47.265 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.027 * * [simplify]: iteration 0: 4 enodes 0.028 * * [simplify]: iteration 1: 11 enodes 0.030 * * [simplify]: iteration 2: 27 enodes 0.035 * * [simplify]: iteration 3: 65 enodes 0.046 * * [simplify]: iteration 4: 147 enodes 0.069 * * [simplify]: iteration 5: 243 enodes 0.093 * * [simplify]: iteration 6: 273 enodes 0.115 * * [simplify]: iteration 7: 290 enodes 0.139 * * [simplify]: iteration 8: 292 enodes 0.163 * * [simplify]: iteration complete: 292 enodes 0.163 * * [simplify]: Extracting #0: cost 1 inf + 0 0.163 * * [simplify]: Extracting #1: cost 19 inf + 0 0.163 * * [simplify]: Extracting #2: cost 15 inf + 44 0.163 * * [simplify]: Extracting #3: cost 0 inf + 1125 0.164 * [simplify]: Simplified to: (* (+ y x) (+ y x)) 0.165 * * [progress]: iteration 1 / 4 0.165 * * * [progress]: picking best candidate 0.168 * * * * [pick]: Picked # 0.168 * * * [progress]: localizing error 0.173 * * * [progress]: generating rewritten candidates 0.173 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.217 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.217 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.217 * [taylor]: Taking taylor expansion of (+ x y) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [backup-simplify]: Simplify x into x 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (+ x 0) into x 0.217 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.217 * [taylor]: Taking taylor expansion of (+ x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [backup-simplify]: Simplify (+ 0 y) into y 0.217 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.217 * [taylor]: Taking taylor expansion of (+ x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [backup-simplify]: Simplify (+ 0 y) into y 0.217 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.217 * [taylor]: Taking taylor expansion of y in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.218 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.218 * [taylor]: Taking taylor expansion of 2 in y 0.218 * [backup-simplify]: Simplify 2 into 2 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* 2 0) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.220 * [taylor]: Taking taylor expansion of 1 in y 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.221 * [backup-simplify]: Simplify 2 into 2 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.222 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.222 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.222 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.222 * [taylor]: Taking taylor expansion of x in y 0.222 * [backup-simplify]: Simplify x into x 0.222 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.222 * [taylor]: Taking taylor expansion of y in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify (+ 0 1) into 1 0.224 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [backup-simplify]: Simplify y into y 0.224 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.225 * [taylor]: Taking taylor expansion of y in x 0.225 * [backup-simplify]: Simplify y into y 0.225 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (* 1 1) into 1 0.226 * [taylor]: Taking taylor expansion of 1 in y 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.227 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.227 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.227 * [taylor]: Taking taylor expansion of 2 in y 0.227 * [backup-simplify]: Simplify 2 into 2 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 2 1) into 2 0.232 * [backup-simplify]: Simplify 2 into 2 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.233 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 x) (/ 1 y)) 2) 0.233 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [backup-simplify]: Simplify x into x 0.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [backup-simplify]: Simplify y into y 0.235 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.235 * [backup-simplify]: Simplify (+ 1 0) into 1 0.235 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [backup-simplify]: Simplify y into y 0.236 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.238 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.238 * [taylor]: Taking taylor expansion of 2 in y 0.238 * [backup-simplify]: Simplify 2 into 2 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.241 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 2 1) into 2 0.242 * [backup-simplify]: Simplify 2 into 2 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.243 * * * [progress]: simplifying candidates 0.244 * [simplify]: Simplifying: (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 y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 0.245 * * [simplify]: iteration 0: 64 enodes 0.260 * * [simplify]: iteration 1: 232 enodes 0.439 * * [simplify]: iteration 2: 1738 enodes 1.255 * * [simplify]: iteration complete: 5001 enodes 1.255 * * [simplify]: Extracting #0: cost 28 inf + 0 1.257 * * [simplify]: Extracting #1: cost 764 inf + 2 1.262 * * [simplify]: Extracting #2: cost 1614 inf + 3067 1.289 * * [simplify]: Extracting #3: cost 1348 inf + 101020 1.335 * * [simplify]: Extracting #4: cost 95 inf + 286763 1.403 * * [simplify]: Extracting #5: cost 1 inf + 303655 1.473 * * [simplify]: Extracting #6: cost 0 inf + 303908 1.548 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (+ (log (+ x y)) (log (+ x y))) (+ (log (+ x y)) (log (+ 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)))) (fabs (+ x y)) (fabs (+ x y)) (* (fma x (* x x) (* (* y y) y)) (fma x (* x x) (* (* y y) y))) (* (fma y (- y x) (* x x)) (fma y (- y x) (* x x))) (fma (fma x (* x x) (* (* y y) y)) (* x x) (- (* (fma x (* x x) (* (* y y) y)) (* y y)))) (* (fma y (- y x) (* x x)) (- x y)) (fma (fma x (* x x) (* (* y y) y)) (* x x) (- (* (fma x (* x x) (* (* y y) y)) (* y y)))) (* (fma y (- y x) (* x x)) (- x y)) (* (* (+ x y) (- x y)) (* (+ x y) (- x y))) (* (- x y) (- x y)) (* (cbrt (+ x y)) (+ x y)) (* (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)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (sqrt (+ x y)) (+ x y)) (+ x y) (+ x y) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (fma x (* x x) (* (* y y) y))) (* (* (- x y) (+ x y)) (+ x y)) (* (+ x y) (fma x (* x x) (* (* y y) y))) (* (* (- x y) (+ x y)) (+ x y)) (fma 2 (* x y) (fma x x (* y y))) (fma 2 (* x y) (fma x x (* y y))) (fma 2 (* x y) (fma x x (* y y))) 1.550 * * * [progress]: adding candidates to table 1.680 * * [progress]: iteration 2 / 4 1.680 * * * [progress]: picking best candidate 1.697 * * * * [pick]: Picked # 1.697 * * * [progress]: localizing error 1.712 * * * [progress]: generating rewritten candidates 1.712 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.737 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.756 * * * [progress]: generating series expansions 1.756 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.757 * [backup-simplify]: Simplify (* (+ x y) x) into (* (+ x y) x) 1.757 * [approximate]: Taking taylor expansion of (* (+ x y) x) in (x y) around 0 1.757 * [taylor]: Taking taylor expansion of (* (+ x y) x) in y 1.757 * [taylor]: Taking taylor expansion of (+ x y) in y 1.757 * [taylor]: Taking taylor expansion of x in y 1.757 * [backup-simplify]: Simplify x into x 1.757 * [taylor]: Taking taylor expansion of y in y 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of x in y 1.757 * [backup-simplify]: Simplify x into x 1.757 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 1.757 * [taylor]: Taking taylor expansion of (+ x y) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of y in x 1.757 * [backup-simplify]: Simplify y into y 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 1.757 * [taylor]: Taking taylor expansion of (+ x y) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of y in x 1.757 * [backup-simplify]: Simplify y into y 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (+ 0 y) into y 1.757 * [backup-simplify]: Simplify (* y 0) into 0 1.757 * [taylor]: Taking taylor expansion of 0 in y 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (+ 1 0) into 1 1.759 * [backup-simplify]: Simplify (+ (* y 1) (* 1 0)) into y 1.759 * [taylor]: Taking taylor expansion of y in y 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (+ 0 0) into 0 1.760 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 0))) into 1 1.760 * [taylor]: Taking taylor expansion of 1 in y 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.761 * [taylor]: Taking taylor expansion of 0 in y 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.763 * [taylor]: Taking taylor expansion of 0 in y 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 1.763 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 x) (/ 1 y)) x) 1.763 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 1.763 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.763 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.763 * [taylor]: Taking taylor expansion of x in y 1.763 * [backup-simplify]: Simplify x into x 1.763 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.763 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of x in y 1.764 * [backup-simplify]: Simplify x into x 1.764 * [backup-simplify]: Simplify (+ 0 1) into 1 1.764 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.764 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.764 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.764 * [taylor]: Taking taylor expansion of y in x 1.764 * [backup-simplify]: Simplify y into y 1.765 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (+ 1 0) into 1 1.765 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.765 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.765 * [taylor]: Taking taylor expansion of y in x 1.765 * [backup-simplify]: Simplify y into y 1.766 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.766 * [taylor]: Taking taylor expansion of x in x 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 1 into 1 1.766 * [backup-simplify]: Simplify (+ 1 0) into 1 1.766 * [backup-simplify]: Simplify (/ 1 1) into 1 1.766 * [taylor]: Taking taylor expansion of 1 in y 1.766 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.767 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 1.767 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.767 * [taylor]: Taking taylor expansion of y in y 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.770 * [taylor]: Taking taylor expansion of 0 in y 1.770 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.774 * [taylor]: Taking taylor expansion of 0 in y 1.774 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.779 * [taylor]: Taking taylor expansion of 0 in y 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 1.779 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 x) (/ 1 y)) x) 1.779 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 1.780 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 1.780 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 1.780 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.780 * [taylor]: Taking taylor expansion of x in y 1.780 * [backup-simplify]: Simplify x into x 1.780 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.780 * [taylor]: Taking taylor expansion of y in y 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (/ 1 1) into 1 1.780 * [taylor]: Taking taylor expansion of x in y 1.780 * [backup-simplify]: Simplify x into x 1.781 * [backup-simplify]: Simplify (+ 0 1) into 1 1.781 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.781 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.781 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.781 * [taylor]: Taking taylor expansion of x in x 1.781 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify 1 into 1 1.781 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.781 * [taylor]: Taking taylor expansion of y in x 1.781 * [backup-simplify]: Simplify y into y 1.781 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.781 * [taylor]: Taking taylor expansion of x in x 1.781 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (+ 1 0) into 1 1.782 * [backup-simplify]: Simplify (/ 1 1) into 1 1.782 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 1.782 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.783 * [taylor]: Taking taylor expansion of y in x 1.783 * [backup-simplify]: Simplify y into y 1.783 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.783 * [backup-simplify]: Simplify (+ 1 0) into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.784 * [taylor]: Taking taylor expansion of 1 in y 1.784 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.785 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 1.785 