9.054 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.027 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.030 * * [simplify]: iteration 1 : 27 enodes (cost 3 ) 0.032 * * [simplify]: iteration 2 : 66 enodes (cost 3 ) 0.035 * * [simplify]: iteration 3 : 113 enodes (cost 3 ) 0.038 * * [simplify]: iteration 4 : 145 enodes (cost 3 ) 0.041 * * [simplify]: iteration 5 : 165 enodes (cost 3 ) 0.044 * * [simplify]: iteration 6 : 182 enodes (cost 3 ) 0.047 * * [simplify]: iteration 7 : 184 enodes (cost 3 ) 0.051 * * [simplify]: iteration 8 : 184 enodes (cost 3 ) 0.051 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [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 0.080 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.080 * [taylor]: Taking taylor expansion of (+ x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.080 * [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 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of 2 in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.097 * * * [progress]: simplifying candidates 0.098 * [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)))) 0.104 * * [simplify]: iteration 0 : 194 enodes (cost 221 ) 0.112 * * [simplify]: iteration 1 : 953 enodes (cost 194 ) 0.147 * * [simplify]: iteration 2 : 5002 enodes (cost 180 ) 0.149 * [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)) 0.149 * * * [progress]: adding candidates to table 0.206 * * [progress]: iteration 2 / 4 0.206 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.211 * * * [progress]: localizing error 0.217 * * * [progress]: generating rewritten candidates 0.217 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.227 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.233 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.245 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.245 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of (+ x y) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of (+ x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.248 * [taylor]: Taking taylor expansion of 1 in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) 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 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [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 x in x 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.264 * [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 x in x 0.265 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.275 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.278 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.279 * [taylor]: Taking taylor expansion of 2 in y 0.279 * [taylor]: Taking taylor expansion of (* x y) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.279 * [taylor]: Taking taylor expansion of 2 in x 0.279 * [taylor]: Taking taylor expansion of (* x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.279 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.279 * [taylor]: Taking taylor expansion of 2 in x 0.279 * [taylor]: Taking taylor expansion of (* x y) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [taylor]: Taking taylor expansion of y in x 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.281 * [taylor]: Taking taylor expansion of 2 in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of 1 in y 0.284 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.285 * [taylor]: Taking taylor expansion of 2 in y 0.285 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [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 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.287 * [taylor]: Taking taylor expansion of 2 in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.288 * [taylor]: Taking taylor expansion of 2 in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.288 * [taylor]: Taking taylor expansion of (* x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.289 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.290 * [taylor]: Taking taylor expansion of 2 in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.294 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x 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 0.295 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.295 * [taylor]: Taking taylor expansion of 2 in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.295 * [taylor]: Taking taylor expansion of (* x y) in y 0.295 * [taylor]: Taking taylor expansion of x in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.296 * [taylor]: Taking taylor expansion of 2 in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.296 * [taylor]: Taking taylor expansion of (* x y) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.297 * [taylor]: Taking taylor expansion of 2 in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.297 * [taylor]: Taking taylor expansion of (* x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of 1 in y 0.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.299 * [taylor]: Taking taylor expansion of 2 in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.303 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.303 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.303 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (+ x y) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.303 * [taylor]: Taking taylor expansion of y in x 0.303 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (+ x y) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (+ x y) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of 1 in x 0.306 * [taylor]: Taking taylor expansion of 0 in x 0.307 * [taylor]: Taking taylor expansion of 0 in x 0.308 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.308 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.309 * [taylor]: Taking taylor expansion of x in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.309 * [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 y in y 0.310 * [taylor]: Taking taylor expansion of 1 in x 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.313 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [taylor]: Taking taylor expansion of 0 in x 0.319 * [taylor]: Taking taylor expansion of 0 in x 0.320 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.321 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) 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 y in y 0.323 * [taylor]: Taking taylor expansion of 1 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.331 * [taylor]: Taking taylor expansion of 0 in x 0.332 * * * [progress]: simplifying candidates 0.333 * [simplify]: Simplifying using # : (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)) (* 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 (* 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))) (+ (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) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.339 * * [simplify]: iteration 0 : 371 enodes (cost 403 ) 0.351 * * [simplify]: iteration 1 : 2121 enodes (cost 342 ) 0.406 * * [simplify]: iteration 2 : 5001 enodes (cost 336 ) 0.409 * [simplify]: Simplified to: (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) (* x y) (pow x 2) (* x y) (* 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))) (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 (* 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))) (* x y) (pow y 2) (* x y) (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))) (* x (+ x y)) (* x (+ x y)) (* x (+ 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))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) 0.409 * * * [progress]: adding candidates to table 0.568 * * [progress]: iteration 3 / 4 0.568 * * * [progress]: picking best candidate 0.571 * * * * [pick]: Picked # 0.571 * * * [progress]: localizing error 0.579 * * * [progress]: generating rewritten candidates 0.579 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.580 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.583 * * * [progress]: generating series expansions 0.583 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.583 * [approximate]: Taking taylor expansion of (fma x (+ x y) (* x y)) in (x y) around 0 0.583 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* x y)) in y 0.583 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* x y)) 0.583 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of (+ x y) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (* x y) in y 0.583 * [taylor]: Taking taylor expansion of x in y 0.583 * [taylor]: Taking taylor expansion of y in y 0.583 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* x y)) in x 0.583 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* x y)) 0.583 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (+ x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (* x y) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* x y)) in x 0.583 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* x y)) 0.583 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (+ x y) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of (* x y) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.585 * [taylor]: Taking taylor expansion of 2 in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of 1 in y 0.590 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) in (x y) around 0 0.593 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) in y 0.594 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) 0.594 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.594 * [taylor]: Taking taylor expansion of (* x y) in y 0.594 * [taylor]: Taking taylor expansion of x in y 0.594 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) in x 0.595 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) 0.595 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.595 * [taylor]: Taking taylor expansion of (* x y) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) in x 0.596 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) 0.596 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.597 * [taylor]: Taking taylor expansion of (* x y) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.601 * [taylor]: Taking taylor expansion of 1 in y 0.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.602 * [taylor]: Taking taylor expansion of 2 in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.610 * [taylor]: Taking taylor expansion of 0 in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) in (x y) around 0 0.616 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) in y 0.616 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ 1 (* x y))) 0.616 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in y 0.616 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.616 * [taylor]: Taking taylor expansion of -1 in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.616 * [taylor]: Taking taylor expansion of (* x y) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) in x 0.617 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ 1 (* x y))) 0.617 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in x 0.617 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.617 * [taylor]: Taking taylor expansion of -1 in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.617 * [taylor]: Taking taylor expansion of y in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.618 * [taylor]: Taking taylor expansion of (* x y) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) in x 0.618 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ 1 (* x y))) 0.618 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in x 0.