15.895 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.013 * [progress]: [Phase 2 of 3] Improving. 0.013 * [simplify]: Simplifying using # : (/ (* (* x 2.0) y) (- x y)) 0.016 * * [simplify]: iteration 0 : 15 enodes (cost 4 ) 0.017 * * [simplify]: iteration 1 : 36 enodes (cost 4 ) 0.019 * * [simplify]: iteration 2 : 73 enodes (cost 4 ) 0.021 * * [simplify]: iteration 3 : 127 enodes (cost 4 ) 0.023 * * [simplify]: iteration 4 : 167 enodes (cost 4 ) 0.025 * * [simplify]: iteration 5 : 185 enodes (cost 4 ) 0.027 * * [simplify]: iteration 6 : 187 enodes (cost 4 ) 0.030 * * [simplify]: iteration 7 : 187 enodes (cost 4 ) 0.030 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.048 * * * [progress]: generating series expansions 0.048 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.048 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.048 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.048 * [taylor]: Taking taylor expansion of 2.0 in y 0.048 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.048 * [taylor]: Taking taylor expansion of (* x y) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (- x y) in y 0.049 * [taylor]: Taking taylor expansion of x in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.049 * [taylor]: Taking taylor expansion of 2.0 in x 0.049 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.049 * [taylor]: Taking taylor expansion of (* x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.049 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (- x y) in x 0.049 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.050 * [taylor]: Taking taylor expansion of 2.0 in x 0.050 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.050 * [taylor]: Taking taylor expansion of (* x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (- x y) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of -2.0 in y 0.052 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.052 * [taylor]: Taking taylor expansion of 2.0 in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.056 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.056 * [taylor]: Taking taylor expansion of 2.0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.061 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.061 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.061 * [taylor]: Taking taylor expansion of 2.0 in y 0.061 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.061 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (* x y) in y 0.061 * [taylor]: Taking taylor expansion of x in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.063 * [taylor]: Taking taylor expansion of 2.0 in x 0.063 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.063 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.065 * [taylor]: Taking taylor expansion of 2.0 in x 0.066 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.066 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (* x y) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.067 * [taylor]: Taking taylor expansion of 2.0 in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.070 * [taylor]: Taking taylor expansion of 2.0 in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.087 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.087 * [taylor]: Taking taylor expansion of 2.0 in y 0.087 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in x 0.092 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.094 * [taylor]: Taking taylor expansion of -2.0 in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.096 * [taylor]: Taking taylor expansion of 2.0 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.102 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.110 * * * [progress]: simplifying candidates 0.110 * [simplify]: Simplifying using # : (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- 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))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) 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)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (* (* (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- x y))) (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) 1) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) 1) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.114 * * [simplify]: iteration 0 : 214 enodes (cost 194 ) 0.120 * * [simplify]: iteration 1 : 1150 enodes (cost 161 ) 0.143 * * [simplify]: iteration 2 : 5001 enodes (cost 161 ) 0.145 * [simplify]: Simplified to: (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (* x 2.0) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (* x 2.0) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (* (* x 2.0) y) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (* (* x 2.0) y) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.145 * * * [progress]: adding candidates to table 0.196 * * [progress]: iteration 2 / 4 0.196 * * * [progress]: picking best candidate 0.201 * * * * [pick]: Picked # 0.201 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.207 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.222 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.233 * * * [progress]: generating series expansions 0.233 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.233 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.233 * [taylor]: Taking taylor expansion of 2.0 in y 0.233 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.233 * [taylor]: Taking taylor expansion of (* x y) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (- x y) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.234 * [taylor]: Taking taylor expansion of 2.0 in x 0.234 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.234 * [taylor]: Taking taylor expansion of (* x y) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (- x y) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.235 * [taylor]: Taking taylor expansion of 2.0 in x 0.235 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.235 * [taylor]: Taking taylor expansion of (* x y) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of (- x y) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.236 * [taylor]: Taking taylor expansion of -2.0 in y 0.237 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.237 * [taylor]: Taking taylor expansion of 2.0 in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.241 * [taylor]: Taking taylor expansion of 2.0 in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.247 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.247 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.247 * [taylor]: Taking taylor expansion of 2.0 in y 0.247 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.247 