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.785 * [taylor]: Taking taylor expansion of y in y 1.785 * [backup-simplify]: Simplify 0 into 0 1.785 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify (/ 1 1) into 1 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.787 * [backup-simplify]: Simplify (+ 0 0) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 1.788 * [taylor]: Taking taylor expansion of 0 in y 1.788 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.792 * [taylor]: Taking taylor expansion of 0 in y 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.795 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [taylor]: Taking taylor expansion of 0 in y 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 1.797 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.797 * [backup-simplify]: Simplify (+ (* (+ x y) x) (* (+ x y) y)) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.797 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in (x y) around 0 1.797 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in y 1.797 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.797 * [taylor]: Taking taylor expansion of y in y 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in y 1.797 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.797 * [taylor]: Taking taylor expansion of x in y 1.797 * [backup-simplify]: Simplify x into x 1.797 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.797 * [taylor]: Taking taylor expansion of 2 in y 1.797 * [backup-simplify]: Simplify 2 into 2 1.797 * [taylor]: Taking taylor expansion of (* x y) in y 1.797 * [taylor]: Taking taylor expansion of x in y 1.797 * [backup-simplify]: Simplify x into x 1.797 * [taylor]: Taking taylor expansion of y in y 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 1.797 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.797 * [taylor]: Taking taylor expansion of y in x 1.797 * [backup-simplify]: Simplify y into y 1.797 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 1.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.797 * [taylor]: Taking taylor expansion of 2 in x 1.797 * [backup-simplify]: Simplify 2 into 2 1.797 * [taylor]: Taking taylor expansion of (* x y) in x 1.797 * [taylor]: Taking taylor expansion of x in x 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [taylor]: Taking taylor expansion of y in x 1.798 * [backup-simplify]: Simplify y into y 1.798 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) in x 1.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.798 * [taylor]: Taking taylor expansion of y in x 1.798 * [backup-simplify]: Simplify y into y 1.798 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (* x y))) in x 1.798 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.798 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.798 * [taylor]: Taking taylor expansion of 2 in x 1.798 * [backup-simplify]: Simplify 2 into 2 1.798 * [taylor]: Taking taylor expansion of (* x y) in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.798 * [taylor]: Taking taylor expansion of y in x 1.798 * [backup-simplify]: Simplify y into y 1.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.798 * [backup-simplify]: Simplify (* 0 y) into 0 1.798 * [backup-simplify]: Simplify (* 2 0) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.799 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.799 * [taylor]: Taking taylor expansion of y in y 1.799 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.799 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.799 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 1.799 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.800 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.800 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.800 * [taylor]: Taking taylor expansion of 2 in y 1.800 * [backup-simplify]: Simplify 2 into 2 1.800 * [taylor]: Taking taylor expansion of y in y 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify 1 into 1 1.800 * [backup-simplify]: Simplify (* 2 0) into 0 1.800 * [backup-simplify]: Simplify 0 into 0 1.800 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.800 * [backup-simplify]: Simplify (* 1 1) into 1 1.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 1.802 * [backup-simplify]: Simplify (+ 1 0) into 1 1.802 * [backup-simplify]: Simplify (+ 0 1) into 1 1.802 * [taylor]: Taking taylor expansion of 1 in y 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.803 * [backup-simplify]: Simplify 2 into 2 1.803 * [backup-simplify]: Simplify (* 1 1) into 1 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.803 * [backup-simplify]: Simplify (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 1.803 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 1.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.804 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.804 * [taylor]: Taking taylor expansion of y in y 1.804 * [backup-simplify]: Simplify 0 into 0 1.804 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (/ 1 1) into 1 1.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 1.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.808 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.808 * [taylor]: Taking taylor expansion of x in y 1.808 * [backup-simplify]: Simplify x into x 1.808 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.808 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.808 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.808 * [taylor]: Taking taylor expansion of 2 in y 1.808 * [backup-simplify]: Simplify 2 into 2 1.808 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.808 * [taylor]: Taking taylor expansion of (* x y) in y 1.808 * [taylor]: Taking taylor expansion of x in y 1.808 * [backup-simplify]: Simplify x into x 1.808 * [taylor]: Taking taylor expansion of y in y 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (* x 0) into 0 1.809 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.809 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.809 * [taylor]: Taking taylor expansion of y in x 1.809 * [backup-simplify]: Simplify y into y 1.809 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.809 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.809 * [taylor]: Taking taylor expansion of x in x 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (* 1 1) into 1 1.810 * [backup-simplify]: Simplify (/ 1 1) into 1 1.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.810 * [taylor]: Taking taylor expansion of 2 in x 1.810 * [backup-simplify]: Simplify 2 into 2 1.810 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.810 * [taylor]: Taking taylor expansion of (* x y) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [taylor]: Taking taylor expansion of y in x 1.810 * [backup-simplify]: Simplify y into y 1.811 * [backup-simplify]: Simplify (* 0 y) into 0 1.811 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.811 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.811 * [taylor]: Taking taylor expansion of y in x 1.811 * [backup-simplify]: Simplify y into y 1.811 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.811 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (* 1 1) into 1 1.812 * [backup-simplify]: Simplify (/ 1 1) into 1 1.812 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.812 * [taylor]: Taking taylor expansion of 2 in x 1.812 * [backup-simplify]: Simplify 2 into 2 1.812 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.812 * [taylor]: Taking taylor expansion of (* x y) in x 1.812 * [taylor]: Taking taylor expansion of x in x 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [taylor]: Taking taylor expansion of y in x 1.812 * [backup-simplify]: Simplify y into y 1.812 * [backup-simplify]: Simplify (* 0 y) into 0 1.812 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.812 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.813 * [backup-simplify]: Simplify (+ 1 0) into 1 1.813 * [backup-simplify]: Simplify (+ 0 1) into 1 1.813 * [taylor]: Taking taylor expansion of 1 in y 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.814 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.814 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.814 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.814 * [taylor]: Taking taylor expansion of 2 in y 1.814 * [backup-simplify]: Simplify 2 into 2 1.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.814 * [taylor]: Taking taylor expansion of y in y 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.815 * [backup-simplify]: Simplify (/ 1 1) into 1 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.817 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.818 * [taylor]: Taking taylor expansion of y in y 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (* 1 1) into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (* 2 1) into 2 1.819 * [backup-simplify]: Simplify 2 into 2 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.820 * [backup-simplify]: Simplify (+ (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) 1.820 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in y 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.820 * [taylor]: Taking taylor expansion of y in y 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (* 1 1) into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in y 1.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.820 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.820 * [taylor]: Taking taylor expansion of x in y 1.820 * [backup-simplify]: Simplify x into x 1.820 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.821 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.821 * [taylor]: Taking taylor expansion of 2 in y 1.821 * [backup-simplify]: Simplify 2 into 2 1.821 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.821 * [taylor]: Taking taylor expansion of (* x y) in y 1.821 * [taylor]: Taking taylor expansion of x in y 1.821 * [backup-simplify]: Simplify x into x 1.821 * [taylor]: Taking taylor expansion of y in y 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (* x 0) into 0 1.821 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.821 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.821 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.821 * [taylor]: Taking taylor expansion of y in x 1.821 * [backup-simplify]: Simplify y into y 1.821 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.821 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.821 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.821 * [taylor]: Taking taylor expansion of x in x 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (* 1 1) into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.822 * [taylor]: Taking taylor expansion of 2 in x 1.822 * [backup-simplify]: Simplify 2 into 2 1.822 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.822 * [taylor]: Taking taylor expansion of (* x y) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [taylor]: Taking taylor expansion of y in x 1.822 * [backup-simplify]: Simplify y into y 1.822 * [backup-simplify]: Simplify (* 0 y) into 0 1.