29.303 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying: (/ x (+ 1.0 (sqrt (+ x 1.0)))) 0.018 * [simplify]: Sending expressions to egg_math: (/ h0 (+ 1.0 (sqrt (+ h0 1.0)))) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.078 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.086 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.103 * * * [progress]: generating series expansions 0.103 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.103 * [backup-simplify]: Simplify (/ x (+ 1.0 (sqrt (+ x 1.0)))) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 0.104 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.104 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.105 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.105 * [backup-simplify]: Simplify (+ 1 0) into 1 0.106 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [backup-simplify]: Simplify 1.0 into 1.0 0.107 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.448 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.448 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.448 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 1 into 1 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [backup-simplify]: Simplify 1.0 into 1.0 0.448 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.448 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.450 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.450 * [taylor]: Taking taylor expansion of 1.0 in x 0.450 * [backup-simplify]: Simplify 1.0 into 1.0 0.450 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.451 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.453 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 0.454 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 0.463 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.467 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.472 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.493 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.503 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0.526 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0.526 * [backup-simplify]: Simplify (/ (/ 1 x) (+ 1.0 (sqrt (+ (/ 1 x) 1.0)))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 0.526 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.526 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [backup-simplify]: Simplify 1.0 into 1.0 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [backup-simplify]: Simplify (+ 0 1) into 1 0.527 * [backup-simplify]: Simplify (sqrt 0) into 0 0.528 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.528 * [backup-simplify]: Simplify 1.0 into 1.0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (* 0 0) into 0 0.529 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.529 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.532 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.532 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.534 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.535 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.535 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 0.535 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.535 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [backup-simplify]: Simplify 1.0 into 1.0 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [backup-simplify]: Simplify (+ 0 1) into 1 0.536 * [backup-simplify]: Simplify (sqrt 0) into 0 0.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [backup-simplify]: Simplify 1.0 into 1.0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (* 0 0) into 0 0.538 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.538 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.541 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.541 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.543 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.544 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 0.544 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.552 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.557 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 0.560 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.561 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.568 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.571 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 0.574 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.574 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.575 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.575 * [backup-simplify]: Simplify (/ (/ 1 (- x)) (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0)))) into (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 0.575 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 0.575 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.575 * [taylor]: Taking taylor expansion of -1 in x 0.575 * [backup-simplify]: Simplify -1 into -1 0.575 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.575 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [backup-simplify]: Simplify 1.0 into 1.0 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [backup-simplify]: Simplify (- 1) into -1 0.576 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.576 * [backup-simplify]: Simplify (sqrt 0) into 0 0.577 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [backup-simplify]: Simplify 1.0 into 1.0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (* 0 0) into 0 0.578 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.579 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.582 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.582 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.584 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.585 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 0.585 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 0.585 * [taylor]: Taking taylor expansion of -1 in x 0.585 * [backup-simplify]: Simplify -1 into -1 0.585 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.585 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.585 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.585 * [taylor]: Taking taylor expansion of 1.0 in x 0.585 * [backup-simplify]: Simplify 1.0 into 1.0 0.585 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.585 * [taylor]: Taking taylor expansion of x in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [backup-simplify]: Simplify (- 1) into -1 0.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.586 * [backup-simplify]: Simplify (sqrt 0) into 0 0.587 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (* 0 0) into 0 0.588 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.588 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- 0) into 0 0.589 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.591 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.591 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.593 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 0.594 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 0.594 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- 0) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.598 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.601 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 0.605 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.605 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- 0) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.613 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.618 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 0.624 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.625 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.626 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 0.626 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.626 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.626 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.626 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [backup-simplify]: Simplify 1.0 into 1.0 0.627 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.627 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.628 * [backup-simplify]: Simplify (+ 1 0) into 1 0.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.629 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.629 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [backup-simplify]: Simplify 1.0 into 1.0 0.630 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.630 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.631 * [backup-simplify]: Simplify (+ 1 0) into 1 0.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.633 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.633 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.633 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.638 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.640 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.640 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.640 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.640 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.640 * [backup-simplify]: Simplify 1.0 into 1.0 0.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (/ 1 1) into 1 0.641 * [backup-simplify]: Simplify (+ 0 1) into 1 0.641 * [backup-simplify]: Simplify (sqrt 0) into 0 0.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.642 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [backup-simplify]: Simplify 1.0 into 1.0 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (/ 1 1) into 1 0.643 * [backup-simplify]: Simplify (+ 0 1) into 1 0.643 * [backup-simplify]: Simplify (sqrt 0) into 0 0.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.647 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.647 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.650 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.650 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.650 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.650 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.650 * [taylor]: Taking taylor expansion of 1.0 in x 0.650 * [backup-simplify]: Simplify 1.0 into 1.0 0.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.650 * [taylor]: Taking taylor expansion of x in x 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [backup-simplify]: Simplify (- 1) into -1 0.651 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.651 * [backup-simplify]: Simplify (sqrt 0) into 0 0.652 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.652 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [backup-simplify]: Simplify 1.0 into 1.0 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (- 1) into -1 0.653 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.653 * [backup-simplify]: Simplify (sqrt 0) into 0 0.654 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (- 0) into 0 0.655 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.657 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.657 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify (- 0) into 0 0.658 * [backup-simplify]: Simplify (+ 0 0) into 0 0.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.666 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.666 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.667 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.667 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ x 1.0))) into (+ (sqrt (+ x 1.0)) 1.0) 0.667 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 0.667 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.667 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [backup-simplify]: Simplify 1.0 into 1.0 0.668 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.668 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.669 * [backup-simplify]: Simplify (+ 1 0) into 1 0.