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (* x y) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.249 * [taylor]: Taking taylor expansion of 2.0 in x 0.249 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.249 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.249 * [taylor]: Taking taylor expansion of (* x y) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.251 * [taylor]: Taking taylor expansion of 2.0 in x 0.251 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [taylor]: Taking taylor expansion of (* x y) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.253 * [taylor]: Taking taylor expansion of 2.0 in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.256 * [taylor]: Taking taylor expansion of 2.0 in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.262 * [taylor]: Taking taylor expansion of 2.0 in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.262 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.269 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.270 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.270 * [taylor]: Taking taylor expansion of 2.0 in y 0.270 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.270 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.270 * [taylor]: Taking taylor expansion of x in y 0.272 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.272 * [taylor]: Taking taylor expansion of 2.0 in x 0.272 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.274 * [taylor]: Taking taylor expansion of 2.0 in x 0.274 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.276 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.276 * [taylor]: Taking taylor expansion of -2.0 in y 0.276 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.279 * [taylor]: Taking taylor expansion of 2.0 in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.285 * [taylor]: Taking taylor expansion of 2.0 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.293 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.293 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 0.293 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (- x y) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.293 * [taylor]: Taking taylor expansion of (- x y) in y 0.293 * [taylor]: Taking taylor expansion of x in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (- x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.299 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.305 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.305 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 0.305 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.305 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.306 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.306 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.308 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.308 * [taylor]: Taking taylor expansion of x in y 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.308 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of -1 in x 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.316 * [taylor]: Taking taylor expansion of x in x 0.319 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.324 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 0.324 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.325 * [taylor]: Taking taylor expansion of -1 in y 0.325 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.327 * [taylor]: Taking taylor expansion of -1 in y 0.327 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of -1 in x 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.339 * * * [progress]: simplifying candidates 0.340 * [simplify]: Simplifying using # : (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (+ (+ (log x) (log 2.0)) (- (log y) (log (- x y)))) (+ (+ (log x) (log 2.0)) (log (/ y (- x y)))) (+ (log (* x 2.0)) (- (log y) (log (- x y)))) (+ (log (* x 2.0)) (log (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ 1 (sqrt (- x y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) (/ 1 (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) 1) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (- (log y) (log (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y))) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) (/ 1 1) (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ 1 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) (/ y 1) (/ y (+ (sqrt x) (sqrt y))) (/ y 1) (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 0.345 * * [simplify]: iteration 0 : 315 enodes (cost 451 ) 0.353 * * [simplify]: iteration 1 : 1665 enodes (cost 401 ) 0.383 * * [simplify]: iteration 2 : 5001 enodes (cost 401 ) 0.385 * [simplify]: Simplified to: (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* x (* 2.0 (* (cbrt y) (cbrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* x (* 2.0 (* (cbrt y) (cbrt y)))) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* x (* 2.0 (sqrt y))) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* x (* 2.0 (sqrt y))) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (sqrt (- x y))) (* x 2.0) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (* x 2.0) (* x 2.0) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (log (/ y (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (pow (/ y (- x y)) 3) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (pow (/ y (- x y)) 3) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (sqrt y) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (sqrt y) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) 1 (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) 1 (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) y (/ y (+ (sqrt x) (sqrt y))) y (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 0.385 * * * [progress]: adding candidates to table 0.523 * * [progress]: iteration 3 / 4 0.523 * * * [progress]: picking best candidate 0.528 * * * * [pick]: Picked # 0.528 * * * [progress]: localizing error 0.535 * * * [progress]: generating rewritten candidates 0.535 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.544 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.556 * * * [progress]: generating series expansions 0.556 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.556 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.556 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.556 * [taylor]: Taking taylor expansion of 2.0 in y 0.556 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.556 * [taylor]: Taking taylor expansion of (* x y) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (- x y) in y 0.557 * [taylor]: Taking taylor expansion of x in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.558 * [taylor]: Taking taylor expansion of 2.0 in x 0.558 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.558 * [taylor]: Taking taylor expansion of (* x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (- x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.558 * [taylor]: Taking taylor expansion of 2.0 in x 0.558 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.558 * [taylor]: Taking taylor expansion of (* x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (- x y) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of -2.0 in y 0.560 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.560 * [taylor]: Taking taylor expansion of 2.0 in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.564 * [taylor]: Taking taylor expansion of 2.0 in y 0.