0.512 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.072 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.112 * [simplify]: Simplifying: (* 0.5 (- (* x x) y)) 0.114 * * [simplify]: Extracting # 0 : cost 0 0.115 * * [simplify]: Extracting # 1 : cost 0 0.115 * * [simplify]: Extracting # 2 : cost 0 0.115 * * [simplify]: Extracting # 3 : cost 0 0.115 * * [simplify]: Extracting # 4 : cost 0 0.115 * * [simplify]: Extracting # 5 : cost 0 0.115 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.125 * * [simplify]: Extracting # 0 : cost 0 0.125 * * [simplify]: Extracting # 1 : cost 0 0.125 * * [simplify]: Extracting # 2 : cost 0 0.125 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.129 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: Extracting # 1 : cost 0 0.130 * * [simplify]: Extracting # 2 : cost 0 0.130 * * [simplify]: iteration 2 : 16 enodes (cost 7 ) 0.136 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: Extracting # 1 : cost 0 0.137 * * [simplify]: Extracting # 2 : cost 0 0.137 * * [simplify]: iteration 3 : 26 enodes (cost 7 ) 0.180 * * [simplify]: Extracting # 0 : cost 0 0.180 * * [simplify]: Extracting # 1 : cost 0 0.180 * * [simplify]: Extracting # 2 : cost 0 0.181 * * [simplify]: iteration 4 : 33 enodes (cost 7 ) 0.408 * * [simplify]: Extracting # 0 : cost 0 0.408 * * [simplify]: iteration done: 33 enodes (cost 7 ) 0.408 * [simplify]: Simplified to: (* 0.5 (- (* x x) y)) 0.410 * * [progress]: iteration 1 / 4 0.410 * * * [progress]: picking best candidate 0.413 * * * * [pick]: Picked # 0.413 * * * [progress]: localizing error 0.423 * * * [progress]: generating rewritten candidates 0.423 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.442 * * * [progress]: generating series expansions 0.443 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.450 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 0.450 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 0.451 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 0.451 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [backup-simplify]: Simplify y into y 0.453 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 0.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [taylor]: Taking taylor expansion of y in x 0.453 * [backup-simplify]: Simplify y into y 0.453 * [backup-simplify]: Simplify (- y) into (- y) 0.454 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.454 * [taylor]: Taking taylor expansion of (- y) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (- 0) into 0 0.454 * [backup-simplify]: Simplify 0 into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify (- 1) into -1 0.456 * [backup-simplify]: Simplify -1 into -1 0.457 * [backup-simplify]: Simplify (* 1 1) into 1 0.457 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [taylor]: Taking taylor expansion of 1 in y 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify 1 into 1 0.458 * [backup-simplify]: Simplify 0 into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 0.461 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.461 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [backup-simplify]: Simplify x into x 0.462 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [backup-simplify]: Simplify y into y 0.464 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.464 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (/ 1 1) into 1 0.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [backup-simplify]: Simplify y into y 0.465 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [taylor]: Taking taylor expansion of 1 in y 0.465 * [backup-simplify]: Simplify 1 into 1 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.469 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.469 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.470 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [backup-simplify]: Simplify (- 1) into -1 0.470 * [backup-simplify]: Simplify -1 into -1 0.470 * [backup-simplify]: Simplify 0 into 0 0.470 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.473 * [backup-simplify]: Simplify (- 0) into 0 0.473 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.477 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 0.479 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.479 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [backup-simplify]: Simplify x into x 0.479 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [backup-simplify]: Simplify y into y 0.481 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.482 * [taylor]: Taking taylor expansion of y in x 0.482 * [backup-simplify]: Simplify y into y 0.482 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.482 * [backup-simplify]: Simplify (+ 1 0) into 1 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.482 * [backup-simplify]: Simplify 1 into 1 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [taylor]: Taking taylor expansion of 0 in y 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [backup-simplify]: Simplify 1 into 1 0.486 * [backup-simplify]: Simplify 0 into 0 0.486 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.489 * [taylor]: Taking taylor expansion of 0 in y 0.489 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 0 into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 0.493 * * * [progress]: simplifying candidates 0.494 * [simplify]: Simplifying: (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x 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)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 0.494 * * [simplify]: Extracting # 0 : cost 0 0.494 * * [simplify]: Extracting # 1 : cost 0 0.495 * * [simplify]: Extracting # 2 : cost 0 0.495 * * [simplify]: Extracting # 3 : cost 0 0.495 * * [simplify]: Extracting # 4 : cost 0 0.495 * * [simplify]: Extracting # 5 : cost 0 0.495 * * [simplify]: iteration 0 : 32 enodes (cost 136 ) 0.508 * * [simplify]: Extracting # 0 : cost 0 0.508 * * [simplify]: Extracting # 1 : cost 0 0.508 * * [simplify]: Extracting # 2 : cost 0 0.508 * * [simplify]: Extracting # 3 : cost 0 0.508 * * [simplify]: Extracting # 4 : cost 0 0.509 * * [simplify]: iteration 1 : 73 enodes (cost 133 ) 0.556 * * [simplify]: Extracting # 0 : cost 0 0.556 * * [simplify]: Extracting # 1 : cost 0 0.556 * * [simplify]: Extracting # 2 : cost 0 0.557 * * [simplify]: Extracting # 3 : cost 0 0.557 * * [simplify]: Extracting # 4 : cost 0 0.557 * * [simplify]: iteration 2 : 163 enodes (cost 113 ) 0.743 * * [simplify]: Extracting # 0 : cost 0 0.744 * * [simplify]: Extracting # 1 : cost 0 0.745 * * [simplify]: Extracting # 2 : cost 0 0.746 * * [simplify]: Extracting # 3 : cost 0 0.747 * * [simplify]: Extracting # 4 : cost 0 0.747 * * [simplify]: iteration 3 : 332 enodes (cost 113 ) 0.863 * * [simplify]: Extracting # 0 : cost 0 0.864 * * [simplify]: Extracting # 1 : cost 0 0.864 * * [simplify]: Extracting # 2 : cost 0 0.865 * * [simplify]: Extracting # 3 : cost 0 0.866 * * [simplify]: Extracting # 4 : cost 0 0.866 * * [simplify]: iteration 4 : 769 enodes (cost 113 ) 1.464 * * [simplify]: Extracting # 0 : cost 0 1.466 * * [simplify]: Extracting # 1 : cost 0 1.469 * * [simplify]: Extracting # 2 : cost 0 1.471 * * [simplify]: Extracting # 3 : cost 0 1.473 * * [simplify]: Extracting # 4 : cost 0 1.475 * * [simplify]: iteration 5 : 2422 enodes (cost 113 ) 2.670 * * [simplify]: Extracting # 0 : cost 0 2.680 * * [simplify]: Extracting # 1 : cost 0 2.692 * * [simplify]: Extracting # 2 : cost 0 2.702 * * [simplify]: Extracting # 3 : cost 0 2.712 * * [simplify]: Extracting # 4 : cost 0 2.729 * * [simplify]: iteration done: 5000 enodes (cost 113 ) 2.729 * [simplify]: Simplified to: (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (* (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)) (- (pow x 6) (pow y 3)) (+ (* y (+ (* x x) y)) (pow x 4)) (- y) (- (pow x 4) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (* x x) y) (- (* x x) y) (- (* x x) y) 2.730 * * * [progress]: adding candidates to table 2.785 * * [progress]: iteration 2 / 4 2.785 * * * [progress]: picking best candidate 2.788 * * * * [pick]: Picked # 2.788 * * * [progress]: localizing error 2.805 * * * [progress]: generating rewritten candidates 2.805 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 2.884 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1) 2.892 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1) 2.906 * * * [progress]: generating series expansions 2.907 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 2.907 * [backup-simplify]: Simplify (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) into (- (pow x 2) y) 2.907 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 2.907 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 2.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.907 * [taylor]: Taking taylor expansion of x in y 2.907 * [backup-simplify]: Simplify x into x 2.907 * [taylor]: Taking taylor expansion of y in y 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 2.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [taylor]: Taking taylor expansion of y in x 2.907 * [backup-simplify]: Simplify y into y 2.907 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 2.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.907 * [taylor]: Taking taylor expansion of x in x 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [taylor]: Taking taylor expansion of y in x 2.907 * [backup-simplify]: Simplify y into y 2.907 * [backup-simplify]: Simplify (- y) into (- y) 2.907 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.907 * [taylor]: Taking taylor expansion of (- y) in y 2.907 * [taylor]: Taking taylor expansion of y in y 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (- 0) into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (- 0) into 0 2.908 * [backup-simplify]: Simplify (+ 0 0) into 0 2.908 * [taylor]: Taking taylor expansion of 0 in y 2.908 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (- 