* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (+ (/ 1 (- x 1)) (/ x (+ x 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (15 enodes)
* [exit]simplify:  Simplified to (+ (/ 1 (- x 1)) (/ x (+ x 1)))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (x) (+ (/ 1 (- x 1)) (/ x (+ x 1))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 1 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 1 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ 1 (- x 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x 1)) in x
* [misc]taylor:  Taking taylor expansion of (- x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x 1)) in x
* [misc]taylor:  Taking taylor expansion of (- x 1) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 1 -1)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (pow x 2) 1)))
* [misc]approximate:  Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 1 x) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ -1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* 1 (pow (/ 1 x) 2)) (* 1 (/ 1 x)))) into (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
* [misc]approximate:  Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in (x) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x
* [misc]taylor:  Taking taylor expansion of (- (/ 1 (- x)) 1) in x
* [misc]taylor:  Taking taylor expansion of (/ 1 (- x)) in x
* [misc]taylor:  Taking taylor expansion of (- x) in x
* [misc]taylor:  Taking taylor expansion of x in x
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 1 in x
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ -1 0) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ -1 -1)))) into 1
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ -1 -1)))) into -1
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]backup-simplify:  Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* 1 (pow (/ 1 (- x)) 2)) (* -1 (/ 1 (- x))))) into (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 21 ] simplifiying candidate #<alt (λ (x) (+ (pow (- x 1) -1) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 2 / 21 ] simplifiying candidate #<alt (λ (x) (+ (pow (- x 1) (- 1)) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (- 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to -1
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (+ (pow (- x 1) -1) (/ x (+ x 1))))
* * * * [misc]progress:  [ 3 / 21 ] simplifiying candidate #<alt (λ (x) (+ (pow (/ 1 (- x 1)) 1) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 4 / 21 ] simplifiying candidate #<alt (λ (x) (+ (exp (- (log (- x 1)))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 5 / 21 ] simplifiying candidate #<alt (λ (x) (+ (exp (log (/ 1 (- x 1)))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 6 / 21 ] simplifiying candidate #<alt (λ (x) (+ (log (exp (/ 1 (- x 1)))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 7 / 21 ] simplifiying candidate #<alt (λ (x) (+ (* (* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1)))) (cbrt (/ 1 (- x 1)))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 8 / 21 ] simplifiying candidate #<alt (λ (x) (+ (cbrt (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1)))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 9 / 21 ] simplifiying candidate #<alt (λ (x) (+ (* (sqrt (/ 1 (- x 1))) (sqrt (/ 1 (- x 1)))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 10 / 21 ] simplifiying candidate #<alt (λ (x) (+ (/ (- 1) (- (- x 1))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 11 / 21 ] simplifiying candidate #<alt (λ (x) (+ (* 1 (/ 1 (- x 1))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 12 / 21 ] simplifiying candidate #<alt (λ (x) (+ (* 1 (/ 1 (- x 1))) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 13 / 21 ] simplifiying candidate #<alt (λ (x) (+ (/ 1 (/ (- x 1) 1)) (/ x (+ x 1))))>
* * * * [misc]progress:  [ 14 / 21 ] simplifiying candidate #<alt (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1))) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (cbrt (- x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (cbrt (+ x -1))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (+ x -1))) (/ x (+ x 1))))
* * * * [misc]progress:  [ 15 / 21 ] simplifiying candidate #<alt (λ (x) (+ (/ (/ 1 (sqrt (- x 1))) (sqrt (- x 1))) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (sqrt (- x 1))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* * [misc]simplify:  iters left: 1 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (+ x -1))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 (sqrt (- x 1))) (sqrt (+ x -1))) (/ x (+ x 1))))
* * * * [misc]progress:  [ 16 / 21 ] simplifiying candidate #<alt (λ (x) (+ (/ (/ 1 1) (- x 1)) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (- x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (8 enodes)
* [exit]simplify:  Simplified to (+ x -1)
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (+ (/ (/ 1 1) (+ x -1)) (/ x (+ x 1))))
* * * * [misc]progress:  [ 17 / 21 ] simplifiying candidate #<alt (λ (x) (+ (* (/ 1 (- (pow x 3) (pow 1 3))) (+ (* x x) (+ (* 1 1) (* x 1)))) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (+ (* x x) (+ (* 1 1) (* x 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* * [misc]simplify:  iters left: 1 (41 enodes)
* [exit]simplify:  Simplified to (+ (* x x) (+ 1 x))
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (+ (* (/ 1 (- (pow x 3) (pow 1 3))) (+ (* x x) (+ 1 x))) (/ x (+ x 1))))
* * * * [misc]progress:  [ 18 / 21 ] simplifiying candidate #<alt (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ x 1)) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (+ x 1)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to (+ 1 x)
* [misc]simplify:  Simplified (2 1 2) to (λ (x) (+ (* (/ 1 (- (* x x) (* 1 1))) (+ 1 x)) (/ x (+ x 1))))
* * * * [misc]progress:  [ 19 / 21 ] simplifiying candidate #<alt (λ (x) (+ (- (+ x (+ (pow x 2) 1))) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (- (+ x (+ (pow x 2) 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (59 enodes)
* * [misc]simplify:  iters left: 2 (83 enodes)
* * [misc]simplify:  iters left: 1 (124 enodes)
* [exit]simplify:  Simplified to (- (- -1 x) (* x x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (+ (- (- -1 x) (* x x)) (/ x (+ x 1))))
* * * * [misc]progress:  [ 20 / 21 ] simplifiying candidate #<alt (λ (x) (+ (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (+ (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) (/ x (+ x 1))))
* * * * [misc]progress:  [ 21 / 21 ] simplifiying candidate #<alt (λ (x) (+ (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) (/ x (+ x 1))))>
* [enter]simplify:  Simplifying (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x))
* [misc]simplify:  Simplified (2 1) to (λ (x) (+ (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) (/ x (+ x 1))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* [enter]simplify:  Simplifying (+ (/ 1 (- x 1)) (/ x (+ x 1)))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (+ (/ 1 (- x 1)) (/ x (+ x 1)))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs