 1 (* h0 h1))) (cbrt (/ 1 (* h0 h1)))) (cbrt (/ 1 (* h0 h1))) (- (* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 1 (* h2 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(cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h1) (- (* (/ (sqrt 1) h0) (/ (sqrt 1) h2)))) (fma (- (/ (sqrt 1) h0)) (/ (sqrt 1) h2) (* (/ (sqrt 1) h0) (/ (sqrt 1) h2))) (fma (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h1) (- (* (/ 1 h0) (/ 1 h2)))) (fma (- (/ 1 h0)) (/ 1 h2) (* (/ 1 h0) (/ 1 h2))) (fma (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h1) (- (* (/ 1 (* h2 h0)) 1))) (fma (- (/ 1 (* h2 h0))) 1 (* (/ 1 (* h2 h0)) 1)) (fma (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h1) (- (* (/ 1 (* h2 h0)) 1))) (fma (- (/ 1 (* h2 h0))) 1 (* (/ 1 (* h2 h0)) 1)) (fma (/ (sqrt 1) h0) (/ (sqrt 1) h1) (- (* (cbrt (/ 1 (* h2 h0))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0))))))) (fma (- (cbrt (/ 1 (* h2 h0)))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0)))) (* (cbrt (/ 1 (* h2 h0))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0)))))) (fma (/ (sqrt 1) h0) (/ (sqrt 1) h1) (- (* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 1 (* h2 h0)))))) (fma (- (sqrt (/ 1 (* h2 h0)))) (sqrt (/ 1 (* h2 h0))) (* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 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(* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 1 (* h2 h0)))))) (fma (- (sqrt (/ 1 (* h2 h0)))) (sqrt (/ 1 (* h2 h0))) (* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 1 (* h2 h0))))) (fma (/ 1 h0) (/ 1 h1) (- (* (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) h2)))) (fma (- (/ (cbrt 1) h0)) (/ (* (cbrt 1) (cbrt 1)) h2) (* (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) h2))) (fma (/ 1 h0) (/ 1 h1) (- (* (/ (sqrt 1) h0) (/ (sqrt 1) h2)))) (fma (- (/ (sqrt 1) h0)) (/ (sqrt 1) h2) (* (/ (sqrt 1) h0) (/ (sqrt 1) h2))) (fma (/ 1 h0) (/ 1 h1) (- (* (/ 1 h0) (/ 1 h2)))) (fma (- (/ 1 h0)) (/ 1 h2) (* (/ 1 h0) (/ 1 h2))) (fma (/ 1 h0) (/ 1 h1) (- (* (/ 1 (* h2 h0)) 1))) (fma (- (/ 1 (* h2 h0))) 1 (* (/ 1 (* h2 h0)) 1)) (fma (/ 1 h0) (/ 1 h1) (- (* (/ 1 (* h2 h0)) 1))) (fma (- (/ 1 (* h2 h0))) 1 (* (/ 1 (* h2 h0)) 1)) (fma 1 (/ 1 (* h0 h1)) (- (* (cbrt (/ 1 (* h2 h0))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0))))))) (fma (- (cbrt (/ 1 (* h2 h0)))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0)))) (* (cbrt (/ 1 (* h2 h0))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0)))))) (fma 1 (/ 1 (* h0 h1)) (- (* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 1 (* h2 h0)))))) (fma (- (sqrt (/ 1 (* h2 h0)))) (sqrt (/ 1 (* h2 h0))) (* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 1 (* h2 h0))))) (fma 1 (/ 1 (* h0 h1)) (- (* (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) h2)))) (fma (- (/ (cbrt 1) h0)) (/ (* (cbrt 1) (cbrt 1)) h2) (* (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) h2))) (fma 1 (/ 1 (* h0 h1)) (- (* (/ (sqrt 1) h0) (/ (sqrt 1) h2)))) (fma (- (/ (sqrt 1) h0)) (/ (sqrt 1) h2) (* (/ (sqrt 1) h0) (/ (sqrt 1) h2))) (fma 1 (/ 1 (* h0 h1)) (- (* (/ 1 h0) (/ 1 h2)))) (fma (- (/ 1 h0)) (/ 1 h2) (* (/ 1 h0) (/ 1 h2))) (fma 1 (/ 1 (* h0 h1)) (- (* (/ 1 (* h2 h0)) 1))) (fma (- (/ 1 (* h2 h0))) 1 (* (/ 1 (* h2 h0)) 1)) (fma 1 (/ 1 (* h0 h1)) (- (* (/ 1 (* h2 h0)) 1))) (fma (- (/ 1 (* h2 h0))) 1 (* (/ 1 (* h2 h0)) 1)) (fma 1 (/ 1 (* h0 h1)) (- (* (cbrt (/ 1 (* h2 h0))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0))))))) (fma (- (cbrt (/ 1 (* h2 h0)))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0)))) (* (cbrt (/ 1 (* h2 h0))) (* (cbrt (/ 1 (* h2 h0))) (cbrt (/ 1 (* h2 h0)))))) (fma 1 (/ 1 (* h0 h1)) (- (* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 1 (* h2 h0)))))) (fma (- (sqrt (/ 1 (* h2 h0)))) (sqrt (/ 1 (* h2 h0))) (* (sqrt (/ 1 (* h2 h0))) (sqrt (/ 1 (* h2 h0))))) (fma 1 (/ 1 (* h0 h1)) (- (* (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) h2)))) (fma (- (/ (cbrt 1) h0)) (/ (* (cbrt 1) (cbrt 1)) h2) (* (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) h2))) (fma 1 (/ 1 (* h0 h1)) (- (* (/ (sqrt 1) h0) (/ (sqrt 1) h2)))) (fma (- (/ (sqrt 1) h0)) (/ (sqrt 1) h2) (* (/ (sqrt 1) h0) (/ (sqrt 1) h2))) (fma 1 (/ 1 (* h0 h1)) (- (* (/ 1 h0) (/ 1 h2)))) (fma (- (/ 1 h0)) (/ 1 h2) (* (/ 1 h0) (/ 1 h2))) (fma 1 (/ 1 (* h0 h1)) (- (* (/ 1 (* h2 h0)) 1))) (fma (- (/ 1 (* h2 h0))) 1 (* (/ 1 (* h2 h0)) 1)) (fma 1 (/ 1 (* h0 h1)) (- (* (/ 1 (* h2 h0)) 1))) (fma (- (/ 1 (* h2 h0))) 1 (* (/ 1 (* h2 h0)) 1)) (expm1 (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (log1p (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (- (/ 1 (* h2 h0))) (- (/ 1 (* h2 h0))) (- (/ 1 (* h2 h0))) (- (/ 1 (* h2 h0))) (- (/ 1 (* h2 h0))) (- (/ 1 (* h2 h0))) (- (/ 1 (* h2 h0))) (/ (exp (/ 1 (* h0 h1))) (exp (/ 1 (* h2 h0)))) (log (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (exp (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (* (cbrt (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (cbrt (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0))))) (cbrt (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (* (* (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0))) (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (sqrt (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (sqrt (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0)))) (- (* 1 (* h2 h0)) (* (* h0 h1) 1)) (* (* h0 h1) (* h2 h0)) (- (pow (/ 1 (* h0 h1)) 3) (pow (/ 1 (* h2 h0)) 3)) (+ (* (/ 1 (* h0 h1)) (/ 1 (* h0 h1))) (+ (* (/ 1 (* h2 h0)) (/ 1 (* h2 h0))) (* (/ 1 (* h0 h1)) (/ 1 (* h2 h0))))) (- (/ 1 (* h2 h0))) (- (* (/ 1 (* h0 h1)) (/ 1 (* h0 h1))) (* (/ 1 (* h2 h0)) (/ 1 (* h2 h0)))) (+ (/ 1 (* h0 h1)) (/ 1 (* h2 h0))) (+ (sqrt (/ 1 (* h0 h1))) (sqrt (/ 1 (* h2 h0)))) (- (sqrt (/ 1 (* h0 h1))) (sqrt (/ 1 (* h2 h0)))) (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0))) (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0))) (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0))) (- (/ 1 (* h0 h1)) (/ 1 (* h2 h0))) (- (/ 1 (* h2 h0))) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h2))) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h2))) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h2))) 0.310 * * [simplify]: iteration 0 : 287 enodes (cost 1302 ) 0.316 * * [simplify]: iteration 1 : 991 enodes (cost 733 ) 0.338 * * [simplify]: iteration 2 : 5002 enodes (cost 682 ) 0.342 * [simplify]: Simplified to: (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (* (* (cbrt (/ 1 (* 2.0 y))) (cbrt (/ 1 (* 2.0 y)))) (cbrt (/ 1 (* 2.0 y)))) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ (+ (- 1) 1) (* x 2.0)) (expm1 (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log1p (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (log (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (exp (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (pow (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) 3) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (sqrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (* 2.0 (- x y)) (* (* 2.0 y) (* x 2.0)) (- (pow (/ 1 (* 2.0 y)) 3) (pow (/ 1 (* x 2.0)) 3)) (fma (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (/ 1 (* x 2.0)) (/ (/ 1 (* 2.0 y)) (* 2.0 y))) (- (/ 1 (* x 2.0))) (* (/ 1 2.0) (- (/ (/ 1 (* 2.0 y)) y) (/ (/ 1 (* x 2.0)) x))) (+ (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (+ (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (sqrt (/ 1 (* 2.0 y))) (sqrt (/ 1 (* x 2.0)))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))) (- (/ 1 (* x 2.0))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0.342 * * * [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 0.410 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.433 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.457 * * * [progress]: generating series expansions 0.457 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.457 