44.090 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (exp (* (* x y) y)) 0.025 * * [simplify]: iteration 0: 5 enodes 0.026 * * [simplify]: iteration 1: 11 enodes 0.028 * * [simplify]: iteration 2: 20 enodes 0.030 * * [simplify]: iteration 3: 34 enodes 0.037 * * [simplify]: iteration 4: 69 enodes 0.056 * * [simplify]: iteration 5: 157 enodes 0.103 * * [simplify]: iteration 6: 375 enodes 0.312 * * [simplify]: iteration 7: 1460 enodes 1.612 * * [simplify]: iteration complete: 5002 enodes 1.612 * * [simplify]: Extracting #0: cost 1 inf + 0 1.612 * * [simplify]: Extracting #1: cost 157 inf + 0 1.616 * * [simplify]: Extracting #2: cost 661 inf + 432 1.625 * * [simplify]: Extracting #3: cost 1356 inf + 6574 1.653 * * [simplify]: Extracting #4: cost 883 inf + 88405 1.710 * * [simplify]: Extracting #5: cost 309 inf + 356766 1.802 * * [simplify]: Extracting #6: cost 32 inf + 603720 1.919 * * [simplify]: Extracting #7: cost 0 inf + 624166 2.031 * * [simplify]: Extracting #8: cost 0 inf + 620144 2.126 * * [simplify]: Extracting #9: cost 0 inf + 619284 2.236 * * [simplify]: Extracting #10: cost 0 inf + 618762 2.343 * * [simplify]: Extracting #11: cost 0 inf + 618240 2.453 * [simplify]: Simplified to: (exp (* (* x y) y)) 2.454 * * [progress]: iteration 1 / 4 2.454 * * * [progress]: picking best candidate 2.457 * * * * [pick]: Picked # 2.457 * * * [progress]: localizing error 2.466 * * * [progress]: generating rewritten candidates 2.466 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.482 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.493 * * * [progress]: generating series expansions 2.493 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.493 * [backup-simplify]: Simplify (* (* x y) y) into (* x (pow y 2)) 2.493 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 2.493 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.493 * [taylor]: Taking taylor expansion of x in y 2.493 * [backup-simplify]: Simplify x into x 2.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.493 * [taylor]: Taking taylor expansion of y in y 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.493 * [taylor]: Taking taylor expansion of x in x 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.493 * [taylor]: Taking taylor expansion of y in x 2.493 * [backup-simplify]: Simplify y into y 2.494 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.494 * [taylor]: Taking taylor expansion of x in x 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.494 * [taylor]: Taking taylor expansion of y in x 2.494 * [backup-simplify]: Simplify y into y 2.494 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.494 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.494 * [taylor]: Taking taylor expansion of 0 in y 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.495 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.495 * [taylor]: Taking taylor expansion of y in y 2.495 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify (* 1 1) into 1 2.495 * [backup-simplify]: Simplify 1 into 1 2.495 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 2.496 * [taylor]: Taking taylor expansion of 0 in y 2.496 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify 0 into 0 2.498 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.499 * [taylor]: Taking taylor expansion of 0 in y 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 2.499 * [backup-simplify]: Simplify (* (* (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ 1 (* x (pow y 2))) 2.499 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 2.499 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 2.499 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.499 * [taylor]: Taking taylor expansion of x in y 2.499 * [backup-simplify]: Simplify x into x 2.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.499 * [taylor]: Taking taylor expansion of y in y 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [backup-simplify]: Simplify (* 1 1) into 1 2.499 * [backup-simplify]: Simplify (* x 1) into x 2.499 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.499 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.499 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.499 * [taylor]: Taking taylor expansion of y in x 2.499 * [backup-simplify]: Simplify y into y 2.499 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.500 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.500 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.500 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.500 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.500 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.500 * [taylor]: Taking taylor expansion of x in x 2.500 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify 1 into 1 2.500 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.500 * [taylor]: Taking taylor expansion of y in x 2.500 * [backup-simplify]: Simplify y into y 2.500 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.500 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.500 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.501 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.501 * [taylor]: Taking taylor expansion of y in y 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (* 1 1) into 1 2.501 * [backup-simplify]: Simplify (/ 1 1) into 1 2.501 * [backup-simplify]: Simplify 1 into 1 2.502 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 2.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.502 * [taylor]: Taking taylor expansion of 0 in y 2.502 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.505 * [taylor]: Taking taylor expansion of 0 in y 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.510 * [taylor]: Taking taylor expansion of 0 in y 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.513 * [backup-simplify]: Simplify 0 into 0 2.514 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.516 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 2.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.517 * [taylor]: Taking taylor expansion of 0 in y 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 2.517 * [backup-simplify]: Simplify (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (/ -1 (* x (pow y 2))) 2.517 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 2.517 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 2.517 * [taylor]: Taking taylor expansion of -1 in y 2.518 * [backup-simplify]: Simplify -1 into -1 2.518 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.518 * [taylor]: Taking taylor expansion of x in y 2.518 * [backup-simplify]: Simplify x into x 2.518 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.518 * [taylor]: Taking taylor expansion of y in y 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (* 1 1) into 1 2.518 * [backup-simplify]: Simplify (* x 1) into x 2.518 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.518 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.518 * [taylor]: Taking taylor expansion of -1 in x 2.518 * [backup-simplify]: Simplify -1 into -1 2.518 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.519 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.519 * [taylor]: Taking taylor expansion of y in x 2.519 * [backup-simplify]: Simplify y into y 2.519 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.519 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.519 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.519 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.520 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 2.520 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.520 * [taylor]: Taking taylor expansion of -1 in x 2.520 * [backup-simplify]: Simplify -1 into -1 2.520 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.520 * [taylor]: Taking taylor expansion of y in x 2.520 * [backup-simplify]: Simplify y into y 2.520 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.520 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.520 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.521 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.521 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 2.521 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 2.521 * [taylor]: Taking taylor expansion of -1 in y 2.521 * [backup-simplify]: Simplify -1 into -1 2.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.521 * [taylor]: Taking taylor expansion of y in y 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (* 1 1) into 1 2.522 * [backup-simplify]: Simplify (/ -1 1) into -1 2.522 * [backup-simplify]: Simplify -1 into -1 2.523 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.524 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 2.524 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.524 * [taylor]: Taking taylor expansion of 0 in y 2.524 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.528 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.529 * [taylor]: Taking taylor expansion of 0 in y 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.534 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.534 * [taylor]: Taking taylor expansion of 0 in y 2.534 * [backup-simplify]: Simplify 0 into 0 2.534 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 2.540 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.540 * [taylor]: Taking taylor expansion of 0 in y 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 2.540 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.541 * [backup-simplify]: Simplify (exp (* (* x y) y)) into (exp (* x (pow y 2))) 2.541 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 2.541 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 2.541 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.541 * [taylor]: Taking taylor expansion of x in y 2.541 * [backup-simplify]: Simplify x into x 2.541 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.541 * [taylor]: Taking taylor expansion of y in y 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 1 into 1 2.541 * [backup-simplify]: Simplify (* 1 1) into 1 2.541 * [backup-simplify]: Simplify (* x 1) into x 2.541 * [backup-simplify]: Simplify (exp 0) into 1 2.541 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 2.541 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.541 * [taylor]: Taking taylor expansion of x in x 2.541 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify 1 into 1 2.542 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.542 * [taylor]: Taking taylor expansion of y in x 2.542 * [backup-simplify]: Simplify y into y 2.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.542 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.542 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.542 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.542 * [backup-simplify]: Simplify (exp 0) into 1 2.542 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 2.542 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.542 * [taylor]: Taking taylor expansion of x in x 2.542 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify 1 into 1 2.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.543 * [taylor]: Taking taylor expansion of y in x 2.543 * [backup-simplify]: Simplify y into y 2.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.543 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.543 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.543 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.543 * [backup-simplify]: Simplify (exp 0) into 1 2.543 * [taylor]: Taking taylor expansion of 1 in y 2.543 * [backup-simplify]: Simplify 1 into 1 2.543 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 2.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.544 * [taylor]: Taking taylor expansion of y in y 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 2.546 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 2.546 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 2.546 * [taylor]: Taking taylor expansion of 1/2 in y 2.546 * [backup-simplify]: Simplify 1/2 into 1/2 2.546 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.546 * [taylor]: Taking taylor expansion of y in y 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 1 into 1 2.546 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 2.550 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 2.550 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 2.550 * [taylor]: Taking taylor expansion of 1/6 in y 2.550 * [backup-simplify]: Simplify 1/6 into 1/6 2.550 * [taylor]: Taking taylor expansion of (pow y 6) in y 2.550 * [taylor]: Taking taylor expansion of y in y 2.550 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify 1 into 1 2.550 * [backup-simplify]: Simplify (* 1 1) into 1 2.550 * [backup-simplify]: Simplify 1 into 1 2.551 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 2.556 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 2.556 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 2.556 * [taylor]: Taking taylor expansion of 1/24 in y 2.556 * [backup-simplify]: Simplify 1/24 into 1/24 2.556 * [taylor]: Taking taylor expansion of (pow y 8) in y 2.556 * [taylor]: Taking taylor expansion of y in y 2.556 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify 1 into 1 2.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.557 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 2.560 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 2.564 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 2.564 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 2.564 * [taylor]: Taking taylor expansion of 1/120 in y 2.564 * [backup-simplify]: Simplify 1/120 into 1/120 2.564 * [taylor]: Taking taylor expansion of (pow y 10) in y 2.564 * [taylor]: Taking taylor expansion of y in y 2.564 * [backup-simplify]: Simplify 0 into 0 2.564 * [backup-simplify]: Simplify 1 into 1 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 2.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 2.576 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 2.577 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 2.577 * [taylor]: Taking taylor expansion of 1/720 in y 2.577 * [backup-simplify]: Simplify 1/720 into 1/720 2.577 * [taylor]: Taking taylor expansion of (pow y 12) in y 2.577 * [taylor]: Taking taylor expansion of y in y 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [backup-simplify]: Simplify (* 1 1) into 1 2.577 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.578 * [backup-simplify]: Simplify 1/2 into 1/2 2.578 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) 2.579 * [backup-simplify]: Simplify (exp (* (* (/ 1 x) (/ 1 y)) (/ 1 y))) into (exp (/ 1 (* x (pow y 2)))) 2.579 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 2.579 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 2.579 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 2.579 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.579 * [taylor]: Taking taylor expansion of x in y 2.579 * [backup-simplify]: Simplify x into x 2.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.579 * [taylor]: Taking taylor expansion of y in y 2.579 * [backup-simplify]: Simplify 0 into 0 2.579 * [backup-simplify]: Simplify 1 into 1 2.579 * [backup-simplify]: Simplify (* 1 1) into 1 2.579 * [backup-simplify]: Simplify (* x 1) into x 2.579 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.580 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.580 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 2.580 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.580 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.580 * [taylor]: Taking taylor expansion of x in x 2.580 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify 1 into 1 2.580 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.580 * [taylor]: Taking taylor expansion of y in x 2.580 * [backup-simplify]: Simplify y into y 2.580 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.580 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.580 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.581 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.581 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.581 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 2.581 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 2.581 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.581 * [taylor]: Taking taylor expansion of x in x 2.581 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify 1 into 1 2.581 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.581 * [taylor]: Taking taylor expansion of y in x 2.581 * [backup-simplify]: Simplify y into y 2.581 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.581 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.582 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.582 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.582 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.582 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.583 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 2.583 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 2.583 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.583 * [taylor]: Taking taylor expansion of x in y 2.583 * [backup-simplify]: Simplify x into x 2.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.583 * [taylor]: Taking taylor expansion of y in y 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.583 * [backup-simplify]: Simplify (* 1 1) into 1 2.583 * [backup-simplify]: Simplify (* x 1) into x 2.583 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.583 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.584 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 2.584 * [taylor]: Taking taylor expansion of 0 in y 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [taylor]: Taking taylor expansion of 0 in y 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [taylor]: Taking taylor expansion of 0 in y 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 2.585 * [backup-simplify]: Simplify (exp (* (* (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (exp (/ -1 (* x (pow y 2)))) 2.585 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 2.585 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 2.585 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 2.585 * [taylor]: Taking taylor expansion of -1 in y 2.585 * [backup-simplify]: Simplify -1 into -1 2.585 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.585 * [taylor]: Taking taylor expansion of x in y 2.585 * [backup-simplify]: Simplify x into x 2.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.585 * [taylor]: Taking taylor expansion of y in y 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [backup-simplify]: Simplify (* 1 1) into 1 2.585 * [backup-simplify]: Simplify (* x 1) into x 2.585 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.586 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.586 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 2.586 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.586 * [taylor]: Taking taylor expansion of -1 in x 2.586 * [backup-simplify]: Simplify -1 into -1 2.586 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.586 * [taylor]: Taking taylor expansion of x in x 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.586 * [taylor]: Taking taylor expansion of y in x 2.586 * [backup-simplify]: Simplify y into y 2.586 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.586 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.586 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.587 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.587 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 2.587 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.587 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 2.587 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 2.587 * [taylor]: Taking taylor expansion of -1 in x 2.587 * [backup-simplify]: Simplify -1 into -1 2.587 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 2.587 * [taylor]: Taking taylor expansion of x in x 2.587 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify 1 into 1 2.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.587 * [taylor]: Taking taylor expansion of y in x 2.587 * [backup-simplify]: Simplify y into y 2.587 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.588 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 2.588 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.588 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 2.588 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 2.588 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.589 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 2.589 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 2.589 * [taylor]: Taking taylor expansion of -1 in y 2.589 * [backup-simplify]: Simplify -1 into -1 2.589 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 2.589 * [taylor]: Taking taylor expansion of x in y 2.589 * [backup-simplify]: Simplify x into x 2.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.589 * [taylor]: Taking taylor expansion of y in y 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (* 1 1) into 1 2.589 * [backup-simplify]: Simplify (* x 1) into x 2.589 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 2.589 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.590 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 2.590 * [taylor]: Taking taylor expansion of 0 in y 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [taylor]: Taking taylor expansion of 0 in y 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [taylor]: Taking taylor expansion of 0 in y 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 2.591 * * * [progress]: simplifying candidates 2.591 * [simplify]: Simplifying: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (+ (+ (log x) (log y)) (log y)) (+ (log (* x y)) (log y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* (* x x) x) (* (* y y) y)) (* (* y y) y)) (* (* (* (* x y) (* x y)) (* x y)) (* (* y y) y)) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* (* x y) y) (* (* x y) y)) (* (* x y) y)) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* x y) (* (cbrt y) (cbrt y))) (* (* x y) (sqrt y)) (* (* x y) 1) (* y y) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (log (exp (* (* x y) y))) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (* (* (exp (* (* x y) y)) (exp (* (* x y) y))) (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 2.592 * * [simplify]: iteration 0: 57 enodes 2.612 * * [simplify]: iteration 1: 145 enodes 2.662 * * [simplify]: iteration 2: 492 enodes 3.381 * * [simplify]: iteration 3: 2043 enodes 4.664 * * [simplify]: iteration complete: 5002 enodes 4.664 * * [simplify]: Extracting #0: cost 22 inf + 0 4.665 * * [simplify]: Extracting #1: cost 541 inf + 0 4.671 * * [simplify]: Extracting #2: cost 1373 inf + 5620 4.689 * * [simplify]: Extracting #3: cost 667 inf + 97322 4.727 * * [simplify]: Extracting #4: cost 71 inf + 195713 4.771 * * [simplify]: Extracting #5: cost 7 inf + 210475 4.814 * * [simplify]: Extracting #6: cost 0 inf + 213667 4.861 * [simplify]: Simplified to: (expm1 (* (* x y) y)) (log1p (* (* x y) y)) (* (* x y) y) (* (* x y) y) (log (* (* x y) y)) (log (* (* x y) y)) (log (* (* x y) y)) (exp (* (* x y) y)) (* (* (* y y) x) (* (* (* y y) x) (* (* y y) x))) (* (* (* y y) x) (* (* (* y y) x) (* (* y y) x))) (* (cbrt (* (* x y) y)) (cbrt (* (* x y) y))) (cbrt (* (* x y) y)) (* (* (* y y) x) (* (* (* y y) x) (* (* y y) x))) (sqrt (* (* x y) y)) (sqrt (* (* x y) y)) (* (* y (cbrt y)) (* x (cbrt y))) (* (* y x) (sqrt y)) (* x y) (* y y) (expm1 (exp (* (* x y) y))) (log1p (exp (* (* x y) y))) (exp (* x y)) (* (* x y) y) (exp (exp (* (* x y) y))) (* (cbrt (exp (* (* x y) y))) (cbrt (exp (* (* x y) y)))) (cbrt (exp (* (* x y) y))) (exp (* (* y y) (fma 2 x x))) (sqrt (exp (* (* x y) y))) (sqrt (exp (* (* x y) y))) (* (* x y) y) (* (* x y) y) (* (* x y) y) (fma 1/2 (* (* (* y y) x) (* (* y y) x)) (fma (* y y) x 1)) (exp (* (* x y) y)) (exp (* (* x y) y)) 4.862 * * * [progress]: adding candidates to table 4.999 * * [progress]: iteration 2 / 4 4.999 * * * [progress]: picking best candidate 5.010 * * * * [pick]: Picked # 5.010 * * * [progress]: localizing error 5.023 * * * [progress]: generating rewritten candidates 5.023 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 5.046 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 5.058 * * * [progress]: generating series expansions 5.058 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 5.058 * [backup-simplify]: Simplify (* x (* y y)) into (* x (pow y 2)) 5.058 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 5.058 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 5.058 * [taylor]: Taking taylor expansion of x in y 5.058 * [backup-simplify]: Simplify x into x 5.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.058 * [taylor]: Taking taylor expansion of y in y 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.058 * [taylor]: Taking taylor expansion of x in x 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.058 * [taylor]: Taking taylor expansion of y in x 5.058 * [backup-simplify]: Simplify y into y 5.058 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.058 * [taylor]: Taking taylor expansion of x in x 5.058 * [backup-simplify]: Simplify 0 into 0 5.058 * [backup-simplify]: Simplify 1 into 1 5.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.059 * [taylor]: Taking taylor expansion of y in x 5.059 * [backup-simplify]: Simplify y into y 5.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.059 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.059 * [taylor]: Taking taylor expansion of 0 in y 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.060 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.060 * [taylor]: Taking taylor expansion of y in y 5.060 * [backup-simplify]: Simplify 0 into 0 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify (* 1 1) into 1 5.060 * [backup-simplify]: Simplify 1 into 1 5.060 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 5.062 * [taylor]: Taking taylor expansion of 0 in y 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.062 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.064 * [taylor]: Taking taylor expansion of 0 in y 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.064 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 5.065 * [backup-simplify]: Simplify (* (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ 1 (* x (pow y 2))) 5.065 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 5.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 5.065 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 5.065 * [taylor]: Taking taylor expansion of x in y 5.065 * [backup-simplify]: Simplify x into x 5.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.065 * [taylor]: Taking taylor expansion of y in y 5.065 * [backup-simplify]: Simplify 0 into 0 5.065 * [backup-simplify]: Simplify 1 into 1 5.065 * [backup-simplify]: Simplify (* 1 1) into 1 5.065 * [backup-simplify]: Simplify (* x 1) into x 5.065 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.065 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 5.065 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.065 * [taylor]: Taking taylor expansion of x in x 5.066 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify 1 into 1 5.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.066 * [taylor]: Taking taylor expansion of y in x 5.066 * [backup-simplify]: Simplify y into y 5.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.066 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.066 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.066 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.066 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.066 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 5.067 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.067 * [taylor]: Taking taylor expansion of x in x 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 1 into 1 5.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.067 * [taylor]: Taking taylor expansion of y in x 5.067 * [backup-simplify]: Simplify y into y 5.067 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.067 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.067 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.067 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.068 * [taylor]: Taking taylor expansion of y in y 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (* 1 1) into 1 5.068 * [backup-simplify]: Simplify (/ 1 1) into 1 5.068 * [backup-simplify]: Simplify 1 into 1 5.069 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 5.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.070 * [taylor]: Taking taylor expansion of 0 in y 5.070 * [backup-simplify]: Simplify 0 into 0 5.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.072 * [taylor]: Taking taylor expansion of 0 in y 5.072 * [backup-simplify]: Simplify 0 into 0 5.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.073 * [backup-simplify]: Simplify 0 into 0 5.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.075 * [taylor]: Taking taylor expansion of 0 in y 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 0 into 0 5.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.076 * [backup-simplify]: Simplify 0 into 0 5.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 5.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 5.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.079 * [taylor]: Taking taylor expansion of 0 in y 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 5.079 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ -1 (* x (pow y 2))) 5.079 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 5.079 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 5.079 * [taylor]: Taking taylor expansion of -1 in y 5.079 * [backup-simplify]: Simplify -1 into -1 5.079 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 5.079 * [taylor]: Taking taylor expansion of x in y 5.079 * [backup-simplify]: Simplify x into x 5.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.079 * [taylor]: Taking taylor expansion of y in y 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (* 1 1) into 1 5.080 * [backup-simplify]: Simplify (* x 1) into x 5.080 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.080 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 5.080 * [taylor]: Taking taylor expansion of -1 in x 5.080 * [backup-simplify]: Simplify -1 into -1 5.080 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.080 * [taylor]: Taking taylor expansion of x in x 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.080 * [taylor]: Taking taylor expansion of y in x 5.080 * [backup-simplify]: Simplify y into y 5.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.080 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.080 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.080 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.080 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 5.080 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 5.080 * [taylor]: Taking taylor expansion of -1 in x 5.080 * [backup-simplify]: Simplify -1 into -1 5.080 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.080 * [taylor]: Taking taylor expansion of x in x 5.080 * [backup-simplify]: Simplify 0 into 0 5.080 * [backup-simplify]: Simplify 1 into 1 5.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.080 * [taylor]: Taking taylor expansion of y in x 5.080 * [backup-simplify]: Simplify y into y 5.081 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.081 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.081 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 5.081 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 5.081 * [taylor]: Taking taylor expansion of -1 in y 5.081 * [backup-simplify]: Simplify -1 into -1 5.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.081 * [taylor]: Taking taylor expansion of y in y 5.081 * [backup-simplify]: Simplify 0 into 0 5.081 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (* 1 1) into 1 5.082 * [backup-simplify]: Simplify (/ -1 1) into -1 5.082 * [backup-simplify]: Simplify -1 into -1 5.082 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 5.083 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.083 * [taylor]: Taking taylor expansion of 0 in y 5.083 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.084 * [backup-simplify]: Simplify 0 into 0 5.085 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.086 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.086 * [taylor]: Taking taylor expansion of 0 in y 5.086 * [backup-simplify]: Simplify 0 into 0 5.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.089 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.089 * [taylor]: Taking taylor expansion of 0 in y 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.090 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 5.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 5.093 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.093 * [taylor]: Taking taylor expansion of 0 in y 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 5.093 * * * * [progress]: [ 2 / 2 ] generating series at (2) 5.093 * [backup-simplify]: Simplify (exp (* x (* y y))) into (exp (* x (pow y 2))) 5.093 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 5.093 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 5.093 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 5.093 * [taylor]: Taking taylor expansion of x in y 5.093 * [backup-simplify]: Simplify x into x 5.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.094 * [taylor]: Taking taylor expansion of y in y 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [backup-simplify]: Simplify (* 1 1) into 1 5.094 * [backup-simplify]: Simplify (* x 1) into x 5.094 * [backup-simplify]: Simplify (exp 0) into 1 5.094 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 5.094 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.094 * [taylor]: Taking taylor expansion of x in x 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.094 * [taylor]: Taking taylor expansion of y in x 5.094 * [backup-simplify]: Simplify y into y 5.094 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.094 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.094 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.095 * [backup-simplify]: Simplify (exp 0) into 1 5.095 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 5.095 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.095 * [taylor]: Taking taylor expansion of x in x 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.095 * [taylor]: Taking taylor expansion of y in x 5.095 * [backup-simplify]: Simplify y into y 5.