79.573 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.141 * * * [progress]: [2/2] Setting up program. 0.146 * [progress]: [Phase 2 of 3] Improving. 0.146 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.146 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1)))) 0.146 * * [simplify]: iteration 1: (7 enodes) 0.149 * * [simplify]: iteration 2: (14 enodes) 0.153 * * [simplify]: iteration 3: (17 enodes) 0.157 * * [simplify]: iteration 4: (33 enodes) 0.167 * * [simplify]: iteration 5: (58 enodes) 0.179 * * [simplify]: iteration 6: (95 enodes) 0.214 * * [simplify]: iteration 7: (232 enodes) 0.319 * * [simplify]: iteration 8: (442 enodes) 0.625 * * [simplify]: iteration 9: (1055 enodes) 3.325 * * [simplify]: Extracting #0: cost 1 inf + 0 3.325 * * [simplify]: Extracting #1: cost 2 inf + 0 3.325 * * [simplify]: Extracting #2: cost 4 inf + 0 3.325 * * [simplify]: Extracting #3: cost 5 inf + 1 3.326 * * [simplify]: Extracting #4: cost 145 inf + 2 3.331 * * [simplify]: Extracting #5: cost 497 inf + 2704 3.342 * * [simplify]: Extracting #6: cost 177 inf + 50310 3.364 * * [simplify]: Extracting #7: cost 6 inf + 77476 3.390 * * [simplify]: Extracting #8: cost 0 inf + 76309 3.427 * * [simplify]: Extracting #9: cost 0 inf + 75803 3.448 * [simplify]: Simplified to: (log (+ x (sqrt (+ -1 (* x x))))) 3.451 * * [progress]: iteration 1 / 4 3.451 * * * [progress]: picking best candidate 3.453 * * * * [pick]: Picked # 3.453 * * * [progress]: localizing error 3.466 * * * [progress]: generating rewritten candidates 3.466 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 3.482 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.494 * * * [progress]: generating series expansions 3.494 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 3.494 * [backup-simplify]: Simplify (sqrt (- (* x x) 1)) into (sqrt (- (pow x 2) 1)) 3.495 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in (x) around 0 3.495 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.495 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.495 * [taylor]: Taking taylor expansion of x in x 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [taylor]: Taking taylor expansion of 1 in x 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [backup-simplify]: Simplify (- 1) into -1 3.496 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.496 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.496 * [backup-simplify]: Simplify (- 0) into 0 3.496 * [backup-simplify]: Simplify (+ 0 0) into 0 3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.497 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.497 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.497 * [taylor]: Taking taylor expansion of (pow x 2) 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 1 in x 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (- 1) into -1 3.498 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.498 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.498 * [backup-simplify]: Simplify (- 0) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.499 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.499 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (* 1 1) into 1 3.500 * [backup-simplify]: Simplify (- 0) into 0 3.500 * [backup-simplify]: Simplify (+ 1 0) into 1 3.502 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.503 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 3.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.503 * [backup-simplify]: Simplify (- 0) into 0 3.503 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.504 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.505 * [backup-simplify]: Simplify (- 0) into 0 3.505 * [backup-simplify]: Simplify (+ 0 0) into 0 3.508 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 3.509 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 3.510 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.510 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 3.511 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 3.511 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.511 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.511 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.511 * [taylor]: Taking taylor expansion of x in x 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (* 1 1) into 1 3.511 * [backup-simplify]: Simplify (/ 1 1) into 1 3.511 * [taylor]: Taking taylor expansion of 1 in x 3.511 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify (+ 1 0) into 1 3.512 * [backup-simplify]: Simplify (sqrt 1) into 1 3.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.513 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.513 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.513 * [taylor]: Taking taylor expansion of x in x 3.514 * [backup-simplify]: Simplify 0 into 0 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (* 1 1) into 1 3.514 * [backup-simplify]: Simplify (/ 1 1) into 1 3.514 * [taylor]: Taking taylor expansion of 1 in x 3.514 * [backup-simplify]: Simplify 1 into 1 3.514 * [backup-simplify]: Simplify (+ 1 0) into 1 3.515 * [backup-simplify]: Simplify (sqrt 1) into 1 3.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ 0 0) into 0 3.