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.823 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y))))) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.823 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.823 * [taylor]: Taking taylor expansion of y in x 1.823 * [backup-simplify]: Simplify y into y 1.823 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.823 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (* x y)))) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.823 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (* 1 1) into 1 1.823 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.823 * [taylor]: Taking taylor expansion of 2 in x 1.823 * [backup-simplify]: Simplify 2 into 2 1.823 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.823 * [taylor]: Taking taylor expansion of (* x y) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.823 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [taylor]: Taking taylor expansion of y in x 1.824 * [backup-simplify]: Simplify y into y 1.824 * [backup-simplify]: Simplify (* 0 y) into 0 1.824 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.824 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.824 * [backup-simplify]: Simplify (+ 1 0) into 1 1.824 * [backup-simplify]: Simplify (+ 0 1) into 1 1.825 * [taylor]: Taking taylor expansion of 1 in y 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.826 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.826 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.826 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.826 * [taylor]: Taking taylor expansion of 2 in y 1.826 * [backup-simplify]: Simplify 2 into 2 1.826 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.826 * [taylor]: Taking taylor expansion of y in y 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.828 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.829 * [taylor]: Taking taylor expansion of y in y 1.829 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify 1 into 1 1.829 * [backup-simplify]: Simplify (* 1 1) into 1 1.829 * [backup-simplify]: Simplify (/ 1 1) into 1 1.829 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (* 2 1) into 2 1.830 * [backup-simplify]: Simplify 2 into 2 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.830 * * * [progress]: simplifying candidates 1.831 * [simplify]: Simplifying: (expm1 (* (+ x y) x)) (log1p (* (+ x y) x)) (* (+ x y) x) (+ (log (+ x y)) (log x)) (log (* (+ x y) x)) (exp (* (+ x y) x)) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* x x) x)) (* (cbrt (* (+ x y) x)) (cbrt (* (+ x y) x))) (cbrt (* (+ x y) x)) (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) (sqrt (* (+ x y) x)) (sqrt (* (+ x y) x)) (* (sqrt (+ x y)) (sqrt x)) (* (sqrt (+ x y)) (sqrt x)) (* (+ x y) (* (cbrt x) (cbrt x))) (* (+ x y) (sqrt x)) (* (+ x y) 1) (* (cbrt (+ x y)) x) (* (sqrt (+ x y)) x) (* (+ x y) x) (* (+ x y) x) (* (+ (pow x 3) (pow y 3)) x) (* (- (* x x) (* y y)) x) (expm1 (+ (* (+ x y) x) (* (+ x y) y))) (log1p (+ (* (+ x y) x) (* (+ x y) y))) (* (exp (* (+ x y) x)) (exp (* (+ x y) y))) (log (+ (* (+ x y) x) (* (+ x y) y))) (exp (+ (* (+ x y) x) (* (+ x y) y))) (* (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (cbrt (+ (* (+ x y) x) (* (+ x y) y)))) (cbrt (+ (* (+ x y) x) (* (+ x y) y))) (* (* (+ (* (+ x y) x) (* (+ x y) y)) (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (sqrt (+ (* (+ x y) x) (* (+ x y) y))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* (+ (pow x 3) (pow y 3)) y))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (+ (pow x 3) (pow y 3)) x) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* (+ (pow x 3) (pow y 3)) y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (- x y)) (* (- x y) (* (- (* x x) (* y y)) y))) (* (- x y) (- x y)) (+ (pow (* (+ x y) x) 3) (pow (* (+ x y) y) 3)) (+ (* (* (+ x y) 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) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 1.832 * * [simplify]: iteration 0: 92 enodes 1.855 * * [simplify]: iteration 1: 293 enodes 2.109 * * [simplify]: iteration 2: 1876 enodes 3.414 * * [simplify]: iteration complete: 5001 enodes 3.414 * * [simplify]: Extracting #0: cost 38 inf + 0 3.416 * * [simplify]: Extracting #1: cost 541 inf + 0 3.422 * * [simplify]: Extracting #2: cost 1515 inf + 3809 3.448 * * [simplify]: Extracting #3: cost 1003 inf + 81715 3.498 * * [simplify]: Extracting #4: cost 163 inf + 214056 3.581 * * [simplify]: Extracting #5: cost 15 inf + 242188 3.653 * * [simplify]: Extracting #6: cost 0 inf + 246849 3.713 * [simplify]: Simplified to: (expm1 (* (+ y x) x)) (log1p (* (+ y x) x)) (* (+ y x) x) (log (* (+ y x) x)) (log (* (+ y x) x)) (exp (* (+ y x) x)) (* (* (* (+ y x) x) (* (+ y x) x)) (* (+ y x) x)) (* (cbrt (* (+ y x) x)) (cbrt (* (+ y x) x))) (cbrt (* (+ y x) x)) (* (* (* (+ y x) x) (* (+ y x) x)) (* (+ y x) x)) (sqrt (* (+ y x) x)) (sqrt (* (+ y x) x)) (* (sqrt (+ y x)) (sqrt x)) (* (sqrt (+ y x)) (sqrt x)) (* (* (cbrt x) (+ y x)) (cbrt x)) (* (+ y x) (sqrt x)) (+ y x) (* x (cbrt (+ y x))) (* x (sqrt (+ y x))) (* (+ y x) x) (* (+ y x) x) (* (fma (* y y) y (* x (* x x))) x) (* x (* (+ x y) (- x y))) (expm1 (* (+ y x) (+ y x))) (log1p (* (+ y x) (+ y x))) (exp (* (+ y x) (+ y x))) (+ (log (+ y x)) (log (+ y x))) (exp (* (+ y x) (+ y x))) (* (cbrt (* (+ y x) (+ y x))) (cbrt (* (+ y x) (+ y x)))) (cbrt (* (+ y x) (+ y x))) (* (* (* (+ y x) (+ y x)) (+ y x)) (* (* (+ y x) (+ y x)) (+ y x))) (fabs (+ y x)) (fabs (+ y x)) (* (fma (- y x) y (* x x)) (fma (fma (* y y) y (* x (* x x))) y (* (fma (* y y) y (* x (* x x))) x))) (* (fma (- y x) y (* x x)) (fma (- y x) y (* x x))) (fma y (* (* (+ x y) (- x y)) (fma (- y x) y (* x x))) (* (* (- x y) x) (fma (* y y) y (* x (* x x))))) (* (fma (- y x) y (* x x)) (- x y)) (fma (+ y x) (* (- x y) (* x (fma (- y x) y (* x x)))) (* (- x y) (* (fma (* y y) y (* x (* x x))) y))) (* (fma (- y x) y (* x x)) (- x y)) (* (- x y) (fma y (* (+ x y) (- x y)) (* x (* (+ x y) (- x y))))) (* (- x y) (- x y)) (* (* (+ y x) (* (+ y x) (+ y x))) (fma (* y y) y (* x (* x x)))) (- (fma (* (+ y x) x) (* (+ y x) x) (* (* (+ y x) y) (* (+ y x) y))) (* (* (+ y x) x) (* (+ y x) y))) (* (* (+ y x) (* (+ y x) (+ y x))) (- x y)) (* (+ x y) (- x y)) (+ y x) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (fma (* x 2) y (fma y y (* x x))) (fma (* x 2) y (fma y y (* x x))) (fma (* x 2) y (fma y y (* x x))) 3.716 * * * [progress]: adding candidates to table 3.880 * * [progress]: iteration 3 / 4 3.880 * * * [progress]: picking best candidate 3.887 * * * * [pick]: Picked # 3.887 * * * [progress]: localizing error 3.895 * * * [progress]: generating rewritten candidates 3.895 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.895 * * * [progress]: generating series expansions 3.896 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.896 * [backup-simplify]: Simplify (fma (+ x y) x (* (+ x y) y)) into (fma (+ x y) x (* (+ x y) y)) 3.896 * [approximate]: Taking taylor expansion of (fma (+ x y) x (* (+ x y) y)) in (x y) around 0 3.896 * [taylor]: Taking taylor expansion of (fma (+ x y) x (* (+ x y) y)) in y 3.896 * [taylor]: Rewrote expression to (+ (* (+ x y) x) (* (+ x y) y)) 3.896 * [taylor]: Taking taylor expansion of (* (+ x y) x) in y 3.896 * [taylor]: Taking taylor expansion of (+ x y) in y 3.896 * [taylor]: Taking taylor expansion of x in y 3.896 * [backup-simplify]: Simplify x into x 3.896 * [taylor]: Taking taylor expansion of y in y 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of x in y 3.896 * [backup-simplify]: Simplify x into x 3.896 * [taylor]: Taking taylor expansion of (* (+ x y) y) in y 3.896 * [taylor]: Taking taylor expansion of (+ x y) in y 3.896 * [taylor]: Taking taylor expansion of x in y 3.896 * [backup-simplify]: Simplify x into x 3.896 * [taylor]: Taking taylor expansion of y in y 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of y in y 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of (fma (+ x y) x (* (+ x y) y)) in x 3.896 * [taylor]: Rewrote expression to (+ (* (+ x y) x) (* (+ x y) y)) 3.896 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 3.896 * [taylor]: Taking taylor expansion of (+ x y) in x 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of y in x 3.896 * [backup-simplify]: Simplify y into y 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 3.896 * [taylor]: Taking taylor expansion of (+ x y) in x 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [taylor]: Taking taylor expansion of y in x 3.896 * [backup-simplify]: Simplify y into y 3.896 * [taylor]: Taking taylor expansion of y in x 3.897 * [backup-simplify]: Simplify y into y 3.897 * [taylor]: Taking taylor expansion of (fma (+ x y) x (* (+ x y) y)) in x 3.897 * [taylor]: Rewrote expression to (+ (* (+ x y) x) (* (+ x y) y)) 3.897 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 3.897 * [taylor]: Taking taylor expansion of (+ x y) in x 3.897 * [taylor]: Taking taylor expansion of x in x 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [taylor]: Taking taylor expansion of y in x 3.897 * [backup-simplify]: Simplify y into y 3.897 * [taylor]: Taking taylor expansion of x in x 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [taylor]: Taking taylor expansion of (* (+ x y) y) in x 3.897 * [taylor]: Taking taylor expansion of (+ x y) in x 3.897 * [taylor]: Taking taylor expansion of x in x 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [taylor]: Taking taylor expansion of y in x 3.897 * [backup-simplify]: Simplify y into y 3.897 * [taylor]: Taking taylor expansion of y in x 3.897 * [backup-simplify]: Simplify y into y 3.897 * [backup-simplify]: Simplify (+ 0 y) into y 3.897 * [backup-simplify]: Simplify (* y 0) into 0 3.897 * [backup-simplify]: Simplify (+ 0 y) into y 3.897 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.897 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 3.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.897 * [taylor]: Taking taylor expansion of y in y 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (+ 1 0) into 1 3.898 * [backup-simplify]: Simplify (+ (* y 1) (* 1 0)) into y 3.898 * [backup-simplify]: Simplify (+ 1 0) into 1 3.899 * [backup-simplify]: Simplify (+ (* y 0) (* 1 y)) into y 3.899 * [backup-simplify]: Simplify (+ y y) into (* 2 y) 3.899 * [taylor]: Taking taylor expansion of (* 2 y) in y 3.899 * [taylor]: Taking taylor expansion of 2 in y 3.899 * [backup-simplify]: Simplify 2 into 2 3.899 * [taylor]: Taking taylor expansion of y in y 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 1 into 1 3.899 * [backup-simplify]: Simplify (* 2 0) into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 0))) into 1 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (* 0 y))) into 0 3.900 * [backup-simplify]: Simplify (+ 1 0) into 1 3.901 * [taylor]: Taking taylor expansion of 1 in y 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.901 * [backup-simplify]: Simplify 2 into 2 3.901 * [backup-simplify]: Simplify (* 1 1) into 1 3.901 * [backup-simplify]: Simplify 1 into 1 3.902 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 3.902 * [backup-simplify]: Simplify (fma (+ (/ 1 x) (/ 1 y)) (/ 1 x) (* (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (fma (+ (/ 1 x) (/ 1 y)) (/ 1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) 3.902 * [approximate]: Taking taylor expansion of (fma (+ (/ 1 x) (/ 1 y)) (/ 1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 3.902 * [taylor]: Taking taylor expansion of (fma (+ (/ 1 x) (/ 1 y)) (/ 1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) in y 3.902 * [taylor]: Rewrote expression to (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (/ (+ (/ 1 x) (/ 1 y)) y)) 3.902 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) in y 3.902 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.902 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.902 * [taylor]: Taking taylor expansion of x in y 3.902 * [backup-simplify]: Simplify x into x 3.902 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.902 * [taylor]: Taking taylor expansion of y in y 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (/ 1 1) into 1 3.903 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.903 * [taylor]: Taking taylor expansion of x in y 3.903 * [backup-simplify]: Simplify x into x 3.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 3.903 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.903 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.903 * [taylor]: Taking taylor expansion of x in y 3.903 * [backup-simplify]: Simplify x into x 3.