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.095 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.095 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.095 * [backup-simplify]: Simplify (exp 0) into 1 5.095 * [taylor]: Taking taylor expansion of 1 in y 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 5.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.095 * [taylor]: Taking taylor expansion of y in y 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.096 * [backup-simplify]: Simplify 0 into 0 5.096 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 5.097 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 5.097 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 5.097 * [taylor]: Taking taylor expansion of 1/2 in y 5.097 * [backup-simplify]: Simplify 1/2 into 1/2 5.097 * [taylor]: Taking taylor expansion of (pow y 4) in y 5.097 * [taylor]: Taking taylor expansion of y in y 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [backup-simplify]: Simplify 0 into 0 5.098 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.099 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 5.099 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 5.099 * [taylor]: Taking taylor expansion of 1/6 in y 5.099 * [backup-simplify]: Simplify 1/6 into 1/6 5.099 * [taylor]: Taking taylor expansion of (pow y 6) in y 5.099 * [taylor]: Taking taylor expansion of y in y 5.099 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (* 1 1) into 1 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.103 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 5.103 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 5.103 * [taylor]: Taking taylor expansion of 1/24 in y 5.103 * [backup-simplify]: Simplify 1/24 into 1/24 5.103 * [taylor]: Taking taylor expansion of (pow y 8) in y 5.103 * [taylor]: Taking taylor expansion of y in y 5.103 * [backup-simplify]: Simplify 0 into 0 5.103 * [backup-simplify]: Simplify 1 into 1 5.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.104 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 5.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 5.111 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 5.111 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 5.111 * [taylor]: Taking taylor expansion of 1/120 in y 5.111 * [backup-simplify]: Simplify 1/120 into 1/120 5.111 * [taylor]: Taking taylor expansion of (pow y 10) in y 5.111 * [taylor]: Taking taylor expansion of y in y 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 5.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 5.121 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 5.121 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 5.121 * [taylor]: Taking taylor expansion of 1/720 in y 5.121 * [backup-simplify]: Simplify 1/720 into 1/720 5.121 * [taylor]: Taking taylor expansion of (pow y 12) in y 5.121 * [taylor]: Taking taylor expansion of y in y 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 1 into 1 5.121 * [backup-simplify]: Simplify (* 1 1) into 1 5.122 * [backup-simplify]: Simplify (* 1 1) into 1 5.122 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.122 * [backup-simplify]: Simplify 1/2 into 1/2 5.123 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) 5.123 * [backup-simplify]: Simplify (exp (* (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (exp (/ 1 (* x (pow y 2)))) 5.123 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 5.123 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 5.123 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 5.123 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 5.123 * [taylor]: Taking taylor expansion of x in y 5.123 * [backup-simplify]: Simplify x into x 5.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.123 * [taylor]: Taking taylor expansion of y in y 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 1 into 1 5.123 * [backup-simplify]: Simplify (* 1 1) into 1 5.123 * [backup-simplify]: Simplify (* x 1) into x 5.123 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.124 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 5.124 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 5.124 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 5.124 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.124 * [taylor]: Taking taylor expansion of x in x 5.124 * [backup-simplify]: Simplify 0 into 0 5.124 * [backup-simplify]: Simplify 1 into 1 5.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.124 * [taylor]: Taking taylor expansion of y in x 5.124 * [backup-simplify]: Simplify y into y 5.124 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.124 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.124 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.125 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 5.125 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 5.125 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 5.125 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.125 * [taylor]: Taking taylor expansion of x in x 5.125 * [backup-simplify]: Simplify 0 into 0 5.125 * [backup-simplify]: Simplify 1 into 1 5.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.125 * [taylor]: Taking taylor expansion of y in x 5.125 * [backup-simplify]: Simplify y into y 5.125 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.125 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.125 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.126 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.126 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 5.126 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 5.126 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 5.126 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 5.126 * [taylor]: Taking taylor expansion of x in y 5.126 * [backup-simplify]: Simplify x into x 5.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.126 * [taylor]: Taking taylor expansion of y in y 5.126 * [backup-simplify]: Simplify 0 into 0 5.126 * [backup-simplify]: Simplify 1 into 1 5.127 * [backup-simplify]: Simplify (* 1 1) into 1 5.127 * [backup-simplify]: Simplify (* x 1) into x 5.127 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.127 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 5.127 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 5.127 * [taylor]: Taking taylor expansion of 0 in y 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [taylor]: Taking taylor expansion of 0 in y 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [taylor]: Taking taylor expansion of 0 in y 5.127 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 5.128 * [backup-simplify]: Simplify (exp (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (exp (/ -1 (* x (pow y 2)))) 5.128 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 5.128 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 5.128 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 5.128 * [taylor]: Taking taylor expansion of -1 in y 5.128 * [backup-simplify]: Simplify -1 into -1 5.128 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 5.128 * [taylor]: Taking taylor expansion of x in y 5.128 * [backup-simplify]: Simplify x into x 5.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.128 * [taylor]: Taking taylor expansion of y in y 5.128 * [backup-simplify]: Simplify 0 into 0 5.128 * [backup-simplify]: Simplify 1 into 1 5.129 * [backup-simplify]: Simplify (* 1 1) into 1 5.129 * [backup-simplify]: Simplify (* x 1) into x 5.129 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.129 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 5.129 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 5.129 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 5.129 * [taylor]: Taking taylor expansion of -1 in x 5.129 * [backup-simplify]: Simplify -1 into -1 5.129 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.129 * [taylor]: Taking taylor expansion of x in x 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify 1 into 1 5.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.129 * [taylor]: Taking taylor expansion of y in x 5.129 * [backup-simplify]: Simplify y into y 5.129 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.129 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.129 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.130 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.130 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 5.130 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 5.130 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 5.130 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 5.130 * [taylor]: Taking taylor expansion of -1 in x 5.130 * [backup-simplify]: Simplify -1 into -1 5.130 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 5.130 * [taylor]: Taking taylor expansion of x in x 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.130 * [taylor]: Taking taylor expansion of y in x 5.130 * [backup-simplify]: Simplify y into y 5.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.131 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 5.131 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.131 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 5.131 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 5.131 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 5.132 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 5.132 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 5.132 * [taylor]: Taking taylor expansion of -1 in y 5.132 * [backup-simplify]: Simplify -1 into -1 5.132 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 5.132 * [taylor]: Taking taylor expansion of x in y 5.132 * [backup-simplify]: Simplify x into x 5.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.132 * [taylor]: Taking taylor expansion of y in y 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (* 1 1) into 1 5.132 * [backup-simplify]: Simplify (* x 1) into x 5.132 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 5.132 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 5.133 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 5.133 * [taylor]: Taking taylor expansion of 0 in y 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [taylor]: Taking taylor expansion of 0 in y 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [taylor]: Taking taylor expansion of 0 in y 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 5.133 * * * [progress]: simplifying candidates 5.134 * [simplify]: Simplifying: (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (exp (* x (* y y)))) (log1p (exp (* x (* y y)))) (exp x) (log (exp (* x (* y y)))) (exp (exp (* x (* y y)))) (* (cbrt (exp (* x (* y y)))) (cbrt (exp (* x (* y y))))) (cbrt (exp (* x (* y y)))) (* (* (exp (* x (* y y))) (exp (* x (* y y)))) (exp (* x (* y y)))) (sqrt (exp (* x (* y y)))) (sqrt (exp (* x (* y y)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 5.135 * * [simplify]: iteration 0: 56 enodes 5.156 * * [simplify]: iteration 1: 133 enodes 5.213 * * [simplify]: iteration 2: 341 enodes 5.437 * * [simplify]: iteration 3: 1311 enodes 6.275 * * [simplify]: iteration complete: 5029 enodes 6.275 * * [simplify]: Extracting #0: cost 22 inf + 0 6.276 * * [simplify]: Extracting #1: cost 403 inf + 0 6.281 * * [simplify]: Extracting #2: cost 1627 inf + 5417 6.304 * * [simplify]: Extracting #3: cost 689 inf + 123707 6.366 * * [simplify]: Extracting #4: cost 24 inf + 233607 6.443 * * [simplify]: Extracting #5: cost 1 inf + 238554 6.503 * * [simplify]: Extracting #6: cost 0 inf + 238607 6.578 * [simplify]: Simplified to: (expm1 (* y (* y x))) (log1p (* y (* y x))) (* y (* y x)) (* y (* y x)) (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (exp (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (cbrt (* y (* y x))) (cbrt (* y (* y x)))) (cbrt (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (sqrt (* y (* y x))) (sqrt (* y (* y x))) (* y (sqrt x)) (* y (sqrt x)) (* x y) (* (* y y) (cbrt x)) (* y (* y (sqrt x))) (* y (* y x)) (expm1 (exp (* y (* y x)))) (log1p (exp (* y (* y x)))) (exp x) (* y (* y x)) (exp (exp (* y (* y x)))) (* (cbrt (exp (* y (* y x)))) (cbrt (exp (* y (* y x))))) (cbrt (exp (* y (* y x)))) (exp (* 3 (* y (* y x)))) (sqrt (exp (* y (* y x)))) (sqrt (exp (* y (* y x)))) (* y (* y x)) (* y (* y x)) (* y (* y x)) (fma (fma (* y (* y x)) 1/2 1) (* y (* y x)) 1) (exp (* y (* y x))) (exp (* y (* y x))) 6.579 * * * [progress]: adding candidates to table 6.756 * * [progress]: iteration 3 / 4 6.756 * * * [progress]: picking best candidate 6.767 * * * * [pick]: Picked # 6.767 * * * [progress]: localizing error 6.800 * * * [progress]: generating rewritten candidates 6.800 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.822 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.846 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.857 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 6.871 * * * [progress]: generating series expansions 6.871 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.871 * [backup-simplify]: Simplify (* x (* y y)) into (* x (pow y 2)) 6.871 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 6.871 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 6.871 * [taylor]: Taking taylor expansion of x in y 6.871 * [backup-simplify]: Simplify x into x 6.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.871 * [taylor]: Taking taylor expansion of y in y 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.871 * [taylor]: Taking taylor expansion of x in x 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.871 * [taylor]: Taking taylor expansion of y in x 6.871 * [backup-simplify]: Simplify y into y 6.871 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.871 * [taylor]: Taking taylor expansion of x in x 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.871 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.871 * [taylor]: Taking taylor expansion of y in x 6.871 * [backup-simplify]: Simplify y into y 6.872 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.872 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.872 * [taylor]: Taking taylor expansion of 0 in y 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify 0 into 0 6.872 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.873 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.873 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.873 * [taylor]: Taking taylor expansion of y in y 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [backup-simplify]: Simplify (* 1 1) into 1 6.873 * [backup-simplify]: Simplify 1 into 1 6.873 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.875 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 6.875 * [taylor]: Taking taylor expansion of 0 in y 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.877 * [taylor]: Taking taylor expansion of 0 in y 6.877 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 6.878 * [backup-simplify]: Simplify (* (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ 1 (* x (pow y 2))) 6.878 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 6.878 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 6.878 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 6.878 * [taylor]: Taking taylor expansion of x in y 6.878 * [backup-simplify]: Simplify x into x 6.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.878 * [taylor]: Taking taylor expansion of y in y 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [backup-simplify]: Simplify (* 1 1) into 1 6.878 * [backup-simplify]: Simplify (* x 1) into x 6.878 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.879 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 6.879 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.879 * [taylor]: Taking taylor expansion of x in x 6.879 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify 1 into 1 6.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.879 * [taylor]: Taking taylor expansion of y in x 6.879 * [backup-simplify]: Simplify y into y 6.879 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.879 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.879 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.879 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.880 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 6.880 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.880 * [taylor]: Taking taylor expansion of x in x 6.880 * [backup-simplify]: Simplify 0 into 0 6.880 * [backup-simplify]: Simplify 1 into 1 6.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.880 * [taylor]: Taking taylor expansion of y in x 6.880 * [backup-simplify]: Simplify y into y 6.880 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.880 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.880 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.880 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.881 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.881 * [taylor]: Taking taylor expansion of y in y 6.881 * [backup-simplify]: Simplify 0 into 0 6.881 * [backup-simplify]: Simplify 1 into 1 6.881 * [backup-simplify]: Simplify (* 1 1) into 1 6.881 * [backup-simplify]: Simplify (/ 1 1) into 1 6.881 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 6.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.883 * [taylor]: Taking taylor expansion of 0 in y 6.883 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.887 * [taylor]: Taking taylor expansion of 0 in y 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.888 * [backup-simplify]: Simplify 0 into 0 6.889 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.891 * [taylor]: Taking taylor expansion of 0 in y 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.893 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 6.