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.670 * [backup-simplify]: Simplify 1.0 into 1.0 0.670 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.671 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.671 * [taylor]: Taking taylor expansion of x in x 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify 1 into 1 0.671 * [taylor]: Taking taylor expansion of 1.0 in x 0.671 * [backup-simplify]: Simplify 1.0 into 1.0 0.671 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.672 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.672 * [backup-simplify]: Simplify (+ 1 0) into 1 0.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [backup-simplify]: Simplify 1.0 into 1.0 0.675 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.676 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 0.677 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 0.679 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.685 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.687 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.691 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 0.697 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (+ (sqrt 1.0) 1.0))) into (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.697 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) into (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) 0.697 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 0.697 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.697 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of 1.0 in x 0.697 * [backup-simplify]: Simplify 1.0 into 1.0 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [backup-simplify]: Simplify (+ 0 1) into 1 0.699 * [backup-simplify]: Simplify (sqrt 0) into 0 0.700 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [backup-simplify]: Simplify 1.0 into 1.0 0.700 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.700 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [backup-simplify]: Simplify 1.0 into 1.0 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [backup-simplify]: Simplify (+ 0 1) into 1 0.702 * [backup-simplify]: Simplify (sqrt 0) into 0 0.703 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.703 * [taylor]: Taking taylor expansion of 1.0 in x 0.703 * [backup-simplify]: Simplify 1.0 into 1.0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.704 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.706 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.709 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.709 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.710 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.715 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.715 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.717 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.717 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) into (+ (sqrt (- 1.0 (/ 1 x))) 1.0) 0.717 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 0.717 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.717 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.717 * [taylor]: Taking taylor expansion of 1.0 in x 0.717 * [backup-simplify]: Simplify 1.0 into 1.0 0.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.717 * [taylor]: Taking taylor expansion of x in x 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 1 into 1 0.718 * [backup-simplify]: Simplify (/ 1 1) into 1 0.718 * [backup-simplify]: Simplify (- 1) into -1 0.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.719 * [backup-simplify]: Simplify (sqrt 0) into 0 0.720 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [backup-simplify]: Simplify 1.0 into 1.0 0.720 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 0.720 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.720 * [taylor]: Taking taylor expansion of 1.0 in x 0.720 * [backup-simplify]: Simplify 1.0 into 1.0 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.720 * [taylor]: Taking taylor expansion of x in x 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.721 * [backup-simplify]: Simplify (- 1) into -1 0.722 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.722 * [backup-simplify]: Simplify (sqrt 0) into 0 0.723 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [backup-simplify]: Simplify 1.0 into 1.0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 0.724 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify (- 0) into 0 0.726 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.729 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.729 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.729 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (- 0) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.733 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 0.733 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.734 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.734 * * * [progress]: simplifying candidates 0.735 * [simplify]: Simplifying: (- (log x) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ x (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* x x) x) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ x (+ 1.0 (sqrt (+ x 1.0))))) (- x) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (sqrt x) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) 1) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 1) (/ x (+ 1.0 (sqrt (+ x 1.0)))) (/ 1 (+ 1.0 (sqrt (+ x 1.0)))) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ x (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ x 1) (/ x 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3))) (/ x (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (* (exp 1.0) (exp (sqrt (+ x 1.0)))) (log (+ 1.0 (sqrt (+ x 1.0)))) (exp (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (- 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0))) (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.736 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (+ 1.0 (sqrt (+ h0 1.0))))) (log (/ h0 (+ 1.0 (sqrt (+ h0 1.0))))) (exp (/ h0 (+ 1.0 (sqrt (+ h0 1.0))))) (/ (* (* h0 h0) h0) (* (* (+ 1.0 (sqrt (+ h0 1.0))) (+ 1.0 (sqrt (+ h0 1.0)))) (+ 1.0 (sqrt (+ h0 1.0))))) (* (cbrt (/ h0 (+ 1.0 (sqrt (+ h0 1.0))))) (cbrt (/ h0 (+ 1.0 (sqrt (+ h0 1.0)))))) (cbrt (/ h0 (+ 1.0 (sqrt (+ h0 1.0))))) (* (* (/ h0 (+ 1.0 (sqrt (+ h0 1.0)))) (/ h0 (+ 1.0 (sqrt (+ h0 1.0))))) (/ h0 (+ 1.0 (sqrt (+ h0 1.0))))) (sqrt (/ h0 (+ 1.0 (sqrt (+ h0 1.0))))) (sqrt (/ h0 (+ 1.0 (sqrt (+ h0 1.0))))) (- h0) (- (+ 1.0 (sqrt (+ h0 1.0)))) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ 1.0 (sqrt (+ h0 1.0)))) (cbrt (+ 1.0 (sqrt (+ h0 1.0)))))) (/ (cbrt h0) (cbrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ (cbrt h0) (sqrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ 1.0 (sqrt (+ h0 1.0)))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ 1.0 (sqrt (+ h0 1.0)))) (/ (sqrt h0) (* (cbrt (+ 1.0 (sqrt (+ h0 1.0)))) (cbrt (+ 1.0 (sqrt (+ h0 1.0)))))) (/ (sqrt h0) (cbrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ (sqrt h0) (sqrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ (sqrt h0) (sqrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ 1.0 (sqrt (+ h0 1.0)))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ 1.0 (sqrt (+ h0 1.0)))) (/ 1 (* (cbrt (+ 1.0 (sqrt (+ h0 1.0)))) (cbrt (+ 1.0 (sqrt (+ h0 1.0)))))) (/ h0 (cbrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ 1 (sqrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ h0 (sqrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ 1 1) (/ h0 (+ 1.0 (sqrt (+ h0 1.0)))) (/ 1 1) (/ h0 (+ 1.0 (sqrt (+ h0 1.0)))) (/ 1 (+ 1.0 (sqrt (+ h0 1.0)))) (/ (+ 1.0 (sqrt (+ h0 1.0))) h0) (/ h0 (* (cbrt (+ 1.0 (sqrt (+ h0 1.0)))) (cbrt (+ 1.0 (sqrt (+ h0 1.0)))))) (/ h0 (sqrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ h0 1) (/ h0 1) (/ (+ 1.0 (sqrt (+ h0 1.0))) (cbrt h0)) (/ (+ 1.0 (sqrt (+ h0 1.0))) (sqrt h0)) (/ (+ 1.0 (sqrt (+ h0 1.0))) h0) (/ h0 (+ (pow 1.0 3) (pow (sqrt (+ h0 1.0)) 3))) (/ h0 (- (* 1.0 1.0) (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0))))) (log (sqrt (+ h0 1.0))) (exp (sqrt (+ h0 1.0))) (* (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0)))) (cbrt (sqrt (+ h0 1.0))) (* (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0))) (sqrt (+ h0 1.0))) (sqrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (sqrt (cbrt (+ h0 1.0))) (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt (+ h0 1.0))) (sqrt 1) (sqrt (+ h0 1.0)) (sqrt 1) (sqrt (+ h0 1.0)) (sqrt (+ (pow h0 3) (pow 1.0 3))) (sqrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (sqrt (- (* h0 h0) (* 1.0 1.0))) (sqrt (- h0 1.0)) (/ 1 2) (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt (+ h0 1.0))) (* (exp 1.0) (exp (sqrt (+ h0 1.0)))) (log (+ 1.0 (sqrt (+ h0 1.0)))) (exp (+ 1.0 (sqrt (+ h0 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ h0 1.0)))) (cbrt (+ 1.0 (sqrt (+ h0 1.0))))) (cbrt (+ 1.0 (sqrt (+ h0 1.0)))) (* (* (+ 1.0 (sqrt (+ h0 1.0))) (+ 1.0 (sqrt (+ h0 1.0)))) (+ 1.0 (sqrt (+ h0 1.0)))) (sqrt (+ 1.0 (sqrt (+ h0 1.0)))) (sqrt (+ 1.0 (sqrt (+ h0 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ h0 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0))) (* 1.0 (sqrt (+ h0 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0)))) (- 1.0 (sqrt (+ h0 1.0))) (+ 1.0 (sqrt (+ h0 1.0))) (- (+ (/ h0 (+ (sqrt 1.0) 1.0)) (+ (* h3 (/ (pow h0 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* h2 (/ (pow h0 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* h1 (/ (pow h0 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ h4 (- (+ (* h4 h0) (- (* h4 (/ 1 h0))))))) (- (+ h4 (- (+ (* h4 h0) (- (* h4 (/ 1 h0))))))) (- (+ (sqrt 1.0) (* h1 (/ h0 (sqrt 1.0)))) (* h3 (/ (pow h0 2) (pow (sqrt 1.0) 3)))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (sqrt 1.0) (+ (* h1 (/ h0 (sqrt 1.0))) 1.0)) (* h3 (/ (pow h0 2) (pow (sqrt 1.0) 3)))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) 1.271 * * * [progress]: adding candidates to table 1.428 * * [progress]: iteration 2 / 4 1.428 * * * [progress]: picking best candidate 1.431 * * * * [pick]: Picked # 1.431 * * * [progress]: localizing error 1.440 * * * [progress]: generating rewritten candidates 1.440 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.552 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.580 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.608 * * * [progress]: generating series expansions 1.608 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.608 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 1.608 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 1.608 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.608 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.608 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [backup-simplify]: Simplify 1.0 into 1.0 1.609 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.609 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.610 * [backup-simplify]: Simplify (+ 1 0) into 1 1.612 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.612 * [taylor]: Taking taylor expansion of 1.0 in x 1.612 * [backup-simplify]: Simplify 1.0 into 1.0 1.612 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.614 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.614 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.614 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [backup-simplify]: Simplify 1.0 into 1.0 1.615 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.615 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.615 * [backup-simplify]: Simplify (+ 1 0) into 1 1.617 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.617 * [taylor]: Taking taylor expansion of 1.0 in x 1.617 * [backup-simplify]: Simplify 1.0 into 1.0 1.618 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.619 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.621 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 1.622 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 1.632 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.638 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.646 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.674 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 1.687 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 1.702 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 1.702 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) (/ 1 x))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 1.702 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.702 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.702 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.702 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.702 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.702 * [taylor]: Taking taylor expansion of 1.0 in x 1.702 * [backup-simplify]: Simplify 1.0 into 1.0 1.