87.171 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: Extracting # 3 : cost 0 0.040 * * [simplify]: Extracting # 4 : cost 0 0.040 * * [simplify]: iteration 0 : 4 enodes (cost 7 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: iteration 1 : 11 enodes (cost 7 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: iteration 2 : 27 enodes (cost 7 ) 0.057 * * [simplify]: Extracting # 0 : cost 0 0.057 * * [simplify]: Extracting # 1 : cost 0 0.057 * * [simplify]: Extracting # 2 : cost 0 0.057 * * [simplify]: iteration 3 : 65 enodes (cost 7 ) 0.086 * * [simplify]: Extracting # 0 : cost 0 0.086 * * [simplify]: Extracting # 1 : cost 0 0.086 * * [simplify]: Extracting # 2 : cost 0 0.086 * * [simplify]: Extracting # 3 : cost 0 0.086 * * [simplify]: iteration 4 : 150 enodes (cost 7 ) 0.137 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: Extracting # 1 : cost 0 0.138 * * [simplify]: Extracting # 2 : cost 0 0.138 * * [simplify]: iteration 5 : 273 enodes (cost 7 ) 0.200 * * [simplify]: Extracting # 0 : cost 0 0.200 * * [simplify]: Extracting # 1 : cost 0 0.200 * * [simplify]: iteration 6 : 323 enodes (cost 7 ) 0.245 * * [simplify]: Extracting # 0 : cost 0 0.246 * * [simplify]: Extracting # 1 : cost 0 0.246 * * [simplify]: Extracting # 2 : cost 0 0.246 * * [simplify]: iteration 7 : 340 enodes (cost 7 ) 0.304 * * [simplify]: Extracting # 0 : cost 0 0.305 * * [simplify]: iteration 8 : 342 enodes (cost 7 ) 0.353 * * [simplify]: Extracting # 0 : cost 0 0.353 * * [simplify]: iteration done: 342 enodes (cost 7 ) 0.353 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.354 * * [progress]: iteration 1 / 4 0.354 * * * [progress]: picking best candidate 0.357 * * * * [pick]: Picked # 0.357 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.429 * * * [progress]: generating series expansions 0.429 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.429 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.429 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.429 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.429 * [taylor]: Taking taylor expansion of (+ x y) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [backup-simplify]: Simplify x into x 0.429 * [taylor]: Taking taylor expansion of y in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (+ x 0) into x 0.430 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.430 * [taylor]: Taking taylor expansion of (+ x y) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [backup-simplify]: Simplify y into y 0.430 * [backup-simplify]: Simplify (+ 0 y) into y 0.430 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.430 * [taylor]: Taking taylor expansion of (+ x y) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [backup-simplify]: Simplify y into y 0.430 * [backup-simplify]: Simplify (+ 0 y) into y 0.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (+ 1 0) into 1 0.431 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.431 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.431 * [taylor]: Taking taylor expansion of 2 in y 0.431 * [backup-simplify]: Simplify 2 into 2 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 0.432 * [backup-simplify]: Simplify (* 2 0) into 0 0.432 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.432 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.432 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify 1 into 1 0.433 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.433 * [backup-simplify]: Simplify 2 into 2 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [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)))) 0.435 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.435 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.435 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 1 into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [backup-simplify]: Simplify x into x 0.435 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.436 * [backup-simplify]: Simplify (+ 1 0) into 1 0.436 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [backup-simplify]: Simplify y into y 0.436 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ 1 1) into 1 0.437 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [backup-simplify]: Simplify y into y 0.437 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [backup-simplify]: Simplify 0 into 0 0.437 * [backup-simplify]: Simplify 1 into 1 0.437 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [backup-simplify]: Simplify (+ 0 1) into 1 0.438 * [backup-simplify]: Simplify (* 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of 1 in y 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.439 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.439 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.439 * [taylor]: Taking taylor expansion of 2 in y 0.439 * [backup-simplify]: Simplify 2 into 2 0.439 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ 1 1) into 1 0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (+ 0 0) into 0 0.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (/ 1 1) into 1 0.443 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 2 1) into 2 0.443 * [backup-simplify]: Simplify 2 into 2 0.443 * [backup-simplify]: Simplify 1 into 1 0.444 * [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)))) 0.444 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.444 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.444 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.444 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify 1 into 1 0.445 * [backup-simplify]: Simplify (/ 1 1) into 1 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.445 * [backup-simplify]: Simplify x into x 0.445 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.445 * [backup-simplify]: Simplify (+ 1 0) into 1 0.445 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [backup-simplify]: Simplify y into y 0.445 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (+ 0 1) into 1 0.446 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.446 * [backup-simplify]: Simplify y into y 0.446 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [backup-simplify]: Simplify (+ 0 1) into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of 1 in y 0.448 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.449 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.449 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.449 * [taylor]: Taking taylor expansion of 2 in y 0.449 * [backup-simplify]: Simplify 2 into 2 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify 1 into 1 0.449 * [backup-simplify]: Simplify (/ 1 1) into 1 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (* 1 1) into 1 0.452 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (* 2 1) into 2 0.453 * [backup-simplify]: Simplify 2 into 2 0.453 * [backup-simplify]: Simplify 1 into 1 0.454 * [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)))) 0.454 * * * [progress]: simplifying candidates 0.455 * [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)))) 0.456 * * [simplify]: Extracting # 0 : cost 0 0.456 * * [simplify]: Extracting # 1 : cost 0 0.457 * * [simplify]: Extracting # 2 : cost 0 0.457 * * [simplify]: Extracting # 3 : cost 0 0.457 * * [simplify]: Extracting # 4 : cost 0 0.457 * * [simplify]: Extracting # 5 : cost 0 0.457 * * [simplify]: Extracting # 6 : cost 0 0.457 * * [simplify]: iteration 0 : 64 enodes (cost 532 ) 0.493 * * [simplify]: Extracting # 0 : cost 0 0.493 * * [simplify]: Extracting # 1 : cost 0 0.494 * * [simplify]: Extracting # 2 : cost 0 0.494 * * [simplify]: Extracting # 3 : cost 0 0.495 * * [simplify]: Extracting # 4 : cost 0 0.495 * * [simplify]: iteration 1 : 232 enodes (cost 465 ) 0.782 * * [simplify]: Extracting # 0 : cost 0 0.786 * * [simplify]: Extracting # 1 : cost 0 0.790 * * [simplify]: Extracting # 2 : cost 0 0.793 * * [simplify]: Extracting # 3 : cost 0 0.797 * * [simplify]: Extracting # 4 : cost 0 0.800 * * [simplify]: iteration 2 : 1742 enodes (cost 416 ) 2.398 * * [simplify]: Extracting # 0 : cost 0 2.418 * * [simplify]: Extracting # 1 : cost 0 2.446 * * [simplify]: Extracting # 2 : cost 0 