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.618 * [taylor]: Taking taylor expansion of -1 in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.619 * [taylor]: Taking taylor expansion of (* x y) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of 1 in y 0.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.622 * [taylor]: Taking taylor expansion of 2 in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.637 * [taylor]: Taking taylor expansion of 0 in y 0.637 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.638 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x (+ x y) (* x y))) in (x y) around 0 0.638 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x (+ x y) (* x y))) in y 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* x y)) in y 0.638 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* x y)) 0.638 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of (+ x y) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (* x y) in y 0.638 * [taylor]: Taking taylor expansion of x in y 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x (+ x y) (* x y))) in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* x y)) in x 0.638 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* x y)) 0.638 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (+ x y) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (* x y) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x (+ x y) (* x y))) in x 0.638 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.638 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of (fma x (+ x y) (* x y)) in x 0.638 * [taylor]: Rewrote expression to (+ (* x (+ x y)) (* x y)) 0.639 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of (+ x y) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (* x y) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.639 * [taylor]: Taking taylor expansion of y in x 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.640 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.640 * [taylor]: Taking taylor expansion of 2 in y 0.640 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of 1 in y 0.644 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 0.644 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) (/ 1 (pow y 2))) in y 0.644 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) in y 0.644 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) 0.644 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.645 * [taylor]: Taking taylor expansion of x in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.645 * [taylor]: Taking taylor expansion of (* x y) in y 0.645 * [taylor]: Taking taylor expansion of x in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.645 * [taylor]: Taking taylor expansion of y in y 0.646 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) (/ 1 (pow y 2))) in x 0.646 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) in x 0.646 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) 0.646 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.647 * [taylor]: Taking taylor expansion of (* x y) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) (/ 1 (pow y 2))) in x 0.647 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (+ (/ 1 y) (/ 1 x)) (/ 1 (* x y))) in x 0.648 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) 0.648 * [taylor]: Taking taylor expansion of (* (/ 1 x) (+ (/ 1 y) (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.648 * [taylor]: Taking taylor expansion of (* x y) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of y in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.649 * [taylor]: Taking taylor expansion of y in x 0.650 * [taylor]: Taking taylor expansion of 1 in y 0.651 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.651 * [taylor]: Taking taylor expansion of 2 in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.656 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 0.656 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) (/ 1 (pow y 2))) in y 0.656 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) in y 0.657 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ 1 (* x y))) 0.657 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in y 0.657 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.657 * [taylor]: Taking taylor expansion of -1 in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in y 0.657 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.657 * [taylor]: Taking taylor expansion of (* x y) in y 0.657 * [taylor]: Taking taylor expansion of x in y 0.657 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.658 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.658 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) (/ 1 (pow y 2))) in x 0.658 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) in x 0.658 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ 1 (* x y))) 0.658 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in x 0.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.658 * [taylor]: Taking taylor expansion of -1 in x 0.658 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.659 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.659 * [taylor]: Taking taylor expansion of (* x y) in x 0.659 * [taylor]: Taking taylor expansion of x in x 0.659 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.660 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) (/ 1 (pow y 2))) in x 0.660 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (- (+ (/ 1 y) (/ 1 x))) (/ 1 (* x y))) in x 0.660 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) (/ 1 (* x y))) 0.660 * [taylor]: Taking taylor expansion of (* (/ -1 x) (- (+ (/ 1 y) (/ 1 x)))) in x 0.660 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.660 * [taylor]: Taking taylor expansion of -1 in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.660 * [taylor]: Taking taylor expansion of (- (+ (/ 1 y) (/ 1 x))) in x 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.660 * [taylor]: Taking taylor expansion of y in x 0.