12.390 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (/ (+ x y) (+ y 1.0)) 0.023 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.025 * [simplify]: Simplified to: (/ (+ x y) (+ y 1.0)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.035 * * * [progress]: generating rewritten candidates 0.035 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.057 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.057 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.057 * [taylor]: Taking taylor expansion of (+ x y) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.057 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of 1.0 in y 0.058 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of (+ x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.058 * [taylor]: Taking taylor expansion of (+ x y) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of 1.0 in x 0.058 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.060 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.066 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.066 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of 1.0 in y 0.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.069 * [taylor]: Taking taylor expansion of x in x 0.069 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.069 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.069 * [taylor]: Taking taylor expansion of y in x 0.069 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.070 * [taylor]: Taking taylor expansion of y in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of 1.0 in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.074 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.074 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of 1.0 in y 0.074 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.086 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.086 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.086 * [taylor]: Taking taylor expansion of -1 in y 0.086 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of 1.0 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.089 * [taylor]: Taking taylor expansion of -1 in x 0.089 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 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 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.090 * [taylor]: Taking taylor expansion of -1 in x 0.090 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.090 * [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 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.091 * [taylor]: Taking taylor expansion of -1 in y 0.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of 1.0 in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.100 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of 1.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.115 * * * [progress]: simplifying candidates 0.116 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (+ y 1.0))) (log1p (/ (+ x y) (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (exp (/ (+ x y) (+ y 1.0))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))) (* (* (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0))) (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (- (+ x y)) (- (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y 1.0))) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (cbrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 1) (/ (+ x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (/ (+ x y) 1) (/ (+ x y) 1) (/ (+ y 1.0) (cbrt (+ x y))) (/ (+ y 1.0) (sqrt (+ x y))) (/ (+ y 1.0) (+ x y)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (+ y 1.0) (+ (* x x) (- (* y y) (* x y)))) (* (+ y 1.0) (- x y)) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.122 * * [simplify]: iteration 0 : 197 enodes (cost 262 ) 0.128 * * [simplify]: iteration 1 : 620 enodes (cost 246 ) 0.142 * * [simplify]: iteration 2 : 1970 enodes (cost 245 ) 0.176 * * [simplify]: iteration 3 : 5001 enodes (cost 245 ) 0.178 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y 1.0))) (log1p (/ (+ x y) (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (log (/ (+ x y) (+ y 1.0))) (exp (/ (+ x y) (+ y 1.0))) (pow (/ (+ x y) (+ y 1.0)) 3) (* (cbrt (/ (+ x y) (+ y 1.0))) (cbrt (/ (+ x y) (+ y 1.0)))) (cbrt (/ (+ x y) (+ y 1.0))) (pow (/ (+ x y) (+ y 1.0)) 3) (sqrt (/ (+ x y) (+ y 1.0))) (sqrt (/ (+ x y) (+ y 1.0))) (- (+ x y)) (- (+ y 1.0)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ x y)) (cbrt (+ y 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y 1.0))) (/ (cbrt (+ x y)) (sqrt (+ y 1.0))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y 1.0)) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt (+ x y)) (cbrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (/ (sqrt (+ x y)) (sqrt (+ y 1.0))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) 1 (/ (+ x y) (+ y 1.0)) 1 (/ (+ x y) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))) 1 (/ (+ x y) (+ y 1.0)) 1 (/ (+ x y) (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ y 1.0) (cbrt (+ x y))) (/ (+ y 1.0) (sqrt (+ x y))) (/ (+ y 1.0) (+ x y)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (fma y (- y x) (* x x)) (+ 1.0 y)) (* (+ y 1.0) (- x y)) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.178 * * * [progress]: adding candidates to table 0.245 * * [progress]: iteration 2 / 4 0.245 * * * [progress]: picking best candidate 0.247 * * * * [pick]: Picked # 0.247 * * * [progress]: localizing error 0.253 * * * [progress]: generating rewritten candidates 0.253 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.277 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.284 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.285 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in (x y) around 0 0.285 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in y 0.285 * [taylor]: Taking taylor expansion of (+ x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of 1.0 in y 0.285 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (+ x y) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) in x 0.286 * [taylor]: Taking taylor expansion of (+ x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (+ y 1.0) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 1.0 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.287 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 1.0 in y 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.291 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.292 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.292 * [taylor]: Taking taylor expansion of y in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of 1.0 in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of 1.0 in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.296 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of 1.0 in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.303 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.303 * [taylor]: Taking taylor expansion of -1 in y 0.303 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.304 * [taylor]: Taking taylor expansion of 1.0 in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.305 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 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 (/ 1 x) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.305 * [taylor]: Taking taylor expansion of 1.0 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.306 * [taylor]: Taking taylor expansion of -1 in x 0.306 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.306 * [taylor]: Taking taylor expansion of 1.0 in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.307 * [taylor]: Taking taylor expansion of -1 in y 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.307 * [taylor]: Taking taylor expansion of 1.0 in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.309 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.309 * [taylor]: Taking taylor expansion of 1.0 in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.318 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.318 * [approximate]: Taking taylor expansion of (/ 1 (+ y 1.0)) in (y) around 0 0.318 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.318 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of 1.0 in y 0.319 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.319 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of 1.0 in y 0.324 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in (y) around 0 0.324 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 1.0 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) 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 1.0 in y 0.331 * [approximate]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in (y) around 0 0.331 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of 1.0 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 y))) in y 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.332 * [taylor]: Taking taylor expansion of 1.0 in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.340 * * * [progress]: simplifying candidates 0.341 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (/ 1 (+ y 1.0)))) (log1p (* (+ x y) (/ 1 (+ y 1.0)))) (* (+ x y) (/ 1 (+ y 1.0))) (+ (log (+ x y)) (- (log (+ y 1.0)))) (+ (log (+ x y)) (- 0 (log (+ y 1.0)))) (+ (log (+ x y)) (- (log 1) (log (+ y 1.0)))) (+ (log (+ x y)) (log (/ 1 (+ y 1.0)))) (log (* (+ x y) (/ 1 (+ y 1.0)))) (exp (* (+ x y) (/ 1 (+ y 1.0)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0)))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0)))) (* (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (cbrt (* (+ x y) (/ 1 (+ y 1.0))))) (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (* (* (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0)))) (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (* (+ (pow x 3) (pow y 3)) 1) (* (+ (* x x) (- (* y y) (* x y))) (+ y 1.0)) (* (- (* x x) (* y y)) 1) (* (- x y) (+ y 1.0)) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ 1 (sqrt (+ y 1.0)))) (* (sqrt (+ x y)) (/ 1 (sqrt (+ y 1.0)))) (* (+ x y) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0))))) (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y 1.0)))) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x y) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (+ x y) (/ (sqrt 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ (sqrt 1) (sqrt (+ y 1.0)))) (* (+ x y) (/ (sqrt 1) 1)) (* (+ x y) (/ (sqrt 1) 1)) (* (+ x y) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))))) (* (+ x y) (/ 1 (sqrt (+ y 1.0)))) (* (+ x y) (/ 1 1)) (* (+ x y) (/ 1 1)) (* (+ x y) 1) (* (+ x y) 1) (* (+ x y) (/ 1 (+ (pow y 3) (pow 1.0 3)))) (* (+ x y) (/ 1 (- (* y y) (* 1.0 1.0)))) (* (cbrt (+ x y)) (/ 1 (+ y 1.0))) (* (sqrt (+ x y)) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) (/ 1 (+ y 1.0))) (* (+ x y) 1) (* (+ (pow x 3) (pow y 3)) (/ 1 (+ y 1.0))) (* (- (* x x) (* y y)) (/ 1 (+ y 1.0))) (expm1 (/ 1 (+ y 1.0))) (log1p (/ 1 (+ y 1.0))) (- 1) (- (log (+ y 1.0))) (- 0 (log (+ y 1.0))) (- (log 1) (log (+ y 1.0))) (log (/ 1 (+ y 1.0))) (exp (/ 1 (+ y 1.0))) (/ (* (* 1 1) 1) (* (* (+ y 1.0) (+ y 1.0)) (+ y 1.0))) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0)))) (cbrt (/ 1 (+ y 1.0))) (* (* (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0))) (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (- 1) (- (+ y 1.0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt 1) (cbrt (+ y 1.0))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y 1.0))) (/ (cbrt 1) (sqrt (+ y 1.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y 1.0)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y 1.0)) (/ (sqrt 1) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (sqrt 1) (cbrt (+ y 1.0))) (/ (sqrt 1) (sqrt (+ y 1.0))) (/ (sqrt 1) (sqrt (+ y 1.0))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y 1.0)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 1) (/ 1 (+ y 1.0)) (/ 1 1) (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) 1) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (+ y 1.0))) (/ 1 1) (/ 1 1) (/ (+ y 1.0) (cbrt 1)) (/ (+ y 1.0) (sqrt 1)) (/ (+ y 1.0) 1) (/ 1 (+ (pow y 3) (pow 1.0 3))) (/ 1 (- (* y y) (* 1.0 1.0))) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (* 1.0 (pow y 2)) 1.0) (* 1.0 y)) (- (+ (/ 1 y) (* 1.0 (/ 1 (pow y 3)))) (* 1.0 (/ 1 (pow y 2)))) (- (+ (/ 1 y) (* 1.0 (/ 1 (pow y 3)))) (* 1.0 (/ 1 (pow y 2)))) 0.346 * * [simplify]: iteration 0 : 361 enodes (cost 480 ) 0.353 * * [simplify]: iteration 1 : 1694 enodes (cost 416 ) 0.380 * * [simplify]: iteration 2 : 5002 enodes (cost 380 ) 0.387 * [simplify]: Simplified to: (expm1 (* (+ x y) (/ 1 (+ y 1.0)))) (log1p (* (+ x y) (/ 1 (+ y 1.0)))) (/ (+ x y) (+ y 1.0)) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (- (log (+ x y)) (log (+ y 1.0))) (exp (* (+ x y) (/ 1 (+ y 1.0)))) (pow (/ (+ x y) (+ y 1.0)) 3) (pow (/ (+ x y) (+ y 1.0)) 3) (* (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (cbrt (* (+ x y) (/ 1 (+ y 1.0))))) (cbrt (* (+ x y) (/ 1 (+ y 1.0)))) (pow (/ (+ x y) (+ y 1.0)) 3) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (sqrt (* (+ x y) (/ 1 (+ y 1.0)))) (+ (pow x 3) (pow y 3)) (* (fma y (- y x) (* x x)) (+ y 1.0)) (- (* x x) (* y y)) (* (- x y) (+ y 1.0)) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (* (sqrt (+ x y)) (sqrt (/ 1 (+ y 1.0)))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (/ (* (sqrt (+ x y)) 1) (sqrt (+ y 1.0))) (* (+ x y) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0))))) (* (+ x y) (sqrt (/ 1 (+ y 1.0)))) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (/ (+ x y) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (+ x y) (sqrt (+ y 1.0))) (+ x y) (+ x y) (+ x y) (+ x y) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ (cbrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (+ x y) (/ (+ (pow x 3) (pow y 3)) (+ y 1.0)) (/ (- (* x x) (* y y)) (+ y 1.0)) (expm1 (/ 1 (+ y 1.0))) (log1p (/ 1 (+ y 1.0))) (- 1) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (log (/ 1 (+ y 1.0))) (exp (/ 1 (+ y 1.0))) (/ 1 (pow (+ y 1.0) 3)) (* (cbrt (/ 1 (+ y 1.0))) (cbrt (/ 1 (+ y 1.0)))) (cbrt (/ 1 (+ y 1.0))) (/ 1 (pow (+ y 1.0) 3)) (sqrt (/ 1 (+ y 1.0))) (sqrt (/ 1 (+ y 1.0))) (- 1) (- (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) (/ 1 (sqrt (+ y 1.0))) 1 (/ 1 (+ y 1.0)) 1 (/ 1 (+ y 1.0)) (/ 1 (+ y 1.0)) (+ y 1.0) (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (sqrt (+ y 1.0))) 1 1 (+ y 1.0) (+ y 1.0) (+ y 1.0) (/ 1 (+ (pow y 3) (pow 1.0 3))) (/ 1 (- (* y y) (* 1.0 1.0))) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (fma (pow y 2) 1.0 (- 1.0 (* 1.0 y))) (fma 1.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2))) (/ 1 y)) (fma 1.0 (- (/ 1 (pow y 3)) (/ 1 (pow y 2))) (/ 1 y)) 0.387 * * * [progress]: adding candidates to table 0.514 * * [progress]: iteration 3 / 4 0.514 * * * [progress]: picking best candidate 0.515 * * * * [pick]: Picked # 0.515 * * * [progress]: localizing error 0.523 * * * [progress]: generating rewritten candidates 0.523 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.536 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.571 * * * [progress]: generating series expansions 0.571 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.571 * [approximate]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in y 0.571 * [taylor]: Taking taylor expansion of (+ x y) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.572 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.572 * [taylor]: Taking taylor expansion of y in y 0.572 * [taylor]: Taking taylor expansion of 1.0 in y 0.573 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in x 0.573 * [taylor]: Taking taylor expansion of (+ x y) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.573 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) 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 0.574 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.574 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.574 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (/ y (- (pow y 2) 1.0)) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.575 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of 1.0 in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (- (pow y 2) 1.0)) in y 0.577 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of 1.0 in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.583 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.587 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in y 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of 1.0 in y 0.589 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.589 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow y 2)) 1.0)) in y 0.592 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of 1.0 in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.595 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.595 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.595 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of 1.0 in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.600 * [taylor]: Taking taylor expansion of 0 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in (x y) around 0 0.618 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in y 0.618 * [taylor]: Taking taylor expansion of -1 in y 0.618 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in y 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of 1.0 in y 0.620 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in x 0.620 * [taylor]: Taking taylor expansion of -1 in x 0.620 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow y 2)) 1.0)) in y 0.623 * [taylor]: Taking taylor expansion of -1 in y 0.623 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [taylor]: Taking taylor expansion of 1.0 in y 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.626 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 1.0 in y 0.626 * [taylor]: Taking taylor expansion of y in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of 0 in y 0.648 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.648 * [approximate]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in (x y) around 0 0.648 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in y 0.648 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in y 0.648 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of 1.0 in y 0.648 * [taylor]: Taking taylor expansion of (+ x y) in y 0.648 * [taylor]: Taking taylor expansion of x in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.648 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.648 * [taylor]: Taking taylor expansion of y in y 0.648 * [taylor]: Taking taylor expansion of 1.0 in y 0.651 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in x 0.651 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in x 0.651 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.651 * [taylor]: Taking taylor expansion of (+ x y) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.651 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.651 * [taylor]: Taking taylor expansion of y in x 0.651 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in x 0.652 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in x 0.652 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (+ x y) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.653 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (/ (* y (- y 1.0)) (- (pow y 2) 1.0)) in y 0.654 * [taylor]: Taking taylor expansion of (* y (- y 1.0)) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 1.0 in y 0.654 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.654 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [taylor]: Taking taylor expansion of 1.0 in y 0.660 * [taylor]: Taking taylor expansion of (- (/ y (- (pow y 2) 1.0)) (* 1.0 (/ 1 (- (pow y 2) 1.0)))) in y 0.660 * [taylor]: Taking taylor expansion of (/ y (- (pow y 2) 1.0)) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.660 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of 1.0 in y 0.661 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- (pow y 2) 1.0))) in y 0.661 * [taylor]: Taking taylor expansion of 1.0 in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (- (pow y 2) 1.0)) in y 0.661 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of 1.0 in y 0.666 * [taylor]: Taking taylor expansion of 0 in y 0.669 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.669 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in y 0.669 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) in y 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.669 * [taylor]: Taking taylor expansion of x in y 0.669 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.669 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.669 