1) into -1 2.909 * [backup-simplify]: Simplify -1 into -1 2.909 * [backup-simplify]: Simplify (* 1 1) into 1 2.909 * [backup-simplify]: Simplify (- 0) into 0 2.909 * [backup-simplify]: Simplify (+ 1 0) into 1 2.910 * [taylor]: Taking taylor expansion of 1 in y 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.911 * [backup-simplify]: Simplify (- 0) into 0 2.911 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [taylor]: Taking taylor expansion of 0 in y 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (- 0) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 2.912 * [backup-simplify]: Simplify (* (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 y))) (sqrt (- (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (- (/ 1 (pow x 2)) (/ 1 y)) 2.912 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.912 * [taylor]: Taking taylor expansion of x in y 2.912 * [backup-simplify]: Simplify x into x 2.912 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.912 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.912 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.912 * [taylor]: Taking taylor expansion of y in y 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.913 * [taylor]: Taking taylor expansion of y in x 2.913 * [backup-simplify]: Simplify y into y 2.913 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.913 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.914 * [taylor]: Taking taylor expansion of y in x 2.914 * [backup-simplify]: Simplify y into y 2.914 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [taylor]: Taking taylor expansion of 1 in y 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [taylor]: Taking taylor expansion of 0 in y 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.916 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.916 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.916 * [taylor]: Taking taylor expansion of y in y 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.917 * [backup-simplify]: Simplify (/ 1 1) into 1 2.917 * [backup-simplify]: Simplify (- 1) into -1 2.917 * [backup-simplify]: Simplify -1 into -1 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.919 * [backup-simplify]: Simplify (- 0) into 0 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [taylor]: Taking taylor expansion of 0 in y 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (- 0) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.922 * [backup-simplify]: Simplify (- 0) into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [taylor]: Taking taylor expansion of 0 in y 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 2.922 * [backup-simplify]: Simplify (* (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 2.922 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.923 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.923 * [taylor]: Taking taylor expansion of x in y 2.923 * [backup-simplify]: Simplify x into x 2.923 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.923 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.923 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.923 * [taylor]: Taking taylor expansion of y in y 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (* 1 1) into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [backup-simplify]: Simplify y into y 2.924 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.924 * [taylor]: Taking taylor expansion of x in x 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (* 1 1) into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [backup-simplify]: Simplify y into y 2.924 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.925 * [backup-simplify]: Simplify (+ 1 0) into 1 2.925 * [taylor]: Taking taylor expansion of 1 in y 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ 0 0) into 0 2.926 * [taylor]: Taking taylor expansion of 0 in y 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.927 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.927 * [taylor]: Taking taylor expansion of y in y 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (/ 1 1) into 1 2.927 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.929 * [taylor]: Taking taylor expansion of 0 in y 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.931 * [taylor]: Taking taylor expansion of 0 in y 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 2.932 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1) 2.932 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 2.932 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 2.932 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 2.932 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.932 * [taylor]: Taking taylor expansion of x in y 2.932 * [backup-simplify]: Simplify x into x 2.932 * [taylor]: Taking taylor expansion of y in y 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 2.