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.702 * [backup-simplify]: Simplify (/ 1 1) into 1 1.703 * [backup-simplify]: Simplify (+ 0 1) into 1 1.703 * [backup-simplify]: Simplify (sqrt 0) into 0 1.704 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [backup-simplify]: Simplify 1.0 into 1.0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (* 0 0) into 0 1.705 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.705 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.708 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.708 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.710 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.711 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 1.711 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 1.711 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.711 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.711 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.711 * [taylor]: Taking taylor expansion of 1.0 in x 1.711 * [backup-simplify]: Simplify 1.0 into 1.0 1.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [backup-simplify]: Simplify (+ 0 1) into 1 1.712 * [backup-simplify]: Simplify (sqrt 0) into 0 1.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.713 * [taylor]: Taking taylor expansion of 1.0 in x 1.713 * [backup-simplify]: Simplify 1.0 into 1.0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (* 0 0) into 0 1.718 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.718 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.719 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.721 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.721 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.723 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.724 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 1.724 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.727 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.730 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 1.732 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.732 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.735 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.736 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.739 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 1.742 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.742 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.743 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 1.743 * [backup-simplify]: Simplify (/ 1 (/ (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) (/ 1 (- x)))) into (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 1.743 * [approximate]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.743 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.743 * [taylor]: Taking taylor expansion of -1 in x 1.743 * [backup-simplify]: Simplify -1 into -1 1.743 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.743 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [backup-simplify]: Simplify 1.0 into 1.0 1.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.743 * [taylor]: Taking taylor expansion of x in x 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [backup-simplify]: Simplify (- 1) into -1 1.744 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.744 * [backup-simplify]: Simplify (sqrt 0) into 0 1.745 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [backup-simplify]: Simplify 1.0 into 1.0 1.745 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (* 0 0) into 0 1.746 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.746 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (- 0) into 0 1.747 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.749 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.750 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.752 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.752 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 1.752 * [taylor]: Taking taylor expansion of (/ -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.752 * [taylor]: Taking taylor expansion of -1 in x 1.752 * [backup-simplify]: Simplify -1 into -1 1.753 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.753 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.753 * [taylor]: Taking taylor expansion of 1.0 in x 1.753 * [backup-simplify]: Simplify 1.0 into 1.0 1.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (/ 1 1) into 1 1.753 * [backup-simplify]: Simplify (- 1) into -1 1.753 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.754 * [backup-simplify]: Simplify (sqrt 0) into 0 1.754 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.755 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [backup-simplify]: Simplify 1.0 into 1.0 1.755 * [backup-simplify]: Simplify (+ 0 0) into 0 1.755 * [backup-simplify]: Simplify (* 0 0) into 0 1.755 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.756 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (- 0) into 0 1.757 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.759 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.759 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.761 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.762 * [backup-simplify]: Simplify (/ -1 (- +nan.0)) into +nan.0 1.762 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (+ 0 0) into 0 1.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.765 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.768 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 1.770 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.771 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (- 0) into 0 1.772 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.775 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.777 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 1.781 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.781 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.782 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 1.782 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.782 * [backup-simplify]: Simplify (/ (+ 1.0 (sqrt (+ x 1.0))) x) into (/ (+ (sqrt (+ x 1.0)) 1.0) x) 1.782 * [approximate]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in (x) around 0 1.782 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in x 1.782 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.782 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [taylor]: Taking taylor expansion of 1.0 in x 1.782 * [backup-simplify]: Simplify 1.0 into 1.0 1.783 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.783 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.783 * [backup-simplify]: Simplify (+ 1 0) into 1 1.784 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.784 * [taylor]: Taking taylor expansion of 1.0 in x 1.784 * [backup-simplify]: Simplify 1.0 into 1.0 1.784 * [taylor]: Taking taylor expansion of x in x 1.784 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify 1 into 1 1.785 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.786 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) 1) into (+ (sqrt 1.0) 1.0) 1.786 * [taylor]: Taking taylor expansion of (/ (+ (sqrt (+ x 1.0)) 1.0) x) in x 1.786 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.786 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.786 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.786 * [taylor]: Taking taylor expansion of x in x 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 1 into 1 1.786 * [taylor]: Taking taylor expansion of 1.0 in x 1.786 * [backup-simplify]: Simplify 1.0 into 1.0 1.786 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.786 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.787 * [backup-simplify]: Simplify (+ 1 0) into 1 1.788 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.788 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [backup-simplify]: Simplify 1.0 into 1.0 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.790 * [backup-simplify]: Simplify (/ (+ (sqrt 1.0) 1.0) 1) into (+ (sqrt 1.0) 1.0) 1.791 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.792 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 1.797 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ 1 (sqrt 1.0))) 1) (+ (* (+ (sqrt 1.0) 1.0) (/ 0 1)))) into (* 1/2 (/ 1 (sqrt 1.0))) 1.799 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.804 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.806 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.815 * [backup-simplify]: Simplify (- (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1) (+ (* (+ (sqrt 1.0) 1.0) (/ 0 1)) (* (* 1/2 (/ 1 (sqrt 1.0))) (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.817 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.822 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) x) (+ (/ 1/2 (sqrt 1.0)) (* (+ (sqrt 1.0) 1.0) (/ 1 x)))) into (- (+ (/ (sqrt 1.0) x) (+ (* 1/2 (/ 1 (sqrt 1.0))) (* 1.0 (/ 1 x)))) (* 1/8 (/ x (pow (sqrt 1.0) 3)))) 1.822 * [backup-simplify]: Simplify (/ (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) (/ 1 x)) into (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) 1.822 * [approximate]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in (x) around 0 1.822 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.822 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.822 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of 1.0 in x 1.822 * [backup-simplify]: Simplify 1.0 into 1.0 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.823 * [backup-simplify]: Simplify (/ 1 1) into 1 1.823 * [backup-simplify]: Simplify (+ 0 1) into 1 1.824 * [backup-simplify]: Simplify (sqrt 0) into 0 1.825 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.825 * [taylor]: Taking taylor expansion of 1.0 in x 1.825 * [backup-simplify]: Simplify 1.0 into 1.0 1.825 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.825 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.825 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.825 * [taylor]: Taking taylor expansion of 1.0 in x 1.825 * [backup-simplify]: Simplify 1.0 into 1.0 1.