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.660 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.661 * [taylor]: Taking taylor expansion of (* x y) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.663 * [taylor]: Taking taylor expansion of 1 in y 0.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.664 * [taylor]: Taking taylor expansion of 2 in y 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.665 * [taylor]: Taking taylor expansion of y in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.670 * * * [progress]: simplifying candidates 0.670 * [simplify]: Simplifying using # : (expm1 (fma x (+ x y) (* x y))) (log1p (fma x (+ x y) (* x y))) (* x (+ x y)) (log (fma x (+ x y) (* x y))) (exp (fma x (+ x y) (* x y))) (* (cbrt (fma x (+ x y) (* x y))) (cbrt (fma x (+ x y) (* x y)))) (cbrt (fma x (+ x y) (* x y))) (* (* (fma x (+ x y) (* x y)) (fma x (+ x y) (* x y))) (fma x (+ x y) (* x y))) (sqrt (fma x (+ x y) (* x y))) (sqrt (fma x (+ x y) (* x y))) (expm1 (+ (fma x (+ x y) (* x y)) (* y y))) (log1p (+ (fma x (+ x y) (* x y)) (* y y))) (* (exp (fma x (+ x y) (* x y))) (exp (* y y))) (log (+ (fma x (+ x y) (* x y)) (* y y))) (exp (+ (fma x (+ x y) (* x y)) (* y y))) (* (cbrt (+ (fma x (+ x y) (* x y)) (* y y))) (cbrt (+ (fma x (+ x y) (* x y)) (* y y)))) (cbrt (+ (fma x (+ x y) (* x y)) (* y y))) (* (* (+ (fma x (+ x y) (* x y)) (* y y)) (+ (fma x (+ x y) (* x y)) (* y y))) (+ (fma x (+ x y) (* x y)) (* y y))) (sqrt (+ (fma x (+ x y) (* x y)) (* y y))) (sqrt (+ (fma x (+ x y) (* x y)) (* y y))) (+ (pow (fma x (+ x y) (* x y)) 3) (pow (* y y) 3)) (+ (* (fma x (+ x y) (* x y)) (fma x (+ x y) (* x y))) (- (* (* y y) (* y y)) (* (fma x (+ x y) (* x y)) (* y y)))) (- (* (fma x (+ x y) (* x y)) (fma x (+ x y) (* x y))) (* (* y y) (* y y))) (- (fma x (+ x y) (* x y)) (* y y)) (+ (* x y) (* y y)) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 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) (+ (pow y 2) (* 2 (* x y)))) 0.675 * * [simplify]: iteration 0 : 120 enodes (cost 191 ) 0.680 * * [simplify]: iteration 1 : 450 enodes (cost 168 ) 0.691 * * [simplify]: iteration 2 : 1817 enodes (cost 162 ) 0.745 * * [simplify]: iteration 3 : 5001 enodes (cost 144 ) 0.747 * [simplify]: Simplified to: (expm1 (fma x (+ x y) (* x y))) (log1p (fma x (+ x y) (* x y))) (* x (+ x y)) (log (fma x (+ x y) (* x y))) (pow (exp x) (fma 2 y x)) (* (cbrt (fma x (+ x y) (* x y))) (cbrt (fma x (+ x y) (* x y)))) (cbrt (fma x (+ x y) (* x y))) (pow (fma x (+ x y) (* x y)) 3) (sqrt (fma x (+ x y) (* x y))) (sqrt (fma x (+ x y) (* x y))) (expm1 (+ (fma x (+ x y) (* x y)) (* y y))) (log1p (+ (fma x (+ x y) (* x y)) (* y y))) (pow (exp (+ x y)) (+ x y)) (+ (log (+ x y)) (log (+ x y))) (pow (exp (+ x y)) (+ x y)) (* (cbrt (+ (fma x (+ x y) (* x y)) (* y y))) (cbrt (+ (fma x (+ x y) (* x y)) (* y y)))) (cbrt (+ (fma x (+ x y) (* x y)) (* y y))) (pow (fma y y (fma x (+ x y) (* x y))) 3) (fabs (+ x y)) (fabs (+ x y)) (fma y (pow y 5) (pow (fma x (+ x y) (* x y)) 3)) (fma (fma (* 2 x) y (pow x 2)) (- (fma x (+ x y) (* x y)) (* y y)) (pow y 4)) (* (* (+ x y) (+ x y)) (- (fma (* 2 x) y (pow x 2)) (pow y 2))) (fma y (- x y) (* x (+ x y))) (fma x y (* y y)) (fma (* 2 x) y (pow x 2)) (fma (* 2 x) y (pow x 2)) (fma (* 2 x) y (pow x 2)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) 0.747 * * * [progress]: adding candidates to table 0.836 * * [progress]: iteration 4 / 4 0.836 * * * [progress]: picking best candidate 0.838 * * * * [pick]: Picked # 0.838 * * * [progress]: localizing error 0.848 * * * [progress]: generating rewritten candidates 0.848 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.881 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.894 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.903 * * * [progress]: generating series expansions 0.903 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.903 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.903 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.904 * [taylor]: Taking taylor expansion of x in y 0.904 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.904 * [taylor]: Taking taylor expansion of 2 in y 0.904 * [taylor]: Taking taylor expansion of (* x y) in y 0.904 * [taylor]: Taking taylor expansion of x in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.904 * [taylor]: Taking taylor expansion of 2 in x 0.904 * [taylor]: Taking taylor expansion of (* x y) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.904 * [taylor]: Taking taylor expansion of 2 in x 0.904 * [taylor]: Taking taylor expansion of (* x y) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.905 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.906 * [taylor]: Taking taylor expansion of 2 in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of 1 in y 0.910 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.910 * [taylor]: Taking taylor expansion of x in y 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.911 * [taylor]: Taking taylor expansion of 2 in y 0.911 * [taylor]: Taking taylor expansion of (/ 1 (* x 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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.912 * [taylor]: Taking taylor expansion of 2 in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.912 * [taylor]: Taking taylor expansion of (* x y) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of y in x 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.913 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.914 * [taylor]: Taking taylor expansion of 2 in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.914 * [taylor]: Taking taylor expansion of (* x y) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of 1 in y 0.916 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.916 * [taylor]: Taking taylor expansion of 2 in y 0.