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.932 * [taylor]: Taking taylor expansion of x in x 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [taylor]: Taking taylor expansion of y in x 2.932 * [backup-simplify]: Simplify y into y 2.932 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 2.932 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.932 * [taylor]: Taking taylor expansion of x in x 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [taylor]: Taking taylor expansion of y in x 2.932 * [backup-simplify]: Simplify y into y 2.932 * [backup-simplify]: Simplify (- y) into (- y) 2.932 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.932 * [taylor]: Taking taylor expansion of (- y) in y 2.932 * [taylor]: Taking taylor expansion of y in y 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (- 0) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (- 0) into 0 2.933 * [backup-simplify]: Simplify (+ 0 0) into 0 2.933 * [taylor]: Taking taylor expansion of 0 in y 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (- 1) into -1 2.933 * [backup-simplify]: Simplify -1 into -1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.934 * [backup-simplify]: Simplify (- 0) into 0 2.934 * [backup-simplify]: Simplify (+ 1 0) into 1 2.934 * [taylor]: Taking taylor expansion of 1 in y 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify (- 0) into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ 0 0) into 0 2.935 * [taylor]: Taking taylor expansion of 0 in y 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify (- 0) into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 2.936 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 2.936 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.936 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.936 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.936 * [taylor]: Taking taylor expansion of x in y 2.936 * [backup-simplify]: Simplify x into x 2.936 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.936 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.936 * [taylor]: Taking taylor expansion of y in y 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [backup-simplify]: Simplify (* 1 1) into 1 2.937 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.937 * [taylor]: Taking taylor expansion of y in x 2.937 * [backup-simplify]: Simplify y into y 2.937 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.937 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (* 1 1) into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.938 * [taylor]: Taking taylor expansion of y in x 2.938 * [backup-simplify]: Simplify y into y 2.938 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.938 * [backup-simplify]: Simplify (+ 1 0) into 1 2.938 * [taylor]: Taking taylor expansion of 1 in y 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (+ 0 0) into 0 2.939 * [taylor]: Taking taylor expansion of 0 in y 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.941 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.941 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.941 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.941 * [taylor]: Taking taylor expansion of y in y 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [backup-simplify]: Simplify (- 1) into -1 2.941 * [backup-simplify]: Simplify -1 into -1 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.943 * [taylor]: Taking taylor expansion of 0 in y 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (- 0) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.945 * [taylor]: Taking taylor expansion of 0 in y 2.945 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 2.946 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 2.946 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.946 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.946 * [taylor]: Taking taylor expansion of x in y 2.946 * [backup-simplify]: Simplify x into x 2.946 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.946 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.946 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.946 * [taylor]: Taking taylor expansion of y in y 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.947 * [taylor]: Taking taylor expansion of x in x 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (* 1 1) into 1 2.947 * [backup-simplify]: Simplify (/ 1 1) into 1 2.