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of 1.0 in y 0.670 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.670 * [taylor]: Taking taylor expansion of 1.0 in y 0.671 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.671 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) in x 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.672 * [taylor]: Taking taylor expansion of y in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.674 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) in x 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) (- (/ 1 (pow y 2)) 1.0)) in y 0.676 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.676 * [taylor]: Taking taylor expansion of 1.0 in y 0.676 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of 1.0 in y 0.680 * [taylor]: Taking taylor expansion of (- (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)))) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) in y 0.680 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of 1.0 in y 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.682 * [taylor]: Taking taylor expansion of 1.0 in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.682 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.682 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of 1.0 in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.692 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in y 0.692 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 1.0 in y 0.693 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of 1.0 in y 0.695 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.695 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of 1.0 in x 0.695 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.696 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.697 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.698 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (- (/ 1 (pow y 2)) 1.0)) in y 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of 1.0 in y 0.699 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of 1.0 in y 0.707 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)))) in y 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.707 * [taylor]: Taking taylor expansion of 1.0 in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.707 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.707 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.707 * [taylor]: Taking taylor expansion of y in y 0.708 * [taylor]: Taking taylor expansion of 1.0 in y 0.708 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) in y 0.710 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)) in y 0.710 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of 1.0 in y 0.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.718 * * * [progress]: simplifying candidates 0.720 * [simplify]: Simplifying using # : (expm1 (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (log1p (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (- (log (+ x y)) (log (- (* y y) (* 1.0 1.0)))) (log (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (exp (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (* (cbrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (cbrt (/ (+ x y) (- (* y y) (* 1.0 1.0))))) (cbrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (* (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (sqrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (sqrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (- (+ x y)) (- (- (* y y) (* 1.0 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (cbrt (+ x y)) (cbrt (- (* y y) (* 1.0 1.0)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (cbrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (- (* y y) (* 1.0 1.0))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ y 1.0)) (/ (cbrt (+ x y)) (- y 1.0)) (/ (sqrt (+ x y)) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (sqrt (+ x y)) (cbrt (- (* y y) (* 1.0 1.0)))) (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (- (* y y) (* 1.0 1.0))) (/ (sqrt (+ x y)) (+ y 1.0)) (/ (sqrt (+ x y)) (- y 1.0)) (/ 1 (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (/ 1 (sqrt (- (* y y) (* 1.0 1.0)))) (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (/ 1 1) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ 1 (+ y 1.0)) (/ (+ x y) (- y 1.0)) (/ 1 (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (/ 1 (sqrt (- (* y y) (* 1.0 1.0)))) (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (/ 1 1) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ 1 (+ y 1.0)) (/ (+ x y) (- y 1.0)) (/ 1 (- (* y y) (* 1.0 1.0))) (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (/ (+ x y) (* (cbrt (- (* y y) (* 1.0 1.0))) (cbrt (- (* y y) (* 1.0 1.0))))) (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (/ (+ x y) 1) (/ (+ x y) (+ y 1.0)) (/ (- (* y y) (* 1.0 1.0)) (cbrt (+ x y))) (/ (- (* y y) (* 1.0 1.0)) (sqrt (+ x y))) (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (/ (+ x y) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3))) (/ (+ x y) (- (* (* y y) (* y y)) (* (* 1.0 1.0) (* 1.0 1.0)))) (* (- (* y y) (* 1.0 1.0)) (+ (* x x) (- (* y