7.539 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.021 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.025 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.028 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.032 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.037 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.041 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.046 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.051 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.055 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.056 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.080 * [taylor]: Taking taylor expansion of (+ x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.081 * [taylor]: Taking taylor expansion of (+ x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.081 * [taylor]: Taking taylor expansion of (+ x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.082 * [taylor]: Taking taylor expansion of 2 in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.084 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.085 * [taylor]: Taking taylor expansion of x in y 0.085 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.085 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.087 * [taylor]: Taking taylor expansion of 2 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.091 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) 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 0.092 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) 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 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.098 * [taylor]: Taking taylor expansion of 2 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * * * [progress]: simplifying candidates 0.102 * [simplify]: Simplifying using # : (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.108 * * [simplify]: iteration 0 : 194 enodes (cost 221 ) 0.117 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.151 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.153 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) 6) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (fma y (- y x) (pow x 2)) (+ x (- y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (pow (cbrt (+ x y)) 4) (* (cbrt (+ x y)) (cbrt (+ x y))) (+ x y) (+ x y) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) 1 (* (+ x y) (+ x y)) (+ x y) (+ x y) 2 (* x (+ x y)) (* y (+ x y)) (* x (+ x y)) (* y (+ x y)) (* (pow (cbrt (+ x y)) 4) (cbrt (+ x y))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (pow (cbrt (+ x y)) 4) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.154 * * * [progress]: adding candidates to table 0.210 * * [progress]: iteration 2 / 4 0.210 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.221 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.230 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.236 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.247 * * * [progress]: generating series expansions 0.247 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.247 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.247 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (+ x y) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [taylor]: Taking taylor expansion of y in x 0.247 * [taylor]: Taking taylor expansion of (* y (+ x 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 0.247 * [taylor]: Taking taylor expansion of (* y (+ x 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 0.247 * [taylor]: Taking taylor expansion of 0 in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.249 * [taylor]: Taking taylor expansion of 1 in x 0.251 * [taylor]: Taking taylor expansion of 0 in x 0.252 * [taylor]: Taking taylor expansion of 0 in x 0.252 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of 1 in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of 0 in x 0.261 * [taylor]: Taking taylor expansion of 0 in x 0.264 * [taylor]: Taking taylor expansion of 0 in x 0.264 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.265 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.273 * [taylor]: Taking taylor expansion of 0 in x 0.276 * [taylor]: Taking taylor expansion of 0 in x 0.276 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.276 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.277 * [taylor]: Taking taylor expansion of 2 in y 0.277 * [taylor]: Taking taylor expansion of (* x y) in y 0.277 * [taylor]: Taking taylor expansion of x in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.277 * [taylor]: Taking taylor expansion of 2 in x 0.277 * [taylor]: Taking taylor expansion of (* x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.277 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.277 * [taylor]: Taking taylor expansion of 2 in x 0.277 * [taylor]: Taking taylor expansion of (* x y) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.278 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.279 * [taylor]: Taking taylor expansion of 2 in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of 1 in y 0.283 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.283 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.284 * [taylor]: Taking taylor expansion of 2 in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.284 * [taylor]: Taking taylor expansion of (* x y) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.285 * [taylor]: Taking taylor expansion of 2 in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.286 * [taylor]: Taking taylor expansion of 2 in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.287 * [taylor]: Taking taylor expansion of 1 in y 0.