2.456 * * [simplify]: Extracting # 3 : cost 0 2.466 * * [simplify]: Extracting # 4 : cost 0 2.475 * * [simplify]: iteration done: 5002 enodes (cost 406 ) 2.476 * [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))) 2.476 * * * [progress]: adding candidates to table 2.602 * * [progress]: iteration 2 / 4 2.603 * * * [progress]: picking best candidate 2.611 * * * * [pick]: Picked # 2.611 * * * [progress]: localizing error 2.626 * * * [progress]: generating rewritten candidates 2.626 * * * * [progress]: [ 1 / 2 ] rewriting at (2 3) 2.645 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.647 * * * [progress]: generating series expansions 2.647 * * * * [progress]: [ 1 / 2 ] generating series at (2 3) 2.647 * [backup-simplify]: Simplify (* y (fma x 2 y)) into (* y (fma x 2 y)) 2.647 * [approximate]: Taking taylor expansion of (* y (fma x 2 y)) in (y x) around 0 2.647 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 2.647 * [taylor]: Taking taylor expansion of y in x 2.647 * [backup-simplify]: Simplify y into y 2.647 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 2.648 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.648 * [taylor]: Taking taylor expansion of (* x 2) in x 2.648 * [taylor]: Taking taylor expansion of x in x 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of 2 in x 2.648 * [backup-simplify]: Simplify 2 into 2 2.648 * [taylor]: Taking taylor expansion of y in x 2.648 * [backup-simplify]: Simplify y into y 2.648 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 2.648 * [taylor]: Taking taylor expansion of y in y 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 2.648 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.648 * [taylor]: Taking taylor expansion of (* x 2) in y 2.648 * [taylor]: Taking taylor expansion of x in y 2.648 * [backup-simplify]: Simplify x into x 2.648 * [taylor]: Taking taylor expansion of 2 in y 2.648 * [backup-simplify]: Simplify 2 into 2 2.648 * [taylor]: Taking taylor expansion of y in y 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 2.648 * [taylor]: Taking taylor expansion of y in y 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 2.649 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.649 * [taylor]: Taking taylor expansion of (* x 2) in y 2.649 * [taylor]: Taking taylor expansion of x in y 2.649 * [backup-simplify]: Simplify x into x 2.649 * [taylor]: Taking taylor expansion of 2 in y 2.649 * [backup-simplify]: Simplify 2 into 2 2.649 * [taylor]: Taking taylor expansion of y in y 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (* x 2) into (* 2 x) 2.649 * [backup-simplify]: Simplify (+ (* 2 x) 0) into (* 2 x) 2.649 * [backup-simplify]: Simplify (* 0 (* 2 x)) into 0 2.649 * [taylor]: Taking taylor expansion of 0 in x 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify (+ (* x 0) (* 0 2)) into 0 2.651 * [backup-simplify]: Simplify (+ 0 1) into 1 2.652 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 x))) into (* 2 x) 2.652 * [taylor]: Taking taylor expansion of (* 2 x) in x 2.652 * [taylor]: Taking taylor expansion of 2 in x 2.652 * [backup-simplify]: Simplify 2 into 2 2.652 * [taylor]: Taking taylor expansion of x in x 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (* 2 0) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 2))) into 0 2.653 * [backup-simplify]: Simplify (+ 0 0) into 0 2.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 x)))) into 1 2.654 * [taylor]: Taking taylor expansion of 1 in x 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.655 * [backup-simplify]: Simplify 2 into 2 2.655 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.656 * [backup-simplify]: Simplify (+ 0 0) into 0 2.657 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 x))))) into 0 2.657 * [taylor]: Taking taylor expansion of 0 in x 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 x)))))) into 0 2.662 * [taylor]: Taking taylor expansion of 0 in x 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 2.662 * [backup-simplify]: Simplify (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y))) into (/ (fma (/ 1 x) 2 (/ 1 y)) y) 2.662 * [approximate]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in (y x) around 0 2.662 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 2.662 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 2.663 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.663 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 2.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (/ 1 1) into 1 2.663 * [taylor]: Taking taylor expansion of 2 in x 2.663 * [backup-simplify]: Simplify 2 into 2 2.663 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.663 * [taylor]: Taking taylor expansion of y in x 2.663 * [backup-simplify]: Simplify y into y 2.663 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.663 * [taylor]: Taking taylor expansion of y in x 2.663 * [backup-simplify]: Simplify y into y 2.664 * [backup-simplify]: Simplify (* 1 2) into 2 2.665 * [backup-simplify]: Simplify (+ 2 0) into 2 2.665 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.665 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 2.665 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 2.665 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.665 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 2.665 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.665 * [taylor]: Taking taylor expansion of x in y 2.665 * [backup-simplify]: Simplify x into x 2.665 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.665 * [taylor]: Taking taylor expansion of 2 in y 2.665 * [backup-simplify]: Simplify 2 into 2 2.665 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.665 * [taylor]: Taking taylor expansion of y in y 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (/ 1 1) into 1 2.666 * [taylor]: Taking taylor expansion of y in y 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.666 * [backup-simplify]: Simplify (+ 0 1) into 1 2.666 * [backup-simplify]: Simplify (/ 1 1) into 1 2.666 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 2.666 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 2.667 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.667 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 2.667 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.667 * [taylor]: Taking taylor expansion of x in y 2.667 * [backup-simplify]: Simplify x into x 2.667 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.667 * [taylor]: Taking taylor expansion of 2 in y 2.667 * [backup-simplify]: Simplify 2 into 2 2.667 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.667 * [taylor]: Taking taylor expansion of y in y 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (/ 1 1) into 1 2.668 * [taylor]: Taking taylor expansion of y in y 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.670 * [backup-simplify]: Simplify (+ 0 1) into 1 2.671 * [backup-simplify]: Simplify (/ 1 1) into 1 2.671 * [taylor]: Taking taylor expansion of 1 in x 2.671 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (* (/ 1 x) 2) into (/ 2 x) 2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ (/ 2 x) 0) into (* 2 (/ 1 x)) 2.675 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 x)) 2.675 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.675 * [taylor]: Taking taylor expansion of 2 in x 2.675 * [backup-simplify]: Simplify 2 into 2 2.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.675 * [taylor]: Taking taylor expansion of x in x 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.676 * [backup-simplify]: Simplify (/ 1 1) into 1 2.676 * [backup-simplify]: Simplify (* 2 1) into 2 2.676 * [backup-simplify]: Simplify 2 into 2 2.677 * [backup-simplify]: Simplify 1 into 1 2.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 2.678 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 2)) into 0 2.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)))) into 0 2.680 * [taylor]: Taking taylor expansion of 0 in x 2.680 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 2))) into 0 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (+ 0 0) into 0 2.