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.947 * [taylor]: Taking taylor expansion of y in x 2.947 * [backup-simplify]: Simplify y into y 2.947 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.947 * [taylor]: Taking taylor expansion of x in x 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (* 1 1) into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.948 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.948 * [taylor]: Taking taylor expansion of y in x 2.948 * [backup-simplify]: Simplify y into y 2.948 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.948 * [backup-simplify]: Simplify (+ 1 0) into 1 2.948 * [taylor]: Taking taylor expansion of 1 in y 2.948 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.949 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [taylor]: Taking taylor expansion of 0 in y 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.950 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.951 * [taylor]: Taking taylor expansion of y in y 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [backup-simplify]: Simplify (/ 1 1) into 1 2.951 * [backup-simplify]: Simplify 1 into 1 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [taylor]: Taking taylor expansion of 0 in y 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [taylor]: Taking taylor expansion of 0 in y 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 2.955 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1) 2.955 * [backup-simplify]: Simplify (- (* x x) y) into (- (pow x 2) y) 2.955 * [approximate]: Taking taylor expansion of (- (pow x 2) y) in (x y) around 0 2.955 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in y 2.955 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.955 * [taylor]: Taking taylor expansion of x in y 2.955 * [backup-simplify]: Simplify x into x 2.955 * [taylor]: Taking taylor expansion of y in y 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 2.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of y in x 2.955 * [backup-simplify]: Simplify y into y 2.955 * [taylor]: Taking taylor expansion of (- (pow x 2) y) in x 2.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 1 into 1 2.955 * [taylor]: Taking taylor expansion of y in x 2.955 * [backup-simplify]: Simplify y into y 2.955 * [backup-simplify]: Simplify (- y) into (- y) 2.955 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.955 * [taylor]: Taking taylor expansion of (- y) in y 2.955 * [taylor]: Taking taylor expansion of y in y 2.955 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 1 into 1 2.956 * [backup-simplify]: Simplify (- 0) into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (- 0) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [taylor]: Taking taylor expansion of 0 in y 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify (- 1) into -1 2.957 * [backup-simplify]: Simplify -1 into -1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.957 * [backup-simplify]: Simplify (- 0) into 0 2.957 * [backup-simplify]: Simplify (+ 1 0) into 1 2.957 * [taylor]: Taking taylor expansion of 1 in y 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [taylor]: Taking taylor expansion of 0 in y 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -1 (* y 1))) into (- (pow x 2) y) 2.960 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (- (/ 1 (pow x 2)) (/ 1 y)) 2.960 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.960 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.960 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.960 * [taylor]: Taking taylor expansion of x in y 2.960 * [backup-simplify]: Simplify x into x 2.960 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.960 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.960 * [taylor]: Taking taylor expansion of y in y 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.961 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.961 * [taylor]: Taking taylor expansion of x in x 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (* 1 1) into 1 2.961 * [backup-simplify]: Simplify (/ 1 1) into 1 2.961 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.961 * [taylor]: Taking taylor expansion of y in x 2.961 * [backup-simplify]: Simplify y into y 2.962 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.962 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (* 1 1) into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.963 * [taylor]: Taking taylor expansion of y in x 2.963 * [backup-simplify]: Simplify y into y 2.963 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.963 * [backup-simplify]: Simplify (+ 1 0) into 1 2.963 * [taylor]: Taking taylor expansion of 1 in y 2.963 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [taylor]: Taking taylor expansion of 0 in y 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.967 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.967 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 2.967 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.967 * [taylor]: Taking taylor expansion of y in y 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (/ 1 1) into 1 2.968 * [backup-simplify]: Simplify (- 1) into -1 2.968 * [backup-simplify]: Simplify -1 into -1 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.971 * [backup-simplify]: Simplify (- 0) into 0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [taylor]: Taking taylor expansion of 0 in y 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- 0) into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.975 * [backup-simplify]: Simplify (- 0) into 0 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [taylor]: Taking taylor expansion of 0 in y 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) y) 2.976 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 2.976 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 2.