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.288 * [taylor]: Taking taylor expansion of 2 in y 0.288 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.296 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.297 * [taylor]: Taking taylor expansion of 2 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.297 * [taylor]: Taking taylor expansion of (* x y) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.298 * [taylor]: Taking taylor expansion of 2 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.298 * [taylor]: Taking taylor expansion of (* x y) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.298 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.299 * [taylor]: Taking taylor expansion of 2 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.299 * [taylor]: Taking taylor expansion of (* x y) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of 1 in y 0.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.301 * [taylor]: Taking taylor expansion of 2 in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.305 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.305 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of (+ x y) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (+ x y) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (+ x y) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of 1 in y 0.308 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.311 * [taylor]: Taking taylor expansion of y in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [taylor]: Taking taylor expansion of 1 in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.318 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [taylor]: Taking taylor expansion of 0 in y 0.321 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.322 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of 1 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.334 * * * [progress]: simplifying candidates 0.335 * [simplify]: Simplifying using # : (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* 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))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 0.341 * * [simplify]: iteration 0 : 371 enodes (cost 403 ) 0.355 * * [simplify]: iteration 1 : 2132 enodes (cost 342 ) 0.412 * * [simplify]: iteration 2 : 5001 enodes (cost 336 ) 0.415 * [simplify]: Simplified to: (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* 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))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (pow y 2) (* y x) (pow y 2) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (fma (pow x 3) y (pow y 4)) (* y (- (* x x) (* y y))) (expm1 (+ (* x (+ x y)) (* y (+ x y)))) (log1p (+ (* x (+ x y)) (* y (+ x y)))) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (pow (+ x y) 6) (fabs (+ x y)) (fabs (+ x y)) (* (fma x x (* y (- y x))) (+ (* x (+ (pow x 3) (pow y 3))) (* y (+ (pow x 3) (pow y 3))))) (* (fma x x (* y (- y x))) (+ (pow x 2) (* y (- y x)))) (fma (fma x x (* y (- y x))) (* y (- (* x x) (* y y))) (* (* x (+ (pow x 3) (pow y 3))) (- x y))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (fma (fma x x (* y (- y x))) (* x (- (* x x) (* y y))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- x y) (+ (* x (- (* x x) (* y y))) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (* (pow (+ x y) 3) (+ (pow x 3) (pow y 3))) (fma x (* x (* (+ x y) (+ x y))) (* (* (+ x y) (* y (+ x y))) (- y x))) (* (pow (+ x y) 3) (- x y)) (- (* x x) (* y y)) (+ x y) (fma x (+ x y) (* x y)) (fma x (+ x y) (* x y)) (fma y x (* y (+ x y))) (fma y x (* y (+ x y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (pow x 2) (* y x) (pow x 2) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (fma (pow y 3) x (pow x 4)) (* x (- (* x x) (* y y))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (fma x x (fma (* 2 x) y (pow y 2))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 0.415 * * * [progress]: adding candidates to table 0.573 * * [progress]: iteration 3 / 4 0.573 * * * [progress]: picking best candidate 0.577 * * * * [pick]: Picked # 0.577 * * * [progress]: localizing error 0.585 * * * [progress]: generating rewritten candidates 0.585 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 0.586 * * * [progress]: generating series expansions 0.586 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 0.586 * [approximate]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in (x y) around 0 0.586 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in y 0.586 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.586 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in y 0.586 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.586 * [taylor]: Taking taylor expansion of 2 in y 0.586 * [taylor]: Taking taylor expansion of x in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in x 0.586 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.586 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in