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.686 * [taylor]: Taking taylor expansion of 0 in x 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.689 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.690 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.692 * [taylor]: Taking taylor expansion of 0 in x 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 2.693 * [backup-simplify]: Simplify (* (/ 1 (- y)) (fma (/ 1 (- x)) 2 (/ 1 (- y)))) into (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) 2.693 * [approximate]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in (y x) around 0 2.693 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 2.693 * [taylor]: Taking taylor expansion of -1 in x 2.693 * [backup-simplify]: Simplify -1 into -1 2.693 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 2.693 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 2.693 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.693 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 2.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.693 * [taylor]: Taking taylor expansion of -1 in x 2.693 * [backup-simplify]: Simplify -1 into -1 2.693 * [taylor]: Taking taylor expansion of x in x 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (/ -1 1) into -1 2.694 * [taylor]: Taking taylor expansion of 2 in x 2.694 * [backup-simplify]: Simplify 2 into 2 2.694 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.694 * [taylor]: Taking taylor expansion of -1 in x 2.694 * [backup-simplify]: Simplify -1 into -1 2.694 * [taylor]: Taking taylor expansion of y in x 2.694 * [backup-simplify]: Simplify y into y 2.694 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.694 * [taylor]: Taking taylor expansion of y in x 2.694 * [backup-simplify]: Simplify y into y 2.694 * [backup-simplify]: Simplify (* -1 2) into -2 2.695 * [backup-simplify]: Simplify (+ -2 0) into -2 2.695 * [backup-simplify]: Simplify (/ -2 y) into (/ -2 y) 2.695 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 2.695 * [taylor]: Taking taylor expansion of -1 in y 2.695 * [backup-simplify]: Simplify -1 into -1 2.695 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 2.695 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 2.695 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.695 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 2.695 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.695 * [taylor]: Taking taylor expansion of -1 in y 2.695 * [backup-simplify]: Simplify -1 into -1 2.695 * [taylor]: Taking taylor expansion of x in y 2.695 * [backup-simplify]: Simplify x into x 2.695 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.695 * [taylor]: Taking taylor expansion of 2 in y 2.695 * [backup-simplify]: Simplify 2 into 2 2.695 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.695 * [taylor]: Taking taylor expansion of -1 in y 2.695 * [backup-simplify]: Simplify -1 into -1 2.695 * [taylor]: Taking taylor expansion of y in y 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (/ -1 1) into -1 2.696 * [taylor]: Taking taylor expansion of y in y 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.697 * [backup-simplify]: Simplify (/ -1 1) into -1 2.697 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 2.697 * [taylor]: Taking taylor expansion of -1 in y 2.697 * [backup-simplify]: Simplify -1 into -1 2.697 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 2.697 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 2.697 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.697 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 2.697 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.697 * [taylor]: Taking taylor expansion of -1 in y 2.697 * [backup-simplify]: Simplify -1 into -1 2.697 * [taylor]: Taking taylor expansion of x in y 2.697 * [backup-simplify]: Simplify x into x 2.697 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.697 * [taylor]: Taking taylor expansion of 2 in y 2.697 * [backup-simplify]: Simplify 2 into 2 2.697 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.697 * [taylor]: Taking taylor expansion of -1 in y 2.697 * [backup-simplify]: Simplify -1 into -1 2.697 * [taylor]: Taking taylor expansion of y in y 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (/ -1 1) into -1 2.698 * [taylor]: Taking taylor expansion of y in y 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.699 * [backup-simplify]: Simplify (/ -1 1) into -1 2.699 * [backup-simplify]: Simplify (* -1 -1) into 1 2.699 * [taylor]: Taking taylor expansion of 1 in x 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (* (/ -1 x) 2) into (/ -2 x) 2.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ (/ -2 x) 0) into (- (* 2 (/ 1 x))) 2.701 * [backup-simplify]: Simplify (- (/ (- (* 2 (/ 1 x))) 1) (+ (* -1 (/ 0 1)))) into (- (* 2 (/ 1 x))) 2.701 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 x)))) (* 0 -1)) into (* 2 (/ 1 x)) 2.701 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 2.701 * [taylor]: Taking taylor expansion of 2 in x 2.701 * [backup-simplify]: Simplify 2 into 2 2.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.701 * [taylor]: Taking taylor expansion of x in x 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (/ 1 1) into 1 2.702 * [backup-simplify]: Simplify (* 2 1) into 2 2.702 * [backup-simplify]: Simplify 2 into 2 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 2)) into 0 2.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (+ 0 0) into 0 2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))) into 0 2.706 * [taylor]: Taking taylor expansion of 0 in x 2.706 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 2))) into 0 2.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1)))) into 0 2.713 * [taylor]: Taking taylor expansion of 0 in x 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 2.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (+ 0 0) into 0 2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (- (* 2 (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 2 (/ 1 x)))) (* 0 -1))))) into 0 2.722 * [taylor]: Taking taylor expansion of 0 in x 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 2.723 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.723 * [backup-simplify]: Simplify (fma x x (* y (fma x 2 y))) into (fma x x (* y (fma x 2 y))) 2.723 * [approximate]: Taking taylor expansion of (fma x x (* y (fma x 2 y))) in (x y) around 0 2.723 * [taylor]: Taking taylor expansion of (fma x x (* y (fma x 2 y))) in y 2.724 * [taylor]: Rewrote expression to (+ (* x x) (* y (fma x 2 y))) 2.724 * [taylor]: Taking taylor expansion of (* x x) in y 2.724 * [taylor]: Taking taylor expansion of x in y 2.724 * [backup-simplify]: Simplify x into x 2.724 * [taylor]: Taking taylor expansion of x in y 2.724 * [backup-simplify]: Simplify x into x 2.724 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in y 2.724 * [taylor]: Taking taylor expansion of y in y 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [taylor]: Taking taylor expansion of (fma x 2 y) in y 2.724 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.724 * [taylor]: Taking taylor expansion of (* x 2) in y 2.724 * [taylor]: Taking taylor expansion of x in y 2.724 * [backup-simplify]: Simplify x into x 2.724 * [taylor]: Taking taylor expansion of 2 in y 2.724 * [backup-simplify]: Simplify 2 into 2 2.724 * [taylor]: Taking taylor expansion of y in y 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [taylor]: Taking taylor expansion of (fma x x (* y (fma x 2 y))) in x 2.725 * [taylor]: Rewrote expression to (+ (* x x) (* y (fma x 2 y))) 2.725 * [taylor]: Taking taylor expansion of (* x x) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 2.725 * [taylor]: Taking taylor expansion of y in x 2.725 * [backup-simplify]: Simplify y into y 2.725 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 2.725 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.725 * [taylor]: Taking taylor expansion of (* x 2) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [taylor]: Taking taylor expansion of 2 in x 2.725 * [backup-simplify]: Simplify 2 into 2 2.725 * [taylor]: Taking taylor expansion of y in x 2.725 * [backup-simplify]: Simplify y into y 2.725 * [taylor]: Taking taylor expansion of (fma x x (* y (fma x 2 y))) in x 2.726 * [taylor]: Rewrote expression to (+ (* x x) (* y (fma x 2 y))) 2.726 * [taylor]: Taking taylor expansion of (* x x) in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [taylor]: Taking taylor expansion of (* y (fma x 2 y)) in x 2.726 * [taylor]: Taking taylor expansion of y in x 2.726 * [backup-simplify]: Simplify y into y 2.726 * [taylor]: Taking taylor expansion of (fma x 2 y) in x 2.726 * [taylor]: Rewrote expression to (+ (* x 2) y) 2.726 * [taylor]: Taking taylor expansion of (* x 2) in x 2.726 * [taylor]: Taking taylor expansion of x in x 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [taylor]: Taking taylor expansion of 2 in x 2.726 * [backup-simplify]: Simplify 2 into 2 2.726 * [taylor]: Taking taylor expansion of y in x 2.726 * [backup-simplify]: Simplify y into y 2.727 * [backup-simplify]: Simplify (* 0 0) into 0 2.728 * [backup-simplify]: Simplify (* 0 2) into 0 2.728 * [backup-simplify]: Simplify (+ 0 y) into y 2.728 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.729 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.729 * [taylor]: Taking taylor expansion of y in y 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 2)) into 2 2.731 * [backup-simplify]: Simplify (+ 2 0) into 2 2.732 * [backup-simplify]: Simplify (+ (* y 2) (* 0 y)) into (* 2 y) 2.732 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 2.732 * [taylor]: Taking taylor expansion of (* 2 y) in y 2.732 * [taylor]: Taking taylor expansion of 2 in y 2.732 * [backup-simplify]: Simplify 2 into 2 2.732 * [taylor]: Taking taylor expansion of y in y 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (* 2 0) into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 2.735 * [backup-simplify]: Simplify (+ 0 0) into 0 2.735 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 2) (* 0 y))) into 0 2.736 * [backup-simplify]: Simplify (+ 1 0) into 1 2.736 * [taylor]: Taking taylor expansion of 1 in y 2.736 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.737 * [backup-simplify]: Simplify 2 into 2 2.737 * [backup-simplify]: Simplify (* 1 1) into 1 2.737 * [backup-simplify]: Simplify 1 into 1 2.738 * [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)))) 2.738 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (fma (/ 1 x) 2 (/ 1 y)))) into (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) 2.738 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) in (x y) around 0 2.738 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) in y 2.738 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) 2.738 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 2.739 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.739 * [taylor]: Taking taylor expansion of x in y 2.739 * [backup-simplify]: Simplify x into x 2.739 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.739 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.739 * [taylor]: Taking taylor expansion of x in y 2.739 * [backup-simplify]: Simplify x into x 2.739 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.739 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in y 2.739 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in y 2.739 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.739 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in y 2.739 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.739 * [taylor]: Taking taylor expansion of x in y 2.739 * [backup-simplify]: Simplify x into x 2.739 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.739 * [taylor]: Taking taylor expansion of 2 in y 2.739 * [backup-simplify]: Simplify 2 into 2 2.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.739 * [taylor]: Taking taylor expansion of y in y 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [taylor]: Taking taylor expansion of y in y 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (+ 0 1) into 1 2.741 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) in x 2.741 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) 2.741 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.742 * [taylor]: Taking taylor expansion of x in x 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (/ 1 1) into 1 2.742 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 2.742 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 2.742 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.742 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 2.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.742 * [taylor]: Taking taylor expansion of x in x 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.743 * [taylor]: Taking taylor expansion of 2 in x 2.743 * [backup-simplify]: Simplify 2 into 2 2.743 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.743 * [taylor]: Taking taylor expansion of y in x 2.743 * [backup-simplify]: Simplify y into y 2.743 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.743 * [taylor]: Taking taylor expansion of y in x 2.743 * [backup-simplify]: Simplify y into y 2.743 * [backup-simplify]: Simplify (* 1 2) into 2 2.744 * [backup-simplify]: Simplify (+ 2 0) into 2 2.744 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.744 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) in x 2.744 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ (fma (/ 1 x) 2 (/ 1 y)) y)) 2.744 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (/ 1 1) into 1 2.745 * [taylor]: Taking taylor expansion of (/ (fma (/ 1 x) 2 (/ 1 y)) y) in x 2.745 * [taylor]: Taking taylor expansion of (fma (/ 1 x) 2 (/ 1 y)) in x 2.745 * [taylor]: Rewrote expression to (+ (* (/ 1 x) 2) (/ 1 y)) 2.745 * [taylor]: Taking taylor expansion of (* (/ 1 x) 2) in x 2.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.745 * [taylor]: Taking taylor expansion of x in x 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [taylor]: Taking taylor expansion of 2 in x 2.746 * [backup-simplify]: Simplify 2 into 2 2.746 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.746 * [taylor]: Taking taylor expansion of y in x 2.746 * [backup-simplify]: Simplify y into y 2.746 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.746 * [taylor]: Taking taylor expansion of y in x 2.746 * [backup-simplify]: Simplify y into y 2.746 * [backup-simplify]: Simplify (* 1 2) into 2 2.747 * [backup-simplify]: Simplify (+ 2 0) into 2 2.747 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 2.747 * [backup-simplify]: Simplify (* 1 1) into 1 2.747 * [backup-simplify]: Simplify (+ 1 0) into 1 2.748 * [taylor]: Taking taylor expansion of 1 in y 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.750 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.750 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.750 * [taylor]: Taking taylor expansion of 2 in y 2.750 * [backup-simplify]: Simplify 2 into 2 2.750 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.750 * [taylor]: Taking taylor expansion of y in y 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 2)) into 0 2.754 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.754 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ 2 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.754 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.754 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.754 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.754 * [taylor]: Taking taylor expansion of y in y 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (* 1 1) into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (* 2 1) into 2 2.756 * [backup-simplify]: Simplify 2 into 2 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [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)))) 2.757 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (fma (/ 1 (- x)) 2 (/ 1 (- y))))) into (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) 2.757 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) in (x y) around 0 2.757 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) in y 2.757 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) 