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 6.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.897 * [taylor]: Taking taylor expansion of 0 in y 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 6.897 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ -1 (* x (pow y 2))) 6.898 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 6.898 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 6.898 * [taylor]: Taking taylor expansion of -1 in y 6.898 * [backup-simplify]: Simplify -1 into -1 6.898 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 6.898 * [taylor]: Taking taylor expansion of x in y 6.898 * [backup-simplify]: Simplify x into x 6.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.898 * [taylor]: Taking taylor expansion of y in y 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (* 1 1) into 1 6.898 * [backup-simplify]: Simplify (* x 1) into x 6.898 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.898 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 6.898 * [taylor]: Taking taylor expansion of -1 in x 6.898 * [backup-simplify]: Simplify -1 into -1 6.898 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.898 * [taylor]: Taking taylor expansion of x in x 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.898 * [taylor]: Taking taylor expansion of y in x 6.898 * [backup-simplify]: Simplify y into y 6.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.899 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.899 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.899 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.899 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 6.899 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 6.899 * [taylor]: Taking taylor expansion of -1 in x 6.899 * [backup-simplify]: Simplify -1 into -1 6.899 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.899 * [taylor]: Taking taylor expansion of x in x 6.899 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify 1 into 1 6.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.900 * [taylor]: Taking taylor expansion of y in x 6.900 * [backup-simplify]: Simplify y into y 6.900 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.900 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.900 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.900 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 6.900 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 6.901 * [taylor]: Taking taylor expansion of -1 in y 6.901 * [backup-simplify]: Simplify -1 into -1 6.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.901 * [taylor]: Taking taylor expansion of y in y 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (* 1 1) into 1 6.901 * [backup-simplify]: Simplify (/ -1 1) into -1 6.901 * [backup-simplify]: Simplify -1 into -1 6.902 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 6.903 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.903 * [taylor]: Taking taylor expansion of 0 in y 6.903 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.904 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.907 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.907 * [taylor]: Taking taylor expansion of 0 in y 6.907 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.909 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.912 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.912 * [taylor]: Taking taylor expansion of 0 in y 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.914 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 6.917 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 6.918 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.918 * [taylor]: Taking taylor expansion of 0 in y 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 6.918 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 6.918 * [backup-simplify]: Simplify (* x (* y y)) into (* x (pow y 2)) 6.918 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 6.918 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 6.918 * [taylor]: Taking taylor expansion of x in y 6.918 * [backup-simplify]: Simplify x into x 6.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.919 * [taylor]: Taking taylor expansion of y in y 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.919 * [taylor]: Taking taylor expansion of x in x 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.919 * [taylor]: Taking taylor expansion of y in x 6.919 * [backup-simplify]: Simplify y into y 6.919 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.919 * [taylor]: Taking taylor expansion of x in x 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.919 * [taylor]: Taking taylor expansion of y in x 6.919 * [backup-simplify]: Simplify y into y 6.919 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.919 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.919 * [taylor]: Taking taylor expansion of 0 in y 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.920 * [taylor]: Taking taylor expansion of y in y 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.920 * [backup-simplify]: Simplify (* 1 1) into 1 6.920 * [backup-simplify]: Simplify 1 into 1 6.920 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 6.922 * [taylor]: Taking taylor expansion of 0 in y 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.924 * [taylor]: Taking taylor expansion of 0 in y 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 6.925 * [backup-simplify]: Simplify (* (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ 1 (* x (pow y 2))) 6.925 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 6.925 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 6.925 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 6.925 * [taylor]: Taking taylor expansion of x in y 6.925 * [backup-simplify]: Simplify x into x 6.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.925 * [taylor]: Taking taylor expansion of y in y 6.925 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (* 1 1) into 1 6.926 * [backup-simplify]: Simplify (* x 1) into x 6.926 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 6.926 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 6.926 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.926 * [taylor]: Taking taylor expansion of x in x 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.926 * [taylor]: Taking taylor expansion of y in x 6.926 * [backup-simplify]: Simplify y into y 6.926 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.926 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.926 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.927 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.927 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 6.927 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.927 * [taylor]: Taking taylor expansion of x in x 6.927 * [backup-simplify]: Simplify 0 into 0 6.927 * [backup-simplify]: Simplify 1 into 1 6.927 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.927 * [taylor]: Taking taylor expansion of y in x 6.927 * [backup-simplify]: Simplify y into y 6.927 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.927 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.927 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.928 * [taylor]: Taking taylor expansion of y in y 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 1 into 1 6.928 * [backup-simplify]: Simplify (* 1 1) into 1 6.929 * [backup-simplify]: Simplify (/ 1 1) into 1 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 6.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.930 * [taylor]: Taking taylor expansion of 0 in y 6.930 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.932 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.934 * [taylor]: Taking taylor expansion of 0 in y 6.934 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.939 * [taylor]: Taking taylor expansion of 0 in y 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.941 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 6.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 6.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.944 * [taylor]: Taking taylor expansion of 0 in y 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 6.945 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ -1 (* x (pow y 2))) 6.945 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 6.945 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 6.945 * [taylor]: Taking taylor expansion of -1 in y 6.945 * [backup-simplify]: Simplify -1 into -1 6.945 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 6.945 * [taylor]: Taking taylor expansion of x in y 6.945 * [backup-simplify]: Simplify x into x 6.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.945 * [taylor]: Taking taylor expansion of y in y 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify 1 into 1 6.946 * [backup-simplify]: Simplify (* 1 1) into 1 6.946 * [backup-simplify]: Simplify (* x 1) into x 6.946 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 6.946 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 6.946 * [taylor]: Taking taylor expansion of -1 in x 6.946 * [backup-simplify]: Simplify -1 into -1 6.946 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.946 * [taylor]: Taking taylor expansion of x in x 6.946 * [backup-simplify]: Simplify 0 into 0 6.946 * [backup-simplify]: Simplify 1 into 1 6.946 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.946 * [taylor]: Taking taylor expansion of y in x 6.946 * [backup-simplify]: Simplify y into y 6.946 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.946 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.946 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.947 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.947 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 6.947 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 6.947 * [taylor]: Taking taylor expansion of -1 in x 6.947 * [backup-simplify]: Simplify -1 into -1 6.947 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.947 * [taylor]: Taking taylor expansion of x in x 6.947 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify 1 into 1 6.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.947 * [taylor]: Taking taylor expansion of y in x 6.947 * [backup-simplify]: Simplify y into y 6.947 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.947 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.947 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.948 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 6.948 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 6.948 * [taylor]: Taking taylor expansion of -1 in y 6.948 * [backup-simplify]: Simplify -1 into -1 6.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.948 * [taylor]: Taking taylor expansion of y in y 6.948 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify 1 into 1 6.948 * [backup-simplify]: Simplify (* 1 1) into 1 6.949 * [backup-simplify]: Simplify (/ -1 1) into -1 6.949 * [backup-simplify]: Simplify -1 into -1 6.949 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 6.951 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.951 * [taylor]: Taking taylor expansion of 0 in y 6.951 * [backup-simplify]: Simplify 0 into 0 6.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.952 * [backup-simplify]: Simplify 0 into 0 6.953 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.954 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.954 * [taylor]: Taking taylor expansion of 0 in y 6.954 * [backup-simplify]: Simplify 0 into 0 6.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.956 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.962 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.962 * [taylor]: Taking taylor expansion of 0 in y 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.964 * [backup-simplify]: Simplify 0 into 0 6.965 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 6.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 6.968 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.968 * [taylor]: Taking taylor expansion of 0 in y 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 6.968 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.968 * [backup-simplify]: Simplify (exp (* x (* y y))) into (exp (* x (pow y 2))) 6.968 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 6.968 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 6.968 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 6.968 * [taylor]: Taking taylor expansion of x in y 6.968 * [backup-simplify]: Simplify x into x 6.968 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.968 * [taylor]: Taking taylor expansion of y in y 6.968 * [backup-simplify]: Simplify 0 into 0 6.968 * [backup-simplify]: Simplify 1 into 1 6.969 * [backup-simplify]: Simplify (* 1 1) into 1 6.969 * [backup-simplify]: Simplify (* x 1) into x 6.969 * [backup-simplify]: Simplify (exp 0) into 1 6.969 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 6.969 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.969 * [taylor]: Taking taylor expansion of x in x 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 1 into 1 6.969 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.969 * [taylor]: Taking taylor expansion of y in x 6.969 * [backup-simplify]: Simplify y into y 6.969 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.969 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.969 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.970 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.970 * [backup-simplify]: Simplify (exp 0) into 1 6.970 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 6.970 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 6.970 * [taylor]: Taking taylor expansion of x in x 6.970 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify 1 into 1 6.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.970 * [taylor]: Taking taylor expansion of y in x 6.970 * [backup-simplify]: Simplify y into y 6.970 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.970 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 6.970 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 6.971 * [backup-simplify]: Simplify (exp 0) into 1 6.971 * [taylor]: Taking taylor expansion of 1 in y 6.971 * [backup-simplify]: Simplify 1 into 1 6.971 * [backup-simplify]: Simplify 1 into 1 6.971 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 6.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.971 * [taylor]: Taking taylor expansion of y in y 6.971 * [backup-simplify]: Simplify 0 into 0 6.971 * [backup-simplify]: Simplify 1 into 1 6.971 * [backup-simplify]: Simplify 0 into 0 6.972 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 6.973 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 6.974 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 6.974 * [taylor]: Taking taylor expansion of 1/2 in y 6.974 * [backup-simplify]: Simplify 1/2 into 1/2 6.974 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.974 * [taylor]: Taking taylor expansion of y in y 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 6.977 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 6.977 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 6.977 * [taylor]: Taking taylor expansion of 1/6 in y 6.978 * [backup-simplify]: Simplify 1/6 into 1/6 6.978 * [taylor]: Taking taylor expansion of (pow y 6) in y 6.978 * [taylor]: Taking taylor expansion of y in y 6.978 * [backup-simplify]: Simplify 0 into 0 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (* 1 1) into 1 6.978 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify 0 into 0 6.979 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.981 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 6.983 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 6.983 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 6.983 * [taylor]: Taking taylor expansion of 1/24 in y 6.983 * [backup-simplify]: Simplify 1/24 into 1/24 6.983 * [taylor]: Taking taylor expansion of (pow y 8) in y 6.983 * [taylor]: Taking taylor expansion of y in y 6.983 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify 1 into 1 6.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.984 * [backup-simplify]: Simplify 0 into 0 6.984 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 6.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 6.991 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 6.991 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 6.991 * [taylor]: Taking taylor expansion of 1/120 in y 6.991 * [backup-simplify]: Simplify 1/120 into 1/120 6.992 * [taylor]: Taking taylor expansion of (pow y 10) in y 6.992 * [taylor]: Taking taylor expansion of y in y 6.992 * [backup-simplify]: Simplify 0 into 0 6.992 * [backup-simplify]: Simplify 1 into 1 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.992 * [backup-simplify]: Simplify 0 into 0 6.993 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 6.