x 0.586 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.586 * [taylor]: Taking taylor expansion of 2 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (fma (* 2 x) y (pow y 2)) in x 0.586 * [taylor]: Rewrote expression to (+ (* (* 2 x) y) (pow y 2)) 0.586 * [taylor]: Taking taylor expansion of (* (* 2 x) y) in x 0.587 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.587 * [taylor]: Taking taylor expansion of 2 in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.588 * [taylor]: Taking taylor expansion of 2 in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.598 * [approximate]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in (x y) around 0 0.598 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in y 0.598 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.598 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in y 0.598 * [taylor]: Taking taylor expansion of (/ 2 x) in y 0.598 * [taylor]: Taking taylor expansion of 2 in y 0.598 * [taylor]: Taking taylor expansion of x in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.599 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in x 0.599 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.599 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.599 * [taylor]: Taking taylor expansion of 2 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.599 * [taylor]: Taking taylor expansion of y in x 0.599 * [taylor]: Taking taylor expansion of (fma (/ 2 x) (/ 1 y) (pow (/ 1 y) 2)) in x 0.599 * [taylor]: Rewrote expression to (+ (* (/ 2 x) (/ 1 y)) (pow (/ 1 y) 2)) 0.599 * [taylor]: Taking taylor expansion of (* (/ 2 x) (/ 1 y)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 2 x) in x 0.600 * [taylor]: Taking taylor expansion of 2 in x 0.600 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (pow (/ 1 y) 2) in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.600 * [taylor]: Taking taylor expansion of y in x 0.600 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.600 * [taylor]: Taking taylor expansion of 2 in y 0.600 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.600 * [taylor]: Taking taylor expansion of y in y 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [approximate]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in (x y) around 0 0.614 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in y 0.614 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.614 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in y 0.614 * [taylor]: Taking taylor expansion of (/ -2 x) in y 0.614 * [taylor]: Taking taylor expansion of -2 in y 0.614 * [taylor]: Taking taylor expansion of x in y 0.615 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.615 * [taylor]: Taking taylor expansion of -1 in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in y 0.615 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.615 * [taylor]: Taking taylor expansion of -1 in y 0.615 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in x 0.615 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.615 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in x 0.616 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.616 * [taylor]: Taking taylor expansion of -2 in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.616 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.616 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.616 * [taylor]: Taking taylor expansion of -1 in x 0.616 * [taylor]: Taking taylor expansion of y in x 0.616 * [taylor]: Taking taylor expansion of (fma (/ -2 x) (/ -1 y) (pow (/ -1 y) 2)) in x 0.616 * [taylor]: Rewrote expression to (+ (* (/ -2 x) (/ -1 y)) (pow (/ -1 y) 2)) 0.616 * [taylor]: Taking taylor expansion of (* (/ -2 x) (/ -1 y)) in x 0.616 * [taylor]: Taking taylor expansion of (/ -2 x) in x 0.616 * [taylor]: Taking taylor expansion of -2 in x 0.616 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (pow (/ -1 y) 2) in x 0.617 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.617 * [taylor]: Taking taylor expansion of 2 in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.617 * [taylor]: Taking taylor expansion of y 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 0.621 * [taylor]: Taking taylor expansion of 0 in y 0.630 * [taylor]: Taking taylor expansion of 0 in y 0.635 * [taylor]: Taking taylor expansion of 0 in y 0.637 * * * [progress]: simplifying candidates 0.637 * [simplify]: Simplifying using # : (expm1 (fma (* 2 x) y (pow y 2))) (log1p (fma (* 2 x) y (pow y 2))) (* (* 2 x) y) (log (fma (* 2 x) y (pow y 2))) (exp (fma (* 2 x) y (pow y 2))) (* (cbrt (fma (* 2 x) y (pow y 2))) (cbrt (fma (* 2 x) y (pow y 2)))) (cbrt (fma (* 2 x) y (pow y 2))) (* (* (fma (* 2 x) y (pow y 2)) (fma (* 2 x) y (pow y 2))) (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 0.641 * * [simplify]: iteration 0 : 30 enodes (cost 59 ) 0.644 * * [simplify]: iteration 1 : 80 enodes (cost 52 ) 0.650 * * [simplify]: iteration 2 : 379 enodes (cost 48 ) 0.664 * * [simplify]: iteration 3 : 1859 enodes (cost 47 ) 0.761 * * [simplify]: iteration 4 : 5002 enodes (cost 47 ) 0.762 * [simplify]: Simplified to: (expm1 (fma (* 2 x) y (pow y 2))) (log1p (fma (* 2 x) y (pow y 2))) (* 2 (* x y)) (log (fma (* 2 x) y (pow y 2))) (pow (exp y) (fma x 2 y)) (* (cbrt (fma (* 2 x) y (pow y 2))) (cbrt (fma (* 2 