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.516 * [backup-simplify]: Simplify 1 into 1 3.516 * [backup-simplify]: Simplify 0 into 0 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.518 * [backup-simplify]: Simplify (- 1) into -1 3.518 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.519 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.519 * [backup-simplify]: Simplify -1/2 into -1/2 3.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (- 0) into 0 3.521 * [backup-simplify]: Simplify (+ 0 0) into 0 3.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.522 * [backup-simplify]: Simplify 0 into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (- 0) into 0 3.524 * [backup-simplify]: Simplify (+ 0 0) into 0 3.525 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.525 * [backup-simplify]: Simplify -1/8 into -1/8 3.525 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.525 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 3.525 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 3.525 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.525 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.525 * [taylor]: Taking taylor expansion of x in x 3.525 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify 1 into 1 3.525 * [backup-simplify]: Simplify (* 1 1) into 1 3.526 * [backup-simplify]: Simplify (/ 1 1) into 1 3.526 * [taylor]: Taking taylor expansion of 1 in x 3.526 * [backup-simplify]: Simplify 1 into 1 3.526 * [backup-simplify]: Simplify (+ 1 0) into 1 3.526 * [backup-simplify]: Simplify (sqrt 1) into 1 3.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.532 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.532 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.532 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.532 * [taylor]: Taking taylor expansion of x in x 3.532 * [backup-simplify]: Simplify 0 into 0 3.532 * [backup-simplify]: Simplify 1 into 1 3.533 * [backup-simplify]: Simplify (* 1 1) into 1 3.533 * [backup-simplify]: Simplify (/ 1 1) into 1 3.533 * [taylor]: Taking taylor expansion of 1 in x 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [backup-simplify]: Simplify (+ 1 0) into 1 3.533 * [backup-simplify]: Simplify (sqrt 1) into 1 3.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.535 * [backup-simplify]: Simplify (+ 0 0) into 0 3.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.535 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (- 1) into -1 3.537 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.538 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.538 * [backup-simplify]: Simplify -1/2 into -1/2 3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.539 * [backup-simplify]: Simplify (- 0) into 0 3.539 * [backup-simplify]: Simplify (+ 0 0) into 0 3.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.540 * [backup-simplify]: Simplify 0 into 0 3.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.542 * [backup-simplify]: Simplify (- 0) into 0 3.542 * [backup-simplify]: Simplify (+ 0 0) into 0 3.543 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.543 * [backup-simplify]: Simplify -1/8 into -1/8 3.543 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 3.543 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.543 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1))) into (+ x (sqrt (- (pow x 2) 1))) 3.543 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in (x) around 0 3.543 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 3.543 * [taylor]: Taking taylor expansion of x in x 3.543 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.544 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.544 * [taylor]: Taking taylor expansion of x in x 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [taylor]: Taking taylor expansion of 1 in x 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (- 1) into -1 3.544 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.544 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.545 * [backup-simplify]: Simplify (- 0) into 0 3.545 * [backup-simplify]: Simplify (+ 0 0) into 0 3.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.545 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 3.545 * [taylor]: Taking taylor expansion of x in x 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.545 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.545 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.545 * [taylor]: Taking taylor expansion of x in x 3.545 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify 1 into 1 3.546 * [taylor]: Taking taylor expansion of 1 in x 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (- 1) into -1 3.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.546 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.547 * [backup-simplify]: Simplify (- 0) into 0 3.547 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.548 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 3.548 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.548 * [backup-simplify]: Simplify (+ 1 0) into 1 3.548 * [backup-simplify]: Simplify 1 into 1 3.549 * [backup-simplify]: Simplify (* 1 1) into 1 3.549 * [backup-simplify]: Simplify (- 0) into 0 3.549 * [backup-simplify]: Simplify (+ 1 0) into 1 3.551 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.552 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 3.553 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.554 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.554 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 3.554 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 3.554 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.554 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.554 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.554 * [taylor]: Taking taylor expansion of x in x 3.554 * [backup-simplify]: Simplify 0 into 0 3.554 * [backup-simplify]: Simplify 1 into 1 3.554 * [backup-simplify]: Simplify (* 1 1) into 1 3.555 * [backup-simplify]: Simplify (/ 1 1) into 1 3.555 * [taylor]: Taking taylor expansion of 1 in x 3.555 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify (+ 1 0) into 1 3.555 * [backup-simplify]: Simplify (sqrt 1) into 1 3.