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.916 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.920 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.920 * [taylor]: Taking taylor expansion of x in y 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.921 * [taylor]: Taking taylor expansion of 2 in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.921 * [taylor]: Taking taylor expansion of (* x y) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.922 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.922 * [taylor]: Taking taylor expansion of 2 in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.922 * [taylor]: Taking taylor expansion of (* x y) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.922 * [taylor]: Taking taylor expansion of y in x 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.923 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.924 * [taylor]: Taking taylor expansion of 2 in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.924 * [taylor]: Taking taylor expansion of (* x y) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of 1 in y 0.925 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.926 * [taylor]: Taking taylor expansion of 2 in y 0.926 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.926 * [taylor]: Taking taylor expansion of y in y 0.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.928 * [taylor]: Taking taylor expansion of y in y 0.929 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.930 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.930 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (+ x y) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (+ x y) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (+ x y) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of 0 in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [taylor]: Taking taylor expansion of 1 in x 0.933 * [taylor]: Taking taylor expansion of 0 in x 0.934 * [taylor]: Taking taylor expansion of 0 in x 0.934 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of 1 in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.940 * [taylor]: Taking taylor expansion of 0 in x 0.943 * [taylor]: Taking taylor expansion of 0 in x 0.946 * [taylor]: Taking taylor expansion of 0 in x 0.946 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.946 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.946 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.946 * [taylor]: Taking taylor expansion of y in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.947 * [taylor]: Taking taylor expansion of y in x 0.947 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.947 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.947 * [taylor]: Taking taylor expansion of y in y 0.947 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.948 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.948 * [taylor]: Taking taylor expansion of y in y 0.948 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.948 * [taylor]: Taking taylor expansion of x in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [taylor]: Taking taylor expansion of 1 in x 0.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.950 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of 0 in x 0.955 * [taylor]: Taking taylor expansion of 0 in x 0.958 * [taylor]: Taking taylor expansion of 0 in x 0.958 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.959 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 0.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (* x y) in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (* x y) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (* x y) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of y in x 0.959 * [taylor]: Taking taylor expansion of 0 in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.961 * [taylor]: Taking taylor expansion of 1 in y 0.962 * [taylor]: Taking taylor expansion of 0 in y 0.964 * [taylor]: Taking taylor expansion of 0 in y 0.965 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.965 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.965 * [taylor]: Taking taylor expansion of (* x y) in y 0.965 * [taylor]: Taking taylor expansion of x in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.965 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.966 * [taylor]: Taking taylor expansion of (* x y) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.967 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.967 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.967 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.967 * [taylor]: Taking taylor expansion of (* x y) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of y in x 0.968 * [taylor]: Taking taylor expansion of 1 in y 0.969 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.969 * [taylor]: Taking taylor expansion of y in y 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.974 * [taylor]: Taking taylor expansion of 0 in y 0.977 * [taylor]: Taking taylor expansion of 0 in y 0.978 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 0.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.978 * [taylor]: Taking taylor expansion of x in y 0.978 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.978 * [taylor]: Taking taylor expansion of (* x y) in y 0.979 * [taylor]: Taking taylor expansion of x in y 0.979 * [taylor]: Taking taylor expansion of y in y 0.