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.569 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.569 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.569 * [taylor]: Taking taylor expansion of 2.0 in y 0.569 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.569 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.569 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (* x y) in y 0.570 * [taylor]: Taking taylor expansion of x in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.572 * [taylor]: Taking taylor expansion of 2.0 in x 0.572 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.572 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (* x y) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.573 * [taylor]: Taking taylor expansion of 2.0 in x 0.573 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.573 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of (* x y) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.575 * [taylor]: Taking taylor expansion of 2.0 in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.578 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.578 * [taylor]: Taking taylor expansion of 2.0 in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.578 * [taylor]: Taking taylor expansion of y in y 0.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.584 * [taylor]: Taking taylor expansion of 2.0 in y 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.584 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.584 * [taylor]: Taking taylor expansion of y in y 0.592 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.592 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.592 * [taylor]: Taking taylor expansion of 2.0 in y 0.592 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.592 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.592 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.594 * [taylor]: Taking taylor expansion of 2.0 in x 0.594 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.596 * [taylor]: Taking taylor expansion of 2.0 in x 0.596 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.602 * [taylor]: Taking taylor expansion of -2.0 in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.605 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.605 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.605 * [taylor]: Taking taylor expansion of 2.0 in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.611 * [taylor]: Taking taylor expansion of 2.0 in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.611 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.618 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.619 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 0.619 * [taylor]: Taking taylor expansion of (- x y) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.619 * [taylor]: Taking taylor expansion of (- x y) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 0.619 * [taylor]: Taking taylor expansion of (- x y) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of -1 in y 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.620 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.622 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [taylor]: Taking taylor expansion of 0 in y 0.623 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.623 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.623 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.624 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.624 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.624 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.625 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (- 1) in y 0.625 * [taylor]: Taking taylor expansion of 1 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.631 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.631 * [taylor]: Taking taylor expansion of -1 in y 0.631 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.631 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.632 * [taylor]: Taking taylor expansion of x in y 0.632 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.632 * [taylor]: Taking taylor expansion of -1 in x 0.632 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.632 * [taylor]: Taking taylor expansion of -1 in x 0.632 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (- 1) in y 0.635 * [taylor]: Taking taylor expansion of 1 in y 0.636 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.642 * * * [progress]: simplifying candidates 0.644 * [simplify]: Simplifying using # : (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (- (+ (log x) (log 2.0)) (- (log (- x y)) (log y))) (- (+ (log x) (log 2.0)) (log (/ (- x y) y))) (- (log (* x 2.0)) (- (log (- x y)) (log y))) (- (log (* x 2.0)) (log (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (* (* (/ (* x 2.0) (/ (- x y) y)) (/ (* x 2.0) (/ (- x y) y))) (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 1)) (/ 2.0 (/ (sqrt (- x y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 1)) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x 1) (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (/ 2.0 (/ 1 y)) (/ 1 (/ (- x y) y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ (* x 2.0) (/ (sqrt (- x y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) 1) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (- (log (- x y)) (log y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y)) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y)) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) (/ y y) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (- x y)) (cbrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y)) (/ (cbrt (- x y)) (sqrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (- x y)) (cbrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x y) y) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (/ (- x y) 1) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* y (+ (* x x) (+ (* y y) (* x y)))) (* y (+ x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.650 * * [simplify]: iteration 0 : 392 enodes (cost 620 ) 0.658 * * [simplify]: iteration 1 : 1920 enodes (cost 563 ) 0.692 * * [simplify]: iteration 2 : 5001 enodes (cost 562 ) 0.695 * [simplify]: Simplified to: (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (sqrt (- x y))) (/ 2.0 (/ (sqrt (- x y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) x (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (* y 2.0) (/ y (- x y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 2.0)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 2.0)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 2.0)) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (* x 2.0) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (log (/ (- x y) y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (pow (- (/ x y) 1) 3) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (pow (- (/ x y) 1) 3) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) 1 (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (- x y)) (cbrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y)) (/ (cbrt (- x y)) (sqrt y)) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (- x y)) (cbrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) (sqrt y)) (sqrt (- x y)) (/ (sqrt (- x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (- (/ (sqrt x) (sqrt y)) 1) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (- x y) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* (fma x x (fma y y (* x y))) y) (fma y y (* x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 0.695 * * * [progress]: adding candidates to table 0.870 * * [progress]: iteration 4 / 4 0.870 * * * [progress]: picking best candidate 0.871 * * * * [pick]: Picked # 0.871 * * * [progress]: localizing error 0.877 * * * [progress]: generating rewritten candidates 0.877 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.896 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.905 * * * [progress]: generating series expansions 0.905 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.905 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.905 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.905 * [taylor]: Taking taylor expansion of 2.0 in y 0.905 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.905 * [taylor]: Taking taylor expansion of (* x y) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.905 * [taylor]: Taking taylor expansion of (- x y) in y 0.905 * [taylor]: Taking taylor expansion of x in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.906 * [taylor]: Taking taylor expansion of 2.0 in x 0.906 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.906 * [taylor]: Taking taylor expansion of (* x y) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (- x y) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.907 * [taylor]: Taking taylor expansion of 2.0 in x 0.907 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.907 * [taylor]: Taking taylor expansion of (* x y) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of (- x y) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [taylor]: Taking taylor expansion of -2.0 in y 0.909 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.909 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.909 * [taylor]: Taking taylor expansion of 2.0 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.913 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.913 * [taylor]: Taking taylor expansion of 2.0 in y 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.919 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.919 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.919 * [taylor]: Taking taylor expansion of 2.0 in y 0.919 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.919 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [taylor]: Taking taylor expansion of (* x y) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.921 * [taylor]: Taking taylor expansion of 2.0 in x 0.921 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.921 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (* x y) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.923 * [taylor]: Taking taylor expansion of 2.0 in x 0.923 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.923 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (* x y) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.925 * [taylor]: Taking taylor expansion of 2.0 in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.928 * [taylor]: Taking taylor expansion of 2.0 in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.934 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.934 * [taylor]: Taking taylor expansion of 2.0 in y 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.934 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.934 * [taylor]: Taking taylor expansion of y in y 0.942 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.942 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.942 * [taylor]: Taking taylor expansion of 2.0 in y 0.942 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.942 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.942 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.942 * [taylor]: Taking taylor expansion of y in y 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.942 * [taylor]: Taking taylor expansion of x in y 0.944 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.944 * [taylor]: Taking taylor expansion of 2.0 in x 0.944 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.944 * [taylor]: Taking taylor expansion of y in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.949 * [taylor]: Taking taylor expansion of 2.0 in x 0.949 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.949 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.949 * [taylor]: Taking taylor expansion of y in x 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.949 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.952 * [taylor]: Taking taylor expansion of -2.0 in y 0.952 * [taylor]: Taking taylor expansion of y in y 0.955 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.955 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.955 * [taylor]: Taking taylor expansion of 2.0 in y 0.