24.868 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.035 * * [simplify]: Extracting # 0 : cost 0 0.035 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: Extracting # 3 : cost 0 0.035 * * [simplify]: Extracting # 4 : cost 0 0.035 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 2 : 27 enodes (cost 7 ) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: Extracting # 1 : cost 0 0.053 * * [simplify]: Extracting # 2 : cost 0 0.053 * * [simplify]: iteration 3 : 65 enodes (cost 7 ) 0.088 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: Extracting # 1 : cost 0 0.089 * * [simplify]: Extracting # 2 : cost 0 0.089 * * [simplify]: Extracting # 3 : cost 0 0.089 * * [simplify]: iteration 4 : 150 enodes (cost 7 ) 0.150 * * [simplify]: Extracting # 0 : cost 0 0.150 * * [simplify]: Extracting # 1 : cost 0 0.151 * * [simplify]: Extracting # 2 : cost 0 0.152 * * [simplify]: iteration 5 : 273 enodes (cost 7 ) 0.218 * * [simplify]: Extracting # 0 : cost 0 0.219 * * [simplify]: Extracting # 1 : cost 0 0.219 * * [simplify]: iteration 6 : 323 enodes (cost 7 ) 0.265 * * [simplify]: Extracting # 0 : cost 0 0.265 * * [simplify]: Extracting # 1 : cost 0 0.266 * * [simplify]: Extracting # 2 : cost 0 0.266 * * [simplify]: iteration 7 : 340 enodes (cost 7 ) 0.315 * * [simplify]: Extracting # 0 : cost 0 0.316 * * [simplify]: iteration 8 : 342 enodes (cost 7 ) 0.358 * * [simplify]: Extracting # 0 : cost 0 0.358 * * [simplify]: iteration done: 342 enodes (cost 7 ) 0.358 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.359 * * [progress]: iteration 1 / 4 0.359 * * * [progress]: picking best candidate 0.360 * * * * [pick]: Picked # 0.360 * * * [progress]: localizing error 0.365 * * * [progress]: generating rewritten candidates 0.365 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.412 * * * [progress]: generating series expansions 0.413 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.413 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.413 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.413 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.413 * [taylor]: Taking taylor expansion of (+ x y) in y 0.413 * [taylor]: Taking taylor expansion of x in y 0.413 * [backup-simplify]: Simplify x into x 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ x 0) into x 0.413 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.413 * [taylor]: Taking taylor expansion of (+ x y) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [backup-simplify]: Simplify y into y 0.413 * [backup-simplify]: Simplify (+ 0 y) into y 0.413 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.413 * [taylor]: Taking taylor expansion of (+ x y) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [backup-simplify]: Simplify y into y 0.413 * [backup-simplify]: Simplify (+ 0 y) into y 0.413 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (+ 1 0) into 1 0.414 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.414 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.414 * [taylor]: Taking taylor expansion of 2 in y 0.414 * [backup-simplify]: Simplify 2 into 2 0.414 * [taylor]: Taking taylor expansion of y in y 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 2 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (+ 0 0) into 0 0.416 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.416 * [taylor]: Taking taylor expansion of 1 in y 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify 1 into 1 0.416 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.416 * [backup-simplify]: Simplify 2 into 2 0.417 * [backup-simplify]: Simplify (* 1 1) into 1 0.417 * [backup-simplify]: Simplify 1 into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.417 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.417 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.418 * [backup-simplify]: Simplify 0 into 0 0.418 * [backup-simplify]: Simplify 1 into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [backup-simplify]: Simplify x into x 0.418 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.418 * [backup-simplify]: Simplify (+ 1 0) into 1 0.418 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [backup-simplify]: Simplify y into y 0.418 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (+ 0 1) into 1 0.419 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [backup-simplify]: Simplify y into y 0.419 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (+ 0 1) into 1 0.420 * [backup-simplify]: Simplify (* 1 1) into 1 0.420 * [taylor]: Taking taylor expansion of 1 in y 0.420 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.421 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.421 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.421 * [taylor]: Taking taylor expansion of 2 in y 0.421 * [backup-simplify]: Simplify 2 into 2 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.421 * [taylor]: Taking taylor expansion of y in y 0.421 * [backup-simplify]: Simplify 0 into 0 0.421 * [backup-simplify]: Simplify 1 into 1 0.421 * [backup-simplify]: Simplify (/ 1 1) into 1 0.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.424 * [backup-simplify]: Simplify (/ 1 1) into 1 0.424 * [backup-simplify]: Simplify 1 into 1 0.424 * [backup-simplify]: Simplify (* 2 1) into 2 0.424 * [backup-simplify]: Simplify 2 into 2 0.424 * [backup-simplify]: Simplify 1 into 1 0.425 * [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 x 2) (+ (pow y 2) (* 2 (* x y)))) 0.425 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.425 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.425 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.425 * [backup-simplify]: Simplify (/ 1 1) into 1 0.425 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.425 * [taylor]: Taking taylor expansion of x in y 0.425 * [backup-simplify]: Simplify x into x 0.425 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.426 * [backup-simplify]: Simplify (+ 1 0) into 1 0.426 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [backup-simplify]: Simplify y into y 0.426 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (+ 0 1) into 1 0.427 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [backup-simplify]: Simplify y into y 0.427 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.427 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (/ 1 1) into 1 0.427 * [backup-simplify]: Simplify (+ 0 1) into 1 0.428 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [taylor]: Taking taylor expansion of 1 in y 0.428 * [backup-simplify]: Simplify 1 into 1 0.