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.556 * [backup-simplify]: Simplify (+ 0 0) into 0 3.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.557 * [taylor]: Taking taylor expansion of x in x 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (/ 1 1) into 1 3.557 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.557 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.557 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.557 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.557 * [taylor]: Taking taylor expansion of x in x 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (* 1 1) into 1 3.558 * [backup-simplify]: Simplify (/ 1 1) into 1 3.558 * [taylor]: Taking taylor expansion of 1 in x 3.558 * [backup-simplify]: Simplify 1 into 1 3.558 * [backup-simplify]: Simplify (+ 1 0) into 1 3.558 * [backup-simplify]: Simplify (sqrt 1) into 1 3.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.560 * [backup-simplify]: Simplify (+ 0 0) into 0 3.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.560 * [taylor]: Taking taylor expansion of x in x 3.560 * [backup-simplify]: Simplify 0 into 0 3.560 * [backup-simplify]: Simplify 1 into 1 3.561 * [backup-simplify]: Simplify (/ 1 1) into 1 3.561 * [backup-simplify]: Simplify (+ 1 1) into 2 3.561 * [backup-simplify]: Simplify 2 into 2 3.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ 0 0) into 0 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.565 * [backup-simplify]: Simplify (- 1) into -1 3.565 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.566 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.567 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.568 * [backup-simplify]: Simplify -1/2 into -1/2 3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (- 0) into 0 3.570 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.573 * [backup-simplify]: Simplify (+ 0 0) into 0 3.573 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.575 * [backup-simplify]: Simplify (- 0) into 0 3.576 * [backup-simplify]: Simplify (+ 0 0) into 0 3.577 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.578 * [backup-simplify]: Simplify -1/8 into -1/8 3.579 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.579 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 3.579 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 3.579 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.579 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.579 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.579 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.579 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.579 * [taylor]: Taking taylor expansion of x in x 3.579 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (* 1 1) into 1 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.580 * [taylor]: Taking taylor expansion of 1 in x 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (+ 1 0) into 1 3.581 * [backup-simplify]: Simplify (sqrt 1) into 1 3.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.583 * [taylor]: Taking taylor expansion of x in x 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (/ 1 1) into 1 3.584 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.584 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.584 * [taylor]: Taking taylor expansion of x in x 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (* 1 1) into 1 3.585 * [backup-simplify]: Simplify (/ 1 1) into 1 3.585 * [taylor]: Taking taylor expansion of 1 in x 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (+ 1 0) into 1 3.585 * [backup-simplify]: Simplify (sqrt 1) into 1 3.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.587 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.588 * [taylor]: Taking taylor expansion of x in x 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [backup-simplify]: Simplify (/ 1 1) into 1 3.589 * [backup-simplify]: Simplify (- 1) into -1 3.589 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (- 0) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (- 1) into -1 3.593 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.593 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (- 0) into 0 3.595 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.595 * [backup-simplify]: Simplify -1/2 into -1/2 3.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.596 * [backup-simplify]: Simplify (- 0) into 0 3.596 * [backup-simplify]: Simplify (+ 0 0) into 0 3.597 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (- 0) into 0 3.598 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify 0 into 0 3.