x) y (pow y 2)))) (cbrt (fma (* 2 x) y (pow y 2))) (pow (* (fma x 2 y) y) 3) (sqrt (fma (* 2 x) y (pow y 2))) (sqrt (fma (* 2 x) y (pow y 2))) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 0.762 * * * [progress]: adding candidates to table 0.798 * * [progress]: iteration 4 / 4 0.798 * * * [progress]: picking best candidate 0.800 * * * * [pick]: Picked # 0.800 * * * [progress]: localizing error 0.809 * * * [progress]: generating rewritten candidates 0.809 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.829 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 0.840 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.849 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.860 * * * [progress]: generating series expansions 0.860 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.860 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.860 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (+ x y) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (+ x y) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (+ x y) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of 0 in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of 1 in x 0.864 * [taylor]: Taking taylor expansion of 0 in x 0.865 * [taylor]: Taking taylor expansion of 0 in x 0.866 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.866 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.866 * [taylor]: Taking taylor expansion of x in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.867 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.867 * [taylor]: Taking taylor expansion of x in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.867 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 1 in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.872 * [taylor]: Taking taylor expansion of 0 in x 0.875 * [taylor]: Taking taylor expansion of 0 in x 0.878 * [taylor]: Taking taylor expansion of 0 in x 0.879 * [approximate]: Taking taylor expansion of (* -1 (* (pow (sqrt (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in (y x) around 0 0.879 * [taylor]: Taking taylor expansion of (* -1 (* (pow (sqrt (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.879 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in x 0.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.879 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.879 * [taylor]: Taking taylor expansion of -1 in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (* -1 (* (pow (sqrt (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in y 0.879 * [taylor]: Taking taylor expansion of -1 in y 0.879 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in y 0.879 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 0.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.879 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.879 * [taylor]: Taking taylor expansion of -1 in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.882 * [taylor]: Taking taylor expansion of (* -1 (* (pow (sqrt (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x)))) in y 0.882 * [taylor]: Taking taylor expansion of -1 in y 0.882 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 y)) 2) (+ (/ 1 y) (/ 1 x))) in y 0.882 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 0.882 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.882 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.882 * [taylor]: Taking taylor expansion of -1 in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.883 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.884 * [taylor]: Taking taylor expansion of x in y 0.885 * [taylor]: Taking taylor expansion of +nan.0 in x 0.890 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) in x 0.890 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 x)) (- +nan.0)) in x 0.890 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 0.890 * [taylor]: Taking taylor expansion of +nan.0 in x 0.890 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.890 * [taylor]: Taking taylor expansion of x in x 0.891 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.891 * [taylor]: Taking taylor expansion of +nan.0 in x 0.899 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))) in x 0.899 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 x)))) in x 0.899 * [taylor]: Taking taylor expansion of +nan.0 in x 0.899 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 x))) in x 0.899 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 0.899 * [taylor]: Taking taylor expansion of +nan.0 in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.902 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 0.903 * [approximate]: Taking taylor expansion of (* (sqrt y) (+ x y)) in (y x) around 0 0.903 * [taylor]: Taking taylor expansion of (* (sqrt y) (+ x y)) in x 0.903 * [taylor]: Taking taylor expansion of (sqrt y) in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (+ x y) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of y in x 0.903 * [taylor]: Taking taylor expansion of (* (sqrt y) (+ x y)) in y 0.903 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of (+ x y) in y 0.909 * [taylor]: Taking taylor expansion of x in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [taylor]: Taking taylor expansion of (* (sqrt y) (+ x y)) in y 0.909 