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 7.003 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 7.003 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 7.003 * [taylor]: Taking taylor expansion of 1/720 in y 7.003 * [backup-simplify]: Simplify 1/720 into 1/720 7.003 * [taylor]: Taking taylor expansion of (pow y 12) in y 7.003 * [taylor]: Taking taylor expansion of y in y 7.003 * [backup-simplify]: Simplify 0 into 0 7.003 * [backup-simplify]: Simplify 1 into 1 7.004 * [backup-simplify]: Simplify (* 1 1) into 1 7.004 * [backup-simplify]: Simplify (* 1 1) into 1 7.005 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.005 * [backup-simplify]: Simplify 1/2 into 1/2 7.005 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) 7.005 * [backup-simplify]: Simplify (exp (* (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (exp (/ 1 (* x (pow y 2)))) 7.005 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 7.006 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 7.006 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.006 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.006 * [taylor]: Taking taylor expansion of x in y 7.006 * [backup-simplify]: Simplify x into x 7.006 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.006 * [taylor]: Taking taylor expansion of y in y 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 1 into 1 7.006 * [backup-simplify]: Simplify (* 1 1) into 1 7.006 * [backup-simplify]: Simplify (* x 1) into x 7.006 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.006 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.006 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 7.006 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.006 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.006 * [taylor]: Taking taylor expansion of x in x 7.006 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify 1 into 1 7.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.007 * [taylor]: Taking taylor expansion of y in x 7.007 * [backup-simplify]: Simplify y into y 7.007 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.007 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.007 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.007 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.007 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.008 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.008 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 7.008 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.008 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.008 * [taylor]: Taking taylor expansion of x in x 7.008 * [backup-simplify]: Simplify 0 into 0 7.008 * [backup-simplify]: Simplify 1 into 1 7.008 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.008 * [taylor]: Taking taylor expansion of y in x 7.008 * [backup-simplify]: Simplify y into y 7.008 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.008 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.008 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.009 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.009 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.009 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.009 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 7.009 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.009 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.009 * [taylor]: Taking taylor expansion of x in y 7.009 * [backup-simplify]: Simplify x into x 7.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.009 * [taylor]: Taking taylor expansion of y in y 7.009 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify 1 into 1 7.010 * [backup-simplify]: Simplify (* 1 1) into 1 7.010 * [backup-simplify]: Simplify (* x 1) into x 7.010 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.010 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.010 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.010 * [taylor]: Taking taylor expansion of 0 in y 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [taylor]: Taking taylor expansion of 0 in y 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 0 into 0 7.011 * [taylor]: Taking taylor expansion of 0 in y 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 7.011 * [backup-simplify]: Simplify (exp (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (exp (/ -1 (* x (pow y 2)))) 7.011 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 7.011 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 7.011 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.011 * [taylor]: Taking taylor expansion of -1 in y 7.011 * [backup-simplify]: Simplify -1 into -1 7.011 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.011 * [taylor]: Taking taylor expansion of x in y 7.011 * [backup-simplify]: Simplify x into x 7.011 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.011 * [taylor]: Taking taylor expansion of y in y 7.011 * [backup-simplify]: Simplify 0 into 0 7.011 * [backup-simplify]: Simplify 1 into 1 7.012 * [backup-simplify]: Simplify (* 1 1) into 1 7.012 * [backup-simplify]: Simplify (* x 1) into x 7.012 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.012 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.012 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 7.012 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.012 * [taylor]: Taking taylor expansion of -1 in x 7.012 * [backup-simplify]: Simplify -1 into -1 7.012 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.012 * [taylor]: Taking taylor expansion of x in x 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 1 into 1 7.012 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.012 * [taylor]: Taking taylor expansion of y in x 7.012 * [backup-simplify]: Simplify y into y 7.012 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.013 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.013 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.013 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.014 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 7.014 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.014 * [taylor]: Taking taylor expansion of -1 in x 7.014 * [backup-simplify]: Simplify -1 into -1 7.014 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.014 * [taylor]: Taking taylor expansion of x in x 7.014 * [backup-simplify]: Simplify 0 into 0 7.014 * [backup-simplify]: Simplify 1 into 1 7.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.014 * [taylor]: Taking taylor expansion of y in x 7.014 * [backup-simplify]: Simplify y into y 7.014 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.014 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.014 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.015 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.015 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.015 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.015 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 7.015 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.015 * [taylor]: Taking taylor expansion of -1 in y 7.015 * [backup-simplify]: Simplify -1 into -1 7.015 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.015 * [taylor]: Taking taylor expansion of x in y 7.015 * [backup-simplify]: Simplify x into x 7.015 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.015 * [taylor]: Taking taylor expansion of y in y 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 1 into 1 7.016 * [backup-simplify]: Simplify (* 1 1) into 1 7.016 * [backup-simplify]: Simplify (* x 1) into x 7.016 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.016 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.016 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.016 * [taylor]: Taking taylor expansion of 0 in y 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [taylor]: Taking taylor expansion of 0 in y 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [backup-simplify]: Simplify 0 into 0 7.016 * [taylor]: Taking taylor expansion of 0 in y 7.016 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 7.017 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 7.017 * [backup-simplify]: Simplify (exp (* x (* y y))) into (exp (* x (pow y 2))) 7.017 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 7.017 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 7.017 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.017 * [taylor]: Taking taylor expansion of x in y 7.017 * [backup-simplify]: Simplify x into x 7.017 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.017 * [taylor]: Taking taylor expansion of y in y 7.017 * [backup-simplify]: Simplify 0 into 0 7.017 * [backup-simplify]: Simplify 1 into 1 7.018 * [backup-simplify]: Simplify (* 1 1) into 1 7.018 * [backup-simplify]: Simplify (* x 1) into x 7.018 * [backup-simplify]: Simplify (exp 0) into 1 7.018 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 7.018 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.018 * [taylor]: Taking taylor expansion of x in x 7.018 * [backup-simplify]: Simplify 0 into 0 7.018 * [backup-simplify]: Simplify 1 into 1 7.018 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.018 * [taylor]: Taking taylor expansion of y in x 7.018 * [backup-simplify]: Simplify y into y 7.018 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.018 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.018 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.019 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.019 * [backup-simplify]: Simplify (exp 0) into 1 7.019 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 7.019 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.019 * [taylor]: Taking taylor expansion of x in x 7.019 * [backup-simplify]: Simplify 0 into 0 7.019 * [backup-simplify]: Simplify 1 into 1 7.019 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.019 * [taylor]: Taking taylor expansion of y in x 7.019 * [backup-simplify]: Simplify y into y 7.019 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.019 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.019 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.020 * [backup-simplify]: Simplify (exp 0) into 1 7.020 * [taylor]: Taking taylor expansion of 1 in y 7.020 * [backup-simplify]: Simplify 1 into 1 7.020 * [backup-simplify]: Simplify 1 into 1 7.020 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 7.020 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.020 * [taylor]: Taking taylor expansion of y in y 7.020 * [backup-simplify]: Simplify 0 into 0 7.020 * [backup-simplify]: Simplify 1 into 1 7.020 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 7.023 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 7.023 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 7.023 * [taylor]: Taking taylor expansion of 1/2 in y 7.023 * [backup-simplify]: Simplify 1/2 into 1/2 7.023 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.023 * [taylor]: Taking taylor expansion of y in y 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.027 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 7.027 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 7.027 * [taylor]: Taking taylor expansion of 1/6 in y 7.027 * [backup-simplify]: Simplify 1/6 into 1/6 7.027 * [taylor]: Taking taylor expansion of (pow y 6) in y 7.027 * [taylor]: Taking taylor expansion of y in y 7.027 * [backup-simplify]: Simplify 0 into 0 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify (* 1 1) into 1 7.027 * [backup-simplify]: Simplify 1 into 1 7.027 * [backup-simplify]: Simplify 0 into 0 7.028 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.032 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 7.033 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 7.033 * [taylor]: Taking taylor expansion of 1/24 in y 7.033 * [backup-simplify]: Simplify 1/24 into 1/24 7.033 * [taylor]: Taking taylor expansion of (pow y 8) in y 7.033 * [taylor]: Taking taylor expansion of y in y 7.033 * [backup-simplify]: Simplify 0 into 0 7.033 * [backup-simplify]: Simplify 1 into 1 7.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.033 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 7.037 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 7.041 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 7.041 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 7.041 * [taylor]: Taking taylor expansion of 1/120 in y 7.041 * [backup-simplify]: Simplify 1/120 into 1/120 7.041 * [taylor]: Taking taylor expansion of (pow y 10) in y 7.041 * [taylor]: Taking taylor expansion of y in y 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.042 * [backup-simplify]: Simplify 0 into 0 7.044 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 7.046 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 7.053 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 7.053 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 7.053 * [taylor]: Taking taylor expansion of 1/720 in y 7.053 * [backup-simplify]: Simplify 1/720 into 1/720 7.053 * [taylor]: Taking taylor expansion of (pow y 12) in y 7.053 * [taylor]: Taking taylor expansion of y in y 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 1 into 1 7.053 * [backup-simplify]: Simplify (* 1 1) into 1 7.053 * [backup-simplify]: Simplify (* 1 1) into 1 7.054 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.054 * [backup-simplify]: Simplify 1/2 into 1/2 7.054 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) 7.054 * [backup-simplify]: Simplify (exp (* (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (exp (/ 1 (* x (pow y 2)))) 7.054 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 7.054 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 7.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.054 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.054 * [taylor]: Taking taylor expansion of x in y 7.054 * [backup-simplify]: Simplify x into x 7.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.054 * [taylor]: Taking taylor expansion of y in y 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify 1 into 1 7.055 * [backup-simplify]: Simplify (* 1 1) into 1 7.055 * [backup-simplify]: Simplify (* x 1) into x 7.055 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.055 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.055 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 7.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.055 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.055 * [taylor]: Taking taylor expansion of x in x 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.055 * [taylor]: Taking taylor expansion of y in x 7.055 * [backup-simplify]: Simplify y into y 7.055 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.055 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.055 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.055 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.056 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.056 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 7.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 7.056 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.056 * [taylor]: Taking taylor expansion of x in x 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.056 * [taylor]: Taking taylor expansion of y in x 7.056 * [backup-simplify]: Simplify y into y 7.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.056 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.056 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.057 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.057 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 7.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 7.057 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.057 * [taylor]: Taking taylor expansion of x in y 7.057 * [backup-simplify]: Simplify x into x 7.057 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.057 * [taylor]: Taking taylor expansion of y in y 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [backup-simplify]: Simplify (* 1 1) into 1 7.057 * [backup-simplify]: Simplify (* x 1) into x 7.057 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 7.057 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.057 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 7.057 * [taylor]: Taking taylor expansion of 0 in y 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [taylor]: Taking taylor expansion of 0 in y 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [taylor]: Taking taylor expansion of 0 in y 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 7.058 * [backup-simplify]: Simplify (exp (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (exp (/ -1 (* x (pow y 2)))) 7.058 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 7.058 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 7.058 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.058 * [taylor]: Taking taylor expansion of -1 in y 7.058 * [backup-simplify]: Simplify -1 into -1 7.058 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.058 * [taylor]: Taking taylor expansion of x in y 7.058 * [backup-simplify]: Simplify x into x 7.