2.757 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 2.757 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.757 * [taylor]: Taking taylor expansion of -1 in y 2.757 * [backup-simplify]: Simplify -1 into -1 2.757 * [taylor]: Taking taylor expansion of x in y 2.757 * [backup-simplify]: Simplify x into x 2.757 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.757 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.757 * [taylor]: Taking taylor expansion of -1 in y 2.757 * [backup-simplify]: Simplify -1 into -1 2.757 * [taylor]: Taking taylor expansion of x in y 2.757 * [backup-simplify]: Simplify x into x 2.757 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.757 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in y 2.757 * [taylor]: Taking taylor expansion of -1 in y 2.758 * [backup-simplify]: Simplify -1 into -1 2.758 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in y 2.758 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in y 2.758 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.758 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in y 2.758 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.758 * [taylor]: Taking taylor expansion of -1 in y 2.758 * [backup-simplify]: Simplify -1 into -1 2.758 * [taylor]: Taking taylor expansion of x in y 2.758 * [backup-simplify]: Simplify x into x 2.758 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.758 * [taylor]: Taking taylor expansion of 2 in y 2.758 * [backup-simplify]: Simplify 2 into 2 2.758 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.758 * [taylor]: Taking taylor expansion of -1 in y 2.758 * [backup-simplify]: Simplify -1 into -1 2.758 * [taylor]: Taking taylor expansion of y in y 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify (/ -1 1) into -1 2.759 * [taylor]: Taking taylor expansion of y in y 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.759 * [backup-simplify]: Simplify (/ -1 1) into -1 2.760 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) in x 2.760 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) 2.760 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.760 * [taylor]: Taking taylor expansion of -1 in x 2.760 * [backup-simplify]: Simplify -1 into -1 2.760 * [taylor]: Taking taylor expansion of x in x 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (/ -1 1) into -1 2.760 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.760 * [taylor]: Taking taylor expansion of -1 in x 2.760 * [backup-simplify]: Simplify -1 into -1 2.760 * [taylor]: Taking taylor expansion of x in x 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (/ -1 1) into -1 2.761 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 2.761 * [taylor]: Taking taylor expansion of -1 in x 2.761 * [backup-simplify]: Simplify -1 into -1 2.761 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 2.761 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 2.761 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.761 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 2.761 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.761 * [taylor]: Taking taylor expansion of -1 in x 2.761 * [backup-simplify]: Simplify -1 into -1 2.761 * [taylor]: Taking taylor expansion of x in x 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (/ -1 1) into -1 2.762 * [taylor]: Taking taylor expansion of 2 in x 2.762 * [backup-simplify]: Simplify 2 into 2 2.762 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.762 * [taylor]: Taking taylor expansion of -1 in x 2.762 * [backup-simplify]: Simplify -1 into -1 2.762 * [taylor]: Taking taylor expansion of y in x 2.762 * [backup-simplify]: Simplify y into y 2.762 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.762 * [taylor]: Taking taylor expansion of y in x 2.762 * [backup-simplify]: Simplify y into y 2.762 * [backup-simplify]: Simplify (* -1 2) into -2 2.763 * [backup-simplify]: Simplify (+ -2 0) into -2 2.763 * [backup-simplify]: Simplify (/ -2 y) into (/ -2 y) 2.763 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) in x 2.763 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y))) 2.763 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 2.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.763 * [taylor]: Taking taylor expansion of -1 in x 2.763 * [backup-simplify]: Simplify -1 into -1 2.763 * [taylor]: Taking taylor expansion of x in x 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (/ -1 1) into -1 2.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.764 * [taylor]: Taking taylor expansion of -1 in x 2.764 * [backup-simplify]: Simplify -1 into -1 2.764 * [taylor]: Taking taylor expansion of x in x 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (/ -1 1) into -1 2.764 * [taylor]: Taking taylor expansion of (* -1 (/ (fma (/ -1 x) 2 (/ -1 y)) y)) in x 2.764 * [taylor]: Taking taylor expansion of -1 in x 2.764 * [backup-simplify]: Simplify -1 into -1 2.764 * [taylor]: Taking taylor expansion of (/ (fma (/ -1 x) 2 (/ -1 y)) y) in x 2.764 * [taylor]: Taking taylor expansion of (fma (/ -1 x) 2 (/ -1 y)) in x 2.764 * [taylor]: Rewrote expression to (+ (* (/ -1 x) 2) (/ -1 y)) 2.764 * [taylor]: Taking taylor expansion of (* (/ -1 x) 2) in x 2.764 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.765 * [taylor]: Taking taylor expansion of -1 in x 2.765 * [backup-simplify]: Simplify -1 into -1 2.765 * [taylor]: Taking taylor expansion of x in x 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.765 * [backup-simplify]: Simplify (/ -1 1) into -1 2.765 * [taylor]: Taking taylor expansion of 2 in x 2.765 * [backup-simplify]: Simplify 2 into 2 2.765 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.765 * [taylor]: Taking taylor expansion of -1 in x 2.765 * [backup-simplify]: Simplify -1 into -1 2.765 * [taylor]: Taking taylor expansion of y in x 2.765 * [backup-simplify]: Simplify y into y 2.765 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.765 * [taylor]: Taking taylor expansion of y in x 2.765 * [backup-simplify]: Simplify y into y 2.766 * [backup-simplify]: Simplify (* -1 2) into -2 2.766 * [backup-simplify]: Simplify (+ -2 0) into -2 2.766 * [backup-simplify]: Simplify (/ -2 y) into (/ -2 y) 2.767 * [backup-simplify]: Simplify (* -1 -1) into 1 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [taylor]: Taking taylor expansion of 1 in y 2.767 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.769 * [backup-simplify]: Simplify (* -1 (/ -2 y)) into (/ 2 y) 2.769 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 2.769 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 2.769 * [taylor]: Taking taylor expansion of 2 in y 2.769 * [backup-simplify]: Simplify 2 into 2 2.769 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.769 * [taylor]: Taking taylor expansion of y in y 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify (/ 1 1) into 1 2.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 2)) into 0 2.774 * [backup-simplify]: Simplify (+ 0 (/ -1 y)) into (- (/ 1 y)) 2.774 * [backup-simplify]: Simplify (- (/ (- (/ 1 y)) y) (+ (* (/ -2 y) (/ 0 y)))) into (- (/ 1 (pow y 2))) 2.774 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow y 2)))) (* 0 (/ -2 y))) into (/ 1 (pow y 2)) 2.775 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.775 * [taylor]: Taking taylor expansion of y in y 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.776 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [backup-simplify]: Simplify (* 2 1) into 2 2.776 * [backup-simplify]: Simplify 2 into 2 2.776 * [backup-simplify]: Simplify 1 into 1 2.777 * [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)))) 2.777 * * * [progress]: simplifying candidates 2.778 * [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)) (expm1 (fma x x (* y (fma x 2 y)))) (log1p (fma x x (* y (fma x 2 y)))) (* x x) (log (fma x x (* y (fma x 2 y)))) (exp (fma x x (* y (fma x 2 y)))) (* (cbrt (fma x x (* y (fma x 2 y)))) (cbrt (fma x x (* y (fma x 2 y))))) (cbrt (fma x x (* y (fma x 2 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)))) (sqrt (fma x x (* y (fma x 2 y)))) (sqrt (fma x x (* y (fma x 2 