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (- 0) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.601 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.601 * [backup-simplify]: Simplify (- 0) into 0 3.602 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.602 * [backup-simplify]: Simplify -1/8 into -1/8 3.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (- 0) into 0 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 3.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (- 0) into 0 3.606 * [backup-simplify]: Simplify (+ 0 0) into 0 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (- 0) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (- 0) into 0 3.610 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 3.610 * [backup-simplify]: Simplify -1/16 into -1/16 3.610 * [backup-simplify]: Simplify (+ (* -1/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) (* -1/2 (/ 1 (- x))))) into (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.610 * * * [progress]: simplifying candidates 3.610 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 3.610 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 3.610 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 3.610 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 3.610 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 3.610 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 3.610 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 3.610 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 3.610 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 16 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 19 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (- (* x x) 1)))))))> 3.611 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 31 / 38 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (- (* x x) 1)))))))> 3.611 * * * * [progress]: [ 32 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 3.611 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 3.612 * [simplify]: Simplifying: (log (sqrt (- (* x x) 1))) (exp (sqrt (- (* x x) 1))) (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1)))) (cbrt (sqrt (- (* x x) 1))) (* (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) (sqrt (cbrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt 1) (sqrt (- (* x x) 1)) (sqrt (+ x (sqrt 1))) (sqrt (- x (sqrt 1))) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (- (pow (* x x) 3) (pow 1 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))) (sqrt (- (* (* x x) (* x x)) (* 1 1))) (sqrt (+ (* x x) 1)) (/ 1 2) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (real->posit16 (sqrt (- (* x x) 1))) (* (exp x) (exp (sqrt (- (* x x) 1)))) (log (+ x (sqrt (- (* x x) 1)))) (exp (+ x (sqrt (- (* x x) 1)))) (* (cbrt (+ x (sqrt (- (* x x) 1)))) (cbrt (+ x (sqrt (- (* x x) 1))))) (cbrt (+ x (sqrt (- (* x x) 1)))) (* (* (+ x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (* x (sqrt (- (* x x) 1))))) (- (* x x) (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1)))) (- x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1))) (real->posit16 (+ x (sqrt (- (* x x) 1)))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.613 * * [simplify]: iteration 1: (91 enodes) 3.640 * * [simplify]: iteration 2: (206 enodes) 3.697 * * [simplify]: iteration 3: (438 enodes) 3.878 * * [simplify]: iteration 4: (999 enodes) 5.122 * * [simplify]: Extracting #0: cost 35 inf + 0 5.122 * * [simplify]: Extracting #1: cost 163 inf + 2 5.124 * * [simplify]: Extracting #2: cost 373 inf + 853 5.128 * * [simplify]: Extracting #3: cost 346 inf + 18571 5.146 * * [simplify]: Extracting #4: cost 105 inf + 84514 5.170 * * [simplify]: Extracting #5: cost 12 inf + 117412 5.206 * * [simplify]: Extracting #6: cost 0 inf + 120977 5.250 * [simplify]: Simplified to: (log (sqrt (+ -1 (* x x)))) (exp (sqrt (+ -1 (* x x)))) (* (cbrt (sqrt (+ -1 (* x x)))) (cbrt (sqrt (+ -1 (* x x))))) (cbrt (sqrt (+ -1 (* x x)))) (* (sqrt (+ -1 (* x x))) (+ -1 (* x x))) (fabs (cbrt (+ -1 (* x x)))) (sqrt (cbrt (+ -1 (* x x)))) (sqrt (sqrt (+ -1 (* x x)))) (sqrt (sqrt (+ -1 (* x x)))) 1 (sqrt (+ -1 (* x x))) (sqrt (+ 1 x)) (sqrt (- x 1)) (sqrt (+ 1 x)) (sqrt (- x 1)) (sqrt (+ 1 x)) (sqrt (- x 1)) (sqrt (- (* (* x (* x x)) (* x (* x x))) 1)) (sqrt (+ (+ (* x x) 1) (* (* x x) (* x x)))) (sqrt (- (* (* x x) (* x x)) 1)) (sqrt (+ (* x x) 1)) 1/2 (sqrt (sqrt (+ -1 (* x x)))) (sqrt (sqrt (+ -1 (* x x)))) (real->posit16 (sqrt (+ -1 (* x x)))) (exp (+ x (sqrt (+ -1 (* x x))))) (log (+ x (sqrt (+ -1 (* x x))))) (exp (+ x (sqrt (+ -1 (* x x))))) (* (cbrt (+ x (sqrt (+ -1 (* x x))))) (cbrt (+ x (sqrt (+ -1 (* x x)))))) (cbrt (+ x (sqrt (+ -1 (* x x))))) (* (* (+ x (sqrt (+ -1 (* x x)))) (+ x (sqrt (+ -1 (* x x))))) (+ x (sqrt (+ -1 (* x x))))) (sqrt (+ x (sqrt (+ -1 (* x x))))) (sqrt (+ x (sqrt (+ -1 (* x x))))) (+ (* x (* x x)) (* (sqrt (+ -1 (* x x))) (+ -1 (* x x)))) (+ (* (- x (sqrt (+ -1 (* x x)))) x) (+ -1 (* x x))) 1 (- x (sqrt (+ -1 (* x x)))) (+ x (sqrt (+ -1 (* x x)))) (real->posit16 (+ x (sqrt (+ -1 (* x x))))) (+ (/ 1/2 (/ (sqrt -1) (* x x))) (+ (* (/ 1/8 (sqrt -1)) (* (* x x) (* x x))) (sqrt -1))) (- (- x (/ (/ 1/8 x) (* x x))) (/ 1/2 x)) (+ (/ 1/2 x) (- (/ (/ 1/8 x) (* x x)) x)) (+ (+ x (sqrt -1)) (/ 1/2 (/ (sqrt -1) (* x x)))) (- (+ (/ -1/2 x) (+ x x)) (/ (/ 1/8 x) (* x x))) (+ (/ 1/2 x) (+ (/ (/ 1/8 x) (* x x)) (/ 1/16 (* (* x (* x x)) (* x x))))) 5.254 * * * [progress]: adding candidates to table 5.542 * * [progress]: iteration 2 / 4 5.543 * * * [progress]: picking best candidate 5.547 * * * * [pick]: Picked # 5.547 * * * [progress]: localizing error 5.574 * * * [progress]: generating rewritten candidates 5.574 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 5.608 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.613 * * * [progress]: generating series expansions 5.613 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 5.613 * [backup-simplify]: Simplify (* (sqrt (+ x 1)) (sqrt (- x 1))) into (sqrt (* (+ x 1) (- x 1))) 5.613 * [approximate]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in (x) around 0 5.613 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.613 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.613 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.613 * [taylor]: Taking taylor expansion of x in x 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [taylor]: Taking taylor expansion of 1 in x 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [taylor]: Taking taylor expansion of (- x 1) in x 5.613 * [taylor]: Taking taylor expansion of x in x 5.613 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 1 into 1 5.614 * [taylor]: Taking taylor expansion of 1 in x 5.614 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (+ 0 1) into 1 5.614 * [backup-simplify]: Simplify (- 1) into -1 5.615 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.615 * [backup-simplify]: Simplify (* 1 -1) into -1 5.615 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.616 * [backup-simplify]: Simplify (- 0) into 0 5.616 * [backup-simplify]: Simplify (+ 1 0) into 1 5.616 * [backup-simplify]: Simplify (+ 1 0) into 1 5.617 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.617 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.617 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.617 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.617 * [taylor]: Taking taylor expansion of x in x 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [taylor]: Taking taylor expansion of 1 in x 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [taylor]: Taking taylor expansion of (- x 1) in x 5.617 * [taylor]: Taking taylor expansion of x in x 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [taylor]: Taking taylor expansion of 1 in x 5.617 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify (+ 0 1) into 1 5.618 * [backup-simplify]: Simplify (- 1) into -1 5.618 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.618 * [backup-simplify]: Simplify (* 1 -1) into -1 5.619 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.619 * [backup-simplify]: Simplify (- 0) into 0 5.619 * [backup-simplify]: Simplify (+ 1 0) into 1 5.619 * [backup-simplify]: Simplify (+ 1 0) into 1 5.620 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.620 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify (- 0) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 5.623 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 5.624 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 5.624 * [backup-simplify]: Simplify (- 0) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 5.626 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify (- 0) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.630 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 5.631 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 5.632 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 5.633 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) into (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) 5.633 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in (x) around 0 5.633 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.633 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.633 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.633 * [taylor]: Taking taylor expansion of x in x 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [taylor]: Taking taylor expansion of 1 in x 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.633 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.633 * [taylor]: Taking taylor expansion of x in x 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [taylor]: Taking taylor expansion of 1 in x 5.633 * [backup-simplify]: Simplify 1 into 1 5.634 * [backup-simplify]: Simplify (+ 1 0) into 1 5.634 * [backup-simplify]: Simplify (+ 1 0) into 1 5.634 * [backup-simplify]: Simplify (* 1 1) into 1 5.634 * [backup-simplify]: Simplify (sqrt 1) into 1 5.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (- 1) into -1 5.638 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.639 * [backup-simplify]: Simplify (+ 0 1) into 1 5.640 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.640 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.640 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.640 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.640 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.640 * [taylor]: Taking taylor expansion of x in x 5.640 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [taylor]: Taking taylor expansion of 1 in x 5.640 * [backup-simplify]: Simplify 1 into 1 5.640 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.641 * [taylor]: Taking taylor expansion of x in x 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [taylor]: Taking taylor expansion of 1 in x 5.641 * [backup-simplify]: Simplify 1 into 1 5.641 * [backup-simplify]: Simplify (+ 1 0) into 1 5.641 * [backup-simplify]: Simplify (+ 1 0) into 1 5.642 * [backup-simplify]: Simplify (* 1 1) into 1 5.642 * [backup-simplify]: Simplify (sqrt 1) into 1 5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (- 1) into -1 5.643 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (+ 0 1) into 1 5.644 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.644 * [backup-simplify]: Simplify 1 into 1 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (- 0) into 0 5.646 * [backup-simplify]: Simplify (+ 0 0) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.646 * [backup-simplify]: Simplify (+ 0 0) into 0 5.