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.955 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.955 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.961 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.961 * [taylor]: Taking taylor expansion of 2.0 in y 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.961 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.961 * [taylor]: Taking taylor expansion of y in y 0.970 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.970 * [approximate]: Taking taylor expansion of (/ x (- x y)) in (x y) around 0 0.970 * [taylor]: Taking taylor expansion of (/ x (- x y)) in y 0.970 * [taylor]: Taking taylor expansion of x in y 0.970 * [taylor]: Taking taylor expansion of (- x y) in y 0.970 * [taylor]: Taking taylor expansion of x in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.970 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (- x y) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of (- x y) in x 0.970 * [taylor]: Taking taylor expansion of x in x 0.970 * [taylor]: Taking taylor expansion of y in x 0.970 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.970 * [taylor]: Taking taylor expansion of -1 in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.972 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.972 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.975 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.976 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.983 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.983 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in y 0.983 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 0.983 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 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 (/ 1 y) in y 0.983 * [taylor]: Taking taylor expansion of y in y 0.983 * [taylor]: Taking taylor expansion of x in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.984 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.984 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 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 (/ 1 y) in x 0.984 * [taylor]: Taking taylor expansion of y in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 0.986 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 0.986 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.986 * [taylor]: Taking taylor expansion of y in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of 1 in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.992 * [taylor]: Taking taylor expansion of y in y 0.996 * [approximate]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.996 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in y 0.996 * [taylor]: Taking taylor expansion of -1 in y 0.996 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 0.996 * [taylor]: Taking taylor expansion of x in y 0.996 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.996 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.996 * [taylor]: Taking taylor expansion of y in y 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.997 * [taylor]: Taking taylor expansion of x in y 0.997 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 0.997 * [taylor]: Taking taylor expansion of -1 in x 0.997 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.997 * [taylor]: Taking taylor expansion of y in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 1.000 * [taylor]: Taking taylor expansion of -1 in x 1.000 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.000 * [taylor]: Taking taylor expansion of y in x 1.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of 1 in y 1.004 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.004 * [taylor]: Taking taylor expansion of y in y 1.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.012 * * * [progress]: simplifying candidates 1.013 * [simplify]: Simplifying using # : (expm1 (* (/ x (- x y)) (* y 2.0))) (log1p (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (+ (- (log x) (log (- x y))) (+ (log y) (log 2.0))) (+ (- (log x) (log (- x y))) (log (* y 2.0))) (+ (log (/ x (- x y))) (+ (log y) (log 2.0))) (+ (log (/ x (- x y))) (log (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (exp (* (/ x (- x y)) (* y 2.0))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (cbrt (* (/ x (- x y)) (* y 2.0))) (cbrt (* (/ x (- x y)) (* y 2.0)))) (cbrt (* (/ x (- x y)) (* y 2.0))) (* (* (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) y) (* (cbrt (/ x (- x y))) (* y 2.0)) (* (sqrt (/ x (- x y))) (* y 2.0)) (* (/ (cbrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ x (cbrt (- x y))) (* y 2.0)) (* (/ x (sqrt (- x y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ 1 (- x y)) (* y 2.0)) (* (+ (* x x) (+ (* y y) (* x y))) (* y 2.0)) (* (+ x y) (* y 2.0)) (* x (* y 2.0)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (- (log x) (log (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) (/ 1 1) (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) (/ 1 1) (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) (/ x 1) (/ x (+ (sqrt x) (sqrt y))) (/ x 1) (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 1.018 * * [simplify]: iteration 0 : 319 enodes (cost 446 ) 1.025 * * [simplify]: iteration 1 : 1255 enodes (cost 395 ) 1.049 * * [simplify]: iteration 2 : 5001 enodes (cost 395 ) 1.051 * [simplify]: Simplified to: (expm1 (* (/ x (- x y)) (* y 2.0))) (log1p (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (exp (* (/ x (- x y)) (* y 2.0))) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (* (cbrt (* (/ x (- x y)) (* y 2.0))) (cbrt (* (/ x (- x y)) (* y 2.0)))) (cbrt (* (/ x (- x y)) (* y 2.0))) (pow (* (/ x (- x y)) (* y 2.0)) 3) (sqrt (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) y) (* (cbrt (/ x (- x y))) (* y 2.0)) (* (sqrt (/ x (- x y))) (* y 2.0)) (* (/ (cbrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ x (cbrt (- x y))) (* y 2.0)) (* (/ x (sqrt (- x y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (/ (* y 2.0) (- x y)) (* (* (fma x x (fma y y (* x y))) y) 2.0) (* (+ x y) (* y 2.0)) (* x (* y 2.0)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (log (/ x (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (pow (/ x (- x y)) 3) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (pow (/ x (- x y)) 3) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (sqrt x) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (sqrt x) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) 1 (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) 1 (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) x (/ x (+ (sqrt x) (sqrt y))) x (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 1.052 * * * [progress]: adding candidates to table 1.190 * [progress]: [Phase 3 of 3] Extracting. 1.190 * * [regime]: Finding splitpoints for: (# #) 1.190 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.190 * * * * [regimes]: Trying to branch on y from (# #) 1.210 * * * * [regimes]: Trying to branch on x from (# #) 1.227 * * * [regime]: Found split indices: #