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.457 * [taylor]: Taking taylor expansion of 0.5 in y 0.457 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.457 * [taylor]: Taking taylor expansion of (- x y) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (* x y) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.458 * [taylor]: Taking taylor expansion of 0.5 in x 0.458 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.458 * [taylor]: Taking taylor expansion of (- x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (* x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.458 * [taylor]: Taking taylor expansion of 0.5 in x 0.458 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.458 * [taylor]: Taking taylor expansion of (- x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (* x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of -0.5 in y 0.460 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.460 * [taylor]: Taking taylor expansion of 0.5 in y 0.460 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.465 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.469 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.469 * [taylor]: Taking taylor expansion of 0.5 in y 0.469 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (* x y) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.469 * [taylor]: Taking taylor expansion of 0.5 in x 0.469 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (* x y) in x 0.469 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.469 * [taylor]: Taking taylor expansion of 0.5 in x 0.469 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.470 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (* x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.472 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.472 * [taylor]: Taking taylor expansion of 0.5 in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.477 * [taylor]: Taking taylor expansion of 0.5 in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.490 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.490 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.490 * [taylor]: Taking taylor expansion of 0.5 in y 0.490 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.490 * [taylor]: Taking taylor expansion of x in y 0.490 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.490 * [taylor]: Taking taylor expansion of 0.5 in x 0.490 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.491 * [taylor]: Taking taylor expansion of 0.5 in x 0.491 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.491 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.493 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.493 * [taylor]: Taking taylor expansion of 0.5 in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 0.5 in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.508 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.508 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in (x y) around 0 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in y 0.508 * [taylor]: Taking taylor expansion of 0.5 in y 0.508 * [taylor]: Taking taylor expansion of (/ (- x y) x) in y 0.508 * [taylor]: Taking taylor expansion of (- x y) in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of x in y 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.508 * [taylor]: Taking taylor expansion of 0.5 in x 0.508 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.509 * [taylor]: Taking taylor expansion of (- x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) x)) in x 0.509 * [taylor]: Taking taylor expansion of 0.5 in x 0.509 * [taylor]: Taking taylor expansion of (/ (- x y) x) in x 0.509 * [taylor]: Taking taylor expansion of (- x y) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (* -0.5 y) in y 0.509 * [taylor]: Taking taylor expansion of -0.5 in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of 0.5 in y 0.513 * [taylor]: Taking taylor expansion of 0 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.516 