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 5.648 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 5.648 * [backup-simplify]: Simplify -1/2 into -1/2 5.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.649 * [backup-simplify]: Simplify (- 0) into 0 5.649 * [backup-simplify]: Simplify (+ 0 0) into 0 5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (+ 0 0) into 0 5.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 5.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 5.651 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (- 0) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.653 * [backup-simplify]: Simplify (+ 0 0) into 0 5.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 5.655 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.655 * [backup-simplify]: Simplify -1/8 into -1/8 5.655 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 5.655 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) 5.655 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in (x) around 0 5.655 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.655 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.655 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.655 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.655 * [taylor]: Taking taylor expansion of x in x 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [backup-simplify]: Simplify (/ 1 1) into 1 5.655 * [taylor]: Taking taylor expansion of 1 in x 5.655 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (+ 1 0) into 1 5.656 * [backup-simplify]: Simplify (- 1) into -1 5.656 * [backup-simplify]: Simplify (sqrt 0) into 0 5.657 * [backup-simplify]: Simplify (- 1) into -1 5.658 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.658 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.658 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.658 * [taylor]: Taking taylor expansion of 1 in x 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.658 * [taylor]: Taking taylor expansion of x in x 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 1 into 1 5.658 * [backup-simplify]: Simplify (/ 1 1) into 1 5.658 * [backup-simplify]: Simplify (- 1) into -1 5.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.659 * [backup-simplify]: Simplify (sqrt 0) into 0 5.659 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.660 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.660 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.660 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.660 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.660 * [taylor]: Taking taylor expansion of x in x 5.660 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (/ 1 1) into 1 5.660 * [taylor]: Taking taylor expansion of 1 in x 5.660 * [backup-simplify]: Simplify 1 into 1 5.660 * [backup-simplify]: Simplify (+ 1 0) into 1 5.660 * [backup-simplify]: Simplify (- 1) into -1 5.661 * [backup-simplify]: Simplify (sqrt 0) into 0 5.661 * [backup-simplify]: Simplify (- 1) into -1 5.662 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.662 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.662 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.662 * [taylor]: Taking taylor expansion of 1 in x 5.662 * [backup-simplify]: Simplify 1 into 1 5.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.662 * [taylor]: Taking taylor expansion of x in x 5.662 * [backup-simplify]: Simplify 0 into 0 5.662 * [backup-simplify]: Simplify 1 into 1 5.662 * [backup-simplify]: Simplify (/ 1 1) into 1 5.662 * [backup-simplify]: Simplify (- 1) into -1 5.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.663 * [backup-simplify]: Simplify (sqrt 0) into 0 5.664 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.664 * [backup-simplify]: Simplify (* 0 0) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.665 * [backup-simplify]: Simplify (- 0) into 0 5.666 * [backup-simplify]: Simplify (+ 1 0) into 1 5.668 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.668 * [backup-simplify]: Simplify (+ 0 1) into 1 5.669 * [backup-simplify]: Simplify (- 1) into -1 5.670 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.672 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 5.672 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.673 * [backup-simplify]: Simplify (- 0) into 0 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.676 * [backup-simplify]: Simplify (+ 0 0) into 0 5.677 * [backup-simplify]: Simplify (- 0) into 0 5.