y)))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 2.779 * * [simplify]: Extracting # 0 : cost 0 2.779 * * [simplify]: Extracting # 1 : cost 0 2.779 * * [simplify]: Extracting # 2 : cost 0 2.779 * * [simplify]: Extracting # 3 : cost 0 2.779 * * [simplify]: Extracting # 4 : cost 0 2.780 * * [simplify]: Extracting # 5 : cost 0 2.780 * * [simplify]: Extracting # 6 : cost 0 2.780 * * [simplify]: iteration 0 : 54 enodes (cost 382 ) 2.805 * * [simplify]: Extracting # 0 : cost 0 2.805 * * [simplify]: Extracting # 1 : cost 0 2.805 * * [simplify]: Extracting # 2 : cost 0 2.805 * * [simplify]: iteration 1 : 110 enodes (cost 379 ) 2.870 * * [simplify]: Extracting # 0 : cost 0 2.871 * * [simplify]: Extracting # 1 : cost 0 2.872 * * [simplify]: Extracting # 2 : cost 0 2.872 * * [simplify]: Extracting # 3 : cost 0 2.873 * * [simplify]: Extracting # 4 : cost 0 2.874 * * [simplify]: iteration 2 : 440 enodes (cost 324 ) 3.708 * * [simplify]: Extracting # 0 : cost 0 3.717 * * [simplify]: Extracting # 1 : cost 0 3.725 * * [simplify]: Extracting # 2 : cost 0 3.734 * * [simplify]: Extracting # 3 : cost 0 3.741 * * [simplify]: Extracting # 4 : cost 0 3.749 * * [simplify]: iteration 3 : 3097 enodes (cost 316 ) 6.167 * * [simplify]: Extracting # 0 : cost 0 6.184 * * [simplify]: Extracting # 1 : cost 0 6.195 * * [simplify]: Extracting # 2 : cost 0 6.206 * * [simplify]: iteration done: 5000 enodes (cost 316 ) 6.206 * [simplify]: Simplified to: (expm1 (* y (fma x 2 y))) (log1p (* y (fma x 2 y))) (* y (fma x 2 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)) (* y (fma x 2 y)) (expm1 (fma x x (* y (fma x 2 y)))) (log1p (fma x x (* y (fma x 2 y)))) (* x x) (log (fma x x (* y (fma x 2 y)))) (exp (fma x x (* y (fma x 2 y)))) (* (cbrt (fma x x (* y (fma x 2 y)))) (cbrt (fma x x (* y (fma x 2 y))))) (cbrt (fma x x (* y (fma x 2 y)))) (pow (fma x x (* y (fma x 2 y))) 3) (sqrt (fma x x (* y (fma x 2 y)))) (sqrt (fma x x (* y (fma x 2 y)))) (* y (fma x 2 y)) (* y (fma x 2 y)) (* y (fma x 2 y)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) (fma y (fma x 2 y) (* x x)) 6.207 * * * [progress]: adding candidates to table 6.412 * * [progress]: iteration 3 / 4 6.412 * * * [progress]: picking best candidate 6.417 * * * * [pick]: Picked # 6.417 * * * [progress]: localizing error 6.433 * * * [progress]: generating rewritten candidates 6.433 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 6.467 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.508 * * * [progress]: generating series expansions 6.509 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 6.509 * [backup-simplify]: Simplify (* y (+ x y)) into (* y (+ x y)) 6.509 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 6.509 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 6.509 * [taylor]: Taking taylor expansion of y in x 6.509 * [backup-simplify]: Simplify y into y 6.509 * [taylor]: Taking taylor expansion of (+ x y) in x 6.509 * [taylor]: Taking taylor expansion of x in x 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [taylor]: Taking taylor expansion of y in x 6.509 * [backup-simplify]: Simplify y into y 6.509 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 6.509 * [taylor]: Taking taylor expansion of y in y 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [taylor]: Taking taylor expansion of (+ x y) in y 6.509 * [taylor]: Taking taylor expansion of x in y 6.509 * [backup-simplify]: Simplify x into x 6.509 * [taylor]: Taking taylor expansion of y in y 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 6.509 * [taylor]: Taking taylor expansion of y in y 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.509 * [taylor]: Taking taylor expansion of (+ x y) in y 6.509 * [taylor]: Taking taylor expansion of x in y 6.509 * [backup-simplify]: Simplify x into x 6.509 * [taylor]: Taking taylor expansion of y in y 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify 1 into 1 6.510 * [backup-simplify]: Simplify (+ x 0) into x 6.510 * [backup-simplify]: Simplify (* 0 x) into 0 6.510 * [taylor]: Taking taylor expansion of 0 in x 6.510 * [backup-simplify]: Simplify 0 into 0 6.510 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify (+ 0 1) into 1 6.511 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x 6.511 * [taylor]: Taking taylor expansion of x in x 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (+ 0 0) into 0 6.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1 6.512 * [taylor]: Taking taylor expansion of 1 in x 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify 1 into 1 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [backup-simplify]: Simplify (+ 0 0) into 0 6.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0 6.514 * [taylor]: Taking taylor expansion of 0 in x 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify (+ 0 0) into 0 6.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 x))))) into 0 6.516 * [taylor]: Taking taylor expansion of 0 in x 6.516 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify 0 into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 6.517 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 6.517 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 6.517 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 6.517 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.517 * [taylor]: Taking taylor expansion of y in x 6.517 * [backup-simplify]: Simplify y into y 6.517 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.517 * [taylor]: Taking taylor expansion of x in x 6.517 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify 1 into 1 6.517 * [backup-simplify]: Simplify (/ 1 1) into 1 6.517 * [taylor]: Taking taylor expansion of y in x 6.517 * [backup-simplify]: Simplify y into y 6.518 * [backup-simplify]: Simplify (+ 0 1) into 1 6.518 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.518 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 6.518 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.518 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.518 * [taylor]: Taking taylor expansion of y in y 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (/ 1 1) into 1 6.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.519 * [taylor]: Taking taylor expansion of x in y 6.519 * [backup-simplify]: Simplify x into x 6.519 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.519 * [taylor]: Taking taylor expansion of y in y 6.519 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (+ 1 0) into 1 6.520 * [backup-simplify]: Simplify (/ 1 1) into 1 6.520 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 6.520 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.520 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.520 * [taylor]: Taking taylor expansion of y in y 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 1 into 1 6.520 * [backup-simplify]: Simplify (/ 1 1) into 1 6.520 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.520 * [taylor]: Taking taylor expansion of x in y 6.520 * [backup-simplify]: Simplify x into x 6.520 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.520 * [taylor]: Taking taylor expansion of y in y 6.520 * [backup-simplify]: Simplify 0 into 0 6.521 * [backup-simplify]: Simplify 1 into 1 6.521 * [backup-simplify]: Simplify (+ 1 0) into 1 6.521 * [backup-simplify]: Simplify (/ 1 1) into 1 6.521 * [taylor]: Taking taylor expansion of 1 in x 6.521 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.522 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 6.523 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 6.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.523 * [taylor]: Taking taylor expansion of x in x 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (/ 1 1) into 1 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.525 * [backup-simplify]: Simplify (+ 0 0) into 0 6.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 6.526 * [taylor]: Taking taylor expansion of 0 in x 6.526 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.527 * [backup-simplify]: Simplify 0 into 0 6.527 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.529 * [backup-simplify]: Simplify (+ 0 0) into 0 6.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.531 * [taylor]: Taking taylor expansion of 0 in x 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.532 * [backup-simplify]: Simplify 0 into 0 6.532 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.533 * [backup-simplify]: Simplify (+ 0 0) into 0 6.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.535 * [taylor]: Taking taylor expansion of 0 in x 6.535 * [backup-simplify]: Simplify 0 into 0 6.535 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 6.536 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) y) 6.536 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 6.536 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 6.536 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.536 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.536 * [taylor]: Taking taylor expansion of y in x 6.536 * [backup-simplify]: Simplify y into y 6.536 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.536 * [taylor]: Taking taylor expansion of x in x 6.536 * [backup-simplify]: Simplify 0 into 0 6.536 * [backup-simplify]: Simplify 1 into 1 6.537 * [backup-simplify]: Simplify (/ 1 1) into 1 6.537 * [taylor]: Taking taylor expansion of y in x 6.537 * [backup-simplify]: Simplify y into y 6.537 * [backup-simplify]: Simplify (+ 0 1) into 1 6.537 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.537 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 6.537 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.537 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.537 * [taylor]: Taking taylor expansion of y in y 6.537 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (/ 1 1) into 1 6.538 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.538 * [taylor]: Taking taylor expansion of x in y 6.538 * [backup-simplify]: Simplify x into x 6.538 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.538 * [taylor]: Taking taylor expansion of y in y 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify 1 into 1 6.538 * [backup-simplify]: Simplify (+ 1 0) into 1 6.539 * [backup-simplify]: Simplify (/ 1 1) into 1 6.539 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 6.539 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.539 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.539 * [taylor]: Taking taylor expansion of y in y 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.539 * [backup-simplify]: Simplify (/ 1 1) into 1 6.539 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.539 * [taylor]: Taking taylor expansion of x in y 6.539 * [backup-simplify]: Simplify x into x 6.539 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.539 * [taylor]: Taking taylor expansion of y in y 6.539 * [backup-simplify]: Simplify 0 into 0 6.539 * [backup-simplify]: Simplify 1 into 1 6.540 * [backup-simplify]: Simplify (+ 1 0) into 1 6.540 * [backup-simplify]: Simplify (/ 1 1) into 1 6.540 * [taylor]: Taking taylor expansion of 1 in x 6.540 * [backup-simplify]: Simplify 1 into 1 6.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 6.541 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 6.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.541 * [taylor]: Taking taylor expansion of x in x 6.542 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify 1 into 1 6.542 * [backup-simplify]: Simplify (/ 1 1) into 1 6.542 * [backup-simplify]: Simplify 1 into 1 6.542 * [backup-simplify]: Simplify 1 into 1 6.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 6.543 * [backup-simplify]: Simplify (+ 0 0) into 0 6.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 6.544 * [taylor]: Taking taylor expansion of 0 in x 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.545 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.547 * [backup-simplify]: Simplify (+ 0 0) into 0 6.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.548 * [taylor]: Taking taylor expansion of 0 in x 6.548 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.549 * [backup-simplify]: Simplify 0 into 0 6.549 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.553 * [taylor]: Taking taylor expansion of 0 in x 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 6.554 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.554 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 6.554 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 6.554 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 6.554 * [taylor]: Taking taylor expansion of x in y 6.554 * [backup-simplify]: Simplify x into x 6.554 * [taylor]: Taking taylor expansion of (+ x y) in y 6.554 * [taylor]: Taking taylor expansion of x in y 6.554 * [backup-simplify]: Simplify x into x 6.554 * [taylor]: Taking taylor expansion of y in y 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 6.554 * [taylor]: Taking taylor expansion of x in x 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [taylor]: Taking taylor expansion of (+ x y) in x 6.554 * [taylor]: Taking taylor expansion of x in x 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [taylor]: Taking taylor expansion of y in x 6.554 * [backup-simplify]: Simplify y into y 6.554 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 6.554 * [taylor]: Taking taylor expansion of x in x 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [taylor]: Taking taylor expansion of (+ x y) in x 6.554 * [taylor]: Taking taylor expansion of x in x 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify 1 into 1 6.554 * [taylor]: Taking taylor expansion of y in x 6.554 * [backup-simplify]: Simplify y into y 6.555 * [backup-simplify]: Simplify (+ 0 y) into y 6.555 * [backup-simplify]: Simplify (* 0 y) into 0 6.555 * [taylor]: Taking taylor expansion of 0 in y 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify (+ 1 0) into 1 6.555 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 6.556 * [taylor]: Taking taylor expansion of y in y 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (+ 0 0) into 0 6.557 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 6.557 * [taylor]: Taking taylor expansion of 1 in y 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [backup-simplify]: Simplify 1 into 1 6.557 * [backup-simplify]: Simplify 0 into 0 6.557 * [backup-simplify]: Simplify (+ 0 0) into 0 6.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 6.558 * [taylor]: Taking taylor expansion of 0 in y 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify (+ 0 0) into 0 6.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 6.560 * [taylor]: Taking taylor expansion of 0 in y 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 6.561 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) x) 6.561 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 6.561 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 6.561 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.561 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.561 * [taylor]: Taking taylor expansion of y in y 6.561 * [backup-simplify]: Simplify 0 into 0 6.561 * [backup-simplify]: Simplify 1 into 1 6.561 * [backup-simplify]: Simplify (/ 1 1) into 1 6.562 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.562 * [taylor]: Taking taylor expansion of x in y 6.562 * [backup-simplify]: Simplify x into x 6.562 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.562 * [taylor]: Taking taylor expansion of x in y 6.562 * [backup-simplify]: Simplify x into x 6.562 * [backup-simplify]: Simplify (+ 1 0) into 1 6.562 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.562 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 6.562 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.562 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.562 * [taylor]: Taking taylor expansion of y in x 6.562 * [backup-simplify]: Simplify y into y 6.562 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.562 * [taylor]: Taking taylor expansion of x in x 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.563 * [backup-simplify]: Simplify (/ 1 1) into 1 6.563 * [taylor]: Taking taylor expansion of x in x 6.563 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify 1 into 1 