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.428 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.428 * [taylor]: Taking taylor expansion of 2 in y 0.428 * [backup-simplify]: Simplify 2 into 2 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.429 * [backup-simplify]: Simplify (/ 1 1) into 1 0.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ 0 0) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 2 1) into 2 0.431 * [backup-simplify]: Simplify 2 into 2 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [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 x 2) (+ (pow y 2) (* 2 (* x y)))) 0.432 * * * [progress]: simplifying candidates 0.433 * [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 x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.435 * * [simplify]: Extracting # 0 : cost 0 0.435 * * [simplify]: Extracting # 1 : cost 0 0.435 * * [simplify]: Extracting # 2 : cost 0 0.435 * * [simplify]: Extracting # 3 : cost 0 0.435 * * [simplify]: Extracting # 4 : cost 0 0.435 * * [simplify]: Extracting # 5 : cost 0 0.435 * * [simplify]: Extracting # 6 : cost 0 0.436 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.462 * * [simplify]: Extracting # 0 : cost 0 0.462 * * [simplify]: Extracting # 1 : cost 0 0.463 * * [simplify]: Extracting # 2 : cost 0 0.463 * * [simplify]: Extracting # 3 : cost 0 0.464 * * [simplify]: Extracting # 4 : cost 0 0.464 * * [simplify]: iteration 1 : 232 enodes (cost 465 ) 0.661 * * [simplify]: Extracting # 0 : cost 0 0.664 * * [simplify]: Extracting # 1 : cost 0 0.667 * * [simplify]: Extracting # 2 : cost 0 0.669 * * [simplify]: Extracting # 3 : cost 0 0.671 * * [simplify]: Extracting # 4 : cost 0 0.674 * * [simplify]: iteration 2 : 1742 enodes (cost 416 ) 1.866 * * [simplify]: Extracting # 0 : cost 0 1.878 * * [simplify]: Extracting # 1 : cost 0 1.886 * * [simplify]: Extracting # 2 : cost 0 1.901 * * [simplify]: Extracting # 3 : cost 0 1.908 * * [simplify]: Extracting # 4 : cost 0 1.915 * * [simplify]: iteration done: 5002 enodes (cost 406 ) 1.915 * [simplify]: Simplified to: (expm1 (* (+ x y) (+ x y))) (log1p (* (+ x y) (+ x y))) 2 (* (+ x y) (+ x y)) 2 (* 2 (log (+ x y))) (* 2 (log (+ x y))) (exp (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (pow (+ x y) (* 2 3)) (fabs (+ x y)) (fabs (+ x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (fma x x (* y (- y x))) (fma x x (* y (- y x)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (fma x x (* y (- y x))) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y 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)))) (pow (sqrt (+ x y)) 3) (+ x y) (+ x y) (* (cbrt (+ x y)) (+ x y)) (pow (sqrt (+ x y)) 3) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (fma x x (* y (fma x 2 y))) (fma x x (* y (fma x 2 y))) (fma x x (* y (fma x 2 y))) 1.916 * * * [progress]: adding candidates to table 1.982 * * [progress]: iteration 2 / 4 1.982 * * * [progress]: picking best candidate 1.989 * * * * [pick]: Picked # 1.989 * * * [progress]: localizing error 2.000 * * * [progress]: generating rewritten candidates 2.001 * * * * [progress]: [ 1 / 1 ] rewriting at (2 3) 2.014 * * * [progress]: generating series expansions 2.014 * * * * [progress]: [ 1 / 1 ] generating series at (2 3) 2.014 * [backup-simplify]: Simplify (* y (fma x 2 y)) into (* y (fma x 2 y)) 2.014 * [approximate]: Taking taylor expansion of (* y (fma x 2 y)) in (y x) around 0 2.014 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 2.014 * [taylor]: Taking taylor expansion of y in x 2.014 * [backup-simplify]: Simplify y into y 2.014 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 2.014 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.015 * [taylor]: Taking taylor expansion of (* x 2) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of 2 in x 2.015 * [backup-simplify]: Simplify 2 into 2 2.015 * [taylor]: Taking taylor expansion of y in x 2.015 * [backup-simplify]: Simplify y into y 2.015 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 2.015 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.015 * [taylor]: Taking taylor expansion of (* x 2) in y 2.015 * [taylor]: Taking taylor expansion of x in y 2.015 * [backup-simplify]: Simplify x into x 2.015 * [taylor]: Taking taylor expansion of 2 in y 2.015 * [backup-simplify]: Simplify 2 into 2 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 2.015 * [taylor]: Taking taylor expansion of y in y 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 2.015 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.015 * [taylor]: Taking taylor expansion of (* x 2) in y 2.015 * [taylor]: Taking taylor expansion of x in y 2.016 * [backup-simplify]: Simplify x into x 2.016 * [taylor]: Taking taylor expansion of 2 in y 2.016 * [backup-simplify]: Simplify 2 into 2 2.016 * [taylor]: Taking taylor expansion of y in y 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (* x 2) into (* 2 x) 2.016 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 2.016 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 2.016 * [taylor]: Taking taylor expansion of 0 in x 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify (+ (* x 0) (* 0 2)) into 0 2.017 * [backup-simplify]: Simplify (+ 0 1) into 1 2.018 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 x))) into (* 2 x) 2.018 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.018 * [taylor]: Taking taylor expansion of 2 in x 2.018 * [backup-simplify]: Simplify 2 into 2 2.018 * [taylor]: Taking taylor expansion of x in x 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (* 2 0) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 2))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 x)))) into 1 2.020 * [taylor]: Taking taylor