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.903 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.903 * [taylor]: Taking taylor expansion of y in y 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (/ 1 1) into 1 3.903 * [taylor]: Taking taylor expansion of y in y 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (+ 0 1) into 1 3.904 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [taylor]: Taking taylor expansion of (fma (+ (/ 1 x) (/ 1 y)) (/ 1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) in x 3.904 * [taylor]: Rewrote expression to (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (/ (+ (/ 1 x) (/ 1 y)) y)) 3.904 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) in x 3.904 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.904 * [taylor]: Taking taylor expansion of x in x 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.905 * [taylor]: Taking taylor expansion of y in x 3.905 * [backup-simplify]: Simplify y into y 3.905 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.905 * [taylor]: Taking taylor expansion of x in x 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (/ 1 1) into 1 3.905 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 3.905 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.905 * [taylor]: Taking taylor expansion of x in x 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (/ 1 1) into 1 3.905 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.905 * [taylor]: Taking taylor expansion of y in x 3.905 * [backup-simplify]: Simplify y into y 3.905 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.905 * [taylor]: Taking taylor expansion of y in x 3.905 * [backup-simplify]: Simplify y into y 3.906 * [backup-simplify]: Simplify (+ 1 0) into 1 3.906 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.906 * [taylor]: Taking taylor expansion of (fma (+ (/ 1 x) (/ 1 y)) (/ 1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) in x 3.906 * [taylor]: Rewrote expression to (+ (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (/ (+ (/ 1 x) (/ 1 y)) y)) 3.906 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) in x 3.906 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.906 * [taylor]: Taking taylor expansion of x in x 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (/ 1 1) into 1 3.906 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.906 * [taylor]: Taking taylor expansion of y in x 3.906 * [backup-simplify]: Simplify y into y 3.906 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.906 * [taylor]: Taking taylor expansion of x in x 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (/ 1 1) into 1 3.907 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 3.907 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.907 * [taylor]: Taking taylor expansion of x in x 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.907 * [backup-simplify]: Simplify (/ 1 1) into 1 3.907 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.907 * [taylor]: Taking taylor expansion of y in x 3.907 * [backup-simplify]: Simplify y into y 3.907 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.907 * [taylor]: Taking taylor expansion of y in x 3.907 * [backup-simplify]: Simplify y into y 3.907 * [backup-simplify]: Simplify (+ 1 0) into 1 3.907 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.908 * [backup-simplify]: Simplify (+ 1 0) into 1 3.908 * [backup-simplify]: Simplify (* 1 1) into 1 3.908 * [backup-simplify]: Simplify (+ 1 0) into 1 3.908 * [taylor]: Taking taylor expansion of 1 in y 3.908 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) 1)) into (/ 1 y) 3.910 * [backup-simplify]: Simplify (+ (/ 1 y) (/ 1 y)) into (* 2 (/ 1 y)) 3.910 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.910 * [taylor]: Taking taylor expansion of 2 in y 3.910 * [backup-simplify]: Simplify 2 into 2 3.910 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.910 * [taylor]: Taking taylor expansion of y in y 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (/ 1 1) into 1 3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 1))) into 0 3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.916 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.916 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.916 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.916 * [taylor]: Taking taylor expansion of y in y 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (* 1 1) into 1 3.917 * [backup-simplify]: Simplify (/ 1 1) into 1 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (* 2 1) into 2 3.917 * [backup-simplify]: Simplify 2 into 2 3.917 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 3.918 * [backup-simplify]: Simplify (fma (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) 3.918 * [approximate]: Taking taylor expansion of (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 3.918 * [taylor]: Taking taylor expansion of (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) in y 3.918 * [taylor]: Rewrote expression to (+ (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 x)) (/ (+ (/ 1 x) (/ 1 y)) y)) 3.918 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 x)) in y 3.918 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in y 3.918 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.918 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.918 * [taylor]: Taking taylor expansion of x in y 3.918 * [backup-simplify]: Simplify x into x 3.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.918 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.918 * [taylor]: Taking taylor expansion of y in y 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.919 * [taylor]: Taking taylor expansion of (/ -1 x) in y 3.919 * [taylor]: Taking taylor expansion of -1 in y 3.919 * [backup-simplify]: Simplify -1 into -1 3.919 * [taylor]: Taking taylor expansion of x in y 3.919 * [backup-simplify]: Simplify x into x 3.919 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 3.919 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in y 3.919 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 3.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.919 * [taylor]: Taking taylor expansion of x in y 3.919 * [backup-simplify]: Simplify x into x 3.919 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.919 * [taylor]: Taking taylor expansion of y in y 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.919 * [taylor]: Taking taylor expansion of y in y 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (+ 0 1) into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [taylor]: Taking taylor expansion of (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) in x 3.920 * [taylor]: Rewrote expression to (+ (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 x)) (/ (+ (/ 1 x) (/ 1 y)) y)) 3.920 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 x)) in x 3.920 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in x 3.920 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.920 * [taylor]: Taking taylor expansion of x in x 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.920 * [taylor]: Taking taylor expansion of y in x 3.921 * [backup-simplify]: Simplify y into y 3.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.921 * [taylor]: Taking taylor expansion of -1 in x 3.921 * [backup-simplify]: Simplify -1 into -1 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (/ -1 1) into -1 3.921 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 3.921 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.921 * [taylor]: Taking taylor expansion of x in x 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (/ 1 1) into 1 3.921 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.921 * [taylor]: Taking taylor expansion of y in x 3.921 * [backup-simplify]: Simplify y into y 3.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.921 * [taylor]: Taking taylor expansion of y in x 3.921 * [backup-simplify]: Simplify y into y 3.922 * [backup-simplify]: Simplify (+ 1 0) into 1 3.922 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.922 * [taylor]: Taking taylor expansion of (fma (- (+ (/ 1 x) (/ 1 y))) (/ -1 x) (/ (+ (/ 1 x) (/ 1 y)) y)) in x 3.922 * [taylor]: Rewrote expression to (+ (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 x)) (/ (+ (/ 1 x) (/ 1 y)) y)) 3.922 * [taylor]: Taking taylor expansion of (* (- (+ (/ 1 x) (/ 1 y))) (/ -1 x)) in x 3.922 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) (/ 1 y))) in x 3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.922 * [taylor]: Taking taylor expansion of x in x 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify (/ 1 1) into 1 3.922 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.922 * [taylor]: Taking taylor expansion of y in x 3.922 * [backup-simplify]: Simplify y into y 3.922 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.922 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.922 * [taylor]: Taking taylor expansion of -1 in x 3.922 * [backup-simplify]: Simplify -1 into -1 3.922 * [taylor]: Taking taylor expansion of x in x 3.922 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ -1 1) into -1 3.923 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) y) in x 3.923 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 3.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.923 * [taylor]: Taking taylor expansion of x in x 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.923 * [taylor]: Taking taylor expansion of y in x 3.923 * [backup-simplify]: Simplify y into y 3.923 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.923 * [taylor]: Taking taylor expansion of y in x 3.923 * [backup-simplify]: Simplify y into y 3.924 * [backup-simplify]: Simplify (+ 1 0) into 1 3.924 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.924 * [backup-simplify]: Simplify (+ 1 0) into 1 3.924 * [backup-simplify]: Simplify (- 1) into -1 3.925 * [backup-simplify]: Simplify (* -1 -1) into 1 3.925 * [backup-simplify]: Simplify (+ 1 0) into 1 3.925 * [taylor]: Taking taylor expansion of 1 in y 3.925 * [backup-simplify]: Simplify 1 into 1 3.925 * [backup-simplify]: Simplify (- 1) into -1 3.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.926 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.927 * [backup-simplify]: Simplify (+ (* -1 0) (* (- (/ 1 y)) -1)) into (/ 1 y) 3.927 * [backup-simplify]: Simplify (+ (/ 1 y) (/ 1 y)) into (* 2 (/ 1 y)) 3.927 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 3.927 * [taylor]: Taking taylor expansion of 2 in y 3.927 * [backup-simplify]: Simplify 2 into 2 3.927 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.927 * [taylor]: Taking taylor expansion of y in y 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify 1 into 1 3.927 * [backup-simplify]: Simplify (/ 1 1) into 1 3.927 * [backup-simplify]: Simplify (- 1) into -1 3.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.929 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (- 0) into 0 3.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- (/ 1 y)) 0) (* 0 -1))) into 0 3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.931 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 3.931 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.931 * [taylor]: Taking taylor expansion of y in y 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* 1 1) into 1 3.931 * [backup-simplify]: Simplify (/ 1 1) into 1 3.931 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (* 2 1) into 2 3.932 * [backup-simplify]: Simplify 2 into 2 3.932 * [backup-simplify]: Simplify 1 into 1 3.932 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 3.932 * * * [progress]: simplifying candidates 3.933 * [simplify]: Simplifying: (expm1 (fma (+ x y) x (* (+ x y) y))) (log1p (fma (+ x y) x (* (+ x y) y))) (* (+ x y) x) (log (fma (+ x y) x (* (+ x y) y))) (exp (fma (+ x y) x (* (+ x y) y))) (* (cbrt (fma (+ x y) x (* (+ x y) y))) (cbrt (fma (+ x y) x (* (+ x y) y)))) (cbrt (fma (+ x y) x (* (+ x y) y))) (* (* (fma (+ x y) x (* (+ x y) y)) (fma (+ x y) x (* (+ x y) y))) (fma (+ x y) x (* (+ x y) y))) (sqrt (fma (+ x y) x (* (+ x y) y))) (sqrt (fma (+ x y) x (* (+ x y) y))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2 (* x y)))) 3.933 * * [simplify]: iteration 0: 22 enodes 3.936 * * [simplify]: iteration 1: 43 enodes 3.948 * * [simplify]: iteration 2: 150 enodes 4.013 * * [simplify]: iteration 3: 858 enodes 4.241 * * [simplify]: iteration complete: 5000 enodes 4.241 * * [simplify]: Extracting #0: cost 10 inf + 0 4.241 * * [simplify]: Extracting #1: cost 300 inf + 0 4.245 * * [simplify]: Extracting #2: cost 1035 inf + 8496 4.277 * * [simplify]: Extracting #3: cost 1669 inf + 106746 4.346 * * [simplify]: Extracting #4: cost 69 inf + 379998 4.429 * * [simplify]: Extracting #5: cost 0 inf + 395780 4.520 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) (* (+ x y) x) (+ (log (+ x y)) (log (+ x y))) (exp (* (+ 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))) (fma y (fma 2 x y) (* x x)) (fma y (fma 2 x y) (* x x)) (fma y (fma 2 x y) (* x x)) 4.521 * * * [progress]: adding candidates to table 4.583 * * [progress]: iteration 4 / 4 4.583 * * * [progress]: picking best candidate 4.589 * * * * [pick]: Picked # 4.589 * * * [progress]: localizing error 4.632 * * * [progress]: generating rewritten candidates 4.632 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.850 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 4.927 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.175 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 5.223 * * * [progress]: generating series expansions 5.223 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.223 * [backup-simplify]: Simplify (cbrt (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x))) into (* (+ x y) x) 5.223 * [approximate]: Taking taylor expansion of (* (+ x y) x) in (x y) around 0 5.223 * [taylor]: Taking taylor expansion of (* (+ x y) x) in y 5.223 * [taylor]: Taking taylor expansion of (+ x y) in y 5.223 * [taylor]: Taking taylor expansion of x in y 5.223 * [backup-simplify]: Simplify x into x 5.223 * [taylor]: Taking taylor expansion of y in y 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [taylor]: Taking taylor expansion of x in y 5.223 * [backup-simplify]: Simplify x into x 5.223 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 5.223 * [taylor]: Taking taylor expansion of (+ x y) in x 5.223 * [taylor]: Taking taylor expansion of x in x 5.223 * [backup-simplify]: Simplify 0 into 0 5.223 * [backup-simplify]: Simplify 1 into 1 5.223 * [taylor]: Taking taylor expansion of y in x 5.224 * [backup-simplify]: Simplify y into y 5.224 * [taylor]: Taking taylor expansion of x in x 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.224 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 5.224 * [taylor]: Taking taylor expansion of (+ x y) in x 5.224 * [taylor]: Taking taylor expansion of x in x 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.224 * [taylor]: Taking taylor expansion of y in x 5.224 * [backup-simplify]: Simplify y into y 5.224 * [taylor]: Taking taylor expansion of x in x 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 1 into 1 5.224 * [backup-simplify]: Simplify (+ 0 y) into y 5.224 * [backup-simplify]: Simplify (* y 0) into 0 5.224 * [taylor]: Taking taylor expansion of 0 in y 5.224 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify 0 into 0 5.225 * [backup-simplify]: Simplify (+ 1 0) into 1 5.225 * [backup-simplify]: Simplify (+ (* y 1) (* 1 0)) into y 5.226 * [taylor]: Taking taylor expansion of y in y 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 1 into 1 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (+ 0 0) into 0 5.227 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 0))) into 1 5.227 * [taylor]: Taking taylor expansion of 1 in y 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify (+ 0 0) into 0 5.