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.979 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.980 * [taylor]: Taking taylor expansion of (* x y) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of y in x 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.980 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.981 * [taylor]: Taking taylor expansion of (* x y) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of y in x 0.981 * [taylor]: Taking taylor expansion of 1 in y 0.986 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.988 * [taylor]: Taking taylor expansion of 0 in y 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.994 * [taylor]: Taking taylor expansion of 0 in y 0.995 * * * [progress]: simplifying candidates 0.996 * [simplify]: Simplifying using # : (expm1 (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (log1p (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (* (* (exp (pow x 2)) (exp (* x y))) (exp (* y (+ x y)))) (* (exp (+ (pow x 2) (* x y))) (exp (* y (+ x y)))) (log (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (exp (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (* (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y))))) (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (* (* (+ (+ (pow x 2) (* x y)) (* y (+ x y))) (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (sqrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (sqrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (+ (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (- x y)) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (* y (- (* x x) (* y y))))) (* (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (- x y)) (+ (* (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow x 2) (* x y)) (* y (+ (pow x 3) (pow y 3))))) (* (- (pow x 2) (* x y)) (+ (* x x) (- (* y y) (* x y)))) (+ (* (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (- x y)) (* (- (pow x 2) (* x y)) (* y (- (* x x) (* y y))))) (* (- (pow x 2) (* x y)) (- x y)) (+ (pow (+ (pow x 2) (* x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (+ (pow x 2) (* x y)) (* y (+ x y))))) (- (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (+ (pow x 2) (* x y)) (* y (+ x y))) (+ x y) (+ (+ (pow x 2) (* x y)) (* y x)) (+ (+ (pow x 2) (* x y)) (* x y)) (+ (* x y) (* y (+ x y))) (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 (+ (pow x 2) (* x y))) (log1p (+ (pow x 2) (* x y))) (* (exp (pow x 2)) (exp (* x y))) (log (+ (pow x 2) (* x y))) (exp (+ (pow x 2) (* x y))) (* (cbrt (+ (pow x 2) (* x y))) (cbrt (+ (pow x 2) (* x y)))) (cbrt (+ (pow x 2) (* x y))) (* (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y))) (+ (pow x 2) (* x y))) (sqrt (+ (pow x 2) (* x y))) (sqrt (+ (pow x 2) (* x y))) (+ (pow (pow x 2) 3) (pow (* x y) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* x y) (* x y)) (* (pow x 2) (* x y)))) (- (* (pow x 2) (pow x 2)) (* (* x y) (* x y))) (- (pow x 2) (* x 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)))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 1.003 * * [simplify]: iteration 0 : 367 enodes (cost 454 ) 1.014 * * [simplify]: iteration 1 : 1922 enodes (cost 397 ) 1.062 * * [simplify]: iteration 2 : 5002 enodes (cost 362 ) 1.065 * [simplify]: Simplified to: (expm1 (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (log1p (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (exp (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ x y) (+ x y))) (* (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y))))) (cbrt (+ (+ (pow x 2) (* x y)) (* y (+ x y)))) (pow (* (+ x y) (+ x y)) 3) (fabs (+ x y)) (fabs (+ x y)) (fma (fma y (- y x) (pow x 2)) (+ (pow (pow x 2) 3) (pow (* x y) 3)) (* (* y (+ (pow x 3) (pow y 3))) (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4)))) (* (fma x x (- (* y y) (* x y))) (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4))) (fma (fma (* x y) (- (* x y) (pow x 2)) (pow x 4)) (* y (- (* x x) (* y y))) (* (+ (pow (pow x 2) 3) (pow (* x y) 3)) (- x y))) (* (- x y) (+ (* (* x y) (- (* x y) (pow x 2))) (pow x 4))) (fma (* (fma y (- y x) (pow x 2)) (fma y x (pow x 2))) (* x (- x y)) (* (* (* x (- x y)) y) (+ (pow x 3) (pow y 3)))) (* (fma x x (- (* y y) (* x y))) (- (pow x 2) (* x y))) (fma (* (- x y) (fma y x (pow x 2))) (* x (- x y)) (* (* (* x (- x y)) (- (* x x) (* y y))) y)) (* (- (pow x 2) (* x y)) (- x y)) (fma (pow y 3) (pow (+ x y) 3) (pow (fma y x (pow x 2)) 3)) (fma y (* (+ x y) (fma y (+ x y) (- (fma y x (pow x 2))))) (* (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)))) (* (* (+ x y) (+ x y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (+ x y) (fma y x (fma y x (pow x 2))) (fma y x (fma y x (pow x 2))) (fma x y (* y (+ x y))) (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))) (* x y) (pow y 2) (* x y) (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 (+ (pow x 2) (* x y))) (log1p (+ (pow x 2) (* x y))) (pow (exp x) (+ x y)) (log (+ (pow x 2) (* x y))) (pow (exp x) (+ x y)) (* (cbrt (+ (pow x 2) (* x y))) (cbrt (+ (pow x 2) (* x y)))) (cbrt (+ (pow x 2) (* x y))) (pow (fma y x (pow x 2)) 3) (sqrt (+ (pow x 2) (* x y))) (sqrt (+ (pow x 2) (* x y))) (+ (pow (pow x 2) 3) (pow (* x y) 3)) (fma (pow x 2) (* y (- y x)) (pow x 4)) (* (pow x 2) (- (pow x 2) (pow y 2))) (* x (- x y)) (+ x y) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (fma y x (pow x 2)) (fma y x (pow x 2)) (fma y x (pow x 2)) 1.065 * * * [progress]: adding candidates to table 1.274 * [progress]: [Phase 3 of 3] Extracting. 1.274 * * [regime]: Finding splitpoints for: (# #) 1.274 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.274 * * * * [regimes]: Trying to branch on y from (# #) 1.289 * * * * [regimes]: Trying to branch on x from (# #) 1.301 * * * [regime]: Found split indices: #