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.058 * [taylor]: Taking taylor expansion of y in y 7.058 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (* 1 1) into 1 7.058 * [backup-simplify]: Simplify (* x 1) into x 7.058 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.059 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.059 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 7.059 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.059 * [taylor]: Taking taylor expansion of -1 in x 7.059 * [backup-simplify]: Simplify -1 into -1 7.059 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.059 * [taylor]: Taking taylor expansion of x in x 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.059 * [taylor]: Taking taylor expansion of y in x 7.059 * [backup-simplify]: Simplify y into y 7.059 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.059 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.059 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.059 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.059 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.059 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 7.059 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 7.059 * [taylor]: Taking taylor expansion of -1 in x 7.059 * [backup-simplify]: Simplify -1 into -1 7.060 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 7.060 * [taylor]: Taking taylor expansion of x in x 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.060 * [taylor]: Taking taylor expansion of y in x 7.060 * [backup-simplify]: Simplify y into y 7.060 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.060 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 7.060 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.060 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 7.060 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 7.060 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.060 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 7.060 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 7.060 * [taylor]: Taking taylor expansion of -1 in y 7.060 * [backup-simplify]: Simplify -1 into -1 7.060 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 7.060 * [taylor]: Taking taylor expansion of x in y 7.060 * [backup-simplify]: Simplify x into x 7.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.061 * [taylor]: Taking taylor expansion of y in y 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 1 into 1 7.061 * [backup-simplify]: Simplify (* 1 1) into 1 7.061 * [backup-simplify]: Simplify (* x 1) into x 7.061 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 7.061 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.061 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 7.061 * [taylor]: Taking taylor expansion of 0 in y 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [taylor]: Taking taylor expansion of 0 in y 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [taylor]: Taking taylor expansion of 0 in y 7.061 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify 0 into 0 7.062 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 7.062 * * * [progress]: simplifying candidates 7.062 * [simplify]: Simplifying: (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (exp (* x (* y y)))) (log1p (exp (* x (* y y)))) (exp x) (log (exp (* x (* y y)))) (exp (exp (* x (* y y)))) (* (cbrt (exp (* x (* y y)))) (cbrt (exp (* x (* y y))))) (cbrt (exp (* x (* y y)))) (* (* (exp (* x (* y y))) (exp (* x (* y y)))) (exp (* x (* y y)))) (sqrt (exp (* x (* y y)))) (sqrt (exp (* x (* y y)))) (expm1 (exp (* x (* y y)))) (log1p (exp (* x (* y y)))) (exp x) (log (exp (* x (* y y)))) (exp (exp (* x (* y y)))) (* (cbrt (exp (* x (* y y)))) (cbrt (exp (* x (* y y))))) (cbrt (exp (* x (* y y)))) (* (* (exp (* x (* y y))) (exp (* x (* y y)))) (exp (* x (* y y)))) (sqrt (exp (* x (* y y)))) (sqrt (exp (* x (* y y)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 7.063 * * [simplify]: iteration 0: 56 enodes 7.075 * * [simplify]: iteration 1: 133 enodes 7.134 * * [simplify]: iteration 2: 341 enodes 7.358 * * [simplify]: iteration 3: 1311 enodes 8.314 * * [simplify]: iteration complete: 5029 enodes 8.314 * * [simplify]: Extracting #0: cost 22 inf + 0 8.315 * * [simplify]: Extracting #1: cost 403 inf + 0 8.325 * * [simplify]: Extracting #2: cost 1627 inf + 5417 8.374 * * [simplify]: Extracting #3: cost 689 inf + 123707 8.460 * * [simplify]: Extracting #4: cost 24 inf + 233607 8.552 * * [simplify]: Extracting #5: cost 1 inf + 238554 8.644 * * [simplify]: Extracting #6: cost 0 inf + 238607 8.706 * [simplify]: Simplified to: (expm1 (* y (* y x))) (log1p (* y (* y x))) (* y (* y x)) (* y (* y x)) (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (exp (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (cbrt (* y (* y x))) (cbrt (* y (* y x)))) (cbrt (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (sqrt (* y (* y x))) (sqrt (* y (* y x))) (* y (sqrt x)) (* y (sqrt x)) (* x y) (* (* y y) (cbrt x)) (* y (* y (sqrt x))) (* y (* y x)) (expm1 (* y (* y x))) (log1p (* y (* y x))) (* y (* y x)) (* y (* y x)) (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (exp (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (cbrt (* y (* y x))) (cbrt (* y (* y x)))) (cbrt (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (sqrt (* y (* y x))) (sqrt (* y (* y x))) (* y (sqrt x)) (* y (sqrt x)) (* x y) (* (* y y) (cbrt x)) (* y (* y (sqrt x))) (* y (* y x)) (expm1 (exp (* y (* y x)))) (log1p (exp (* y (* y x)))) (exp x) (* y (* y x)) (exp (exp (* y (* y x)))) (* (cbrt (exp (* y (* y x)))) (cbrt (exp (* y (* y x))))) (cbrt (exp (* y (* y x)))) (exp (* 3 (* y (* y x)))) (sqrt (exp (* y (* y x)))) (sqrt (exp (* y (* y x)))) (expm1 (exp (* y (* y x)))) (log1p (exp (* y (* y x)))) (exp x) (* y (* y x)) (exp (exp (* y (* y x)))) (* (cbrt (exp (* y (* y x)))) (cbrt (exp (* y (* y x))))) (cbrt (exp (* y (* y x)))) (exp (* 3 (* y (* y x)))) (sqrt (exp (* y (* y x)))) (sqrt (exp (* y (* y x)))) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (fma (fma (* y (* y x)) 1/2 1) (* y (* y x)) 1) (exp (* y (* y x))) (exp (* y (* y x))) (fma (fma (* y (* y x)) 1/2 1) (* y (* y x)) 1) (exp (* y (* y x))) (exp (* y (* y x))) 8.713 * * * [progress]: adding candidates to table 9.147 * * [progress]: iteration 4 / 4 9.147 * * * [progress]: picking best candidate 9.151 * * * * [pick]: Picked # 9.151 * * * [progress]: localizing error 9.174 * * * [progress]: generating rewritten candidates 9.174 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 9.198 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 9.224 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 9.249 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.270 * * * [progress]: generating series expansions 9.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 9.270 * [backup-simplify]: Simplify (* x (* y y)) into (* x (pow y 2)) 9.270 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 9.270 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.270 * [taylor]: Taking taylor expansion of x in y 9.270 * [backup-simplify]: Simplify x into x 9.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.270 * [taylor]: Taking taylor expansion of y in y 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 1 into 1 9.270 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.270 * [taylor]: Taking taylor expansion of x in x 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 1 into 1 9.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.270 * [taylor]: Taking taylor expansion of y in x 9.270 * [backup-simplify]: Simplify y into y 9.270 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.270 * [taylor]: Taking taylor expansion of x in x 9.270 * [backup-simplify]: Simplify 0 into 0 9.270 * [backup-simplify]: Simplify 1 into 1 9.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.270 * [taylor]: Taking taylor expansion of y in x 9.270 * [backup-simplify]: Simplify y into y 9.271 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.271 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.271 * [taylor]: Taking taylor expansion of 0 in y 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.272 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.272 * [taylor]: Taking taylor expansion of y in y 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.273 * [backup-simplify]: Simplify (* 1 1) into 1 9.273 * [backup-simplify]: Simplify 1 into 1 9.273 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.274 * [taylor]: Taking taylor expansion of 0 in y 9.274 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.275 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify 0 into 0 9.276 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.277 * [taylor]: Taking taylor expansion of 0 in y 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 9.278 * [backup-simplify]: Simplify (* (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ 1 (* x (pow y 2))) 9.278 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 9.278 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 9.278 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.278 * [taylor]: Taking taylor expansion of x in y 9.278 * [backup-simplify]: Simplify x into x 9.278 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.278 * [taylor]: Taking taylor expansion of y in y 9.278 * [backup-simplify]: Simplify 0 into 0 9.278 * [backup-simplify]: Simplify 1 into 1 9.279 * [backup-simplify]: Simplify (* 1 1) into 1 9.279 * [backup-simplify]: Simplify (* x 1) into x 9.279 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.279 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 9.279 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.279 * [taylor]: Taking taylor expansion of x in x 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.279 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.279 * [taylor]: Taking taylor expansion of y in x 9.279 * [backup-simplify]: Simplify y into y 9.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.279 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.279 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.280 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.280 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 9.280 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.280 * [taylor]: Taking taylor expansion of x in x 9.280 * [backup-simplify]: Simplify 0 into 0 9.280 * [backup-simplify]: Simplify 1 into 1 9.280 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.280 * [taylor]: Taking taylor expansion of y in x 9.280 * [backup-simplify]: Simplify y into y 9.280 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.280 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.280 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.281 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.281 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.281 * [taylor]: Taking taylor expansion of y in y 9.281 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify 1 into 1 9.281 * [backup-simplify]: Simplify (* 1 1) into 1 9.281 * [backup-simplify]: Simplify (/ 1 1) into 1 9.281 * [backup-simplify]: Simplify 1 into 1 9.282 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.282 * [taylor]: Taking taylor expansion of 0 in y 9.282 * [backup-simplify]: Simplify 0 into 0 9.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.283 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.285 * [taylor]: Taking taylor expansion of 0 in y 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.286 * [backup-simplify]: Simplify 0 into 0 9.287 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 9.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.288 * [taylor]: Taking taylor expansion of 0 in y 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify 0 into 0 9.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.289 * [backup-simplify]: Simplify 0 into 0 9.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 9.292 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 9.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.292 * [taylor]: Taking taylor expansion of 0 in y 9.292 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 9.292 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ -1 (* x (pow y 2))) 9.292 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 9.292 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 9.292 * [taylor]: Taking taylor expansion of -1 in y 9.292 * [backup-simplify]: Simplify -1 into -1 9.292 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.292 * [taylor]: Taking taylor expansion of x in y 9.292 * [backup-simplify]: Simplify x into x 9.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.293 * [taylor]: Taking taylor expansion of y in y 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify 1 into 1 9.293 * [backup-simplify]: Simplify (* 1 1) into 1 9.293 * [backup-simplify]: Simplify (* x 1) into x 9.293 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 9.293 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 9.293 * [taylor]: Taking taylor expansion of -1 in x 9.293 * [backup-simplify]: Simplify -1 into -1 9.293 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.293 * [taylor]: Taking taylor expansion of x in x 9.293 * [backup-simplify]: Simplify 0 into 0 9.293 * [backup-simplify]: Simplify 1 into 1 9.293 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.293 * [taylor]: Taking taylor expansion of y in x 9.293 * [backup-simplify]: Simplify y into y 9.293 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.293 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.293 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.294 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.294 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 9.294 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 9.294 * [taylor]: Taking taylor expansion of -1 in x 9.294 * [backup-simplify]: Simplify -1 into -1 9.294 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.294 * [taylor]: Taking taylor expansion of x in x 9.294 * [backup-simplify]: Simplify 0 into 0 9.294 * [backup-simplify]: Simplify 1 into 1 9.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.294 * [taylor]: Taking taylor expansion of y in x 9.294 * [backup-simplify]: Simplify y into y 9.294 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.294 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.294 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.294 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.294 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 9.295 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 9.295 * [taylor]: Taking taylor expansion of -1 in y 9.295 * [backup-simplify]: Simplify -1 into -1 9.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.295 * [taylor]: Taking taylor expansion of y in y 9.295 * [backup-simplify]: Simplify 0 into 0 9.295 * [backup-simplify]: Simplify 1 into 1 9.295 * [backup-simplify]: Simplify (* 1 1) into 1 9.295 * [backup-simplify]: Simplify (/ -1 1) into -1 9.295 * [backup-simplify]: Simplify -1 into -1 9.295 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.296 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.296 * [taylor]: Taking taylor expansion of 0 in y 9.296 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.297 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.299 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.299 * [taylor]: Taking taylor expansion of 0 in y 9.299 * [backup-simplify]: Simplify 0 into 0 9.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.300 * [backup-simplify]: Simplify 0 into 0 9.301 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 9.302 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.302 * [taylor]: Taking taylor expansion of 0 in y 9.302 * [backup-simplify]: Simplify 0 into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.304 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 9.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 9.306 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.306 * [taylor]: Taking taylor expansion of 0 in y 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 9.307 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 9.307 * [backup-simplify]: Simplify (* x (* y y)) into (* x (pow y 2)) 9.307 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 9.307 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.307 * [taylor]: Taking taylor expansion of x in y 9.307 * [backup-simplify]: Simplify x into x 9.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.307 * [taylor]: Taking taylor expansion of y in y 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify 1 into 1 9.307 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.307 * [taylor]: Taking taylor expansion of x in x 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify 1 into 1 9.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.307 * [taylor]: Taking taylor expansion of y in x 9.307 * [backup-simplify]: Simplify y into y 9.307 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.307 * [taylor]: Taking taylor expansion of x in x 9.307 * [backup-simplify]: Simplify 0 into 0 9.307 * [backup-simplify]: Simplify 1 into 1 9.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.307 * [taylor]: Taking taylor expansion of y in x 9.307 * [backup-simplify]: Simplify y into y 9.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.308 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.308 * [taylor]: Taking taylor expansion of 0 in y 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.308 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.308 * [taylor]: Taking taylor expansion of y in y 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify 1 into 1 9.308 * [backup-simplify]: Simplify (* 1 1) into 1 9.309 * [backup-simplify]: Simplify 1 into 1 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.309 * [taylor]: Taking taylor expansion of 0 in y 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.311 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.311 * [taylor]: Taking taylor expansion of 0 in y 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 9.312 * [backup-simplify]: Simplify (* (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ 1 (* x (pow y 2))) 9.312 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 9.312 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 9.312 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.312 * [taylor]: Taking taylor expansion of x in y 9.312 * [backup-simplify]: Simplify x into x 9.