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.229 * [taylor]: Taking taylor expansion of 0 in y 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify 0 into 0 5.229 * [backup-simplify]: Simplify (+ 0 0) into 0 5.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.231 * [taylor]: Taking taylor expansion of 0 in y 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 5.232 * [backup-simplify]: Simplify (cbrt (* (* (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 x))) (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)))) into (/ (+ (/ 1 x) (/ 1 y)) x) 5.232 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 5.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.232 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.232 * [taylor]: Taking taylor expansion of x in y 5.232 * [backup-simplify]: Simplify x into x 5.232 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.232 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.232 * [taylor]: Taking taylor expansion of y in y 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.233 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [taylor]: Taking taylor expansion of x in y 5.233 * [backup-simplify]: Simplify x into x 5.233 * [backup-simplify]: Simplify (+ 0 1) into 1 5.233 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.233 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.233 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.233 * [taylor]: Taking taylor expansion of x in x 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.234 * [backup-simplify]: Simplify (/ 1 1) into 1 5.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.234 * [taylor]: Taking taylor expansion of y in x 5.234 * [backup-simplify]: Simplify y into y 5.234 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.234 * [taylor]: Taking taylor expansion of x in x 5.234 * [backup-simplify]: Simplify 0 into 0 5.234 * [backup-simplify]: Simplify 1 into 1 5.235 * [backup-simplify]: Simplify (+ 1 0) into 1 5.235 * [backup-simplify]: Simplify (/ 1 1) into 1 5.235 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.235 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.235 * [taylor]: Taking taylor expansion of x in x 5.235 * [backup-simplify]: Simplify 0 into 0 5.235 * [backup-simplify]: Simplify 1 into 1 5.235 * [backup-simplify]: Simplify (/ 1 1) into 1 5.235 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.236 * [taylor]: Taking taylor expansion of y in x 5.236 * [backup-simplify]: Simplify y into y 5.236 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.236 * [taylor]: Taking taylor expansion of x in x 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.236 * [backup-simplify]: Simplify (+ 1 0) into 1 5.237 * [backup-simplify]: Simplify (/ 1 1) into 1 5.237 * [taylor]: Taking taylor expansion of 1 in y 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.238 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.238 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.238 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.238 * [taylor]: Taking taylor expansion of y in y 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (/ 1 1) into 1 5.239 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify 1 into 1 5.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.240 * [backup-simplify]: Simplify (+ 0 0) into 0 5.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 5.242 * [taylor]: Taking taylor expansion of 0 in y 5.242 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.244 * [backup-simplify]: Simplify (+ 0 0) into 0 5.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [taylor]: Taking taylor expansion of 0 in y 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.249 * [backup-simplify]: Simplify (+ 0 0) into 0 5.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.251 * [taylor]: Taking taylor expansion of 0 in y 5.251 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 5.253 * [backup-simplify]: Simplify (cbrt (* (* (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))))) into (/ (+ (/ 1 x) (/ 1 y)) x) 5.253 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 5.253 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.253 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.253 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.253 * [taylor]: Taking taylor expansion of x in y 5.253 * [backup-simplify]: Simplify x into x 5.253 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.253 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.253 * [taylor]: Taking taylor expansion of y in y 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.254 * [backup-simplify]: Simplify (/ 1 1) into 1 5.254 * [taylor]: Taking taylor expansion of x in y 5.254 * [backup-simplify]: Simplify x into x 5.254 * [backup-simplify]: Simplify (+ 0 1) into 1 5.254 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.254 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.254 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.254 * [taylor]: Taking taylor expansion of x in x 5.254 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify 1 into 1 5.255 * [backup-simplify]: Simplify (/ 1 1) into 1 5.255 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.255 * [taylor]: Taking taylor expansion of y in x 5.255 * [backup-simplify]: Simplify y into y 5.255 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.255 * [taylor]: Taking taylor expansion of x in x 5.255 * [backup-simplify]: Simplify 0 into 0 5.255 * [backup-simplify]: Simplify 1 into 1 5.255 * [backup-simplify]: Simplify (+ 1 0) into 1 5.256 * [backup-simplify]: Simplify (/ 1 1) into 1 5.256 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.256 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.256 * [taylor]: Taking taylor expansion of x in x 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.256 * [backup-simplify]: Simplify (/ 1 1) into 1 5.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.256 * [taylor]: Taking taylor expansion of y in x 5.256 * [backup-simplify]: Simplify y into y 5.256 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.256 * [taylor]: Taking taylor expansion of x in x 5.256 * [backup-simplify]: Simplify 0 into 0 5.256 * [backup-simplify]: Simplify 1 into 1 5.257 * [backup-simplify]: Simplify (+ 1 0) into 1 5.257 * [backup-simplify]: Simplify (/ 1 1) into 1 5.257 * [taylor]: Taking taylor expansion of 1 in y 5.257 * [backup-simplify]: Simplify 1 into 1 5.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.259 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.259 * [taylor]: Taking taylor expansion of y in y 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (/ 1 1) into 1 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.261 * [backup-simplify]: Simplify (+ 0 0) into 0 5.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 5.262 * [taylor]: Taking taylor expansion of 0 in y 5.262 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.265 * [backup-simplify]: Simplify (+ 0 0) into 0 5.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.267 * [taylor]: Taking taylor expansion of 0 in y 5.267 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.270 * [backup-simplify]: Simplify (+ 0 0) into 0 5.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.272 * [taylor]: Taking taylor expansion of 0 in y 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 5.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 5.273 * [backup-simplify]: Simplify (* (* (+ x y) x) (* (+ x y) x)) into (* (pow (+ x y) 2) (pow x 2)) 5.273 * [approximate]: Taking taylor expansion of (* (pow (+ x y) 2) (pow x 2)) in (x y) around 0 5.273 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow x 2)) in y 5.273 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 5.273 * [taylor]: Taking taylor expansion of (+ x y) in y 5.273 * [taylor]: Taking taylor expansion of x in y 5.273 * [backup-simplify]: Simplify x into x 5.273 * [taylor]: Taking taylor expansion of y in y 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.273 * [backup-simplify]: Simplify (+ x 0) into x 5.273 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.273 * [taylor]: Taking taylor expansion of x in y 5.273 * [backup-simplify]: Simplify x into x 5.273 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow x 2)) in x 5.273 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 5.273 * [taylor]: Taking taylor expansion of (+ x y) in x 5.273 * [taylor]: Taking taylor expansion of x in x 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.273 * [taylor]: Taking taylor expansion of y in x 5.273 * [backup-simplify]: Simplify y into y 5.273 * [backup-simplify]: Simplify (+ 0 y) into y 5.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.273 * [taylor]: Taking taylor expansion of x in x 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.274 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (pow x 2)) in x 5.274 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 5.274 * [taylor]: Taking taylor expansion of (+ x y) in x 5.274 * [taylor]: Taking taylor expansion of x in x 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 1 into 1 5.274 * [taylor]: Taking taylor expansion of y in x 5.274 * [backup-simplify]: Simplify y into y 5.274 * [backup-simplify]: Simplify (+ 0 y) into y 5.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.274 * [taylor]: Taking taylor expansion of x in x 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 1 into 1 5.274 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.275 * [backup-simplify]: Simplify (* 1 1) into 1 5.275 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 5.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.275 * [taylor]: Taking taylor expansion of y in y 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 1 into 1 5.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.276 * [backup-simplify]: Simplify (+ 1 0) into 1 5.276 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 5.276 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* (* 2 y) 1)) into (* 2 y) 5.276 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.276 * [taylor]: Taking taylor expansion of 2 in y 5.277 * [backup-simplify]: Simplify 2 into 2 5.277 * [taylor]: Taking taylor expansion of y in y 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 1 into 1 5.277 * [backup-simplify]: Simplify (* 2 0) into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.278 * [backup-simplify]: Simplify (+ 0 0) into 0 5.279 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 5.280 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* (* 2 y) 0) (* 1 1))) into 1 5.280 * [taylor]: Taking taylor expansion of 1 in y 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.280 * [backup-simplify]: Simplify 2 into 2 5.281 * [backup-simplify]: Simplify (* 1 1) into 1 5.281 * [backup-simplify]: Simplify 1 into 1 5.282 * [backup-simplify]: Simplify (+ (* 1 (pow (* y x) 2)) (+ (* 2 (* y (pow x 3))) (* 1 (pow (* 1 x) 4)))) into (+ (* 2 (* (pow x 3) y)) (+ (* (pow x 2) (pow y 2)) (pow x 4))) 5.283 * [backup-simplify]: Simplify (* (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) 5.283 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) in (x y) around 0 5.283 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) in y 5.283 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 5.283 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.283 * [taylor]: Taking taylor expansion of x in y 5.283 * [backup-simplify]: Simplify x into x 5.