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in y 0.516 * [taylor]: Taking taylor expansion of 0.5 in y 0.516 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.516 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of x in y 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.516 * [taylor]: Taking taylor expansion of 0.5 in x 0.516 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.516 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.517 * [taylor]: Taking taylor expansion of 0.5 in x 0.517 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.517 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of 0.5 in y 0.521 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.521 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.521 * [taylor]: Taking taylor expansion of 0.5 in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of 0 in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.529 * [approximate]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.529 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in y 0.529 * [taylor]: Taking taylor expansion of -0.5 in y 0.529 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.529 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.529 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.529 * [taylor]: Taking taylor expansion of -0.5 in x 0.529 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (* -0.5 (* x (- (/ 1 y) (/ 1 x)))) in x 0.530 * [taylor]: Taking taylor expansion of -0.5 in x 0.530 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.530 * [taylor]: Taking taylor expansion of y in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [taylor]: Taking taylor expansion of 0.5 in y 0.535 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 y))) in y 0.535 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.535 * [taylor]: Taking taylor expansion of 0.5 in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.543 * * * [progress]: simplifying candidates 0.544 * [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) (/ (/ x (* x 2.0)) y) (/ (/ 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) (/ (/ (+ (sqrt x) (sqrt y)) x) (* (cbrt y) (cbrt y))) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (cbrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) (sqrt y)) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (sqrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) 1) (/ (/ (- (sqrt x) (sqrt 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 (/ (- (sqrt x) (sqrt 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)) (/ x (* x 2.0)) (/ 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) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt 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) (- (sqrt x) (sqrt 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 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 0.545 * [simplify]: Sending expressions to egg_math: (expm1 (/ (/ (- h0 h1) (* h0 h2)) h1)) (log1p (/ (/ (- h0 h1) (* h0 h2)) h1)) (- (- (log (- h0 h1)) (+ (log h0) (log h2))) (log h1)) (- (- (log (- h0 h1)) (log (* h0 h2))) (log h1)) (- (log (/ (- h0 h1) (* h0 h2))) (log h1)) (log (/ (/ (- h0 h1) (* h0 h2)) h1)) (exp (/ (/ (- h0 h1) (* h0 h2)) h1)) (/ (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (* h0 h0) h0) (* (* h2 h2) h2))) (* (* h1 h1) h1)) (/ (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (* h0 h2) (* h0 h2)) (* h0 h2))) (* (* h1 h1) h1)) (/ (* (* (/ (- h0 h1) (* h0 h2)) (/ (- h0 h1) (* h0 h2))) (/ (- h0 h1) (* h0 h2))) (* (* h1 h1) h1)) (* (cbrt (/ (/ (- h0 h1) (* h0 h2)) h1)) (cbrt (/ (/ (- h0 h1) (* h0 h2)) h1))) (cbrt (/ (/ (- h0 h1) (* h0 h2)) h1)) (* (* (/ (/ (- h0 h1) (* h0 h2)) h1) (/ (/ (- h0 h1) (* h0 h2)) h1)) (/ (/ (- h0 h1) (* h0 h2)) h1)) (sqrt (/ (/ (- h0 h1) (* h0 h2)) h1)) (sqrt (/ (/ (- h0 h1) (* h0 h2)) h1)) (- (/ (- h0 h1) (* h0 h2))) (- h1) (/ (/ h0 (* h0 h2)) h1) (/ (/ h1 (* h0 h2)) h1) (/ (* (cbrt (/ (- h0 h1) (* h0 