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (+ x y) in y 0.911 * [taylor]: Taking taylor expansion of x in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of 0 in x 0.912 * [taylor]: Taking taylor expansion of (- (* +nan.0 x)) in x 0.912 * [taylor]: Taking taylor expansion of (* +nan.0 x) in x 0.912 * [taylor]: Taking taylor expansion of +nan.0 in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 x) (- +nan.0))) in x 0.916 * [taylor]: Taking taylor expansion of (+ (* +nan.0 x) (- +nan.0)) in x 0.916 * [taylor]: Taking taylor expansion of (* +nan.0 x) in x 0.916 * [taylor]: Taking taylor expansion of +nan.0 in x 0.916 * [taylor]: Taking taylor expansion of x in x 0.916 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.916 * [taylor]: Taking taylor expansion of +nan.0 in x 0.923 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 x) (- +nan.0))) in x 0.923 * [taylor]: Taking taylor expansion of (+ (* +nan.0 x) (- +nan.0)) in x 0.923 * [taylor]: Taking taylor expansion of (* +nan.0 x) in x 0.923 * [taylor]: Taking taylor expansion of +nan.0 in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.923 * [taylor]: Taking taylor expansion of +nan.0 in x 0.927 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 y))) in (y x) around 0 0.927 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 y))) in x 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.927 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in x 0.927 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.927 * [taylor]: Taking taylor expansion of y in x 0.927 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 y))) in y 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.928 * [taylor]: Taking taylor expansion of x in y 0.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 y))) in y 0.929 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.932 * [taylor]: Taking taylor expansion of 0 in x 0.932 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.933 * [taylor]: Taking taylor expansion of +nan.0 in x 0.936 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) in x 0.937 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 x)) (- +nan.0)) in x 0.937 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of +nan.0 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.937 * [taylor]: Taking taylor expansion of +nan.0 in x 0.943 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))) in x 0.943 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 x)) (- +nan.0)) in x 0.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 0.944 * [taylor]: Taking taylor expansion of +nan.0 in x 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.944 * [taylor]: Taking taylor expansion of +nan.0 in x 0.946 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in (y x) around 0 0.946 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.946 * [taylor]: Taking taylor expansion of -1 in x 0.946 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.946 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 0.946 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.946 * [taylor]: Taking taylor expansion of -1 in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.947 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 0.947 * [taylor]: Taking taylor expansion of -1 in y 0.947 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.947 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.947 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.947 * [taylor]: Taking taylor expansion of -1 in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ -1 y)) (+ (/ 1 y) (/ 1 x)))) in y 0.949 * [taylor]: Taking taylor expansion of -1 in y 0.949 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.949 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.949 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.949 * [taylor]: Taking taylor expansion of -1 in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.951 * [taylor]: Taking taylor expansion of y in y 0.951 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.951 * [taylor]: Taking taylor expansion of x in y 0.952 * [taylor]: Taking taylor expansion of 0 in x 0.954 * [taylor]: Taking taylor expansion of (- +nan.0) in x 0.954 * [taylor]: Taking taylor expansion of +nan.0 in x 0.959 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))) in x 0.959 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 x)))) in x 0.959 * [taylor]: Taking taylor expansion of +nan.0 in x 0.959 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 x))) in x 0.959 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of +nan.0 in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 (/ 1 x))))) in x 0.967 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 (/ 1 x)))) in x 0.967 * [taylor]: Taking taylor expansion of +nan.0 in x 0.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 x))) in x 0.968 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 x)) in x 0.968 * [taylor]: Taking taylor expansion of +nan.0 in x 0.