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.283 * [taylor]: Taking taylor expansion of y in y 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify 1 into 1 5.284 * [backup-simplify]: Simplify (/ 1 1) into 1 5.284 * [backup-simplify]: Simplify (+ 0 1) into 1 5.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.284 * [taylor]: Taking taylor expansion of x in y 5.284 * [backup-simplify]: Simplify x into x 5.284 * [backup-simplify]: Simplify (* 1 1) into 1 5.285 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.285 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.285 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) in x 5.285 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 5.285 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.285 * [taylor]: Taking taylor expansion of x in x 5.285 * [backup-simplify]: Simplify 0 into 0 5.285 * [backup-simplify]: Simplify 1 into 1 5.285 * [backup-simplify]: Simplify (/ 1 1) into 1 5.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.285 * [taylor]: Taking taylor expansion of y in x 5.285 * [backup-simplify]: Simplify y into y 5.286 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.286 * [backup-simplify]: Simplify (+ 1 0) into 1 5.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.286 * [taylor]: Taking taylor expansion of x in x 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [backup-simplify]: Simplify (* 1 1) into 1 5.287 * [backup-simplify]: Simplify (* 1 1) into 1 5.287 * [backup-simplify]: Simplify (/ 1 1) into 1 5.287 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) in x 5.287 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 5.287 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.287 * [taylor]: Taking taylor expansion of x in x 5.287 * [backup-simplify]: Simplify 0 into 0 5.287 * [backup-simplify]: Simplify 1 into 1 5.288 * [backup-simplify]: Simplify (/ 1 1) into 1 5.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.288 * [taylor]: Taking taylor expansion of y in x 5.288 * [backup-simplify]: Simplify y into y 5.288 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.288 * [backup-simplify]: Simplify (+ 1 0) into 1 5.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.288 * [taylor]: Taking taylor expansion of x in x 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 1 into 1 5.289 * [backup-simplify]: Simplify (* 1 1) into 1 5.289 * [backup-simplify]: Simplify (* 1 1) into 1 5.289 * [backup-simplify]: Simplify (/ 1 1) into 1 5.290 * [taylor]: Taking taylor expansion of 1 in y 5.290 * [backup-simplify]: Simplify 1 into 1 5.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.291 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.291 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 5.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.292 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 5.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.292 * [taylor]: Taking taylor expansion of 2 in y 5.292 * [backup-simplify]: Simplify 2 into 2 5.292 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.292 * [taylor]: Taking taylor expansion of y in y 5.292 * [backup-simplify]: Simplify 0 into 0 5.292 * [backup-simplify]: Simplify 1 into 1 5.293 * [backup-simplify]: Simplify (/ 1 1) into 1 5.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.294 * [backup-simplify]: Simplify (+ 0 0) into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 5.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.297 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into (/ 1 (pow y 2)) 5.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.298 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.298 * [taylor]: Taking taylor expansion of y in y 5.298 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify 1 into 1 5.298 * [backup-simplify]: Simplify (* 1 1) into 1 5.298 * [backup-simplify]: Simplify (/ 1 1) into 1 5.298 * [backup-simplify]: Simplify 1 into 1 5.299 * [backup-simplify]: Simplify (* 2 1) into 2 5.299 * [backup-simplify]: Simplify 2 into 2 5.299 * [backup-simplify]: Simplify 1 into 1 5.300 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4)) (+ (* 2 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -3))) (* 1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 2)))) into (+ (* 2 (* (pow x 3) y)) (+ (* (pow x 2) (pow y 2)) (pow x 4))) 5.300 * [backup-simplify]: Simplify (* (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) 5.300 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) in (x y) around 0 5.300 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) in y 5.300 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in y 5.300 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.300 * [taylor]: Taking taylor expansion of x in y 5.301 * [backup-simplify]: Simplify x into x 5.301 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.301 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.301 * [taylor]: Taking taylor expansion of y in y 5.301 * [backup-simplify]: Simplify 0 into 0 5.301 * [backup-simplify]: Simplify 1 into 1 5.301 * [backup-simplify]: Simplify (/ 1 1) into 1 5.302 * [backup-simplify]: Simplify (+ 0 1) into 1 5.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.302 * [taylor]: Taking taylor expansion of x in y 5.302 * [backup-simplify]: Simplify x into x 5.302 * [backup-simplify]: Simplify (* 1 1) into 1 5.302 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.302 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.302 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) in x 5.302 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 5.302 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.303 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.303 * [taylor]: Taking taylor expansion of x in x 5.303 * [backup-simplify]: Simplify 0 into 0 5.303 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (/ 1 1) into 1 5.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.303 * [taylor]: Taking taylor expansion of y in x 5.303 * [backup-simplify]: Simplify y into y 5.303 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.304 * [backup-simplify]: Simplify (+ 1 0) into 1 5.304 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.304 * [taylor]: Taking taylor expansion of x in x 5.304 * [backup-simplify]: Simplify 0 into 0 5.304 * [backup-simplify]: Simplify 1 into 1 5.304 * [backup-simplify]: Simplify (* 1 1) into 1 5.304 * [backup-simplify]: Simplify (* 1 1) into 1 5.305 * [backup-simplify]: Simplify (/ 1 1) into 1 5.305 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 2) (pow x 2)) in x 5.305 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 2) in x 5.305 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.305 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.305 * [taylor]: Taking taylor expansion of x in x 5.305 * [backup-simplify]: Simplify 0 into 0 5.305 * [backup-simplify]: Simplify 1 into 1 5.305 * [backup-simplify]: Simplify (/ 1 1) into 1 5.305 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.305 * [taylor]: Taking taylor expansion of y in x 5.305 * [backup-simplify]: Simplify y into y 5.305 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.306 * [backup-simplify]: Simplify (+ 1 0) into 1 5.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.306 * [taylor]: Taking taylor expansion of x in x 5.306 * [backup-simplify]: Simplify 0 into 0 5.306 * [backup-simplify]: Simplify 1 into 1 5.306 * [backup-simplify]: Simplify (* 1 1) into 1 5.307 * [backup-simplify]: Simplify (* 1 1) into 1 5.307 * [backup-simplify]: Simplify (/ 1 1) into 1 5.307 * [taylor]: Taking taylor expansion of 1 in y 5.307 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.308 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.308 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 5.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.310 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 5.310 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.310 * [taylor]: Taking taylor expansion of 2 in y 5.310 * [backup-simplify]: Simplify 2 into 2 5.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.310 * [taylor]: Taking taylor expansion of y in y 5.310 * [backup-simplify]: Simplify 0 into 0 5.310 * [backup-simplify]: Simplify 1 into 1 5.310 * [backup-simplify]: Simplify (/ 1 1) into 1 5.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.312 * [backup-simplify]: Simplify (+ 0 0) into 0 5.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 5.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.315 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into (/ 1 (pow y 2)) 5.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.315 * [taylor]: Taking taylor expansion of y in y 5.315 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify 1 into 1 5.315 * [backup-simplify]: Simplify (* 1 1) into 1 5.316 * [backup-simplify]: Simplify (/ 1 1) into 1 5.316 * [backup-simplify]: Simplify 1 into 1 5.316 * [backup-simplify]: Simplify (* 2 1) into 2 5.316 * [backup-simplify]: Simplify 2 into 2 5.316 * [backup-simplify]: Simplify 1 into 1 5.317 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -3))) (* 1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 2)))) into (+ (* 2 (* (pow x 3) y)) (+ (* (pow x 2) (pow y 2)) (pow x 4))) 5.317 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.318 * [backup-simplify]: Simplify (* (* (* (+ x y) x) (* (+ x y) x)) (* (+ x y) x)) into (* (pow (+ x y) 3) (pow x 3)) 5.318 * [approximate]: Taking taylor expansion of (* (pow (+ x y) 3) (pow x 3)) in (x y) around 0 5.318 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 3) (pow x 3)) in y 5.318 * [taylor]: Taking taylor expansion of (pow (+ x y) 3) in y 5.318 * [taylor]: Taking taylor expansion of (+ x y) in y 5.318 * [taylor]: Taking taylor expansion of x in y 5.318 * [backup-simplify]: Simplify x into x 5.318 * [taylor]: Taking taylor expansion of y in y 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 1 into 1 5.318 * [backup-simplify]: Simplify (+ x 0) into x 5.318 * [taylor]: Taking taylor expansion of (pow x 3) in y 5.318 * [taylor]: Taking taylor expansion of x in y 5.318 * [backup-simplify]: Simplify x into x 5.318 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 3) (pow x 3)) in x 5.318 * [taylor]: Taking taylor expansion of (pow (+ x y) 3) in x 5.318 * [taylor]: Taking taylor expansion of (+ x y) in x 5.318 * [taylor]: Taking taylor expansion of x in x 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 1 into 1 5.318 * [taylor]: Taking taylor expansion of y in x 5.318 * [backup-simplify]: Simplify y into y 5.318 * [backup-simplify]: Simplify (+ 0 y) into y 5.318 * [taylor]: Taking taylor expansion of (pow x 3) in x 5.318 * [taylor]: Taking taylor expansion of x in x 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 1 into 1 5.318 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 3) (pow x 3)) in x 5.319 * [taylor]: Taking taylor expansion of (pow (+ x y) 3) in x 5.319 * [taylor]: Taking taylor expansion of (+ x y) in x 5.319 * [taylor]: Taking taylor expansion of x in x 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify 1 into 1 5.319 * [taylor]: Taking taylor expansion of y in x 5.319 * [backup-simplify]: Simplify y into y 5.319 * [backup-simplify]: Simplify (+ 0 y) into y 5.319 * [taylor]: Taking taylor expansion of (pow x 3) in x 5.319 * [taylor]: Taking taylor expansion of x in x 5.319 * [backup-simplify]: Simplify 0 into 0 5.319 * [backup-simplify]: Simplify 1 into 1 5.319 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.319 * [backup-simplify]: Simplify (* y (pow y 2)) into (pow y 3) 5.320 * [backup-simplify]: Simplify (* 1 1) into 1 5.320 * [backup-simplify]: Simplify (* 1 1) into 1 5.320 * [backup-simplify]: Simplify (* (pow y 3) 1) into (pow y 3) 5.320 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.320 * [taylor]: Taking taylor expansion of y in y 5.320 * [backup-simplify]: Simplify 0 into 0 5.320 * [backup-simplify]: Simplify 1 into 1 5.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.322 * [backup-simplify]: Simplify (+ 1 0) into 1 5.322 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 5.323 * [backup-simplify]: Simplify (+ (* y (* 2 y)) (* 1 (pow y 2))) into (* 3 (pow y 2)) 5.323 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (* (* 3 (pow y 2)) 1)) into (* 3 (pow y 2)) 5.323 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 5.323 * [taylor]: Taking taylor expansion of 3 in y 5.323 * [backup-simplify]: Simplify 3 into 3 5.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.323 * [taylor]: Taking taylor expansion of y in y 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 1 into 1 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.325 * [backup-simplify]: Simplify (+ 0 0) into 0 5.