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 2.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.976 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.976 * [taylor]: Taking taylor expansion of x in y 2.976 * [backup-simplify]: Simplify x into x 2.976 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.976 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.976 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.976 * [taylor]: Taking taylor expansion of y in y 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.977 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.977 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.977 * [taylor]: Taking taylor expansion of x in x 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (* 1 1) into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.978 * [taylor]: Taking taylor expansion of y in x 2.978 * [backup-simplify]: Simplify y into y 2.978 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.978 * [taylor]: Taking taylor expansion of x in x 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (* 1 1) into 1 2.979 * [backup-simplify]: Simplify (/ 1 1) into 1 2.979 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.979 * [taylor]: Taking taylor expansion of y in x 2.979 * [backup-simplify]: Simplify y into y 2.979 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.980 * [backup-simplify]: Simplify (+ 1 0) into 1 2.980 * [taylor]: Taking taylor expansion of 1 in y 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [taylor]: Taking taylor expansion of 0 in y 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.984 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.984 * [taylor]: Taking taylor expansion of y in y 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.987 * [backup-simplify]: Simplify (+ 0 0) into 0 2.987 * [taylor]: Taking taylor expansion of 0 in y 2.987 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.990 * [taylor]: Taking taylor expansion of 0 in y 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) y) 2.991 * * * [progress]: simplifying candidates 2.993 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (- (* x x) y) (- (* x x) y)) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (- (* x x) y) (- (* x x) y)) (+ 1 1) (+ (log (sqrt (- (* x x) y))) (log (sqrt (- (* x x) y)))) (log (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (exp (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (sqrt (- (* x x) y)))) (* (cbrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (cbrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))))) (cbrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (* (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (- (* x x) y) (- (* x x) y)) (sqrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (sqrt (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))) (* (sqrt (- (pow (* x x) 3) (pow y 3))) (sqrt (- (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))) (* (sqrt (- (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))) (sqrt (+ (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y)))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y)))) (* (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y)))) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (* (sqrt (cbrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (+ x (sqrt y))) (sqrt (+ x (sqrt y)))) (* (sqrt (- x (sqrt y))) (sqrt (- x (sqrt y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* 1 1) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (sqrt (- (* x x) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (- (* x x) y)) (* (cbrt (sqrt (- (* x x) y))) (cbrt (sqrt (- (* x x) y))))) (* (sqrt (- (* x x) y)) (sqrt (* (cbrt (- (* x x) y)) (cbrt (- (* x x) y))))) (* (sqrt (- (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (- (* x x) y)) (sqrt 1)) (* (sqrt (- (* x x) y)) (sqrt (+ x (sqrt y)))) (* (sqrt (- (* x x) y)) (sqrt (sqrt (- (* x x) y)))) (* (sqrt (- (* x x) y)) 1) (* (cbrt (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (sqrt (cbrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (- x (sqrt y))) (sqrt (- (* x x) y))) (* (sqrt (sqrt (- (* x x) y))) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (pow (* x x) 3) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (pow (* x x) 3) (pow y 3))) (sqrt (- (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* x x) y))) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x 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)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (/ (exp (* x x)) (exp y)) (log (- (* x x) y)) (exp (- (* x 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)) (- (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))) (- y) (- (* (* x