h2))) (cbrt (/ (- h0 h1) (* h0 h2)))) (* (cbrt h1) (cbrt h1))) (/ (cbrt (/ (- h0 h1) (* h0 h2))) (cbrt h1)) (/ (* (cbrt (/ (- h0 h1) (* h0 h2))) (cbrt (/ (- h0 h1) (* h0 h2)))) (sqrt h1)) (/ (cbrt (/ (- h0 h1) (* h0 h2))) (sqrt h1)) (/ (* (cbrt (/ (- h0 h1) (* h0 h2))) (cbrt (/ (- h0 h1) (* h0 h2)))) 1) (/ (cbrt (/ (- h0 h1) (* h0 h2))) h1) (/ (sqrt (/ (- h0 h1) (* h0 h2))) (* (cbrt h1) (cbrt h1))) (/ (sqrt (/ (- h0 h1) (* h0 h2))) (cbrt h1)) (/ (sqrt (/ (- h0 h1) (* h0 h2))) (sqrt h1)) (/ (sqrt (/ (- h0 h1) (* h0 h2))) (sqrt h1)) (/ (sqrt (/ (- h0 h1) (* h0 h2))) 1) (/ (sqrt (/ (- h0 h1) (* h0 h2))) h1) (/ (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) h0) (* (cbrt h1) (cbrt h1))) (/ (/ (cbrt (- h0 h1)) h2) (cbrt h1)) (/ (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) h0) (sqrt h1)) (/ (/ (cbrt (- h0 h1)) h2) (sqrt h1)) (/ (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) h0) 1) (/ (/ (cbrt (- h0 h1)) h2) h1) (/ (/ (sqrt (- h0 h1)) h0) (* (cbrt h1) (cbrt h1))) (/ (/ (sqrt (- h0 h1)) h2) (cbrt h1)) (/ (/ (sqrt (- h0 h1)) h0) (sqrt h1)) (/ (/ (sqrt (- h0 h1)) h2) (sqrt h1)) (/ (/ (sqrt (- h0 h1)) h0) 1) (/ (/ (sqrt (- h0 h1)) h2) h1) (/ (/ 1 h0) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 h1) h2) (cbrt h1)) (/ (/ 1 h0) (sqrt h1)) (/ (/ (- h0 h1) h2) (sqrt h1)) (/ (/ 1 h0) 1) (/ (/ (- h0 h1) h2) h1) (/ (/ (+ (sqrt h0) (sqrt h1)) h0) (* (cbrt h1) (cbrt h1))) (/ (/ (- (sqrt h0) (sqrt h1)) h2) (cbrt h1)) (/ (/ (+ (sqrt h0) (sqrt h1)) h0) (sqrt h1)) (/ (/ (- (sqrt h0) (sqrt h1)) h2) (sqrt h1)) (/ (/ (+ (sqrt h0) (sqrt h1)) h0) 1) (/ (/ (- (sqrt h0) (sqrt h1)) h2) h1) (/ (/ 1 h0) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 h1) h2) (cbrt h1)) (/ (/ 1 h0) (sqrt h1)) (/ (/ (- h0 h1) h2) (sqrt h1)) (/ (/ 1 h0) 1) (/ (/ (- h0 h1) h2) h1) (/ 1 (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 h1) (* h0 h2)) (cbrt h1)) (/ 1 (sqrt h1)) (/ (/ (- h0 h1) (* h0 h2)) (sqrt h1)) (/ 1 1) (/ (/ (- h0 h1) (* h0 h2)) h1) (/ (- h0 h1) (* (cbrt h1) (cbrt h1))) (/ (/ 1 (* h0 h2)) (cbrt h1)) (/ (- h0 h1) (sqrt h1)) (/ (/ 1 (* h0 h2)) (sqrt h1)) (/ (- h0 h1) 1) (/ (/ 1 (* h0 h2)) h1) (/ 1 h1) (/ h1 (/ (- h0 h1) (* h0 h2))) (/ (/ (- h0 h1) (* h0 h2)) (* (cbrt h1) (cbrt h1))) (/ (/ (- h0 h1) (* h0 h2)) (sqrt h1)) (/ (/ (- h0 h1) (* h0 h2)) 1) (/ h1 (cbrt (/ (- h0 h1) (* h0 h2)))) (/ h1 (sqrt (/ (- h0 h1) (* h0 h2)))) (/ h1 (/ (cbrt (- h0 h1)) h2)) (/ h1 (/ (sqrt (- h0 h1)) h2)) (/ h1 (/ (- h0 h1) h2)) (/ h1 (/ (- (sqrt h0) (sqrt h1)) h2)) (/ h1 (/ (- h0 h1) h2)) (/ h1 (/ (- h0 h1) (* h0 h2))) (/ h1 (/ 1 (* h0 h2))) (* h1 (* h0 h2)) (expm1 (/ (- h0 h1) (* h0 h2))) (log1p (/ (- h0 h1) (* h0 h2))) (- (log (- h0 h1)) (+ (log h0) (log h2))) (- (log (- h0 h1)) (log (* h0 h2))) (log (/ (- h0 h1) (* h0 h2))) (exp (/ (- h0 h1) (* h0 h2))) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (* h0 h0) h0) (* (* h2 h2) h2))) (/ (* (* (- h0 h1) (- h0 h1)) (- h0 h1)) (* (* (* h0 h2) (* h0 h2)) (* h0 h2))) (* (cbrt (/ (- h0 h1) (* h0 h2))) (cbrt (/ (- h0 h1) (* h0 h2)))) (cbrt (/ (- h0 h1) (* h0 h2))) (* (* (/ (- h0 h1) (* h0 h2)) (/ (- h0 h1) (* h0 h2))) (/ (- h0 h1) (* h0 h2))) (sqrt (/ (- h0 h1) (* h0 h2))) (sqrt (/ (- h0 h1) (* h0 h2))) (- (- h0 h1)) (- (* h0 h2)) (/ h0 (* h0 h2)) (/ h1 (* h0 h2)) (/ (* (cbrt (- h0 h1)) (cbrt (- h0 h1))) h0) (/ (cbrt (- h0 h1)) h2) (/ (sqrt (- h0 h1)) h0) (/ (sqrt (- h0 h1)) h2) (/ 1 h0) (/ (- h0 h1) h2) (/ (+ (sqrt h0) (sqrt h1)) h0) (/ (- (sqrt h0) (sqrt h1)) h2) (/ 1 h0) (/ (- h0 h1) h2) (/ 1 (* h0 h2)) (/ (* h0 h2) (- h0 h1)) (/ (- h0 h1) h0) (/ (* h0 h2) (cbrt (- h0 h1))) (/ (* h0 h2) (sqrt (- h0 h1))) (/ (* h0 h2) (- h0 h1)) (/ (* h0 h2) (- (sqrt h0) (sqrt h1))) (/ (* h0 h2) (- h0 h1)) (* (* h0 h2) (+ (* h0 h0) (+ (* h1 h1) (* h0 h1)))) (* (* h0 h2) (+ h0 h1)) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (- (* h3 (/ 1 h1)) (* h3 (/ 1 h0))) (- h3 (* h3 (/ h1 h0))) (- h3 (* h3 (/ h1 h0))) (- h3 (* h3 (/ h1 h0))) 0.550 * * [simplify]: iteration 0 : 386 enodes (cost 623 ) 0.556 * * [simplify]: iteration 1 : 1500 enodes (cost 563 ) 0.580 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.583 * [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) (/ 1 (* y 2.0)) (/ 1 (* x 2.0)) (/ (* (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) (/ (/ (+ (sqrt x) (sqrt y)) x) (* (cbrt y) (cbrt y))) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (cbrt y)) (/ (/ (+ (sqrt x) (sqrt y)) x) (sqrt y)) (/ (/ (- (sqrt x) (sqrt y)) 2.0) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) x) (/ (/ (- (sqrt x) (sqrt 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 (/ (- (sqrt x) (sqrt 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)) (/ 1 2.0) (/ 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) (/ (+ (sqrt x) (sqrt y)) x) (/ (- (sqrt x) (sqrt 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) (- (sqrt x) (sqrt y))) (/ (* x 2.0) (- x y)) (* x (* 2.0 (fma x x (fma y y (* x y))))) (* (* x 2.0) (+ x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) (- 0.5 (* 0.5 (/ y x))) 0.584 * * * [progress]: adding candidates to table 0.761 * * [progress]: iteration 4 / 4 0.761 * * * [progress]: picking best candidate 0.762 * * * * [pick]: Picked # 0.763 * * * [progress]: localizing error 0.769 * * * [progress]: generating rewritten candidates 0.770 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.816 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.942 * * * [progress]: generating series expansions 0.942 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.942 * [approximate]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in (x y) around 0 0.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in y 0.942 * [taylor]: Taking taylor expansion of 0.5 in y 0.942 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in y 0.942 * [taylor]: Taking taylor expansion of (- x y) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (* x y) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.943 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.943 * [taylor]: Taking taylor expansion of 0.5 in x 0.943 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.943 * [taylor]: Taking taylor expansion of (- x y) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (* x y) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- x y) (* x y))) in x 0.943 * [taylor]: Taking taylor expansion of 0.5 in x 0.943 * [taylor]: Taking taylor expansion of (/ (- x y) (* x y)) in x 0.943 * [taylor]: Taking taylor expansion of (- x y) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of (* x y) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.954 * [taylor]: Taking taylor expansion of -0.5 in y 0.956 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 y)) in y 0.956 * [taylor]: Taking taylor expansion of 0.5 in y 0.956 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.956 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.961 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [approximate]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.964 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.964 * [taylor]: Taking taylor expansion of 0.5 in y 0.964 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.964 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.964 * [taylor]: Taking taylor expansion of x in y 0.964 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.964 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (* x y) in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.965 * [taylor]: Taking taylor expansion of 0.5 in x 0.965 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.965 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.965 * [taylor]: Taking taylor expansion of (* x y) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.965 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.965 * [taylor]: Taking taylor expansion of 0.5 in x 0.965 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.965 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of (* x y) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [taylor]: Taking taylor expansion of 0 in y 0.967 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.967 * [taylor]: Taking taylor expansion of 0.5 in y 0.967 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of (- 0.5) in y 0.970 * [taylor]: Taking taylor expansion of 0.5 in y 0.973 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [taylor]: Taking taylor expansion of 0 in y 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.983 * [approximate]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.983 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.983 * [taylor]: Taking taylor expansion of 0.5 in y 0.983 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.983 * [taylor]: Taking taylor expansion of x in y 0.983 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.983 * [taylor]: Taking taylor expansion of x in y 0.983 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.983 * [taylor]: Taking taylor expansion of 0.5 in x 0.984 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.984 * [taylor]: Taking taylor expansion of y 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 0.984 * [taylor]: Taking taylor expansion of (* 0.5 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.984 * [taylor]: Taking taylor expansion of 0.5 in x 0.984 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.984 * [taylor]: Taking taylor expansion of y 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 0 in y 0.986 * [taylor]: Taking taylor expansion of (- (* 0.5 y)) in y 0.986 * [taylor]: Taking taylor expansion of (* 0.5 y) in y 0.986 * [taylor]: Taking taylor expansion of 0.5 in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of 0.5 in y 0.992 * [taylor]: Taking taylor expansion of 0 in y 0.996 * [taylor]: Taking taylor expansion of 0 in y 1.001 * [taylor]: Taking taylor expansion of 0 in y 1.001 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.001 * [approximate]: Taking taylor expansion of (* 2.0 (/ y (- x y))) in (y x) around 0 1.002 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (- x y))) in x 1.002 * [taylor]: Taking taylor expansion of 2.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of (- x y) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (- x y))) in y 1.002 * [taylor]: Taking taylor expansion of 2.0 in y 1.002 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (- x y) in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (* 2.0 (/ y (- x y))) in y 1.002 * [taylor]: Taking taylor expansion of 2.0 in y 1.002 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (- x y) in y 1.002 * [taylor]: Taking taylor expansion of x in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [taylor]: Taking taylor expansion of (/ 2.0 x) in x 1.003 * [taylor]: Taking taylor expansion of 2.0 in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 1.004 * [taylor]: Taking taylor expansion of 2.0 in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.004 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 3))) in x 1.008 * [taylor]: Taking taylor expansion of 2.0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.015 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 1.015 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) y)) in x 1.015 * [taylor]: Taking taylor expansion of 2.0 in x 1.015 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 1.015 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) y)) in y 1.016 * [taylor]: Taking taylor expansion of 2.0 in y 1.016 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 1.016 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.016 * [taylor]: Taking taylor expansion of x in y 1.016 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.016 * [taylor]: Taking taylor expansion of y in y 1.018 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) y)) in y 1.018 * [taylor]: Taking taylor expansion of 2.0 in y 1.018 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 