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (/ 1 1) into 1 1.826 * [backup-simplify]: Simplify (+ 0 1) into 1 1.826 * [backup-simplify]: Simplify (sqrt 0) into 0 1.827 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.828 * [taylor]: Taking taylor expansion of 1.0 in x 1.828 * [backup-simplify]: Simplify 1.0 into 1.0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify (* 0 0) into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.830 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.833 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.834 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.837 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.837 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.842 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.846 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 1.846 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.851 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.852 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.855 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 1.855 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.856 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 3)) (+ (* (- +nan.0) (pow (/ 1 x) 2)) (* (- +nan.0) (/ 1 x)))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) 1.856 * [backup-simplify]: Simplify (/ (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) (/ 1 (- x))) into (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) 1.856 * [approximate]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in (x) around 0 1.856 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.856 * [taylor]: Taking taylor expansion of -1 in x 1.856 * [backup-simplify]: Simplify -1 into -1 1.856 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.857 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.857 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.857 * [taylor]: Taking taylor expansion of 1.0 in x 1.857 * [backup-simplify]: Simplify 1.0 into 1.0 1.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [backup-simplify]: Simplify (- 1) into -1 1.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.858 * [backup-simplify]: Simplify (sqrt 0) into 0 1.859 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.859 * [taylor]: Taking taylor expansion of 1.0 in x 1.859 * [backup-simplify]: Simplify 1.0 into 1.0 1.859 * [taylor]: Taking taylor expansion of (* -1 (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0))) in x 1.859 * [taylor]: Taking taylor expansion of -1 in x 1.859 * [backup-simplify]: Simplify -1 into -1 1.859 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.860 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.860 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.860 * [backup-simplify]: Simplify 1.0 into 1.0 1.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (/ 1 1) into 1 1.860 * [backup-simplify]: Simplify (- 1) into -1 1.861 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.861 * [backup-simplify]: Simplify (sqrt 0) into 0 1.862 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.862 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [backup-simplify]: Simplify 1.0 into 1.0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.863 * [backup-simplify]: Simplify (* 0 0) into 0 1.863 * [backup-simplify]: Simplify (* -1 0) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.864 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 1.865 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.869 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.870 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.873 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 1.875 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 1.875 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.880 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.884 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 1.886 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 1.887 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.893 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.897 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 1.900 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 1.900 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.902 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (* (- +nan.0) (/ 1 (- x))))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ 1 (pow x 3)))))))) 1.902 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.902 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ x 1.0))) into (+ (sqrt (+ x 1.0)) 1.0) 1.902 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 1.902 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.902 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.902 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.902 * [taylor]: Taking taylor expansion of x in x 1.902 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify 1 into 1 1.902 * [taylor]: Taking taylor expansion of 1.0 in x 1.902 * [backup-simplify]: Simplify 1.0 into 1.0 1.902 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.903 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.903 * [backup-simplify]: Simplify (+ 1 0) into 1 1.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.905 * [taylor]: Taking taylor expansion of 1.0 in x 1.905 * [backup-simplify]: Simplify 1.0 into 1.0 1.905 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 1.905 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.905 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [taylor]: Taking taylor expansion of 1.0 in x 1.905 * [backup-simplify]: Simplify 1.0 into 1.0 1.905 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.906 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.906 * [backup-simplify]: Simplify (+ 1 0) into 1 1.907 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.907 * [backup-simplify]: Simplify 1.0 into 1.0 1.908 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.909 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 1.910 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 1.912 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.912 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.920 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.923 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 1.928 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (+ (sqrt 1.0) 1.0))) into (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 1.928 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) into (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) 1.928 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 1.928 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.928 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.928 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of 1.0 in x 1.928 * [backup-simplify]: Simplify 1.0 into 1.0 1.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (+ 0 1) into 1 1.933 * [backup-simplify]: Simplify (sqrt 0) into 0 1.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.935 * [taylor]: Taking taylor expansion of 1.0 in x 1.935 * [backup-simplify]: Simplify 1.0 into 1.0 1.935 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.935 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.935 * [taylor]: Taking taylor expansion of 1.0 in x 1.935 * [backup-simplify]: Simplify 1.0 into 1.0 1.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [backup-simplify]: Simplify (+ 0 1) into 1 1.936 * [backup-simplify]: Simplify (sqrt 0) into 0 1.937 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.937 * [taylor]: Taking taylor expansion of 1.0 in x 1.937 * [backup-simplify]: Simplify 1.0 into 1.0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.938 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.942 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.942 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.943 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.948 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.948 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.949 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.950 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) into (+ (sqrt (- 1.0 (/ 1 x))) 1.0) 1.950 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 1.950 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.950 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.950 * [taylor]: Taking taylor expansion of 1.0 in x 1.950 * [backup-simplify]: Simplify 1.0 into 1.0 1.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.950 * [taylor]: Taking taylor expansion of x in x 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.951 * [backup-simplify]: Simplify (- 1) into -1 1.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.951 * [backup-simplify]: Simplify (sqrt 0) into 0 1.952 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.952 * [taylor]: Taking taylor expansion of 1.0 in x 1.953 * [backup-simplify]: Simplify 1.0 into 1.0 1.953 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 1.953 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.953 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.953 * [taylor]: Taking taylor expansion of 1.0 in x 1.953 * [backup-simplify]: Simplify 1.0 into 1.0 1.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (/ 1 1) into 1 1.953 * [backup-simplify]: Simplify (- 1) into -1 1.954 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.954 * [backup-simplify]: Simplify (sqrt 0) into 0 1.955 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.955 * [taylor]: Taking taylor expansion of 1.0 in x 1.955 * [backup-simplify]: Simplify 1.0 into 1.0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 1.956 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (- 0) into 0 1.958 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.961 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.961 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.961 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (- 0) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.966 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.967 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.968 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.968 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.968 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 1.968 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.968 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of 1.0 in x 1.968 * [backup-simplify]: Simplify 1.0 into 1.0 1.969 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.969 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.970 * [backup-simplify]: Simplify (+ 1 0) into 1 1.971 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.971 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.971 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [taylor]: Taking taylor expansion of 1.0 in x 1.971 * [backup-simplify]: Simplify 1.0 into 1.0 1.972 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.972 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.972 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.974 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.975 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.981 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.984 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 1.984 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 1.985 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 1.985 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.985 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.985 * [backup-simplify]: Simplify 1.0 into 1.0 1.