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.312 * [taylor]: Taking taylor expansion of y in y 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (* 1 1) into 1 9.312 * [backup-simplify]: Simplify (* x 1) into x 9.312 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.312 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 9.312 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.312 * [taylor]: Taking taylor expansion of x in x 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.312 * [taylor]: Taking taylor expansion of y in x 9.313 * [backup-simplify]: Simplify y into y 9.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.313 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.313 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.313 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.314 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 9.314 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.314 * [taylor]: Taking taylor expansion of x in x 9.314 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify 1 into 1 9.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.314 * [taylor]: Taking taylor expansion of y in x 9.314 * [backup-simplify]: Simplify y into y 9.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.314 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.314 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.315 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.315 * [taylor]: Taking taylor expansion of y in y 9.315 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify 1 into 1 9.315 * [backup-simplify]: Simplify (* 1 1) into 1 9.316 * [backup-simplify]: Simplify (/ 1 1) into 1 9.316 * [backup-simplify]: Simplify 1 into 1 9.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.318 * [taylor]: Taking taylor expansion of 0 in y 9.318 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.320 * [backup-simplify]: Simplify 0 into 0 9.320 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.322 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.322 * [taylor]: Taking taylor expansion of 0 in y 9.322 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 9.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.328 * [taylor]: Taking taylor expansion of 0 in y 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 9.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 9.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.335 * [taylor]: Taking taylor expansion of 0 in y 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 9.335 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ -1 (* x (pow y 2))) 9.335 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 9.335 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 9.336 * [taylor]: Taking taylor expansion of -1 in y 9.336 * [backup-simplify]: Simplify -1 into -1 9.336 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.336 * [taylor]: Taking taylor expansion of x in y 9.336 * [backup-simplify]: Simplify x into x 9.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.336 * [taylor]: Taking taylor expansion of y in y 9.336 * [backup-simplify]: Simplify 0 into 0 9.336 * [backup-simplify]: Simplify 1 into 1 9.336 * [backup-simplify]: Simplify (* 1 1) into 1 9.336 * [backup-simplify]: Simplify (* x 1) into x 9.336 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 9.336 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 9.336 * [taylor]: Taking taylor expansion of -1 in x 9.336 * [backup-simplify]: Simplify -1 into -1 9.337 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.337 * [taylor]: Taking taylor expansion of x in x 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.337 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.337 * [taylor]: Taking taylor expansion of y in x 9.337 * [backup-simplify]: Simplify y into y 9.337 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.337 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.337 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.338 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.338 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 9.338 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 9.338 * [taylor]: Taking taylor expansion of -1 in x 9.338 * [backup-simplify]: Simplify -1 into -1 9.338 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.338 * [taylor]: Taking taylor expansion of x in x 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify 1 into 1 9.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.338 * [taylor]: Taking taylor expansion of y in x 9.338 * [backup-simplify]: Simplify y into y 9.338 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.338 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.338 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.339 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.339 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 9.339 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 9.339 * [taylor]: Taking taylor expansion of -1 in y 9.339 * [backup-simplify]: Simplify -1 into -1 9.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.339 * [taylor]: Taking taylor expansion of y in y 9.339 * [backup-simplify]: Simplify 0 into 0 9.339 * [backup-simplify]: Simplify 1 into 1 9.340 * [backup-simplify]: Simplify (* 1 1) into 1 9.340 * [backup-simplify]: Simplify (/ -1 1) into -1 9.340 * [backup-simplify]: Simplify -1 into -1 9.341 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.342 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.342 * [taylor]: Taking taylor expansion of 0 in y 9.342 * [backup-simplify]: Simplify 0 into 0 9.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.344 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.347 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.347 * [taylor]: Taking taylor expansion of 0 in y 9.347 * [backup-simplify]: Simplify 0 into 0 9.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.349 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 9.352 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.352 * [taylor]: Taking taylor expansion of 0 in y 9.352 * [backup-simplify]: Simplify 0 into 0 9.353 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.355 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 9.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 9.360 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.360 * [taylor]: Taking taylor expansion of 0 in y 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify 0 into 0 9.360 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 9.360 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 9.360 * [backup-simplify]: Simplify (* x (* y y)) into (* x (pow y 2)) 9.360 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 9.360 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.361 * [taylor]: Taking taylor expansion of x in y 9.361 * [backup-simplify]: Simplify x into x 9.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.361 * [taylor]: Taking taylor expansion of y in y 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.361 * [taylor]: Taking taylor expansion of x in x 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.361 * [taylor]: Taking taylor expansion of y in x 9.361 * [backup-simplify]: Simplify y into y 9.361 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.361 * [taylor]: Taking taylor expansion of x in x 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 1 into 1 9.361 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.361 * [taylor]: Taking taylor expansion of y in x 9.361 * [backup-simplify]: Simplify y into y 9.361 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.361 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.361 * [taylor]: Taking taylor expansion of 0 in y 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify 0 into 0 9.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.362 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.362 * [taylor]: Taking taylor expansion of y in y 9.362 * [backup-simplify]: Simplify 0 into 0 9.362 * [backup-simplify]: Simplify 1 into 1 9.363 * [backup-simplify]: Simplify (* 1 1) into 1 9.363 * [backup-simplify]: Simplify 1 into 1 9.363 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.364 * [taylor]: Taking taylor expansion of 0 in y 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 0 into 0 9.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.365 * [backup-simplify]: Simplify 0 into 0 9.365 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.367 * [taylor]: Taking taylor expansion of 0 in y 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify (* 1 (* (pow y 2) x)) into (* x (pow y 2)) 9.368 * [backup-simplify]: Simplify (* (/ 1 x) (* (/ 1 y) (/ 1 y))) into (/ 1 (* x (pow y 2))) 9.368 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 9.368 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 9.368 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.368 * [taylor]: Taking taylor expansion of x in y 9.368 * [backup-simplify]: Simplify x into x 9.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.368 * [taylor]: Taking taylor expansion of y in y 9.368 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify 1 into 1 9.369 * [backup-simplify]: Simplify (* 1 1) into 1 9.369 * [backup-simplify]: Simplify (* x 1) into x 9.369 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.369 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 9.369 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.369 * [taylor]: Taking taylor expansion of x in x 9.369 * [backup-simplify]: Simplify 0 into 0 9.369 * [backup-simplify]: Simplify 1 into 1 9.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.369 * [taylor]: Taking taylor expansion of y in x 9.369 * [backup-simplify]: Simplify y into y 9.369 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.369 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.369 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.370 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.370 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 9.370 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.370 * [taylor]: Taking taylor expansion of x in x 9.370 * [backup-simplify]: Simplify 0 into 0 9.370 * [backup-simplify]: Simplify 1 into 1 9.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.370 * [taylor]: Taking taylor expansion of y in x 9.370 * [backup-simplify]: Simplify y into y 9.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.371 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.371 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.371 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 9.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.372 * [taylor]: Taking taylor expansion of y in y 9.372 * [backup-simplify]: Simplify 0 into 0 9.372 * [backup-simplify]: Simplify 1 into 1 9.372 * [backup-simplify]: Simplify (* 1 1) into 1 9.372 * [backup-simplify]: Simplify (/ 1 1) into 1 9.372 * [backup-simplify]: Simplify 1 into 1 9.373 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.374 * [taylor]: Taking taylor expansion of 0 in y 9.374 * [backup-simplify]: Simplify 0 into 0 9.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.376 * [backup-simplify]: Simplify 0 into 0 9.376 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.377 * [taylor]: Taking taylor expansion of 0 in y 9.377 * [backup-simplify]: Simplify 0 into 0 9.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.378 * [backup-simplify]: Simplify 0 into 0 9.379 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 9.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.380 * [taylor]: Taking taylor expansion of 0 in y 9.380 * [backup-simplify]: Simplify 0 into 0 9.381 * [backup-simplify]: Simplify 0 into 0 9.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.382 * [backup-simplify]: Simplify 0 into 0 9.383 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 9.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 9.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.384 * [taylor]: Taking taylor expansion of 0 in y 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify 0 into 0 9.384 * [backup-simplify]: Simplify (* 1 (* (pow (/ 1 y) -2) (/ 1 (/ 1 x)))) into (* x (pow y 2)) 9.385 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ -1 (* x (pow y 2))) 9.385 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 9.385 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 9.385 * [taylor]: Taking taylor expansion of -1 in y 9.385 * [backup-simplify]: Simplify -1 into -1 9.385 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.385 * [taylor]: Taking taylor expansion of x in y 9.385 * [backup-simplify]: Simplify x into x 9.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.385 * [taylor]: Taking taylor expansion of y in y 9.385 * [backup-simplify]: Simplify 0 into 0 9.385 * [backup-simplify]: Simplify 1 into 1 9.387 * [backup-simplify]: Simplify (* 1 1) into 1 9.387 * [backup-simplify]: Simplify (* x 1) into x 9.387 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 9.387 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 9.387 * [taylor]: Taking taylor expansion of -1 in x 9.387 * [backup-simplify]: Simplify -1 into -1 9.387 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.387 * [taylor]: Taking taylor expansion of x in x 9.387 * [backup-simplify]: Simplify 0 into 0 9.387 * [backup-simplify]: Simplify 1 into 1 9.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.387 * [taylor]: Taking taylor expansion of y in x 9.387 * [backup-simplify]: Simplify y into y 9.387 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.387 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.387 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.388 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 9.388 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 9.388 * [taylor]: Taking taylor expansion of -1 in x 9.388 * [backup-simplify]: Simplify -1 into -1 9.388 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.388 * [taylor]: Taking taylor expansion of x in x 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 1 into 1 9.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.388 * [taylor]: Taking taylor expansion of y in x 9.388 * [backup-simplify]: Simplify y into y 9.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.388 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.388 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.388 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 9.389 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 9.389 * [taylor]: Taking taylor expansion of -1 in y 9.389 * [backup-simplify]: Simplify -1 into -1 9.389 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.389 * [taylor]: Taking taylor expansion of y in y 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [backup-simplify]: Simplify (* 1 1) into 1 9.389 * [backup-simplify]: Simplify (/ -1 1) into -1 9.389 * [backup-simplify]: Simplify -1 into -1 9.389 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.390 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))))) into 0 9.390 * [taylor]: Taking taylor expansion of 0 in y 9.390 * [backup-simplify]: Simplify 0 into 0 9.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.391 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.393 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.393 * [taylor]: Taking taylor expansion of 0 in y 9.393 * [backup-simplify]: Simplify 0 into 0 9.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.394 * [backup-simplify]: Simplify 0 into 0 9.395 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 9.396 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.396 * [taylor]: Taking taylor expansion of 0 in y 9.396 * [backup-simplify]: Simplify 0 into 0 9.396 * [backup-simplify]: Simplify 0 into 0 9.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.398 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 9.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 9.400 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ -1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 9.400 * [taylor]: Taking taylor expansion of 0 in y 9.400 * [backup-simplify]: Simplify 0 into 0 9.400 * [backup-simplify]: Simplify 0 into 0 9.400 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify (* -1 (* (pow (/ 1 (- y)) -2) (/ 1 (/ 1 (- x))))) into (* x (pow y 2)) 9.401 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.401 * [backup-simplify]: Simplify (exp (* x (* y y))) into (exp (* x (pow y 2))) 9.401 * [approximate]: Taking taylor expansion of (exp (* x (pow y 2))) in (x y) around 0 9.401 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in y 9.401 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.401 * [taylor]: Taking taylor expansion of x in y 9.401 * [backup-simplify]: Simplify x into x 9.