expansion of 1 in x 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.021 * [backup-simplify]: Simplify 2 into 2 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 x))))) into 0 2.023 * [taylor]: Taking taylor expansion of 0 in x 2.023 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 x)))))) into 0 2.027 * [taylor]: Taking taylor expansion of 0 in x 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 2.028 * [backup-simplify]: Simplify (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) into (/ (fma (/ 1 x) 2 (/ 1 y)) y) 2.028 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in (y x) around 0 2.028 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 2.028 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 2.028 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.028 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.029 * [taylor]: Taking taylor expansion of 2 in x 2.029 * [backup-simplify]: Simplify 2 into 2 2.029 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [backup-simplify]: Simplify y into y 2.029 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.029 * [taylor]: Taking taylor expansion of y in x 2.029 * [backup-simplify]: Simplify y into y 2.030 * [backup-simplify]: Simplify (* 1 2) into 2 2.030 * [backup-simplify]: Simplify (+ 2 0) into 2 2.030 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.030 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 2.030 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 2.030 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.030 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 2.030 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.030 * [taylor]: Taking taylor expansion of x in y 2.030 * [backup-simplify]: Simplify x into x 2.030 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.031 * [taylor]: Taking taylor expansion of 2 in y 2.031 * [backup-simplify]: Simplify 2 into 2 2.031 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.031 * [taylor]: Taking taylor expansion of y in y 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [taylor]: Taking taylor expansion of y in y 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (+ 0 1) into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 2.032 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 2.032 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.032 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 2.032 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.032 * [taylor]: Taking taylor expansion of x in y 2.032 * [backup-simplify]: Simplify x into x 2.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.032 * [taylor]: Taking taylor expansion of 2 in y 2.032 * [backup-simplify]: Simplify 2 into 2 2.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.033 * [taylor]: Taking taylor expansion of y in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of y in y 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (+ 0 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [taylor]: Taking taylor expansion of 1 in x 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (* (/ 1 x) 2) into (/ 2 x) 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 2.035 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 2.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.036 * [taylor]: Taking taylor expansion of 2 in x 2.036 * [backup-simplify]: Simplify 2 into 2 2.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [backup-simplify]: Simplify (* 2 1) into 2 2.037 * [backup-simplify]: Simplify 2 into 2 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 2)) into 0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 2.040 * [taylor]: Taking taylor expansion of 0 in x 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 2))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [taylor]: Taking taylor expansion of 0 in x 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ 0 0) into 0 2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [taylor]: Taking taylor expansion of 0 in x 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 2.052 * [backup-simplify]: Simplify (* (/ 1 (- y)) (fma (/ 1 (- x)) 2 (/ 1 (- y)))) into (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) 2.052 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in (y x) around 0 2.052 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 2.052 * [taylor]: Taking taylor expansion of -1 in x 2.052 * [backup-simplify]: Simplify -1 into -1 2.052 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 2.052 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 2.053 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 2.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.053 * [taylor]: Taking taylor expansion of -1 in x 2.053 * [backup-simplify]: Simplify -1 into -1 2.053 * [taylor]: Taking taylor expansion of x in x 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ -1 1) into -1 2.053 * [taylor]: Taking taylor expansion of 2 in x 2.053 * [backup-simplify]: Simplify 2 into 2 2.053 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.053 * [taylor]: Taking taylor expansion of -1 in x 2.053 * [backup-simplify]: Simplify -1 into -1 2.053 * [taylor]: Taking taylor expansion of y in x 2.053 * [backup-simplify]: Simplify y into y 2.053 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.053 * [taylor]: Taking taylor expansion of y in x 2.054 * [backup-simplify]: Simplify y into y 2.054 * [backup-simplify]: Simplify (* -1 2) into -2 2.055 * [backup-simplify]: Simplify (+ -2 0) into -2 2.055 * [backup-simplify]: Simplify (/ -2 y) into (/ -2 y) 2.055 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 2.055 * [taylor]: Taking taylor expansion of -1 in y 2.055 * [backup-simplify]: Simplify -1 into -1 2.055 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 2.055 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 2.055 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.055 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 2.055 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.055 * [taylor]: Taking taylor expansion of -1 in y 2.055 * [backup-simplify]: Simplify -1 