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 5.326 * [backup-simplify]: Simplify (+ (* y 1) (+ (* 1 (* 2 y)) (* 0 (pow y 2)))) into (* 3 y) 5.326 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (+ (* (* 3 (pow y 2)) 0) (* (* 3 y) 1))) into (* 3 y) 5.326 * [taylor]: Taking taylor expansion of (* 3 y) in y 5.326 * [taylor]: Taking taylor expansion of 3 in y 5.326 * [backup-simplify]: Simplify 3 into 3 5.326 * [taylor]: Taking taylor expansion of y in y 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify 1 into 1 5.327 * [backup-simplify]: Simplify (* 3 0) into 0 5.327 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.330 * [backup-simplify]: Simplify (+ 0 0) into 0 5.330 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 5.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (+ (* 0 (* 2 y)) (* 0 (pow y 2))))) into 1 5.332 * [backup-simplify]: Simplify (+ (* (pow y 3) 0) (+ (* (* 3 (pow y 2)) 0) (+ (* (* 3 y) 0) (* 1 1)))) into 1 5.332 * [taylor]: Taking taylor expansion of 1 in y 5.332 * [backup-simplify]: Simplify 1 into 1 5.332 * [backup-simplify]: Simplify 1 into 1 5.333 * [backup-simplify]: Simplify (+ (* 3 1) (* 0 0)) into 3 5.333 * [backup-simplify]: Simplify 3 into 3 5.333 * [backup-simplify]: Simplify (* 1 1) into 1 5.334 * [backup-simplify]: Simplify (* 3 1) into 3 5.334 * [backup-simplify]: Simplify 3 into 3 5.335 * [backup-simplify]: Simplify (+ (* 3 (pow (* y (pow x 2)) 2)) (+ (* 3 (* y (pow x 5))) (* 1 (pow (* 1 x) 6)))) into (+ (* 3 (* (pow x 5) y)) (+ (pow x 6) (* 3 (* (pow x 4) (pow y 2))))) 5.335 * [backup-simplify]: Simplify (* (* (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) (* (+ (/ 1 x) (/ 1 y)) (/ 1 x))) (* (+ (/ 1 x) (/ 1 y)) (/ 1 x))) into (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) 5.335 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) in (x y) around 0 5.335 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) in y 5.335 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 3) in y 5.336 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.336 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.336 * [taylor]: Taking taylor expansion of x in y 5.336 * [backup-simplify]: Simplify x into x 5.336 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.336 * [taylor]: Taking taylor expansion of y in y 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.337 * [backup-simplify]: Simplify (/ 1 1) into 1 5.337 * [backup-simplify]: Simplify (+ 0 1) into 1 5.337 * [taylor]: Taking taylor expansion of (pow x 3) in y 5.337 * [taylor]: Taking taylor expansion of x in y 5.337 * [backup-simplify]: Simplify x into x 5.337 * [backup-simplify]: Simplify (* 1 1) into 1 5.338 * [backup-simplify]: Simplify (* 1 1) into 1 5.338 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.338 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 5.338 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3)) 5.338 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) in x 5.338 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 3) in x 5.338 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.338 * [taylor]: Taking taylor expansion of x in x 5.338 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify 1 into 1 5.339 * [backup-simplify]: Simplify (/ 1 1) into 1 5.339 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.339 * [taylor]: Taking taylor expansion of y in x 5.339 * [backup-simplify]: Simplify y into y 5.339 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.339 * [backup-simplify]: Simplify (+ 1 0) into 1 5.339 * [taylor]: Taking taylor expansion of (pow x 3) in x 5.339 * [taylor]: Taking taylor expansion of x in x 5.340 * [backup-simplify]: Simplify 0 into 0 5.340 * [backup-simplify]: Simplify 1 into 1 5.340 * [backup-simplify]: Simplify (* 1 1) into 1 5.340 * [backup-simplify]: Simplify (* 1 1) into 1 5.341 * [backup-simplify]: Simplify (* 1 1) into 1 5.341 * [backup-simplify]: Simplify (* 1 1) into 1 5.341 * [backup-simplify]: Simplify (/ 1 1) into 1 5.341 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) in x 5.341 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 3) in x 5.341 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.341 * [taylor]: Taking taylor expansion of x in x 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (/ 1 1) into 1 5.342 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.342 * [taylor]: Taking taylor expansion of y in x 5.342 * [backup-simplify]: Simplify y into y 5.342 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.342 * [backup-simplify]: Simplify (+ 1 0) into 1 5.342 * [taylor]: Taking taylor expansion of (pow x 3) in x 5.342 * [taylor]: Taking taylor expansion of x in x 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.343 * [backup-simplify]: Simplify (* 1 1) into 1 5.343 * [backup-simplify]: Simplify (* 1 1) into 1 5.343 * [backup-simplify]: Simplify (* 1 1) into 1 5.348 * [backup-simplify]: Simplify (* 1 1) into 1 5.349 * [backup-simplify]: Simplify (/ 1 1) into 1 5.349 * [taylor]: Taking taylor expansion of 1 in y 5.349 * [backup-simplify]: Simplify 1 into 1 5.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.350 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.350 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 5.350 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (* (/ 1 y) 1)) into (* 3 (/ 1 y)) 5.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.352 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 3 (/ 1 y)) 5.352 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 5.352 * [taylor]: Taking taylor expansion of 3 in y 5.352 * [backup-simplify]: Simplify 3 into 3 5.352 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.352 * [taylor]: Taking taylor expansion of y in y 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.353 * [backup-simplify]: Simplify (/ 1 1) into 1 5.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.354 * [backup-simplify]: Simplify (+ 0 0) into 0 5.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 5.356 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (/ 1 y) (* 2 (/ 1 y))) (* 0 1))) into (* 3 (/ 1 (pow y 2))) 5.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.359 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* (* 3 (/ 1 y)) (/ 0 1)))) into (* 3 (/ 1 (pow y 2))) 5.359 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.359 * [taylor]: Taking taylor expansion of 3 in y 5.359 * [backup-simplify]: Simplify 3 into 3 5.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.359 * [taylor]: Taking taylor expansion of y in y 5.359 * [backup-simplify]: Simplify 0 into 0 5.359 * [backup-simplify]: Simplify 1 into 1 5.360 * [backup-simplify]: Simplify (* 1 1) into 1 5.360 * [backup-simplify]: Simplify (/ 1 1) into 1 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.362 * [backup-simplify]: Simplify (+ 0 0) into 0 5.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 5.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 (pow y 2))) (+ (* 0 (* 2 (/ 1 y))) (* 0 1)))) into (/ 1 (pow y 3)) 5.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.368 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 3)) 1) (+ (* 1 (/ 0 1)) (* (* 3 (/ 1 y)) (/ 0 1)) (* (* 3 (/ 1 (pow y 2))) (/ 0 1)))) into (/ 1 (pow y 3)) 5.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 5.368 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.368 * [taylor]: Taking taylor expansion of y in y 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.368 * [backup-simplify]: Simplify (* 1 1) into 1 5.369 * [backup-simplify]: Simplify (* 1 1) into 1 5.369 * [backup-simplify]: Simplify (/ 1 1) into 1 5.369 * [backup-simplify]: Simplify 1 into 1 5.370 * [backup-simplify]: Simplify (* 3 1) into 3 5.370 * [backup-simplify]: Simplify 3 into 3 5.370 * [backup-simplify]: Simplify (* 3 1) into 3 5.370 * [backup-simplify]: Simplify 3 into 3 5.371 * [backup-simplify]: Simplify (+ (* 3 (* (/ 1 (/ 1 y)) (pow (/ 1 x) -5))) (+ (* 3 (pow (* (/ 1 (/ 1 y)) (pow (/ 1 x) -2)) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))) 3)))) into (+ (* (pow x 3) (pow y 3)) (+ (* 3 (* (pow x 5) y)) (* 3 (* (pow x 4) (pow y 2))))) 5.372 * [backup-simplify]: Simplify (* (* (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x)))) into (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) 5.372 * [approximate]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) in (x y) around 0 5.372 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) in y 5.372 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 3) in y 5.372 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.372 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.372 * [taylor]: Taking taylor expansion of x in y 5.372 * [backup-simplify]: Simplify x into x 5.372 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.372 * [taylor]: Taking taylor expansion of y in y 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.373 * [backup-simplify]: Simplify (/ 1 1) into 1 5.373 * [backup-simplify]: Simplify (+ 0 1) into 1 5.373 * [taylor]: Taking taylor expansion of (pow x 3) in y 5.373 * [taylor]: Taking taylor expansion of x in y 5.373 * [backup-simplify]: Simplify x into x 5.374 * [backup-simplify]: Simplify (* 1 1) into 1 5.374 * [backup-simplify]: Simplify (* 1 1) into 1 5.374 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.374 * [backup-simplify]: Simplify (* x (pow x 2)) into (pow x 3) 5.375 * [backup-simplify]: Simplify (/ 1 (pow x 3)) into (/ 1 (pow x 3)) 5.375 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) in x 5.375 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 3) in x 5.375 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.375 * [taylor]: Taking taylor expansion of x in x 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [backup-simplify]: Simplify (/ 1 1) into 1 5.375 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.375 * [taylor]: Taking taylor expansion of y in x 5.375 * [backup-simplify]: Simplify y into y 5.375 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.376 * [backup-simplify]: Simplify (+ 1 0) into 1 5.376 * [taylor]: Taking taylor expansion of (pow x 3) in x 5.376 * [taylor]: Taking taylor expansion of x in x 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify 1 into 1 5.376 * [backup-simplify]: Simplify (* 1 1) into 1 5.377 * [backup-simplify]: Simplify (* 1 1) into 1 5.377 * [backup-simplify]: Simplify (* 1 1) into 1 5.377 * [backup-simplify]: Simplify (* 1 1) into 1 5.378 * [backup-simplify]: Simplify (/ 1 1) into 1 5.378 * [taylor]: Taking taylor expansion of (/ (pow (+ (/ 1 x) (/ 1 y)) 3) (pow x 3)) in x 5.378 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 x) (/ 1 y)) 3) in x 5.378 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.378 * [taylor]: Taking taylor expansion of x in x 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (/ 1 1) into 1 5.379 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.379 * [taylor]: Taking taylor expansion of y in x 5.379 * [backup-simplify]: Simplify y into y 5.379 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.379 * [backup-simplify]: Simplify (+ 1 0) into 1 5.379 * [taylor]: Taking taylor expansion of (pow x 3) in x 5.379 * [taylor]: Taking taylor expansion of x in x 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.380 * [backup-simplify]: Simplify (* 1 1) into 1 5.380 * [backup-simplify]: Simplify (* 1 1) into 1 5.380 * [backup-simplify]: Simplify (* 1 1) into 1 5.381 * [backup-simplify]: Simplify (* 1 1) into 1 5.381 * [backup-simplify]: Simplify (/ 1 1) into 1 5.381 * [taylor]: Taking taylor expansion of 1 in y 5.381 * [backup-simplify]: Simplify 1 into 1 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.382 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 5.382 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (* (/ 1 y) 1)) into (* 3 (/ 1 y)) 5.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.385 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 3 (/ 1 y)) 5.385 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 5.385 * [taylor]: Taking taylor expansion of 3 in y 5.385 * [backup-simplify]: Simplify 3 into 3 5.385 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.385 * [taylor]: Taking taylor expansion of y in y 5.385 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ 1 1) into 1 5.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.388 * [backup-simplify]: Simplify (+ 0 0) into 0 5.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 5.389 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (/ 1 y) (* 2 (/ 1 y))) (* 0 1))) into (* 3 (/ 1 (pow y 2))) 5.