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 0.971 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.971 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.971 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of (+ x y) in y 0.971 * [taylor]: Taking taylor expansion of x in y 0.971 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (+ x y) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of (+ x y) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [taylor]: Taking taylor expansion of y in x 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [taylor]: Taking taylor expansion of y in y 0.973 * [taylor]: Taking taylor expansion of 1 in y 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.976 * [taylor]: Taking taylor expansion of 0 in y 0.976 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.976 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.976 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.976 * [taylor]: Taking taylor expansion of x in y 0.976 * [taylor]: Taking taylor expansion of x in y 0.977 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.977 * [taylor]: Taking taylor expansion of y in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.978 * [taylor]: Taking taylor expansion of y in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.979 * [taylor]: Taking taylor expansion of 1 in y 0.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.980 * [taylor]: Taking taylor expansion of y in y 0.982 * [taylor]: Taking taylor expansion of 0 in y 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.989 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.989 * [taylor]: Taking taylor expansion of y in y 0.989 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.989 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of x in y 0.989 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.990 * [taylor]: Taking taylor expansion of y in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.991 * [taylor]: Taking taylor expansion of y in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.992 * [taylor]: Taking taylor expansion of 1 in y 0.993 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.993 * [taylor]: Taking taylor expansion of y in y 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.997 * [taylor]: Taking taylor expansion of 0 in y 1.007 * [taylor]: Taking taylor expansion of 0 in y 1.007 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.008 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 1.008 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.008 * [taylor]: Taking taylor expansion of x in y 1.008 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.008 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.008 * [taylor]: Taking taylor expansion of 2 in y 1.008 * [taylor]: Taking taylor expansion of (* x y) in y 1.008 * [taylor]: Taking taylor expansion of x in y 1.008 * [taylor]: Taking taylor expansion of y in y 1.008 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.008 * [taylor]: Taking taylor expansion of 2 in x 1.008 * [taylor]: Taking taylor expansion of (* x y) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.008 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.008 * [taylor]: Taking taylor expansion of 2 in x 1.008 * [taylor]: Taking taylor expansion of (* x y) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of y in x 1.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.009 * [taylor]: Taking taylor expansion of y in y 1.010 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.010 * [taylor]: Taking taylor expansion of 2 in y 1.010 * [taylor]: Taking taylor expansion of y in y 1.013 * [taylor]: Taking taylor expansion of 1 in y 1.014 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.015 * [taylor]: Taking taylor expansion of 2 in y 1.015 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.015 * [taylor]: Taking taylor expansion of (* x y) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.015 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.015 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.016 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.016 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.016 * [taylor]: Taking taylor expansion of 2 in x 1.016 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.016 * [taylor]: Taking taylor expansion of (* x y) in x 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of y in x 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.017 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.017 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.018 * [taylor]: Taking taylor expansion of 2 in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.018 * [taylor]: Taking taylor expansion of (* x y) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of y in x 1.018 * [taylor]: Taking taylor expansion of 1 in y 1.019 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.019 * [taylor]: Taking taylor expansion of 2 in y 1.019 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.019 * [taylor]: Taking taylor expansion of y in y 1.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.022 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.022 * [taylor]: Taking taylor expansion of y in y 1.024 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* x y))) (+ (/ (pow (sqrt (/ -1 y)) 2) x) (/ (pow (sqrt (/ -1 y)) 2) y))) in (x y) around 0 1.024 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* x y))) (+ (/ (pow (sqrt (/ -1 y)) 2) x) (/ (pow (sqrt (/ -1 y)) 2) y))) in y 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.024 * [taylor]: Taking taylor expansion of x in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.024 * [taylor]: Taking taylor expansion of (* x y) in y 1.024 * [taylor]: Taking taylor expansion of x in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.025 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt (/ -1 y)) 2) x) (/ (pow (sqrt (/ -1 y)) 2) y)) in y 1.025 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 y)) 2) x) in y 1.025 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 1.