into -1 2.055 * [taylor]: Taking taylor expansion of x in y 2.055 * [backup-simplify]: Simplify x into x 2.055 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.055 * [taylor]: Taking taylor expansion of 2 in y 2.055 * [backup-simplify]: Simplify 2 into 2 2.055 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.055 * [taylor]: Taking taylor expansion of -1 in y 2.055 * [backup-simplify]: Simplify -1 into -1 2.056 * [taylor]: Taking taylor expansion of y in y 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (/ -1 1) into -1 2.056 * [taylor]: Taking taylor expansion of y in y 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.057 * [backup-simplify]: Simplify (/ -1 1) into -1 2.057 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 2.057 * [taylor]: Taking taylor expansion of -1 in y 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 2.057 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 2.057 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.057 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 2.057 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.057 * [taylor]: Taking taylor expansion of -1 in y 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of x in y 2.057 * [backup-simplify]: Simplify x into x 2.058 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.058 * [taylor]: Taking taylor expansion of 2 in y 2.058 * [backup-simplify]: Simplify 2 into 2 2.058 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.058 * [taylor]: Taking taylor expansion of -1 in y 2.058 * [backup-simplify]: Simplify -1 into -1 2.058 * [taylor]: Taking taylor expansion of y in y 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (/ -1 1) into -1 2.058 * [taylor]: Taking taylor expansion of y in y 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.059 * [backup-simplify]: Simplify (/ -1 1) into -1 2.059 * [backup-simplify]: Simplify (* -1 -1) into 1 2.060 * [taylor]: Taking taylor expansion of 1 in x 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (* (/ -1 x) 2) into (/ -2 x) 2.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ (/ -2 x) 0) into (- (* 2 (/ 1 x))) 2.061 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 x))) 1) (+ (* -1 (/ 0 1)))) into (- (* 2 (/ 1 x))) 2.061 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 x)))) (* 0 -1)) into (* 2 (/ 1 x)) 2.061 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.061 * [taylor]: Taking taylor expansion of 2 in x 2.061 * [backup-simplify]: Simplify 2 into 2 2.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [backup-simplify]: Simplify (* 2 1) into 2 2.062 * [backup-simplify]: Simplify 2 into 2 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 2)) into 0 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))) into 0 2.065 * [taylor]: Taking taylor expansion of 0 in x 2.065 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.073 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 2))) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1)))) into 0 2.078 * [taylor]: Taking taylor expansion of 0 in x 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))))) into 0 2.087 * [taylor]: Taking taylor expansion of 0 in x 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 2.088 * * * [progress]: simplifying candidates 2.088 * [simplify]: Simplifying: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (* y (fma x 2 y)) (+ (log y) (log (fma x 2 y))) (log (* y (fma x 2 y))) (exp (* y (fma x 2 y))) (* (* (* y y) y) (* (* (fma x 2 y) (fma x 2 y)) (fma x 2 y))) (* (cbrt (* y (fma x 2 y))) (cbrt (* y (fma x 2 y)))) (cbrt (* y (fma x 2 y))) (* (* (* y (fma x 2 y)) (* y (fma x 2 y))) (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* y (* x 2)) (* y y) (* (* x 2) y) (* y y) (* y (* (cbrt (fma x 2 y)) (cbrt (fma x 2 y)))) (* y (sqrt (fma x 2 y))) (* y 1) (* (cbrt y) (fma x 2 y)) (* (sqrt y) (fma x 2 y)) (* y (fma x 2 y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) 2.089 * * [simplify]: Extracting # 0 : cost 0 2.089 * * [simplify]: Extracting # 1 : cost 0 2.089 * * [simplify]: Extracting # 2 : cost 0 2.089 * * [simplify]: Extracting # 3 : cost 0 2.089 * * [simplify]: Extracting # 4 : cost 0 2.090 * * [simplify]: Extracting # 5 : cost 0 2.090 * * [simplify]: Extracting # 6 : cost 0 2.090 * * [simplify]: iteration 0 : 41 enodes (cost 220 ) 2.104 * * [simplify]: Extracting # 0 : cost 0 2.105 * * [simplify]: Extracting # 1 : cost 0 2.105 * * [simplify]: Extracting # 2 : cost 0 2.105 * * [simplify]: iteration 1 : 90 enodes (cost 217 ) 2.157 * * [simplify]: Extracting # 0 : cost 0 2.157 * * [simplify]: Extracting # 1 : cost 0 2.158 * * [simplify]: Extracting # 2 : cost 0 2.159 * * [simplify]: Extracting # 3 : cost 0 2.160 * * [simplify]: Extracting # 4 : cost 0 2.160 * * [simplify]: iteration 2 : 372 enodes (cost 189 ) 2.636 * * [simplify]: Extracting # 0 : cost 0 2.640 * * [simplify]: Extracting # 1 : cost 0 2.647 * * [simplify]: Extracting # 2 : cost 0 2.650 * * [simplify]: Extracting # 3 : cost 0 2.656 * * [simplify]: Extracting # 4 : cost 0 2.664 * * [simplify]: iteration 3 : 2608 enodes (cost 184 ) 4.018 * * [simplify]: Extracting # 0 : cost 0 4.039 * * [simplify]: Extracting # 1 : cost 0 4.047 * * [simplify]: Extracting # 2 : cost 0 4.055 * * [simplify]: Extracting # 3 : cost 0 4.063 * * [simplify]: Extracting # 4 : cost 0 4.070 * * [simplify]: iteration done: 5001 enodes (cost 184 ) 4.070 * [simplify]: Simplified to: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (* (fma x 2 y) y) (log (* y (fma x 2 y))) (log (* y (fma x 2 y))) (exp (* y (fma x 2 y))) (pow (* y (fma x 2 y)) 3) (* (cbrt (* y (fma x 2 y))) (cbrt (* y (fma x 2 y)))) (cbrt (* y (fma x 2 y))) (pow (* y (fma x 2 y)) 3) (sqrt (* y (fma x 2 y))) (sqrt (* y (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* (sqrt y) (sqrt (fma x 2 y))) (* 2 (* x y)) (* y y) (* (* x 2) y) (* y y) (* y (* (cbrt (fma x 2 y)) (cbrt (fma x 2 y)))) (* y (sqrt (fma x 2 y))) y (* (cbrt y) (fma x 2 y)) (* (sqrt y) (fma x 2 y)) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) (* (fma x 2 y) y) 4.070 * * * [progress]: adding candidates to table 4.144 * * [progress]: iteration 3 / 4 4.144 * * * [progress]: picking best candidate 4.147 * * * * [pick]: Picked # 4.147 * * * [progress]: localizing error 4.163 * * * [progress]: generating rewritten candidates 4.163 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 4.200 * * * * [progress]: [ 2 / 2 ] rewriting at (2 3 1) 4.220 * * * [progress]: generating series expansions 4.220 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 4.221 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* y y)) into (+ (pow y 2) (* 2 (* x y))) 4.221 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (x y) around 0 4.221 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 4.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.221 * [taylor]: Taking taylor expansion of y in y 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.221 * [taylor]: Taking taylor expansion of 2 in y 4.221 * [backup-simplify]: Simplify 2 into 2 4.221 * [taylor]: Taking taylor expansion of (* x y) in y 4.221 * [taylor]: Taking taylor expansion of x in y 4.221 * [backup-simplify]: Simplify x into x 4.221 * [taylor]: Taking taylor expansion of y in y 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.221 * [taylor]: Taking taylor expansion of y in x 4.221 * [backup-simplify]: Simplify y into y 4.221 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.221 * [taylor]: Taking taylor expansion of 2 in x 4.221 * [backup-simplify]: Simplify 2 into 2 4.221 * [taylor]: Taking taylor expansion of (* x y) in x 4.221 * [taylor]: Taking taylor expansion of x in x 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [taylor]: Taking taylor expansion of y in x 4.221 * [backup-simplify]: Simplify y into y 4.221 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 4.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.221 * [taylor]: Taking taylor expansion of y in x 4.222 * [backup-simplify]: Simplify y into y 4.222 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.222 * [taylor]: Taking taylor expansion of 2 in x 4.222 * [backup-simplify]: Simplify 2 into 2 4.222 * [taylor]: Taking taylor expansion of (* x y) in x 4.222 * [taylor]: Taking taylor expansion of x in x 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.222 * [taylor]: Taking taylor expansion of y in x 4.222 * [backup-simplify]: Simplify y into y 4.222 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.222 * [backup-simplify]: Simplify (* 0 y) into 0 4.223 * [backup-simplify]: Simplify (* 2 0) into 0 4.223 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.223 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.223 * [taylor]: Taking taylor expansion of y in y 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.224 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.224 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 4.224 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.224 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.224 * [taylor]: Taking taylor expansion of 2 in y 4.225 * [backup-simplify]: Simplify 2 into 2 4.225 * [taylor]: Taking taylor expansion of y in y 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (* 2 0) into 0 4.225 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 4.228 * [backup-simplify]: Simplify (+ 0 0) into 0 4.228 * [taylor]: Taking taylor expansion of 0 in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.229 * [backup-simplify]: Simplify 2 into 2 4.229 * [backup-simplify]: Simplify (* 1 1) into 1 4.229 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 4.233 * [backup-simplify]: Simplify (+ 0 0) into 0 4.233 * [taylor]: Taking taylor expansion of 0 in y 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.234 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.235 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.239 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 4.239 * [backup-simplify]: Simplify (+ 0 0) into 0 4.239 * [taylor]: Taking taylor expansion of 0 in y 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 2 (* y x))) into (+ (pow y 2) (* 2 (* x y))) 4.240 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 x) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 4.240 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 4.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.240 * [taylor]: Taking taylor expansion of y in y 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 1 into 1 4.241 * [backup-simplify]: Simplify (* 1 1) into 1 4.241 * [backup-simplify]: Simplify (/ 1 1) into 1 4.241 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.241 * [taylor]: Taking taylor expansion of 2 in y 4.241 * [backup-simplify]: Simplify 2 into 2 4.241 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.241 * [taylor]: Taking taylor expansion of (* x y) in y 4.241 * [taylor]: Taking taylor expansion of x in y 4.242 * [backup-simplify]: Simplify x into x 4.242 * [taylor]: Taking taylor expansion of y in y 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 1 into 1 4.242 * [backup-simplify]: Simplify (* x 0) into 0 4.242 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.242 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.242 * [taylor]: Taking taylor expansion of y in x 4.242 * [backup-simplify]: Simplify y into y 4.242 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.243 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.243 * [taylor]: Taking taylor expansion of 2 in x 4.243 * [backup-simplify]: Simplify 2 into 2 4.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.243 * [taylor]: Taking taylor expansion of (* x y) in x 4.243 * [taylor]: Taking taylor expansion of x in x 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify 1 into 1 4.243 * [taylor]: Taking taylor expansion of y in x 4.243 * [backup-simplify]: Simplify y into y 4.243 * [backup-simplify]: Simplify (* 0 y) into 0 4.243 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.244 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.244 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.244 * [taylor]: Taking taylor expansion of y in x 4.244 * [backup-simplify]: Simplify y into y 4.244 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.244 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.244 * [taylor]: Taking taylor expansion of 2 in x 4.244 * [backup-simplify]: Simplify 2 into 2 4.244 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.244 * [taylor]: Taking taylor expansion of (* x y) in x 4.244 * [taylor]: Taking taylor expansion of x in x 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [taylor]: Taking taylor expansion of y in x 4.244 * [backup-simplify]: Simplify y into y 4.244 * [backup-simplify]: Simplify (* 0 y) into 0 4.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.245 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.245 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.245 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.245 * [taylor]: Taking taylor expansion of 2 in y 4.245 * [backup-simplify]: Simplify 2 into 2 4.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.245 * [taylor]: Taking taylor expansion of y in y 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.247 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.247 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.248 * [taylor]: Taking taylor expansion of y in y 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (* 1 1) into 1 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (* 2 1) into 2 4.249 * [backup-simplify]: Simplify 2 into 2 4.249 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.252 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.252 * [taylor]: Taking taylor expansion of 0 in y 4.252 * [backup-simplify]: Simplify 0 into 0 4.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.260 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.260 * [backup-simplify]: Simplify (+ 0 0) into 0 4.260 * [taylor]: Taking taylor expansion of 0 in y 4.260 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.264 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 4.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 4.270 * [backup-simplify]: Simplify (+ 0 0) into 0 4.270 * [taylor]: Taking taylor expansion of 0 in y 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (* 2 (* x y))) 4.273 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 4.273 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (x y) around 0 4.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 4.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.273 * [taylor]: Taking taylor expansion of y in y 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.274 * [backup-simplify]: Simplify (* 1 1) into 1 4.274 * [backup-simplify]: Simplify (/ 1 1) into 1 4.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 4.274 * [taylor]: Taking taylor expansion of 2 in y 4.274 * [backup-simplify]: Simplify 2 into 2 4.274 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 4.274 * [taylor]: Taking taylor expansion of (* x y) in y 4.274 * [taylor]: Taking taylor expansion of x in y 4.274 * [backup-simplify]: Simplify x into x 4.274 * [taylor]: Taking taylor expansion of y in y 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (* x 0) into 0 4.275 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.275 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.275 * [taylor]: Taking taylor expansion of y in x 4.275 * [backup-simplify]: Simplify y into y 4.275 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.276 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.276 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.276 * [taylor]: Taking taylor expansion of 2 in x 4.276 * [backup-simplify]: Simplify 2 into 2 4.276 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.276 * [taylor]: Taking taylor expansion of (* x y) in x 4.276 * [taylor]: Taking taylor expansion of x in x 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [taylor]: Taking taylor expansion of y in x 4.276 * [backup-simplify]: Simplify y into y 4.276 * [backup-simplify]: Simplify (* 0 y) into 0 4.276 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.276 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.277 * [taylor]: Taking taylor expansion of y in x 4.277 * [backup-simplify]: Simplify y into y 4.277 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.277 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 4.277 * [taylor]: Taking taylor expansion of 2 in x 4.277 * [backup-simplify]: Simplify 2 into 2 4.277 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 4.277 * [taylor]: Taking taylor expansion of (* x y) in x 4.277 * [taylor]: Taking taylor expansion of x in x 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [taylor]: Taking taylor expansion of y in x 4.277 * [backup-simplify]: Simplify y into y 4.277 * [backup-simplify]: Simplify (* 0 y) into 0 4.278 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.278 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.278 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.278 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.278 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.278 * [taylor]: Taking taylor expansion of 2 in y 4.278 * [backup-simplify]: Simplify 2 into 2 4.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.278 * [taylor]: Taking taylor expansion of y in y 4.278 * [backup-simplify]: Simplify 0 into 0 4.278 * [backup-simplify]: Simplify 1 into 1 4.279 * [backup-simplify]: Simplify (/ 1 1) into 1 4.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.280 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.280 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.281 * [taylor]: Taking taylor expansion of y in y 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (* 1 1) into 1 4.281 * [backup-simplify]: Simplify (/ 1 1) into 1 4.281 * [backup-simplify]: Simplify 1 into 1 4.282 * [backup-simplify]: Simplify (* 2 1) into 2 4.282 * [backup-simplify]: Simplify 2 into 2 4.282 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.285 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.285 * [backup-simplify]: Simplify (+ 0 0) into 0 4.285 * [taylor]: Taking taylor expansion of 0 in y 4.285 * [backup-simplify]: Simplify 0 into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.288 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.288 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.292 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.293 * [backup-simplify]: Simplify (+ 0 0) into 0 4.293 * [taylor]: Taking taylor expansion of 0 in y 4.293 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.305 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 4.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.308 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y)))))) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [taylor]: Taking taylor expansion of 0 in y 4.308 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (* 2 (* x y))) 4.312 * * * * [progress]: [ 2 / 2 ] generating series at (2 3 1) 4.312 * [backup-simplify]: Simplify (* 2 (* x y)) into (* 2 (* x y)) 4.312 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 4.312 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 4.312 * [taylor]: Taking taylor expansion of 2 in y 4.312 * [backup-simplify]: Simplify 2 into 2 4.312 * [taylor]: Taking taylor expansion of (* x y) in y 4.312 * [taylor]: Taking taylor expansion of x in y 4.312 * [backup-simplify]: Simplify x into x 4.312 * [taylor]: Taking taylor expansion of y in y 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.312 * [taylor]: Taking taylor expansion of 2 in x 4.312 * [backup-simplify]: Simplify 2 into 2 4.312 * [taylor]: Taking taylor expansion of (* x y) in x 4.312 * [taylor]: Taking taylor expansion of x in x 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [taylor]: Taking taylor expansion of y in x 4.312 * [backup-simplify]: Simplify y into y 4.312 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 4.312 * [taylor]: Taking taylor expansion of 2 in x 4.312 * [backup-simplify]: Simplify 2 into 2 4.312 * [taylor]: Taking taylor expansion of (* x y) in x 4.312 * [taylor]: Taking taylor expansion of x in x 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [taylor]: Taking taylor expansion of y in x 4.312 * [backup-simplify]: Simplify y into y 4.313 * [backup-simplify]: Simplify (* 0 y) into 0 4.313 * [backup-simplify]: Simplify (* 2 0) into 0 4.313 * [taylor]: Taking taylor expansion of 0 in y 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.314 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 4.314 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.314 * [taylor]: Taking taylor expansion of 2 in y 4.314 * [backup-simplify]: Simplify 2 into 2 4.314 * [taylor]: Taking taylor expansion of y in y 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (* 2 0) into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 4.317 * [taylor]: Taking taylor expansion of 0 in y 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.318 * [backup-simplify]: Simplify 2 into 2 4.318 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.320 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 4.320 * [taylor]: Taking taylor expansion of 0 in y 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.325 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 4.325 * [taylor]: Taking taylor expansion of 0 in y 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 4.325 * [backup-simplify]: Simplify (* 2 (* (/ 1 x) (/ 1 y))) into (/ 2 (* x y)) 4.325 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 4.325 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 4.325 * [taylor]: Taking taylor expansion of 2 in y 4.325 * [backup-simplify]: Simplify 2 into 2 4.325 * [taylor]: Taking taylor expansion of (* x y) in y 4.325 * [taylor]: Taking taylor expansion of x in y 4.325 * [backup-simplify]: Simplify x into x 4.325 * [taylor]: Taking taylor expansion of y in y 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify (* x 0) into 0 4.326 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.326 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 4.326 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 4.326 * [taylor]: Taking taylor expansion of 2 in x 4.326 * [backup-simplify]: Simplify 2 into 2 4.326 * [taylor]: Taking taylor expansion of (* x y) in x 4.326 * [taylor]: Taking taylor expansion of x in x 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.326 * [taylor]: Taking taylor expansion of y in x 4.326 * [backup-simplify]: Simplify y into y 4.326 * [backup-simplify]: Simplify (* 0 y) into 0 4.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.327 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 4.327 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 4.327 * [taylor]: Taking taylor expansion of 2 in x 4.327 * [backup-simplify]: Simplify 2 into 2 4.327 * [taylor]: Taking taylor expansion of (* x y) in x 4.327 * [taylor]: Taking taylor expansion of x in x 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [taylor]: Taking taylor expansion of y in x 4.327 * [backup-simplify]: Simplify y into y 4.327 * [backup-simplify]: Simplify (* 0 y) into 0 4.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.328 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 4.328 * [taylor]: Taking taylor expansion of (/ 2 y) in y 4.328 * [taylor]: Taking taylor expansion of 2 in y 4.328 * [backup-simplify]: Simplify 2 into 2 4.328 * [taylor]: Taking taylor expansion of y in y 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (/ 2 1) into 2 4.328 * [backup-simplify]: Simplify 2 into 2 4.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.330 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 4.330 * [taylor]: Taking taylor expansion of 0 in y 4.330 * [backup-simplify]: Simplify 0 into 0 4.