6.563 * [backup-simplify]: Simplify (+ 0 1) into 1 6.564 * [backup-simplify]: Simplify (/ 1 1) into 1 6.564 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 6.564 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.564 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.564 * [taylor]: Taking taylor expansion of y in x 6.564 * [backup-simplify]: Simplify y into y 6.564 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.564 * [taylor]: Taking taylor expansion of x in x 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.564 * [backup-simplify]: Simplify (/ 1 1) into 1 6.564 * [taylor]: Taking taylor expansion of x in x 6.564 * [backup-simplify]: Simplify 0 into 0 6.564 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify (+ 0 1) into 1 6.565 * [backup-simplify]: Simplify (/ 1 1) into 1 6.565 * [taylor]: Taking taylor expansion of 1 in y 6.565 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.566 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.567 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 6.567 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.567 * [taylor]: Taking taylor expansion of y in y 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (/ 1 1) into 1 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 6.570 * [taylor]: Taking taylor expansion of 0 in y 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.572 * [backup-simplify]: Simplify (+ 0 0) into 0 6.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.573 * [taylor]: Taking taylor expansion of 0 in y 6.573 * [backup-simplify]: Simplify 0 into 0 6.573 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.574 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify (+ 0 0) into 0 6.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.578 * [taylor]: Taking taylor expansion of 0 in y 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 6.578 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) x) 6.578 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 6.578 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 6.578 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 6.578 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.579 * [taylor]: Taking taylor expansion of y in y 6.579 * [backup-simplify]: Simplify 0 into 0 6.579 * [backup-simplify]: Simplify 1 into 1 6.579 * [backup-simplify]: Simplify (/ 1 1) into 1 6.579 * [taylor]: Taking taylor expansion of (/ 1 x) in y 6.579 * [taylor]: Taking taylor expansion of x in y 6.579 * [backup-simplify]: Simplify x into x 6.579 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.579 * [taylor]: Taking taylor expansion of x in y 6.579 * [backup-simplify]: Simplify x into x 6.579 * [backup-simplify]: Simplify (+ 1 0) into 1 6.580 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.580 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 6.580 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.580 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.580 * [taylor]: Taking taylor expansion of y in x 6.580 * [backup-simplify]: Simplify y into y 6.580 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.580 * [taylor]: Taking taylor expansion of x in x 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (/ 1 1) into 1 6.580 * [taylor]: Taking taylor expansion of x in x 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.581 * [backup-simplify]: Simplify (+ 0 1) into 1 6.581 * [backup-simplify]: Simplify (/ 1 1) into 1 6.581 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 6.581 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 6.581 * [taylor]: Taking taylor expansion of (/ 1 y) in x 6.581 * [taylor]: Taking taylor expansion of y in x 6.581 * [backup-simplify]: Simplify y into y 6.581 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 6.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.581 * [taylor]: Taking taylor expansion of x in x 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 1 into 1 6.582 * [backup-simplify]: Simplify (/ 1 1) into 1 6.582 * [taylor]: Taking taylor expansion of x in x 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify 1 into 1 6.582 * [backup-simplify]: Simplify (+ 0 1) into 1 6.582 * [backup-simplify]: Simplify (/ 1 1) into 1 6.582 * [taylor]: Taking taylor expansion of 1 in y 6.583 * [backup-simplify]: Simplify 1 into 1 6.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 6.584 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 6.584 * [taylor]: Taking taylor expansion of (/ 1 y) in y 6.584 * [taylor]: Taking taylor expansion of y in y 6.584 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify 1 into 1 6.584 * [backup-simplify]: Simplify (/ 1 1) into 1 6.584 * [backup-simplify]: Simplify 1 into 1 6.584 * [backup-simplify]: Simplify 1 into 1 6.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 6.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.586 * [backup-simplify]: Simplify (+ 0 0) into 0 6.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 6.587 * [taylor]: Taking taylor expansion of 0 in y 6.587 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.590 * [backup-simplify]: Simplify (+ 0 0) into 0 6.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.591 * [taylor]: Taking taylor expansion of 0 in y 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.592 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 6.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.594 * [backup-simplify]: Simplify (+ 0 0) into 0 6.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.596 * [taylor]: Taking taylor expansion of 0 in y 6.596 * [backup-simplify]: Simplify 0 into 0 6.596 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 6.597 * * * [progress]: simplifying candidates 6.598 * [simplify]: Simplifying: (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 6.600 * * [simplify]: Extracting # 0 : cost 0 6.600 * * [simplify]: Extracting # 1 : cost 0 6.600 * * [simplify]: Extracting # 2 : cost 0 6.600 * * [simplify]: Extracting # 3 : cost 0 6.600 * * [simplify]: Extracting # 4 : cost 0 6.600 * * [simplify]: Extracting # 5 : cost 0 6.601 * * [simplify]: Extracting # 6 : cost 0 6.601 * * [simplify]: iteration 0 : 72 enodes (cost 412 ) 6.647 * * [simplify]: Extracting # 0 : cost 0 6.648 * * [simplify]: Extracting # 1 : cost 0 6.648 * * [simplify]: Extracting # 2 : cost 0 6.649 * * [simplify]: Extracting # 3 : cost 0 6.649 * * [simplify]: iteration 1 : 229 enodes (cost 398 ) 6.897 * * [simplify]: Extracting # 0 : cost 0 6.899 * * [simplify]: Extracting # 1 : cost 0 6.902 * * [simplify]: Extracting # 2 : cost 0 6.905 * * [simplify]: Extracting # 3 : cost 0 6.908 * * [simplify]: Extracting # 4 : cost 0 6.911 * * [simplify]: iteration 2 : 1398 enodes (cost 354 ) 7.847 * * [simplify]: Extracting # 0 : cost 0 7.854 * * [simplify]: Extracting # 1 : cost 0 7.868 * * [simplify]: Extracting # 2 : cost 0 7.882 * * [simplify]: Extracting # 3 : cost 0 7.906 * * [simplify]: Extracting # 4 : cost 0 7.922 * * [simplify]: iteration done: 5001 enodes (cost 354 ) 7.922 * [simplify]: Simplified to: (expm1 (* y (+ x y))) (log1p (* y (+ x y))) (* y (+ x y)) (log (* y (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (pow y 3) (pow (+ x y) 3)) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (pow (* y (+ x y)) 3) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) y y (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (* x (+ x y)) (log (* x (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (pow x 3) (pow (+ x y) 3)) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (pow (* x (+ x y)) 3) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) x x (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* y (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ y x)) (* x (+ y x)) (* x (+ y x)) 7.923 * * * [progress]: adding candidates to table 8.222 * [progress]: [Phase 3 of 3] Extracting. 8.223 * * [regime]: Finding splitpoints for: (# #) 8.223 * * * [regime-changes]: Trying 2 branch expressions: (y x) 8.223 * * * * [regimes]: Trying to branch on y from (# #) 8.280 * * * * [regimes]: Trying to branch on x from (# #) 8.334 * * * [regime]: Found split indices: #