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.025 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.025 * [taylor]: Taking taylor expansion of -1 in y 1.025 * [taylor]: Taking taylor expansion of y in y 1.027 * [taylor]: Taking taylor expansion of x in y 1.027 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 y)) 2) y) in y 1.027 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 1.027 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.027 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.027 * [taylor]: Taking taylor expansion of -1 in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.029 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* x y))) (+ (/ (pow (sqrt (/ -1 y)) 2) x) (/ (pow (sqrt (/ -1 y)) 2) y))) in x 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.030 * [taylor]: Taking taylor expansion of (* x y) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.030 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt (/ -1 y)) 2) x) (/ (pow (sqrt (/ -1 y)) 2) y)) in x 1.030 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 y)) 2) x) in x 1.030 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in x 1.030 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.030 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.030 * [taylor]: Taking taylor expansion of -1 in x 1.030 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 y)) 2) y) in x 1.031 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in x 1.031 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.031 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.031 * [taylor]: Taking taylor expansion of -1 in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of y in x 1.031 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow x 2)) (/ 1 (* x y))) (+ (/ (pow (sqrt (/ -1 y)) 2) x) (/ (pow (sqrt (/ -1 y)) 2) y))) in x 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.031 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.032 * [taylor]: Taking taylor expansion of (* x y) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [taylor]: Taking taylor expansion of (+ (/ (pow (sqrt (/ -1 y)) 2) x) (/ (pow (sqrt (/ -1 y)) 2) y)) in x 1.032 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 y)) 2) x) in x 1.032 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in x 1.032 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.032 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.032 * [taylor]: Taking taylor expansion of -1 in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 y)) 2) y) in x 1.033 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in x 1.033 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in x 1.033 * [taylor]: Taking taylor expansion of (/ -1 y) in x 1.033 * [taylor]: Taking taylor expansion of -1 in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.034 * [taylor]: Taking taylor expansion of 1 in y 1.035 * [taylor]: Taking taylor expansion of (- (/ 1 y) (pow (sqrt (/ -1 y)) 2)) in y 1.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.035 * [taylor]: Taking taylor expansion of y in y 1.036 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 1.036 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.036 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.036 * [taylor]: Taking taylor expansion of -1 in y 1.036 * [taylor]: Taking taylor expansion of y in y 1.041 * [taylor]: Taking taylor expansion of (- (/ (pow (sqrt (/ -1 y)) 2) y)) in y 1.041 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 y)) 2) y) in y 1.041 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 y)) 2) in y 1.041 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.041 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.041 * [taylor]: Taking taylor expansion of -1 in y 1.041 * [taylor]: Taking taylor expansion of y in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.044 * * * [progress]: simplifying candidates 1.046 * [simplify]: Simplifying using # : (expm1 (* (sqrt y) (* (sqrt y) (+ x y)))) (log1p (* (sqrt y) (* (sqrt y) (+ x y)))) (* (sqrt y) (* (sqrt y) (+ x y))) (* (sqrt y) (* (sqrt y) (+ x y))) (+ (log (sqrt y)) (+ (log (sqrt y)) (log (+ x y)))) (+ (log (sqrt y)) (log (* (sqrt y) (+ x y)))) (log (* (sqrt y) (* (sqrt y) (+ x y)))) (exp (* (sqrt y) (* (sqrt y) (+ x y)))) (* (* (* (sqrt y) (sqrt y)) (sqrt y)) (* (* (* (sqrt y) (sqrt y)) (sqrt y)) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (* (sqrt y) (sqrt y)) (sqrt y)) (* (* (* (sqrt y) (+ x y)) (* (sqrt y) (+ x y))) (* (sqrt y) (+ x y)))) (* (cbrt (* (sqrt y) (* (sqrt y) (+ x y)))) (cbrt (* (sqrt y) (* (sqrt y) (+ x y))))) (cbrt (* (sqrt y) (* (sqrt y) (+ x y)))) (* (* (* (sqrt y) (* (sqrt y) (+ x y))) (* (sqrt y) (* (sqrt y) (+ x y)))) (* (sqrt y) (* (sqrt y) (+ x y)))) (sqrt (* (sqrt y) (* (sqrt y) (+ x y)))) (sqrt (* (sqrt y) (* (sqrt y) (+ x y)))) (* (sqrt y) (* (sqrt