x) (* x x)) (* y y)) (+ (* x x) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 2.996 * * [simplify]: Extracting # 0 : cost 0 2.997 * * [simplify]: Extracting # 1 : cost 0 2.997 * * [simplify]: Extracting # 2 : cost 0 2.997 * * [simplify]: Extracting # 3 : cost 0 2.997 * * [simplify]: Extracting # 4 : cost 0 2.998 * * [simplify]: Extracting # 5 : cost 0 2.998 * * [simplify]: Extracting # 6 : cost 0 2.998 * * [simplify]: iteration 0 : 97 enodes (cost 1410 ) 3.027 * * [simplify]: Extracting # 0 : cost 0 3.028 * * [simplify]: Extracting # 1 : cost 0 3.028 * * [simplify]: Extracting # 2 : cost 0 3.028 * * [simplify]: Extracting # 3 : cost 0 3.028 * * [simplify]: iteration 1 : 168 enodes (cost 962 ) 3.065 * * [simplify]: Extracting # 0 : cost 0 3.066 * * [simplify]: Extracting # 1 : cost 0 3.066 * * [simplify]: Extracting # 2 : cost 0 3.067 * * [simplify]: Extracting # 3 : cost 0 3.067 * * [simplify]: Extracting # 4 : cost 0 3.067 * * [simplify]: Extracting # 5 : cost 0 3.068 * * [simplify]: iteration 2 : 426 enodes (cost 826 ) 3.337 * * [simplify]: Extracting # 0 : cost 0 3.338 * * [simplify]: Extracting # 1 : cost 0 3.339 * * [simplify]: Extracting # 2 : cost 0 3.340 * * [simplify]: Extracting # 3 : cost 0 3.341 * * [simplify]: Extracting # 4 : cost 0 3.342 * * [simplify]: iteration 3 : 1092 enodes (cost 799 ) 4.711 * * [simplify]: Extracting # 0 : cost 0 4.715 * * [simplify]: Extracting # 1 : cost 0 4.717 * * [simplify]: Extracting # 2 : cost 0 4.720 * * [simplify]: Extracting # 3 : cost 0 4.723 * * [simplify]: Extracting # 4 : cost 0 4.728 * * [simplify]: iteration 4 : 3482 enodes (cost 775 ) 6.327 * * [simplify]: Extracting # 0 : cost 0 6.335 * * [simplify]: Extracting # 1 : cost 0 6.352 * * [simplify]: Extracting # 2 : cost 0 6.361 * * [simplify]: Extracting # 3 : cost 0 6.370 * * [simplify]: iteration done: 5000 enodes (cost 769 ) 6.371 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (- (* x x) y)) 4) (- (pow x 2) y) (pow (sqrt (- (* x x) y)) 4) 2 (log (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (pow (- (* x x) y) 3) (pow (sqrt (cbrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (pow (sqrt (- (* x x) y)) 4) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (- (pow x 6) (pow y 3)) (+ (* y (+ (* x x) y)) (pow x 4)) (* (sqrt (- (pow x 6) (pow y 3))) (sqrt (- (pow x 4) (* y y)))) (* (sqrt (+ (* y (+ (* x x) y)) (pow x 4))) (sqrt (+ (* x x) y))) (* (sqrt (- (pow x 6) (pow y 3))) (sqrt (- (pow x 4) (* y y)))) (* (sqrt (+ (* y (+ (* x x) y)) (pow x 4))) (sqrt (+ (* x x) y))) (- (pow x 4) (* y y)) (+ (pow x 2) y) (pow (cbrt (sqrt (- (* x x) y))) 4) (pow (cbrt (sqrt (- (* x x) y))) 2) (pow (sqrt (cbrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) 1 (- (pow x 2) y) (+ x (sqrt y)) (- x (sqrt y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) 1 (- (pow x 2) y) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) 1 2 1 (pow (cbrt (sqrt (- (* x x) y))) 5) (* (fabs (cbrt (- (* x x) y))) (sqrt (- (* x x) y))) (pow (sqrt (sqrt (- (* x x) y))) 3) (sqrt (- (pow x 2) y)) (* (sqrt (- (* x x) y)) (sqrt (+ x (sqrt y)))) (pow (sqrt (sqrt (- (* x x) y))) 3) (sqrt (- (pow x 2) y)) (pow (cbrt (sqrt (- (* x x) y))) 4) (* (sqrt (cbrt (- (* x x) y))) (sqrt (- (* x x) y))) (pow (sqrt (sqrt (- (* x x) y))) 3) (- (pow x 2) y) (* (sqrt (- x (sqrt y))) (sqrt (- (* x x) y))) (pow (sqrt (sqrt (- (* x x) y))) 3) (- (pow x 2) y) (* (sqrt (- (* x x) y)) (sqrt (- (pow x 6) (pow y 3)))) (* (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y))) (* (sqrt (- (* x x) y)) (sqrt (- (pow x 6) (pow y 3)))) (* (sqrt (- (pow x 4) (* y y))) (sqrt (- (* x x) y))) (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (pow (sqrt (cbrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (- (pow x 6) (pow y 3)) (+ (* y (+ (* x x) y)) (pow x 4)) (- y) (- (pow x 4) (* y y)) (+ (pow x 2) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (exp (- (* x x) y)) (log (- (* x x) y)) (exp (- (* x x) y)) (pow (sqrt (cbrt (- (* x x) y))) 4) (cbrt (- (* x x) y)) (pow (- (* x x) y) 3) (sqrt (- (pow x 2) y)) (sqrt (- (pow x 2) y)) (- (pow x 6) (pow y 3)) (+ (* y (+ (* x x) y)) (pow x 4)) (- y) (- (pow x 4) (* y y)) (+ (pow x 2) y) (+ x (sqrt y)) (- x (sqrt y)) (- y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) (- (pow x 2) y) 6.372 * * * [progress]: adding candidates to table 6.677 * [progress]: [Phase 3 of 3] Extracting. 6.677 * * [regime]: Finding splitpoints for: (# #) 6.679 * * * [regime-changes]: Trying 5 branch expressions: ((* x x) (- (* x x) y) (* 0.5 (- (* x x) y)) y x) 6.679 * * * * [regimes]: Trying to branch on (* x x) from (# #) 6.693 * * * * [regimes]: Trying to branch on (- (* x x) y) from (# #) 6.705 * * * * [regimes]: Trying to branch on (* 0.5 (- (* x x) y)) from (# #) 6.721 * * * * [regimes]: Trying to branch on y from (# #) 6.744 * * * * [regimes]: Trying to branch on x from (# #) 6.767 * * * [regime]: Found split indices: #