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.985 * [taylor]: Taking taylor expansion of x in x 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (/ 1 1) into 1 1.985 * [backup-simplify]: Simplify (+ 0 1) into 1 1.986 * [backup-simplify]: Simplify (sqrt 0) into 0 1.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.987 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.987 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.987 * [taylor]: Taking taylor expansion of 1.0 in x 1.987 * [backup-simplify]: Simplify 1.0 into 1.0 1.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.988 * [backup-simplify]: Simplify (+ 0 1) into 1 1.988 * [backup-simplify]: Simplify (sqrt 0) into 0 1.989 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.993 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.993 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.998 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.998 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.998 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 1.998 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.998 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [backup-simplify]: Simplify 1.0 into 1.0 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 1.998 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 2.000 * [backup-simplify]: Simplify (- 1) into -1 2.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.000 * [backup-simplify]: Simplify (sqrt 0) into 0 2.002 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.002 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.002 * [taylor]: Taking taylor expansion of 1.0 in x 2.002 * [backup-simplify]: Simplify 1.0 into 1.0 2.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.002 * [taylor]: Taking taylor expansion of x in x 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (/ 1 1) into 1 2.003 * [backup-simplify]: Simplify (- 1) into -1 2.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.003 * [backup-simplify]: Simplify (sqrt 0) into 0 2.005 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.006 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.009 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.009 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (- 0) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.015 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.015 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.015 * * * [progress]: simplifying candidates 2.020 * [simplify]: Simplifying: (- 1) (- (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 0 (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- 0 (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- (log 1) (- (log (+ 1.0 (sqrt (+ x 1.0)))) (log x))) (- (log 1) (log (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (log (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (exp (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (* 1 1) 1) (/ (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ 1.0 (sqrt (+ x 1.0))) x) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (* (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (cbrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (* (* (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (sqrt (/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (- 1) (- (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ (cbrt 1) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (cbrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ (cbrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ (cbrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (* (cbrt 1) (cbrt 1)) (+ 1.0 (sqrt (+ x 1.0)))) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ (sqrt 1) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ (sqrt 1) (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ (sqrt 1) (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (/ (sqrt 1) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)) (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x)))) (/ 1 (cbrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (sqrt (/ (+ 1.0 (sqrt (+ x 1.0))) x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (sqrt x))) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) 1)) (/ 1 (/ (cbrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) (sqrt x))) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) 1)) (/ 1 (/ (sqrt (+ 1.0 (sqrt (+ x 1.0)))) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ 1.0 (sqrt (+ x 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(/ (+ 1.0 (sqrt (+ h0 1.0))) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ 1.0 (sqrt (+ h0 1.0))) (sqrt h0)) (/ 1 1) (/ (+ 1.0 (sqrt (+ h0 1.0))) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ 1.0 (sqrt (+ h0 1.0))) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ 1.0 (sqrt (+ h0 1.0))) (sqrt h0)) (/ 1 1) (/ (+ 1.0 (sqrt (+ h0 1.0))) h0) (/ 1 h0) (/ h0 (+ 1.0 (sqrt (+ h0 1.0)))) (/ (+ 1.0 (sqrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0))) (/ (+ 1.0 (sqrt (+ h0 1.0))) (sqrt h0)) (/ (+ 1.0 (sqrt (+ h0 1.0))) 1) (/ h0 (cbrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ h0 (sqrt (+ 1.0 (sqrt (+ h0 1.0))))) (/ h0 (+ 1.0 (sqrt (+ h0 1.0)))) (/ h0 (+ 1.0 (sqrt (+ h0 1.0)))) (* h0 (+ (* 1.0 1.0) (- (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0))) (* 1.0 (sqrt (+ h0 1.0)))))) (* h0 (- 1.0 (sqrt (+ h0 1.0)))) (* (exp 1.0) (exp (sqrt (+ h0 1.0)))) (log (+ 1.0 (sqrt (+ h0 1.0)))) (exp (+ 1.0 (sqrt (+ h0 1.0)))) (* (cbrt (+ 1.0 (sqrt (+ h0 1.0)))) (cbrt (+ 1.0 (sqrt (+ h0 1.0))))) (cbrt (+ 1.0 (sqrt (+ h0 1.0)))) (* (* (+ 1.0 (sqrt (+ h0 1.0))) (+ 1.0 (sqrt (+ h0 1.0)))) (+ 1.0 (sqrt (+ h0 1.0)))) (sqrt (+ 1.0 (sqrt (+ h0 1.0)))) (sqrt (+ 1.0 (sqrt (+ h0 1.0)))) (+ (pow 1.0 3) (pow (sqrt (+ h0 1.0)) 3)) (+ (* 1.0 1.0) (- (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0))) (* 1.0 (sqrt (+ h0 1.0))))) (- (* 1.0 1.0) (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0)))) (- 1.0 (sqrt (+ h0 1.0))) (+ 1.0 (sqrt (+ h0 1.0))) (log (sqrt (+ h0 1.0))) (exp (sqrt (+ h0 1.0))) (* (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0)))) (cbrt (sqrt (+ h0 1.0))) (* (* (sqrt (+ h0 1.0)) (sqrt (+ h0 1.0))) (sqrt (+ h0 1.0))) (sqrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (sqrt (cbrt (+ h0 1.0))) (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt (+ h0 1.0))) (sqrt 1) (sqrt (+ h0 1.0)) (sqrt 1) (sqrt (+ h0 1.0)) (sqrt (+ (pow h0 3) (pow 1.0 3))) (sqrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (sqrt (- (* h0 h0) (* 1.0 1.0))) (sqrt (- h0 1.0)) (/ 1 2) (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt (+ h0 1.0))) (- (+ (/ h0 (+ (sqrt 1.0) 1.0)) (+ (* h3 (/ (pow h0 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* h2 (/ (pow h0 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* h1 (/ (pow h0 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (- (+ h4 (- (+ (* h4 h0) (- (* h4 (/ 1 h0))))))) (- (+ h4 (- (+ (* h4 h0) (- (* h4 (/ 1 h0))))))) (- (+ (/ (sqrt 1.0) h0) (+ (* h1 (/ 1 (sqrt 1.0))) (* 1.0 (/ 1 h0)))) (* h3 (/ h0 (pow (sqrt 1.0) 3)))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- (* h4 (/ 1 (pow h0 3)))))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- (* h4 (/ 1 (pow h0 3)))))))) (- (+ (sqrt 1.0) (+ (* h1 (/ h0 (sqrt 1.0))) 1.0)) (* h3 (/ (pow h0 2) (pow (sqrt 1.0) 3)))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (sqrt 1.0) (* h1 (/ h0 (sqrt 1.0)))) (* h3 (/ (pow h0 2) (pow (sqrt 1.0) 3)))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) 3.004 * * * [progress]: adding candidates to table 3.267 * * [progress]: iteration 3 / 4 3.267 * * * [progress]: picking best candidate 3.268 * * * * [pick]: Picked # 3.268 * * * [progress]: localizing error 3.277 * * * [progress]: generating rewritten candidates 3.277 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.396 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 3.412 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 3.424 * * * [progress]: generating series expansions 3.424 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.424 * [backup-simplify]: Simplify (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) into (/ x (+ (sqrt (+ x 1.0)) 1.0)) 3.424 * [approximate]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in (x) around 0 3.424 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.424 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.424 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.424 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify 1 into 1 3.424 * [taylor]: Taking taylor expansion of 1.0 in x 3.425 * [backup-simplify]: Simplify 1.0 into 1.0 3.425 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.425 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.426 * [backup-simplify]: Simplify (+ 1 0) into 1 3.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.427 * [taylor]: Taking taylor expansion of 1.0 in x 3.427 * [backup-simplify]: Simplify 1.0 into 1.0 3.427 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.428 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 3.428 * [taylor]: Taking taylor expansion of (/ x (+ (sqrt (+ x 1.0)) 1.0)) in x 3.428 * [taylor]: Taking taylor expansion of x in x 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 1 into 1 3.428 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.428 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.428 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.428 * [taylor]: Taking taylor expansion of x in x 3.428 * [backup-simplify]: Simplify 0 into 0 3.428 * [backup-simplify]: Simplify 1 into 1 3.428 * [taylor]: Taking taylor expansion of 1.0 in x 3.428 * [backup-simplify]: Simplify 1.0 into 1.0 3.429 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.429 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.429 * [backup-simplify]: Simplify (+ 1 0) into 1 3.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.430 * [taylor]: Taking taylor expansion of 1.0 in x 3.430 * [backup-simplify]: Simplify 1.0 into 1.0 3.431 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.432 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 3.433 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 3.434 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 3.440 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 3.444 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 3.444 * [backup-simplify]: Simplify (+ 0 0) into 0 3.447 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.449 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.473 * [backup-simplify]: Simplify (- (/ 0 (+ (sqrt 1.0) 1.0)) (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 3.482 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 3.496 * [backup-simplify]: Simplify (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (pow x 3)) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (pow x 2)) (* (/ 1 (+ (sqrt 1.0) 1.0)) x))) into (- (+ (/ x (+ (sqrt 1.0) 1.0)) (+ (* 1/8 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))))) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 3.497 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (/ (sqrt (/ 1 x)) (+ 1.0 (sqrt (+ (/ 1 x) 1.0))))) into (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 3.497 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 3.497 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.497 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.497 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.497 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.497 * [taylor]: Taking taylor expansion of 1.0 in x 3.497 * [backup-simplify]: Simplify 1.0 into 1.0 3.