y) (* x y)))) (* (- (* y y) (* 1.0 1.0)) (- x y)) (expm1 (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (log1p (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (+ (- (log (+ x y)) (log (- (* y y) (* 1.0 1.0)))) (log (- y 1.0))) (+ (log (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (log (- y 1.0))) (log (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (exp (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (- (* y y) (* 1.0 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)))) (* (* (- y 1.0) (- y 1.0)) (- y 1.0))) (* (* (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (* (* (- y 1.0) (- y 1.0)) (- y 1.0))) (* (cbrt (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (cbrt (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))) (cbrt (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (* (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (sqrt (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (sqrt (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))) (* (+ x y) (- (pow y 3) (pow 1.0 3))) (* (- (* y y) (* 1.0 1.0)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (+ x y) (- (* y y) (* 1.0 1.0))) (* (- (* y y) (* 1.0 1.0)) (+ y 1.0)) (* (sqrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (sqrt (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (sqrt (- y 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* (sqrt 1.0) (sqrt 1.0))))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (* (cbrt y) (cbrt y)) (cbrt y) (- (* 1.0 1)))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (- 1.0) 1 (* 1.0 1))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (sqrt y) (sqrt y) (- (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0)))))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (- (cbrt 1.0)) (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 1.0) (* (cbrt 1.0) (cbrt 1.0))))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (sqrt y) (sqrt y) (- (* (sqrt 1.0) (sqrt 1.0))))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (- (sqrt 1.0)) (sqrt 1.0) (* (sqrt 1.0) (sqrt 1.0)))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (sqrt y) (sqrt y) (- (* 1.0 1)))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (fma (- 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(* 1.0 1.0)))) (- y 1.0)) (* (/ (cbrt (+ x y)) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (cbrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (cbrt (+ x y)) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (cbrt (+ x y)) (- y 1.0)) (- y 1.0)) (* (/ (sqrt (+ x y)) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (sqrt (+ x y)) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (sqrt (+ x y)) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (sqrt (+ x y)) (- y 1.0)) (- y 1.0)) (* (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (+ x y) (- y 1.0)) (- y 1.0)) (* (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (+ x y) (- y 1.0)) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (+ (* (* y y) (* y y)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (+ (* y y) (* 1.0 1.0)) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0))) (* (+ x y) (- y 1.0)) (- (+ (* 1.0 (* x (pow y 2))) (+ (* 1.0 x) (* 1.0 y)))) (+ (/ 1 y) (+ (/ x (pow y 2)) (* 1.0 (/ 1 (pow y 3))))) (+ (/ 1 y) (+ (/ x (pow y 2)) (* 1.0 (/ 1 (pow y 3))))) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.728 * * [simplify]: iteration 0 : 579 enodes (cost 1336 ) 0.740 * * [simplify]: iteration 1 : 2961 enodes (cost 1135 ) 0.790 * * [simplify]: iteration 2 : 5001 enodes (cost 1119 ) 0.796 * [simplify]: Simplified to: (expm1 (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (log1p (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (log (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (log (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (exp (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (pow (/ (+ x y) (- (* y y) 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(* 1.0 1.0))) (- y 1.0)) (* (/ (+ x y) (- y 1.0)) (- y 1.0)) (* (/ (+ x y) (cbrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (sqrt (- (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (/ (+ x y) (- y 1.0)) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0)) (/ (- y 1.0) (- (* y y) (* 1.0 1.0))) (fma (- y 1.0) (* (* 1.0 1.0) (fma y y (* 1.0 1.0))) (* (- y 1.0) (pow y 4))) (* (- y 1.0) (fma y y (* 1.0 1.0))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0))) (* (+ x y) (- y 1.0)) (- (- (* 1.0 (* x (pow y 2)))) (fma 1.0 x (* 1.0 y))) (+ (+ (/ 1.0 (pow y 3)) (/ x (pow y 2))) (/ 1 y)) (+ (+ (/ 1.0 (pow y 3)) (/ x (pow y 2))) (/ 1 y)) (* 1.0 (- (+ x y) (* x y))) (+ 1 (- (/ x y) (/ 1.0 y))) (+ 1 (- (/ x y) (/ 1.0 y))) 0.797 * * * [progress]: adding candidates to table 1.004 * [progress]: [Phase 3 of 3] Extracting. 1.004 * * [regime]: Finding splitpoints for: (# # #) 1.005 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y 1.0)) y x) 1.005 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y 1.0)) from (# # #) 1.017 * * * * [regimes]: Trying to branch on y from (# # #) 1.029 * * * * [regimes]: Trying to branch on x from (# # #) 1.045 * * * [regime]: Found split indices: #