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.330 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.332 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.332 * [taylor]: Taking taylor expansion of 0 in y 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.335 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.335 * [taylor]: Taking taylor expansion of 0 in y 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 4.337 * [backup-simplify]: Simplify (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 2 (* x y)) 4.337 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 4.337 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 4.337 * [taylor]: Taking taylor expansion of 2 in y 4.337 * [backup-simplify]: Simplify 2 into 2 4.337 * [taylor]: Taking taylor expansion of (* x y) in y 4.337 * [taylor]: Taking taylor expansion of x in y 4.337 * [backup-simplify]: Simplify x into x 4.337 * [taylor]: Taking taylor expansion of y in y 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (* x 0) into 0 4.337 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 4.338 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 4.338 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 4.338 * [taylor]: Taking taylor expansion of 2 in x 4.338 * [backup-simplify]: Simplify 2 into 2 4.338 * [taylor]: Taking taylor expansion of (* x y) in x 4.338 * [taylor]: Taking taylor expansion of x in x 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.338 * [taylor]: Taking taylor expansion of y in x 4.338 * [backup-simplify]: Simplify y into y 4.338 * [backup-simplify]: Simplify (* 0 y) into 0 4.338 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.338 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 4.338 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 4.338 * [taylor]: Taking taylor expansion of 2 in x 4.338 * [backup-simplify]: Simplify 2 into 2 4.338 * [taylor]: Taking taylor expansion of (* x y) in x 4.339 * [taylor]: Taking taylor expansion of x in x 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [taylor]: Taking taylor expansion of y in x 4.339 * [backup-simplify]: Simplify y into y 4.339 * [backup-simplify]: Simplify (* 0 y) into 0 4.339 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 4.339 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 4.339 * [taylor]: Taking taylor expansion of (/ 2 y) in y 4.339 * [taylor]: Taking taylor expansion of 2 in y 4.339 * [backup-simplify]: Simplify 2 into 2 4.339 * [taylor]: Taking taylor expansion of y in y 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.340 * [backup-simplify]: Simplify (/ 2 1) into 2 4.340 * [backup-simplify]: Simplify 2 into 2 4.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 4.341 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 4.341 * [taylor]: Taking taylor expansion of 0 in y 4.341 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 4.343 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.344 * [taylor]: Taking taylor expansion of 0 in y 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.347 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.347 * [taylor]: Taking taylor expansion of 0 in y 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 4.348 * * * [progress]: simplifying candidates 4.349 * [simplify]: Simplifying: (expm1 (+ (* 2 (* x y)) (* y y))) (log1p (+ (* 2 (* x y)) (* y y))) (* (exp (* 2 (* x y))) (exp (* y y))) (log (+ (* 2 (* x y)) (* y y))) (exp (+ (* 2 (* x y)) (* y y))) (* (cbrt (+ (* 2 (* x y)) (* y y))) (cbrt (+ (* 2 (* x y)) (* y y)))) (cbrt (+ (* 2 (* x y)) (* y y))) (* (* (+ (* 2 (* x y)) (* y y)) (+ (* 2 (* x y)) (* y y))) (+ (* 2 (* x y)) (* y y))) (sqrt (+ (* 2 (* x y)) (* y y))) (sqrt (+ (* 2 (* x y)) (* y y))) (+ (pow (* 2 (* x y)) 3) (pow (* y y) 3)) (+ (* (* 2 (* x y)) (* 2 (* x y))) (- (* (* y y) (* y y)) (* (* 2 (* x y)) (* y y)))) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (* y y) (* y y))) (- (* 2 (* x y)) (* y y)) (expm1 (* 2 (* x y))) (log1p (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) 4.350 * * [simplify]: Extracting # 0 : cost 0 4.350 * * [simplify]: Extracting # 1 : cost 0 4.351 * * [simplify]: Extracting # 2 : cost 0 4.351 * * [simplify]: Extracting # 3 : cost 0 4.351 * * [simplify]: Extracting # 4 : cost 0 4.351 * * [simplify]: Extracting # 5 : cost 0 4.351 * * [simplify]: Extracting # 6 : cost 0 4.351 * * [simplify]: iteration 0 : 61 enodes (cost 394 ) 4.377 * * [simplify]: Extracting # 0 : cost 0 4.378 * * [simplify]: Extracting # 1 : cost 0 4.378 * * [simplify]: Extracting # 2 : cost 0 4.379 * * [simplify]: Extracting # 3 : cost 0 4.379 * * [simplify]: Extracting # 4 : cost 0 4.379 * * [simplify]: iteration 1 : 187 enodes (cost 352 ) 4.555 * * [simplify]: Extracting # 0 : cost 0 4.557 * * [simplify]: Extracting # 1 : cost 0 4.559 * * [simplify]: Extracting # 2 : cost 0 4.561 * * [simplify]: Extracting # 3 : cost 0 4.563 * * [simplify]: Extracting # 4 : cost 0 4.565 * * [simplify]: iteration 2 : 943 enodes (cost 294 ) 5.252 * * [simplify]: Extracting # 0 : cost 0 5.260 * * [simplify]: Extracting # 1 : cost 0 5.268 * * [simplify]: Extracting # 2 : cost 0 5.282 * * [simplify]: Extracting # 3 : cost 0 5.289 * * [simplify]: Extracting # 4 : cost 0 5.296 * * [simplify]: iteration done: 5000 enodes (cost 277 ) 5.296 * [simplify]: Simplified to: (expm1 (* y (fma 2 x y))) (log1p (* y (fma 2 x y))) (exp (* y (fma 2 x y))) (log (* y (fma 2 x y))) (exp (* y (fma 2 x y))) (* (cbrt (* y (fma 2 x y))) (cbrt (* y (fma 2 x y)))) (cbrt (* y (fma 2 x y))) (pow (* y (fma 2 x y)) 3) (sqrt (* y (fma 2 x y))) (sqrt (* y (fma 2 x y))) (fma 8 (pow (* x y) 3) (pow y 6)) (- (pow y 4) (* (* 2 (* x y)) (* y (- y (* 2 x))))) (fma 4 (* (* x y) (* x y)) (- (pow y 4))) (* y (- (* 2 x) y)) (expm1 (* 2 (* x y))) (log1p (* 2 (* x y))) (* 2 (* x y)) (* 2 (* x y)) (log (* 2 (* x y))) (log (* 2 (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (pow (* 2 (* x y)) 3) (pow (* 2 (* x y)) 3) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (pow (* 2 (* x y)) 3) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (* y (fma 2 x y)) (* y (fma 2 x y)) (* y (fma 2 x y)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) 5.296 * * * [progress]: adding candidates to table 5.411 * [progress]: [Phase 3 of 3] Extracting. 5.412 * * [regime]: Finding splitpoints for: (# #) 5.412 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 5.412 * * * * [regimes]: Trying to branch on (+ x y) from (# #) 5.427 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# #) 5.439 * * * * [regimes]: Trying to branch on y from (# #) 5.458 * * * * [regimes]: Trying to branch on x from (# #) 5.473 * * * [regime]: Found split indices: #