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (/ 1 1) into 1 3.497 * [backup-simplify]: Simplify (+ 0 1) into 1 3.498 * [backup-simplify]: Simplify (sqrt 0) into 0 3.499 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.499 * [taylor]: Taking taylor expansion of 1.0 in x 3.499 * [backup-simplify]: Simplify 1.0 into 1.0 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (* 0 0) into 0 3.499 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.500 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.502 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.503 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.505 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 3.505 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 3.505 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.505 * [taylor]: Taking taylor expansion of (* x (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.505 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.506 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.506 * [taylor]: Taking taylor expansion of 1.0 in x 3.506 * [backup-simplify]: Simplify 1.0 into 1.0 3.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [backup-simplify]: Simplify (+ 0 1) into 1 3.506 * [backup-simplify]: Simplify (sqrt 0) into 0 3.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.507 * [taylor]: Taking taylor expansion of 1.0 in x 3.507 * [backup-simplify]: Simplify 1.0 into 1.0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (* 0 0) into 0 3.508 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.508 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* 1 0)) into 0 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.509 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.511 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.511 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.513 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (* 0 0))) into (- +nan.0) 3.514 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 3.514 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.517 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.520 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- +nan.0) 3.522 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.522 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (+ 0 0) into 0 3.526 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.526 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.529 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* 1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (* 0 0))))) into (- +nan.0) 3.532 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.532 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.533 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ +nan.0 (- (+ (* +nan.0 x) (- (* +nan.0 (/ 1 x))))))) 3.533 * [backup-simplify]: Simplify (* (sqrt (/ 1 (- x))) (/ (sqrt (/ 1 (- x))) (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))))) into (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 3.533 * [approximate]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 3.533 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.533 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 3.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.533 * [taylor]: Taking taylor expansion of -1 in x 3.533 * [backup-simplify]: Simplify -1 into -1 3.533 * [taylor]: Taking taylor expansion of x in x 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [backup-simplify]: Simplify (/ -1 1) into -1 3.534 * [backup-simplify]: Simplify (sqrt 0) into 0 3.534 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.534 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.534 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.534 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.534 * [taylor]: Taking taylor expansion of 1.0 in x 3.534 * [backup-simplify]: Simplify 1.0 into 1.0 3.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.535 * [taylor]: Taking taylor expansion of x in x 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [backup-simplify]: Simplify (- 1) into -1 3.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.536 * [backup-simplify]: Simplify (sqrt 0) into 0 3.536 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.536 * [taylor]: Taking taylor expansion of 1.0 in x 3.536 * [backup-simplify]: Simplify 1.0 into 1.0 3.537 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 3.537 * [backup-simplify]: Simplify (+ 0 0) into 0 3.537 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.538 * [backup-simplify]: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 3.538 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.538 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 3.538 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.538 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.538 * [taylor]: Taking taylor expansion of -1 in x 3.538 * [backup-simplify]: Simplify -1 into -1 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.538 * [backup-simplify]: Simplify (/ -1 1) into -1 3.538 * [backup-simplify]: Simplify (sqrt 0) into 0 3.539 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.539 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.539 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.539 * [taylor]: Taking taylor expansion of 1.0 in x 3.539 * [backup-simplify]: Simplify 1.0 into 1.0 3.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.539 * [taylor]: Taking taylor expansion of x in x 3.539 * [backup-simplify]: Simplify 0 into 0 3.539 * [backup-simplify]: Simplify 1 into 1 3.539 * [backup-simplify]: Simplify (/ 1 1) into 1 3.540 * [backup-simplify]: Simplify (- 1) into -1 3.540 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.540 * [backup-simplify]: Simplify (sqrt 0) into 0 3.541 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.541 * [taylor]: Taking taylor expansion of 1.0 in x 3.541 * [backup-simplify]: Simplify 1.0 into 1.0 3.541 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 3.542 * [backup-simplify]: Simplify (+ 0 0) into 0 3.542 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.542 * [backup-simplify]: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 3.542 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.551 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (- 0) into 0 3.552 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.554 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.554 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.556 * [backup-simplify]: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.557 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.561 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 3.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.561 * [backup-simplify]: Simplify (- 0) into 0 3.562 * [backup-simplify]: Simplify (+ 0 0) into 0 3.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.564 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.568 * [backup-simplify]: Simplify (- (/ (- +nan.0) (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.568 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.569 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.569 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 3.569 * [backup-simplify]: Simplify (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) into (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) 3.569 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in (x) around 0 3.569 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 3.569 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 3.569 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.569 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.569 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.569 * [taylor]: Taking taylor expansion of x in x 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [taylor]: Taking taylor expansion of 1.0 in x 3.569 * [backup-simplify]: Simplify 1.0 into 1.0 3.570 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.570 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.570 * [backup-simplify]: Simplify (+ 1 0) into 1 3.571 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.571 * [taylor]: Taking taylor expansion of 1.0 in x 3.571 * [backup-simplify]: Simplify 1.0 into 1.0 3.572 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.573 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 3.573 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.573 * [taylor]: Taking taylor expansion of x in x 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (sqrt 0) into 0 3.574 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.574 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) (sqrt x)) in x 3.574 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) 1.0)) in x 3.574 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.574 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.574 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.574 * [taylor]: Taking taylor expansion of x in x 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.574 * [taylor]: Taking taylor expansion of 1.0 in x 3.574 * [backup-simplify]: Simplify 1.0 into 1.0 3.575 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.575 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.575 * [backup-simplify]: Simplify (+ 1 0) into 1 3.576 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.576 * [taylor]: Taking taylor expansion of 1.0 in x 3.576 * [backup-simplify]: Simplify 1.0 into 1.0 3.577 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.577 * [backup-simplify]: Simplify (/ 1 (+ (sqrt 1.0) 1.0)) into (/ 1 (+ (sqrt 1.0) 1.0)) 3.578 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.578 * [taylor]: Taking taylor expansion of x in x 3.578 * [backup-simplify]: Simplify 0 into 0 3.578 * [backup-simplify]: Simplify 1 into 1 3.578 * [backup-simplify]: Simplify (sqrt 0) into 0 3.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.579 * [backup-simplify]: Simplify (* (/ 1 (+ (sqrt 1.0) 1.0)) 0) into 0 3.579 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 3.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 3.589 * [backup-simplify]: Simplify (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) +nan.0) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) 0)) into (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))) 3.592 * [backup-simplify]: Simplify (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))) into (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))) 3.595 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.600 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 3.632 * [backup-simplify]: Simplify (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) +nan.0) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) +nan.0) (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))))) 3.645 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))))) 3.647 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.648 * [backup-simplify]: Simplify (+ 0 0) into 0 3.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 (sqrt 1.0)) (/ -1/8 (pow (sqrt 1.0) 3)))))) (* 2 (sqrt 1.0))) into (/ 1/16 (pow (sqrt 1.0) 5)) 3.656 * [backup-simplify]: Simplify (+ (/ 1/16 (pow (sqrt 1.0) 5)) 0) into (* 1/16 (/ 1 (pow (sqrt 1.0) 5))) 3.