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.401 * [taylor]: Taking taylor expansion of y in y 9.401 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify 1 into 1 9.401 * [backup-simplify]: Simplify (* 1 1) into 1 9.401 * [backup-simplify]: Simplify (* x 1) into x 9.401 * [backup-simplify]: Simplify (exp 0) into 1 9.401 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 9.401 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.401 * [taylor]: Taking taylor expansion of x in x 9.401 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify 1 into 1 9.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.401 * [taylor]: Taking taylor expansion of y in x 9.401 * [backup-simplify]: Simplify y into y 9.401 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.402 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.402 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.402 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.402 * [backup-simplify]: Simplify (exp 0) into 1 9.402 * [taylor]: Taking taylor expansion of (exp (* x (pow y 2))) in x 9.402 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.402 * [taylor]: Taking taylor expansion of x in x 9.402 * [backup-simplify]: Simplify 0 into 0 9.402 * [backup-simplify]: Simplify 1 into 1 9.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.402 * [taylor]: Taking taylor expansion of y in x 9.402 * [backup-simplify]: Simplify y into y 9.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.402 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.402 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.403 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.403 * [backup-simplify]: Simplify (exp 0) into 1 9.403 * [taylor]: Taking taylor expansion of 1 in y 9.403 * [backup-simplify]: Simplify 1 into 1 9.403 * [backup-simplify]: Simplify 1 into 1 9.403 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 1) 1)))) into (pow y 2) 9.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.403 * [taylor]: Taking taylor expansion of y in y 9.403 * [backup-simplify]: Simplify 0 into 0 9.403 * [backup-simplify]: Simplify 1 into 1 9.403 * [backup-simplify]: Simplify 0 into 0 9.403 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 9.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow y 2)))) into 0 9.404 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow y 4)) 9.404 * [taylor]: Taking taylor expansion of (* 1/2 (pow y 4)) in y 9.404 * [taylor]: Taking taylor expansion of 1/2 in y 9.404 * [backup-simplify]: Simplify 1/2 into 1/2 9.404 * [taylor]: Taking taylor expansion of (pow y 4) in y 9.404 * [taylor]: Taking taylor expansion of y in y 9.404 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify 1 into 1 9.405 * [backup-simplify]: Simplify 0 into 0 9.405 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 9.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 9.407 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 3) 6)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/6 (pow y 6)) 9.407 * [taylor]: Taking taylor expansion of (* 1/6 (pow y 6)) in y 9.407 * [taylor]: Taking taylor expansion of 1/6 in y 9.407 * [backup-simplify]: Simplify 1/6 into 1/6 9.407 * [taylor]: Taking taylor expansion of (pow y 6) in y 9.407 * [taylor]: Taking taylor expansion of y in y 9.407 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [backup-simplify]: Simplify (* 1 1) into 1 9.407 * [backup-simplify]: Simplify 1 into 1 9.407 * [backup-simplify]: Simplify 0 into 0 9.408 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 9.409 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 9.411 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 4) 24)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/24 (pow y 8)) 9.411 * [taylor]: Taking taylor expansion of (* 1/24 (pow y 8)) in y 9.411 * [taylor]: Taking taylor expansion of 1/24 in y 9.411 * [backup-simplify]: Simplify 1/24 into 1/24 9.411 * [taylor]: Taking taylor expansion of (pow y 8) in y 9.411 * [taylor]: Taking taylor expansion of y in y 9.411 * [backup-simplify]: Simplify 0 into 0 9.411 * [backup-simplify]: Simplify 1 into 1 9.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 9.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 9.416 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 5) 120)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* 1/120 (pow y 10)) 9.416 * [taylor]: Taking taylor expansion of (* 1/120 (pow y 10)) in y 9.416 * [taylor]: Taking taylor expansion of 1/120 in y 9.416 * [backup-simplify]: Simplify 1/120 into 1/120 9.416 * [taylor]: Taking taylor expansion of (pow y 10) in y 9.416 * [taylor]: Taking taylor expansion of y in y 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 1 into 1 9.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))))) into 0 9.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))))) into 0 9.424 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow (pow y 2) 6) 720)) (* (/ (pow (pow y 2) 4) 24) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 3) 6) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 2) 2)) (* (/ (pow (pow y 2) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (pow y 2) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/720 (pow y 12)) 9.424 * [taylor]: Taking taylor expansion of (* 1/720 (pow y 12)) in y 9.424 * [taylor]: Taking taylor expansion of 1/720 in y 9.425 * [backup-simplify]: Simplify 1/720 into 1/720 9.425 * [taylor]: Taking taylor expansion of (pow y 12) in y 9.425 * [taylor]: Taking taylor expansion of y in y 9.425 * [backup-simplify]: Simplify 0 into 0 9.425 * [backup-simplify]: Simplify 1 into 1 9.425 * [backup-simplify]: Simplify (* 1 1) into 1 9.425 * [backup-simplify]: Simplify (* 1 1) into 1 9.425 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.425 * [backup-simplify]: Simplify 1/2 into 1/2 9.426 * [backup-simplify]: Simplify (+ (* 1/2 (pow (* (pow y 2) x) 2)) (+ (* 1 (* (pow y 2) x)) 1)) into (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) 9.426 * [backup-simplify]: Simplify (exp (* (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (exp (/ 1 (* x (pow y 2)))) 9.426 * [approximate]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in (x y) around 0 9.426 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 9.426 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 9.426 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.426 * [taylor]: Taking taylor expansion of x in y 9.426 * [backup-simplify]: Simplify x into x 9.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.426 * [taylor]: Taking taylor expansion of y in y 9.426 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify 1 into 1 9.426 * [backup-simplify]: Simplify (* 1 1) into 1 9.426 * [backup-simplify]: Simplify (* x 1) into x 9.426 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.426 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 9.426 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 9.427 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 9.427 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.427 * [taylor]: Taking taylor expansion of x in x 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify 1 into 1 9.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.427 * [taylor]: Taking taylor expansion of y in x 9.427 * [backup-simplify]: Simplify y into y 9.427 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.427 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.427 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.427 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 9.427 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in x 9.427 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 9.427 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.427 * [taylor]: Taking taylor expansion of x in x 9.427 * [backup-simplify]: Simplify 0 into 0 9.427 * [backup-simplify]: Simplify 1 into 1 9.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.427 * [taylor]: Taking taylor expansion of y in x 9.427 * [backup-simplify]: Simplify y into y 9.428 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.428 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.428 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.428 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.428 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 9.428 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 9.428 * [taylor]: Taking taylor expansion of (exp (/ 1 (* x (pow y 2)))) in y 9.428 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 9.428 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.428 * [taylor]: Taking taylor expansion of x in y 9.428 * [backup-simplify]: Simplify x into x 9.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.428 * [taylor]: Taking taylor expansion of y in y 9.428 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify 1 into 1 9.429 * [backup-simplify]: Simplify (* 1 1) into 1 9.429 * [backup-simplify]: Simplify (* x 1) into x 9.429 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 9.429 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 9.429 * [backup-simplify]: Simplify (exp (/ 1 (* x (pow y 2)))) into (exp (/ 1 (* x (pow y 2)))) 9.429 * [taylor]: Taking taylor expansion of 0 in y 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [taylor]: Taking taylor expansion of 0 in y 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [taylor]: Taking taylor expansion of 0 in y 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify 0 into 0 9.429 * [backup-simplify]: Simplify (exp (/ 1 (* (/ 1 x) (pow (/ 1 y) 2)))) into (exp (* x (pow y 2))) 9.430 * [backup-simplify]: Simplify (exp (* (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (exp (/ -1 (* x (pow y 2)))) 9.430 * [approximate]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in (x y) around 0 9.430 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 9.430 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 9.430 * [taylor]: Taking taylor expansion of -1 in y 9.430 * [backup-simplify]: Simplify -1 into -1 9.430 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.430 * [taylor]: Taking taylor expansion of x in y 9.430 * [backup-simplify]: Simplify x into x 9.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.430 * [taylor]: Taking taylor expansion of y in y 9.430 * [backup-simplify]: Simplify 0 into 0 9.430 * [backup-simplify]: Simplify 1 into 1 9.430 * [backup-simplify]: Simplify (* 1 1) into 1 9.430 * [backup-simplify]: Simplify (* x 1) into x 9.430 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 9.430 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 9.431 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 9.431 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 9.431 * [taylor]: Taking taylor expansion of -1 in x 9.431 * [backup-simplify]: Simplify -1 into -1 9.431 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.431 * [taylor]: Taking taylor expansion of x in x 9.431 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify 1 into 1 9.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.431 * [taylor]: Taking taylor expansion of y in x 9.431 * [backup-simplify]: Simplify y into y 9.431 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.431 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.431 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.431 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.431 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 9.431 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 9.431 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in x 9.431 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 9.431 * [taylor]: Taking taylor expansion of -1 in x 9.431 * [backup-simplify]: Simplify -1 into -1 9.431 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 9.431 * [taylor]: Taking taylor expansion of x in x 9.431 * [backup-simplify]: Simplify 0 into 0 9.431 * [backup-simplify]: Simplify 1 into 1 9.432 * [taylor]: Taking taylor expansion of (pow y 2) in x 9.432 * [taylor]: Taking taylor expansion of y in x 9.432 * [backup-simplify]: Simplify y into y 9.432 * [backup-simplify]: Simplify (* y y) into (pow y 2) 9.432 * [backup-simplify]: Simplify (* 0 (pow y 2)) into 0 9.432 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 9.432 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow y 2))) into (pow y 2) 9.432 * [backup-simplify]: Simplify (/ -1 (pow y 2)) into (/ -1 (pow y 2)) 9.432 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 9.432 * [taylor]: Taking taylor expansion of (exp (/ -1 (* x (pow y 2)))) in y 9.432 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 9.432 * [taylor]: Taking taylor expansion of -1 in y 9.432 * [backup-simplify]: Simplify -1 into -1 9.432 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 9.432 * [taylor]: Taking taylor expansion of x in y 9.432 * [backup-simplify]: Simplify x into x 9.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 9.432 * [taylor]: Taking taylor expansion of y in y 9.432 * [backup-simplify]: Simplify 0 into 0 9.432 * [backup-simplify]: Simplify 1 into 1 9.433 * [backup-simplify]: Simplify (* 1 1) into 1 9.433 * [backup-simplify]: Simplify (* x 1) into x 9.433 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x) 9.433 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 9.433 * [backup-simplify]: Simplify (exp (/ -1 (* x (pow y 2)))) into (exp (/ -1 (* x (pow y 2)))) 9.433 * [taylor]: Taking taylor expansion of 0 in y 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [taylor]: Taking taylor expansion of 0 in y 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [taylor]: Taking taylor expansion of 0 in y 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify 0 into 0 9.433 * [backup-simplify]: Simplify (exp (/ -1 (* (/ 1 (- x)) (pow (/ 1 (- y)) 2)))) into (exp (* x (pow y 2))) 9.433 * * * [progress]: simplifying candidates 9.434 * [simplify]: Simplifying: (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (* x (* y y))) (log1p (* x (* y y))) (* x (* y y)) (* x (* y y)) (+ (log x) (+ (log y) (log y))) (+ (log x) (log (* y y))) (log (* x (* y y))) (exp (* x (* y y))) (* (* (* x x) x) (* (* (* y y) y) (* (* y y) y))) (* (* (* x x) x) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* x (* y y))) (cbrt (* x (* y y)))) (cbrt (* x (* y y))) (* (* (* x (* y y)) (* x (* y y))) (* x (* y y))) (sqrt (* x (* y y))) (sqrt (* x (* y y))) (* (sqrt x) y) (* (sqrt x) y) (* x y) (* (cbrt x) (* y y)) (* (sqrt x) (* y y)) (* x (* y y)) (expm1 (exp (* x (* y y)))) (log1p (exp (* x (* y y)))) (exp x) (log (exp (* x (* y y)))) (exp (exp (* x (* y y)))) (* (cbrt (exp (* x (* y y)))) (cbrt (exp (* x (* y y))))) (cbrt (exp (* x (* y y)))) (* (* (exp (* x (* y y))) (exp (* x (* y y)))) (exp (* x (* y y)))) (sqrt (exp (* x (* y y)))) (sqrt (exp (* x (* y y)))) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (+ (* 1/2 (* (pow x 2) (pow y 4))) (+ (* x (pow y 2)) 1)) (exp (* x (pow y 2))) (exp (* x (pow y 2))) 9.435 * * [simplify]: iteration 0: 56 enodes 9.459 * * [simplify]: iteration 1: 133 enodes 9.513 * * [simplify]: iteration 2: 341 enodes 9.794 * * [simplify]: iteration 3: 1311 enodes 10.778 * * [simplify]: iteration complete: 5029 enodes 10.778 * * [simplify]: Extracting #0: cost 22 inf + 0 10.779 * * [simplify]: Extracting #1: cost 403 inf + 0 10.784 * * [simplify]: Extracting #2: cost 1627 inf + 5417 10.814 * * [simplify]: Extracting #3: cost 689 inf + 123707 10.881 * * [simplify]: Extracting #4: cost 24 inf + 233607 10.934 * * [simplify]: Extracting #5: cost 1 inf + 238554 10.995 * * [simplify]: Extracting #6: cost 0 inf + 238607 11.051 * [simplify]: Simplified to: (expm1 (* y (* y x))) (log1p (* y (* y x))) (* y (* y x)) (* y (* y x)) (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (exp (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (cbrt (* y (* y x))) (cbrt (* y (* y x)))) (cbrt (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (sqrt (* y (* y x))) (sqrt (* y (* y x))) (* y (sqrt x)) (* y (sqrt x)) (* x y) (* (* y y) (cbrt x)) (* y (* y (sqrt x))) (* y (* y x)) (expm1 (* y (* y x))) (log1p (* y (* y x))) (* y (* y x)) (* y (* y x)) (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (exp (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (cbrt (* y (* y x))) (cbrt (* y (* y x)))) (cbrt (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (sqrt (* y (* y x))) (sqrt (* y (* y x))) (* y (sqrt x)) (* y (sqrt x)) (* x y) (* (* y y) (cbrt x)) (* y (* y (sqrt x))) (* y (* y x)) (expm1 (* y (* y x))) (log1p (* y (* y x))) (* y (* y x)) (* y (* y x)) (log (* y (* y x))) (log (* y (* y x))) (log (* y (* y x))) (exp (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (* (cbrt (* y (* y x))) (cbrt (* y (* y x)))) (cbrt (* y (* y x))) (* (* y (* y x)) (* (* y (* y x)) (* y (* y x)))) (sqrt (* y (* y x))) (sqrt (* y (* y x))) (* y (sqrt x)) (* y (sqrt x)) (* x y) (* (* y y) (cbrt x)) (* y (* y (sqrt x))) (* y (* y x)) (expm1 (exp (* y (* y x)))) (log1p (exp (* y (* y x)))) (exp x) (* y (* y x)) (exp (exp (* y (* y x)))) (* (cbrt (exp (* y (* y x)))) (cbrt (exp (* y (* y x))))) (cbrt (exp (* y (* y x)))) (exp (* 3 (* y (* y x)))) (sqrt (exp (* y (* y x)))) (sqrt (exp (* y (* y x)))) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (* y (* y x)) (fma (fma (* y (* y x)) 1/2 1) (* y (* y x)) 1) (exp (* y (* y x))) (exp (* y (* y x))) 11.056 * * * [progress]: adding candidates to table 11.565 * [progress]: [Phase 3 of 3] Extracting. 11.565 * * [regime]: Finding splitpoints for: (# # #) 11.565 * * * [regime-changes]: Trying 2 branch expressions: (y x) 11.565 * * * * [regimes]: Trying to branch on y from (# # #) 11.604 * * * * [regimes]: Trying to branch on x from (# # #) 11.635 * * * [regime]: Found split indices: #