y) x)) (* (sqrt y) (* (sqrt y) y)) (* (sqrt y) (* x (sqrt y))) (* (sqrt y) (* y (sqrt y))) (* (* (sqrt y) x) (sqrt y)) (* (* (sqrt y) y) (sqrt y)) (* (* x (sqrt y)) (sqrt y)) (* (* y (sqrt y)) (sqrt y)) (* (sqrt y) (sqrt y)) (* (cbrt (sqrt y)) (* (sqrt y) (+ x y))) (* (sqrt (cbrt y)) (* (sqrt y) (+ x y))) (* (sqrt (sqrt y)) (* (sqrt y) (+ x y))) (* (sqrt y) (* (sqrt y) (+ x y))) (* (sqrt (sqrt y)) (* (sqrt y) (+ x y))) (* (sqrt y) (* (sqrt y) (+ x y))) (* (sqrt y) (* (sqrt y) (+ (pow x 3) (pow y 3)))) (* (sqrt y) (* (sqrt y) (- (* x x) (* y y)))) (expm1 (* (sqrt y) (+ x y))) (log1p (* (sqrt y) (+ x y))) (* (sqrt y) (+ x y)) (+ (log (sqrt y)) (log (+ x y))) (log (* (sqrt y) (+ x y))) (exp (* (sqrt y) (+ x y))) (* (* (* (sqrt y) (sqrt y)) (sqrt y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (sqrt y) (+ x y))) (cbrt (* (sqrt y) (+ x y)))) (cbrt (* (sqrt y) (+ x y))) (* (* (* (sqrt y) (+ x y)) (* (sqrt y) (+ x y))) (* (sqrt y) (+ x y))) (sqrt (* (sqrt y) (+ x y))) (sqrt (* (sqrt y) (+ x y))) (* (sqrt (sqrt y)) (sqrt (+ x y))) (* (sqrt (sqrt y)) (sqrt (+ x y))) (* (sqrt (sqrt y)) (sqrt (+ x y))) (* (sqrt (sqrt y)) (sqrt (+ x y))) (* (sqrt y) x) (* (sqrt y) y) (* x (sqrt y)) (* y (sqrt y)) (* (sqrt y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) 1) (* (sqrt y) 1) (* (cbrt (sqrt y)) (+ x y)) (* (sqrt (cbrt y)) (+ x y)) (* (sqrt (sqrt y)) (+ x y)) (* (sqrt y) (+ x y)) (* (sqrt (sqrt y)) (+ x y)) (* (sqrt y) (+ x y)) (* (sqrt y) (+ (pow x 3) (pow y 3))) (* (sqrt y) (- (* x x) (* y y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* 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))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (expm1 (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (log1p (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (* (exp (* x (+ x y))) (exp (* (sqrt y) (* (sqrt y) (+ x y))))) (log (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (exp (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (* (cbrt (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (cbrt (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y)))))) (cbrt (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (* (* (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y)))) (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (sqrt (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (sqrt (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y))))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (sqrt y) (* (sqrt y) (+ (pow x 3) (pow y 3)))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (sqrt y) (* (sqrt y) (- (* x x) (* y y)))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (sqrt y) (* (sqrt y) (+ (pow x 3) (pow y 3)))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* (sqrt y) (* (sqrt y) (- (* x x) (* y y)))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* (sqrt y) (* (sqrt y) (+ x y))) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* (sqrt y) (* (sqrt y) (+ x y))) (* (sqrt y) (* (sqrt y) (+ x y)))) (* (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y)))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* (sqrt y) (* (sqrt y) (+ x y))) (* (sqrt y) (* (sqrt y) (+ x y))))) (- (* x (+ x y)) (* (sqrt y) (* (sqrt y) (+ x y)))) (+ (* x (+ x y)) (* (sqrt y) (* (sqrt y) x))) (+ (* x (+ x y)) (* (sqrt y) (* x (sqrt y)))) (+ (* x (+ x y)) (* (* (sqrt y) x) (sqrt y))) (+ (* x (+ x y)) (* (* x (sqrt y)) (sqrt y))) (+ (* x y) (* (sqrt y) (* (sqrt y) (+ x y)))) (+ (* y x) (* (sqrt y) (* (sqrt y) (+ x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (pow y 3)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 (* x y))))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ x y)) (- (* +nan.0 y)))))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (- (+ (pow x 2) (* x y)) (* +nan.0 y)) 1.055 * * [simplify]: iteration 0 : 523 enodes (cost 719 ) 1.073 * * [simplify]: iteration 1 : 2890 enodes (cost 560 ) 1.145 * * [simplify]: iteration 2 : 5001 enodes (cost 543 ) 1.149 * [simplify]: Simplified to: (expm1 (* (sqrt y) (* (sqrt y) (+ x y)))) (log1p (* (sqrt y) (* (sqrt y) (+ x y)))) (* y (+ x y)) (* y (+ x y)) (+ (log y) (log (+ x y))) (+ (log y) (log (+ x y))) (+ (log y) (log (+ x y))) (pow (exp y) (+ x y)) (pow (* y (+ x y)) 3) (pow (* y (+ x y)) 3) (* (cbrt 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(* (+ x y) (* (+ x y) (- y x))))) (* (+ x y) (* (+ x y) (* (+ x y) (- x y)))) (- (* x x) (* y y)) (fma x (+ x y) (* y x)) (fma x (+ x y) (* y x)) (fma x (+ x y) (* y x)) (fma x (+ x y) (* y x)) (fma y x (* y (+ x y))) (fma y x (* y (+ x y))) (* y (+ x y)) (* y (+ x y)) (fma (- x) +nan.0 (* +nan.0 (- (/ x y) y))) (fma +nan.0 (* y (- y x)) (- (* +nan.0 (pow y 3)))) (fma (- x) +nan.0 (* +nan.0 (- (/ x y) y))) (fma (- x) +nan.0 (* +nan.0 (- (/ x y) y))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (fma x x (fma (* 2 x) y (* y y))) (fma x x (fma (* 2 x) y (* y y))) (fma y (- x +nan.0) (pow x 2)) 1.150 * * * [progress]: adding candidates to table 1.419 * [progress]: [Phase 3 of 3] Extracting. 1.419 * * [regime]: Finding splitpoints for: (# #) 1.419 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.419 * * * * [regimes]: Trying to branch on y from (# #) 1.432 * * * * [regimes]: Trying to branch on x from (# #) 1.448 * * * [regime]: Found split indices: #