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) (/ (* 1/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (sqrt 1.0) 1.0))) (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) (/ (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (+ (sqrt 1.0) 1.0))) (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) (/ (* 1/2 (/ 1 (sqrt 1.0))) (+ (sqrt 1.0) 1.0))))) into (- (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 4)))) (+ (* 1/16 (/ 1 (* (pow (sqrt 1.0) 5) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/8 (/ 1 (* (pow (sqrt 1.0) 4) (pow (+ (sqrt 1.0) 1.0) 3))))))) 3.752 * [backup-simplify]: Simplify (+ (* (/ 1 (+ (sqrt 1.0) 1.0)) +nan.0) (+ (* (- (* 1/2 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))) +nan.0) (+ (* (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/4 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))) +nan.0) (* (- (+ (* 1/8 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 4)))) (+ (* 1/16 (/ 1 (* (pow (sqrt 1.0) 5) (pow (+ (sqrt 1.0) 1.0) 2)))) (* 1/8 (/ 1 (* (pow (sqrt 1.0) 4) (pow (+ (sqrt 1.0) 1.0) 3))))))) 0)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))))))))) 3.784 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))))))))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))))))))) 3.832 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3))))))))))) (pow x 3)) (+ (* (- (+ (* +nan.0 (/ 1 (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))))) (pow x 2)) (* (- (* +nan.0 (/ 1 (+ (sqrt 1.0) 1.0)))) x))) into (- (+ (* +nan.0 (/ (pow x 2) (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 3) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 2) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2)))) (- (+ (* +nan.0 (/ (pow x 3) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 3)))) (- (+ (* +nan.0 (/ x (+ (sqrt 1.0) 1.0))) (- (+ (* +nan.0 (/ (pow x 3) (+ (sqrt 1.0) 1.0))) (- (* +nan.0 (/ (pow x 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))))))))))))))) 3.832 * [backup-simplify]: Simplify (/ (sqrt (/ 1 x)) (+ 1.0 (sqrt (+ (/ 1 x) 1.0)))) into (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) 3.832 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in (x) around 0 3.832 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.833 * [taylor]: Taking taylor expansion of x in x 3.833 * [backup-simplify]: Simplify 0 into 0 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (/ 1 1) into 1 3.833 * [backup-simplify]: Simplify (sqrt 0) into 0 3.835 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.835 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.835 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.835 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.835 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.835 * [taylor]: Taking taylor expansion of 1.0 in x 3.835 * [backup-simplify]: Simplify 1.0 into 1.0 3.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.835 * [taylor]: Taking taylor expansion of x in x 3.835 * [backup-simplify]: Simplify 0 into 0 3.835 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (/ 1 1) into 1 3.836 * [backup-simplify]: Simplify (+ 0 1) into 1 3.836 * [backup-simplify]: Simplify (sqrt 0) into 0 3.837 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.837 * [taylor]: Taking taylor expansion of 1.0 in x 3.837 * [backup-simplify]: Simplify 1.0 into 1.0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.846 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 3.846 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0))) in x 3.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.846 * [taylor]: Taking taylor expansion of x in x 3.846 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify 1 into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.847 * [backup-simplify]: Simplify (sqrt 0) into 0 3.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.848 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ 1.0 (/ 1 x))) 1.0)) in x 3.848 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.848 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.848 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.848 * [taylor]: Taking taylor expansion of 1.0 in x 3.848 * [backup-simplify]: Simplify 1.0 into 1.0 3.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.848 * [taylor]: Taking taylor expansion of x in x 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.849 * [backup-simplify]: Simplify (+ 0 1) into 1 3.849 * [backup-simplify]: Simplify (sqrt 0) into 0 3.851 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.851 * [taylor]: Taking taylor expansion of 1.0 in x 3.851 * [backup-simplify]: Simplify 1.0 into 1.0 3.851 * [backup-simplify]: Simplify (+ 0 0) into 0 3.851 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.852 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 3.853 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.854 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.857 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.857 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.860 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.861 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 3.861 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (+ 0 0) into 0 3.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.867 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.871 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.878 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 3.878 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.884 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.890 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.899 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 3.899 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.900 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.901 * [backup-simplify]: Simplify (/ (sqrt (/ 1 (- x))) (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0)))) into (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) 3.901 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in (x) around 0 3.901 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.901 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.901 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.901 * [taylor]: Taking taylor expansion of -1 in x 3.901 * [backup-simplify]: Simplify -1 into -1 3.901 * [taylor]: Taking taylor expansion of x in x 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (/ -1 1) into -1 3.902 * [backup-simplify]: Simplify (sqrt 0) into 0 3.903 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.903 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.903 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.903 * [taylor]: Taking taylor expansion of 1.0 in x 3.903 * [backup-simplify]: Simplify 1.0 into 1.0 3.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.903 * [taylor]: Taking taylor expansion of x in x 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [backup-simplify]: Simplify (- 1) into -1 3.904 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.904 * [backup-simplify]: Simplify (sqrt 0) into 0 3.906 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.906 * [taylor]: Taking taylor expansion of 1.0 in x 3.906 * [backup-simplify]: Simplify 1.0 into 1.0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.907 * [backup-simplify]: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 3.907 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (sqrt (- 1.0 (/ 1 x))) 1.0)) in x 3.907 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.907 * [taylor]: Taking taylor expansion of -1 in x 3.907 * [backup-simplify]: Simplify -1 into -1 3.907 * [taylor]: Taking taylor expansion of x in x 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify (/ -1 1) into -1 3.908 * [backup-simplify]: Simplify (sqrt 0) into 0 3.909 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.909 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.909 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.909 * [taylor]: Taking taylor expansion of 1.0 in x 3.909 * [backup-simplify]: Simplify 1.0 into 1.0 3.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.909 * [taylor]: Taking taylor expansion of x in x 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (/ 1 1) into 1 3.910 * [backup-simplify]: Simplify (- 1) into -1 3.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.911 * [backup-simplify]: Simplify (sqrt 0) into 0 3.912 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.912 * [taylor]: Taking taylor expansion of 1.0 in x 3.912 * [backup-simplify]: Simplify 1.0 into 1.0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.913 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.913 * [backup-simplify]: Simplify (/ +nan.0 (- +nan.0)) into +nan.0 3.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (- 0) into 0 3.919 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.921 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.922 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.925 * [backup-simplify]: Simplify (- (/ +nan.0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.926 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (- 0) into 0 3.932 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.936 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.941 * [backup-simplify]: Simplify (- (/ +nan.0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.942 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.943 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 3.943 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ x 1.0))) into (+ (sqrt (+ x 1.0)) 1.0) 3.943 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in (x) around 0 3.943 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.943 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.943 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.943 * [taylor]: Taking taylor expansion of x in x 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.943 * [taylor]: Taking taylor expansion of 1.0 in x 3.943 * [backup-simplify]: Simplify 1.0 into 1.0 3.944 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.944 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.945 * [backup-simplify]: Simplify (+ 1 0) into 1 3.946 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.946 * [taylor]: Taking taylor expansion of 1.0 in x 3.946 * [backup-simplify]: Simplify 1.0 into 1.0 3.946 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) 1.0) in x 3.946 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.946 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.946 * [taylor]: Taking taylor expansion of x in x 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [taylor]: Taking taylor expansion of 1.0 in x 3.947 * [backup-simplify]: Simplify 1.0 into 1.0 3.947 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.947 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.948 * [backup-simplify]: Simplify (+ 1 0) into 1 3.949 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.949 * [taylor]: Taking taylor expansion of 1.0 in x 3.949 * [backup-simplify]: Simplify 1.0 into 1.0 3.950 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.951 * [backup-simplify]: Simplify (+ (sqrt 1.0) 1.0) into (+ (sqrt 1.0) 1.0) 3.952 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) 0) into (* 1/2 (/ 1 (sqrt 1.0))) 3.954 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.954 * [backup-simplify]: Simplify (+ 0 0) into 0 3.960 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.963 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.967 * [backup-simplify]: Simplify (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) 3.973 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (+ (sqrt 1.0) 1.0))) into (- (+ (sqrt 1.0) (+ (* 1/2 (/ x (sqrt 1.0))) 1.0)) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 3.974 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 x) 1.0))) into (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) 3.974 * [approximate]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in (x) around 0 3.974 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.974 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.974 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.974 * [taylor]: Taking taylor expansion of 1.0 in x 3.974 * [backup-simplify]: Simplify 1.0 into 1.0 3.