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.393 * [backup-simplify]: Simplify (- (/ (* 3 (/ 1 (pow y 2))) 1) (+ (* 1 (/ 0 1)) (* (* 3 (/ 1 y)) (/ 0 1)))) into (* 3 (/ 1 (pow y 2))) 5.393 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.393 * [taylor]: Taking taylor expansion of 3 in y 5.393 * [backup-simplify]: Simplify 3 into 3 5.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.394 * [taylor]: Taking taylor expansion of y in y 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [backup-simplify]: Simplify (* 1 1) into 1 5.394 * [backup-simplify]: Simplify (/ 1 1) into 1 5.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.396 * [backup-simplify]: Simplify (+ 0 0) into 0 5.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 5.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 (pow y 2))) (+ (* 0 (* 2 (/ 1 y))) (* 0 1)))) into (/ 1 (pow y 3)) 5.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 3)) 1) (+ (* 1 (/ 0 1)) (* (* 3 (/ 1 y)) (/ 0 1)) (* (* 3 (/ 1 (pow y 2))) (/ 0 1)))) into (/ 1 (pow y 3)) 5.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 5.403 * [taylor]: Taking taylor expansion of (pow y 3) in y 5.403 * [taylor]: Taking taylor expansion of y in y 5.403 * [backup-simplify]: Simplify 0 into 0 5.403 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (* 1 1) into 1 5.404 * [backup-simplify]: Simplify (* 1 1) into 1 5.404 * [backup-simplify]: Simplify (/ 1 1) into 1 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [backup-simplify]: Simplify (* 3 1) into 3 5.405 * [backup-simplify]: Simplify 3 into 3 5.405 * [backup-simplify]: Simplify (* 3 1) into 3 5.405 * [backup-simplify]: Simplify 3 into 3 5.406 * [backup-simplify]: Simplify (+ (* 3 (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -5))) (+ (* 3 (pow (* (/ 1 (/ 1 (- y))) (pow (/ 1 (- x)) -2)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))) 3)))) into (+ (* (pow x 3) (pow y 3)) (+ (* 3 (* (pow x 5) y)) (* 3 (* (pow x 4) (pow y 2))))) 5.406 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 5.407 * [backup-simplify]: Simplify (* (+ x y) x) into (* (+ x y) x) 5.407 * [approximate]: Taking taylor expansion of (* (+ x y) x) in (x y) around 0 5.407 * [taylor]: Taking taylor expansion of (* (+ x y) x) in y 5.407 * [taylor]: Taking taylor expansion of (+ x y) in y 5.407 * [taylor]: Taking taylor expansion of x in y 5.407 * [backup-simplify]: Simplify x into x 5.407 * [taylor]: Taking taylor expansion of y in y 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [taylor]: Taking taylor expansion of x in y 5.407 * [backup-simplify]: Simplify x into x 5.407 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 5.407 * [taylor]: Taking taylor expansion of (+ x y) in x 5.407 * [taylor]: Taking taylor expansion of x in x 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [taylor]: Taking taylor expansion of y in x 5.407 * [backup-simplify]: Simplify y into y 5.407 * [taylor]: Taking taylor expansion of x in x 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 5.407 * [taylor]: Taking taylor expansion of (+ x y) in x 5.407 * [taylor]: Taking taylor expansion of x in x 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [taylor]: Taking taylor expansion of y in x 5.407 * [backup-simplify]: Simplify y into y 5.407 * [taylor]: Taking taylor expansion of x in x 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (+ 0 y) into y 5.408 * [backup-simplify]: Simplify (* y 0) into 0 5.408 * [taylor]: Taking taylor expansion of 0 in y 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify (+ 1 0) into 1 5.409 * [backup-simplify]: Simplify (+ (* y 1) (* 1 0)) into y 5.409 * [taylor]: Taking taylor expansion of y in y 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (+ 0 0) into 0 5.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 0))) into 1 5.410 * [taylor]: Taking taylor expansion of 1 in y 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify 0 into 0 5.411 * [backup-simplify]: Simplify (+ 0 0) into 0 5.412 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.412 * [taylor]: Taking taylor expansion of 0 in y 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify (+ 0 0) into 0 5.414 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.414 * [taylor]: Taking taylor expansion of 0 in y 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 5.414 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (/ 1 x)) into (/ (+ (/ 1 x) (/ 1 y)) x) 5.414 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 5.414 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.414 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.414 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.414 * [taylor]: Taking taylor expansion of x in y 5.414 * [backup-simplify]: Simplify x into x 5.414 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.415 * [taylor]: Taking taylor expansion of y in y 5.415 * [backup-simplify]: Simplify 0 into 0 5.415 * [backup-simplify]: Simplify 1 into 1 5.415 * [backup-simplify]: Simplify (/ 1 1) into 1 5.415 * [taylor]: Taking taylor expansion of x in y 5.415 * [backup-simplify]: Simplify x into x 5.416 * [backup-simplify]: Simplify (+ 0 1) into 1 5.416 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.416 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.416 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.416 * [taylor]: Taking taylor expansion of x in x 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.416 * [taylor]: Taking taylor expansion of y in x 5.416 * [backup-simplify]: Simplify y into y 5.416 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.417 * [taylor]: Taking taylor expansion of x in x 5.417 * [backup-simplify]: Simplify 0 into 0 5.417 * [backup-simplify]: Simplify 1 into 1 5.417 * [backup-simplify]: Simplify (+ 1 0) into 1 5.417 * [backup-simplify]: Simplify (/ 1 1) into 1 5.417 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.417 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.417 * [taylor]: Taking taylor expansion of x in x 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 1 into 1 5.418 * [backup-simplify]: Simplify (/ 1 1) into 1 5.418 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.418 * [taylor]: Taking taylor expansion of y in x 5.418 * [backup-simplify]: Simplify y into y 5.418 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.418 * [taylor]: Taking taylor expansion of x in x 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (+ 1 0) into 1 5.419 * [backup-simplify]: Simplify (/ 1 1) into 1 5.419 * [taylor]: Taking taylor expansion of 1 in y 5.419 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.421 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.421 * [taylor]: Taking taylor expansion of y in y 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (/ 1 1) into 1 5.421 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify 1 into 1 5.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.423 * [backup-simplify]: Simplify (+ 0 0) into 0 5.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 5.425 * [taylor]: Taking taylor expansion of 0 in y 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.429 * [taylor]: Taking taylor expansion of 0 in y 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.429 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.431 * [backup-simplify]: Simplify (+ 0 0) into 0 5.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.433 * [taylor]: Taking taylor expansion of 0 in y 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 5.434 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) into (/ (+ (/ 1 x) (/ 1 y)) x) 5.434 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in (x y) around 0 5.434 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 5.434 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.434 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.434 * [taylor]: Taking taylor expansion of x in y 5.434 * [backup-simplify]: Simplify x into x 5.434 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.434 * [taylor]: Taking taylor expansion of y in y 5.434 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify 1 into 1 5.435 * [backup-simplify]: Simplify (/ 1 1) into 1 5.435 * [taylor]: Taking taylor expansion of x in y 5.435 * [backup-simplify]: Simplify x into x 5.435 * [backup-simplify]: Simplify (+ 0 1) into 1 5.435 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.435 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.435 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.435 * [taylor]: Taking taylor expansion of x in x 5.435 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (/ 1 1) into 1 5.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.436 * [taylor]: Taking taylor expansion of y in x 5.436 * [backup-simplify]: Simplify y into y 5.436 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.436 * [taylor]: Taking taylor expansion of x in x 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (+ 1 0) into 1 5.437 * [backup-simplify]: Simplify (/ 1 1) into 1 5.437 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 5.437 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.437 * [taylor]: Taking taylor expansion of x in x 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (/ 1 1) into 1 5.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.437 * [taylor]: Taking taylor expansion of y in x 5.437 * [backup-simplify]: Simplify y into y 5.437 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.437 * [taylor]: Taking taylor expansion of x in x 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.438 * [backup-simplify]: Simplify (+ 1 0) into 1 5.438 * [backup-simplify]: Simplify (/ 1 1) into 1 5.438 * [taylor]: Taking taylor expansion of 1 in y 5.438 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 5.440 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 5.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.440 * [taylor]: Taking taylor expansion of y in y 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify (/ 1 1) into 1 5.440 * [backup-simplify]: Simplify 1 into 1 5.440 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.442 * [backup-simplify]: Simplify (+ 0 0) into 0 5.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 5.443 * [taylor]: Taking taylor expansion of 0 in y 5.443 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.446 * [backup-simplify]: Simplify (+ 0 0) into 0 5.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.448 * [taylor]: Taking taylor expansion of 0 in y 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * [backup-simplify]: Simplify 0 into 0 5.448 * 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0 inf + 303653 7.783 * * [simplify]: Extracting #7: cost 0 inf + 303528 7.874 * [simplify]: Simplified to: (expm1 (cbrt (* (* x (+ y x)) (* (* x (+ y x)) (* x (+ y x)))))) (log1p (cbrt (* (* x (+ y x)) (* (* x (+ y x)) (* x (+ y x)))))) (log (cbrt (* (* x (+ y x)) (* (* x (+ y x)) (* x (+ y x)))))) (exp (cbrt (* (* x (+ y x)) (* (* x (+ y x)) (* x (+ y x)))))) (cbrt (* (* x (+ y x)) (* x (+ y x)))) (cbrt (* x (+ y x))) (cbrt (* (* (* (fma x (* x x) (* y (* y y))) (fma x (* x x) (* y (* y y)))) (* x x)) (* (fma x (* x x) (* y (* y y))) x))) (cbrt (* (fma x x (* y (- y x))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))))) (cbrt (* (* (- (* x x) (* y y)) x) (* (* (fma x (* x x) (* y (* y y))) (fma x (* x x) (* y (* y y)))) (* x x)))) (cbrt (* (fma x x (* y (- y x))) (* (fma x x (* y (- y x))) (- x y)))) (cbrt (* (* (- (* x x) (* y y)) x) (* (* (fma x (* x x) (* y (* y y))) (fma x (* x x) (* y (* y y)))) (* x x)))) (cbrt (* (fma x x (* y (- y x))) (* (fma x x (* y (- y x))) (- x y)))) 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x) (* x (sqrt (+ y x))) (* x (+ y x)) (* x (+ y x)) (* x (fma x (* x x) (* y (* y y)))) (* (- (* x x) (* y y)) x) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (fma y (* (* 2 x) (* x x)) (fma y (* y (* x x)) (* (* x x) (* x x)))) (fma y (* (* 2 x) (* x x)) (fma y (* y (* x x)) (* (* x x) (* x x)))) (fma y (* (* 2 x) (* x x)) (fma y (* y (* x x)) (* (* x x) (* x x)))) (fma (fma (pow x 5) y (* (* (* x x) y) (* (* x x) y))) 3 (* (* x x) (* (* x x) (* x x)))) (fma 3 (fma (pow x 5) y (* (* (* x x) y) (* (* x x) y))) (* (* y (* y y)) (* (* x x) x))) (fma 3 (fma (pow x 5) y (* (* (* x x) y) (* (* x x) y))) (* (* y (* y y)) (* (* x x) x))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 7.904 * * * [progress]: adding candidates to table 8.644 * [progress]: [Phase 3 of 3] Extracting. 8.644 * * [regime]: Finding splitpoints for: (# # # #) 8.644 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 8.644 * * * * [regimes]: Trying to branch on (+ x y) from (# # # #) 8.686 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# # # #) 8.741 * * * * [regimes]: Trying to branch on y from (# # # #) 8.792 * * * * [regimes]: Trying to branch on x from (# # # #) 8.849 * * * [regime]: Found split indices: #