1.018 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.018 * [taylor]: Taking taylor expansion of x in y 1.018 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.018 * [taylor]: Taking taylor expansion of y in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.021 * [taylor]: Taking taylor expansion of -2.0 in x 1.023 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 1.023 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.023 * [taylor]: Taking taylor expansion of 2.0 in x 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.023 * [taylor]: Taking taylor expansion of x in x 1.027 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 1.027 * [taylor]: Taking taylor expansion of 2.0 in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.027 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.032 * [approximate]: Taking taylor expansion of (/ -2.0 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 1.032 * [taylor]: Taking taylor expansion of (/ -2.0 (* y (- (/ 1 y) (/ 1 x)))) in x 1.032 * [taylor]: Taking taylor expansion of -2.0 in x 1.032 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (/ -2.0 (* y (- (/ 1 y) (/ 1 x)))) in y 1.033 * [taylor]: Taking taylor expansion of -2.0 in y 1.033 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.033 * [taylor]: Taking taylor expansion of y in y 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.033 * [taylor]: Taking taylor expansion of x in y 1.035 * [taylor]: Taking taylor expansion of (/ -2.0 (* y (- (/ 1 y) (/ 1 x)))) in y 1.035 * [taylor]: Taking taylor expansion of -2.0 in y 1.035 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.035 * [taylor]: Taking taylor expansion of x in y 1.036 * [taylor]: Taking taylor expansion of -2.0 in x 1.043 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 x))) in x 1.043 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.043 * [taylor]: Taking taylor expansion of 2.0 in x 1.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow x 2)))) in x 1.047 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow x 2))) in x 1.047 * [taylor]: Taking taylor expansion of 2.0 in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.052 * * * [progress]: simplifying candidates 1.072 * [simplify]: Simplifying using # : (expm1 (/ (/ 1 x) (/ y (/ (- x y) 2.0)))) (log1p (/ (/ 1 x) (/ y (/ (- x y) 2.0)))) (- (- (log x)) (- (log y) (- (log (- x y)) (log 2.0)))) (- (- (log x)) (- (log y) (log (/ (- x y) 2.0)))) (- (- (log x)) (log (/ y (/ (- x y) 2.0)))) (- (- 0 (log x)) (- (log y) (- (log (- x y)) (log 2.0)))) (- (- 0 (log x)) (- (log y) (log (/ (- x y) 2.0)))) (- (- 0 (log x)) (log (/ y (/ (- x y) 2.0)))) (- (- (log 1) (log x)) (- (log y) (- (log (- x y)) (log 2.0)))) (- (- (log 1) (log x)) (- (log y) (log (/ (- x y) 2.0)))) (- (- (log 1) (log x)) (log (/ y (/ (- x 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y (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt 2.0) (cbrt 2.0)))) (/ y (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt 2.0))) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (/ (sqrt (- x y)) (* (cbrt 2.0) (cbrt 2.0)))) (/ y (/ (sqrt (- x y)) (sqrt 2.0))) (/ y (sqrt (- x y))) (* y (* (cbrt 2.0) (cbrt 2.0))) (* y (sqrt 2.0)) y (/ y (/ (+ (sqrt x) (sqrt y)) (* (cbrt 2.0) (cbrt 2.0)))) (/ y (/ (+ (sqrt x) (sqrt y)) (sqrt 2.0))) (/ y (+ (sqrt x) (sqrt y))) (* y (* (cbrt 2.0) (cbrt 2.0))) (* y (sqrt 2.0)) y y (/ y (- x y)) (/ (/ (- x y) 2.0) (cbrt y)) (/ (/ (- x y) 2.0) (sqrt y)) (/ (/ (- x y) 2.0) y) (/ y (- x y)) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) (* 0.5 (- (/ 1 y) (/ 1 x))) 0 0 0 1.256 * * * [progress]: adding candidates to table 2.926 * [progress]: [Phase 3 of 3] Extracting. 2.926 * * [regime]: Finding splitpoints for: (# #) 2.926 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.926 * * * * [regimes]: Trying to branch on y from (# #) 2.936 * * * * [regimes]: Trying to branch on x from (# #) 2.950 * * * [regime]: Found split indices: #