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.974 * [taylor]: Taking taylor expansion of x in x 3.974 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify 1 into 1 3.974 * [backup-simplify]: Simplify (/ 1 1) into 1 3.975 * [backup-simplify]: Simplify (+ 0 1) into 1 3.982 * [backup-simplify]: Simplify (sqrt 0) into 0 3.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [backup-simplify]: Simplify 1.0 into 1.0 3.984 * [taylor]: Taking taylor expansion of (+ (sqrt (+ 1.0 (/ 1 x))) 1.0) in x 3.984 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.984 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.984 * [taylor]: Taking taylor expansion of 1.0 in x 3.984 * [backup-simplify]: Simplify 1.0 into 1.0 3.984 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.984 * [taylor]: Taking taylor expansion of x in x 3.984 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify 1 into 1 3.984 * [backup-simplify]: Simplify (/ 1 1) into 1 3.985 * [backup-simplify]: Simplify (+ 0 1) into 1 3.985 * [backup-simplify]: Simplify (sqrt 0) into 0 3.986 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.986 * [taylor]: Taking taylor expansion of 1.0 in x 3.986 * [backup-simplify]: Simplify 1.0 into 1.0 3.986 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 3.987 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.987 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.989 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.989 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.990 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (+ 0 0) into 0 3.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.995 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 3.995 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.996 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.997 * [backup-simplify]: Simplify (+ 1.0 (sqrt (+ (/ 1 (- x)) 1.0))) into (+ (sqrt (- 1.0 (/ 1 x))) 1.0) 3.997 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in (x) around 0 3.997 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 3.997 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.997 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.997 * [taylor]: Taking taylor expansion of 1.0 in x 3.997 * [backup-simplify]: Simplify 1.0 into 1.0 3.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.997 * [taylor]: Taking taylor expansion of x in x 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.997 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [backup-simplify]: Simplify (- 1) into -1 3.998 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.998 * [backup-simplify]: Simplify (sqrt 0) into 0 3.999 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.000 * [taylor]: Taking taylor expansion of 1.0 in x 4.000 * [backup-simplify]: Simplify 1.0 into 1.0 4.000 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) 1.0) in x 4.000 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.000 * [taylor]: Taking taylor expansion of 1.0 in x 4.000 * [backup-simplify]: Simplify 1.0 into 1.0 4.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.000 * [taylor]: Taking taylor expansion of x in x 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [backup-simplify]: Simplify (/ 1 1) into 1 4.000 * [backup-simplify]: Simplify (- 1) into -1 4.001 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.001 * [backup-simplify]: Simplify (sqrt 0) into 0 4.002 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.002 * [taylor]: Taking taylor expansion of 1.0 in x 4.002 * [backup-simplify]: Simplify 1.0 into 1.0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.003 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify (+ +nan.0 1.0) into (- +nan.0) 4.004 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.005 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.007 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.007 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.007 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.008 * [backup-simplify]: Simplify (- 0) into 0 4.008 * [backup-simplify]: Simplify (+ 0 0) into 0 4.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.011 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.011 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.012 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.012 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 4.012 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 4.012 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 4.012 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.012 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.012 * [taylor]: Taking taylor expansion of x in x 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 1 into 1 4.012 * [taylor]: Taking taylor expansion of 1.0 in x 4.012 * [backup-simplify]: Simplify 1.0 into 1.0 4.012 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.013 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.013 * [backup-simplify]: Simplify (+ 1 0) into 1 4.014 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.014 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.014 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.014 * [taylor]: Taking taylor expansion of 1.0 in x 4.014 * [backup-simplify]: Simplify 1.0 into 1.0 4.014 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.015 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.015 * [backup-simplify]: Simplify (+ 1 0) into 1 4.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 4.016 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.017 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.020 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.022 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.024 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 4.024 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 4.024 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 4.024 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.024 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.024 * [taylor]: Taking taylor expansion of 1.0 in x 4.024 * [backup-simplify]: Simplify 1.0 into 1.0 4.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.024 * [taylor]: Taking taylor expansion of x in x 4.024 * [backup-simplify]: Simplify 0 into 0 4.024 * [backup-simplify]: Simplify 1 into 1 4.025 * [backup-simplify]: Simplify (/ 1 1) into 1 4.025 * [backup-simplify]: Simplify (+ 0 1) into 1 4.026 * [backup-simplify]: Simplify (sqrt 0) into 0 4.027 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.027 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.027 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.027 * [taylor]: Taking taylor expansion of 1.0 in x 4.027 * [backup-simplify]: Simplify 1.0 into 1.0 4.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.027 * [taylor]: Taking taylor expansion of x in x 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 1 into 1 4.028 * [backup-simplify]: Simplify (/ 1 1) into 1 4.028 * [backup-simplify]: Simplify (+ 0 1) into 1 4.028 * [backup-simplify]: Simplify (sqrt 0) into 0 4.030 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.034 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.039 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.039 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.039 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 4.039 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 4.039 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.039 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.039 * [taylor]: Taking taylor expansion of 1.0 in x 4.039 * [backup-simplify]: Simplify 1.0 into 1.0 4.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.039 * [taylor]: Taking taylor expansion of x in x 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify 1 into 1 4.040 * [backup-simplify]: Simplify (/ 1 1) into 1 4.040 * [backup-simplify]: Simplify (- 1) into -1 4.041 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.041 * [backup-simplify]: Simplify (sqrt 0) into 0 4.042 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.042 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.042 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.042 * [taylor]: Taking taylor expansion of 1.0 in x 4.042 * [backup-simplify]: Simplify 1.0 into 1.0 4.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.042 * [taylor]: Taking taylor expansion of x in x 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify 1 into 1 4.043 * [backup-simplify]: Simplify (/ 1 1) into 1 4.043 * [backup-simplify]: Simplify (- 1) into -1 4.043 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.044 * [backup-simplify]: Simplify (sqrt 0) into 0 4.045 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (- 0) into 0 4.047 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.050 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.050 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (- 0) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.054 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.054 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.054 * * * [progress]: simplifying candidates 4.056 * [simplify]: Simplifying: (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0)))))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (log (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (exp (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (* (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (sqrt (* (sqrt x) (/ (sqrt x) (+ 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x 1.0))))) (* (sqrt x) (sqrt x)) (- (log (sqrt x)) (log (+ 1.0 (sqrt (+ x 1.0))))) (log (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (exp (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ 1.0 (sqrt (+ x 1.0))) (+ 1.0 (sqrt (+ x 1.0)))) (+ 1.0 (sqrt (+ x 1.0))))) (* (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))) (cbrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (* (* (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (sqrt (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))) (- (sqrt x)) (- (+ 1.0 (sqrt (+ x 1.0)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0)))))) (/ (cbrt (sqrt x)) (cbrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (cbrt (sqrt x)) (sqrt (+ 1.0 (sqrt (+ x 1.0))))) (/ (* (cbrt (sqrt x)) (cbrt 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h4 (/ (pow h0 3) (* (sqrt 1.0) (pow (+ (sqrt 1.0) 1.0) 2))))))))))))))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (sqrt 1.0) (+ (* h1 (/ h0 (sqrt 1.0))) 1.0)) (* h3 (/ (pow h0 2) (pow (sqrt 1.0) 3)))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (sqrt 1.0) (* h1 (/ h0 (sqrt 1.0)))) (* h3 (/ (pow h0 2) (pow (sqrt 1.0) 3)))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) (- (+ (* h4 (/ 1 (pow h0 2))) (- (+ (* h4 (/ 1 h0)) (- h4))))) 5.115 * * * [progress]: adding candidates to table 5.493 * [progress]: [Phase 3 of 3] Extracting. 5.493 * * [regime]: Finding splitpoints for: (# # #) 5.494 * * * [regime-changes]: Trying 2 branch expressions: ((/ x (+ 1.0 (sqrt (+ x 1.0)))) x) 5.494 * * * * [regimes]: Trying to branch on (/ x (+ 1.0 (sqrt (+ x 1.0)))) from (# # #) 5.513 * * * * [regimes]: Trying to branch on x from (# # #) 5.529 * * * [regime]: Found split indices: #