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.681 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 5.682 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.683 * [backup-simplify]: Simplify (- 0) into 0 5.683 * [backup-simplify]: Simplify (+ 0 0) into 0 5.688 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (+ 0 0) into 0 5.690 * [backup-simplify]: Simplify (- 0) into 0 5.695 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.700 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 5.701 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.702 * [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))))) 5.703 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 5.703 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) into (+ x (sqrt (* (+ x 1) (- x 1)))) 5.703 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in (x) around 0 5.703 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.703 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.703 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [taylor]: Taking taylor expansion of 1 in x 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [taylor]: Taking taylor expansion of (- x 1) in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 1 into 1 5.703 * [taylor]: Taking taylor expansion of 1 in x 5.703 * [backup-simplify]: Simplify 1 into 1 5.704 * [backup-simplify]: Simplify (+ 0 1) into 1 5.704 * [backup-simplify]: Simplify (- 1) into -1 5.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.705 * [backup-simplify]: Simplify (* 1 -1) into -1 5.705 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.706 * [backup-simplify]: Simplify (- 0) into 0 5.706 * [backup-simplify]: Simplify (+ 1 0) into 1 5.707 * [backup-simplify]: Simplify (+ 1 0) into 1 5.707 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.708 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 5.708 * [taylor]: Taking taylor expansion of x in x 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 1 into 1 5.708 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.708 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.708 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.708 * [taylor]: Taking taylor expansion of x in x 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 1 into 1 5.708 * [taylor]: Taking taylor expansion of 1 in x 5.708 * [backup-simplify]: Simplify 1 into 1 5.708 * [taylor]: Taking taylor expansion of (- x 1) in x 5.709 * [taylor]: Taking taylor expansion of x in x 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [taylor]: Taking taylor expansion of 1 in x 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [backup-simplify]: Simplify (+ 0 1) into 1 5.709 * [backup-simplify]: Simplify (- 1) into -1 5.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.710 * [backup-simplify]: Simplify (* 1 -1) into -1 5.711 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.711 * [backup-simplify]: Simplify (- 0) into 0 5.712 * [backup-simplify]: Simplify (+ 1 0) into 1 5.712 * [backup-simplify]: Simplify (+ 1 0) into 1 5.713 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.714 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 5.715 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.715 * [backup-simplify]: Simplify (+ 1 0) into 1 5.715 * [backup-simplify]: Simplify 1 into 1 5.716 * [backup-simplify]: Simplify (- 0) into 0 5.716 * [backup-simplify]: Simplify (+ 0 0) into 0 5.716 * [backup-simplify]: Simplify (+ 0 0) into 0 5.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 5.720 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 5.721 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 5.723 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 5.724 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 5.725 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) into (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) 5.725 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in (x) around 0 5.725 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 5.725 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.725 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.725 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.725 * [taylor]: Taking taylor expansion of x in x 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (/ 1 1) into 1 5.725 * [taylor]: Taking taylor expansion of 1 in x 5.725 * [backup-simplify]: Simplify 1 into 1 5.725 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.725 * [taylor]: Taking taylor expansion of x in x 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.726 * [backup-simplify]: Simplify (/ 1 1) into 1 5.726 * [taylor]: Taking taylor expansion of 1 in x 5.726 * [backup-simplify]: Simplify 1 into 1 5.726 * [backup-simplify]: Simplify (+ 1 0) into 1 5.727 * [backup-simplify]: Simplify (+ 1 0) into 1 5.727 * [backup-simplify]: Simplify (* 1 1) into 1 5.727 * [backup-simplify]: Simplify (sqrt 1) into 1 5.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.729 * [backup-simplify]: Simplify (- 1) into -1 5.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.730 * [backup-simplify]: Simplify (+ 0 1) into 1 5.731 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.731 * [taylor]: Taking taylor expansion of x in x 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.732 * [backup-simplify]: Simplify (/ 1 1) into 1 5.732 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 5.732 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.732 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.732 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.732 * [taylor]: Taking taylor expansion of x in x 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.732 * [backup-simplify]: Simplify (/ 1 1) into 1 5.732 * [taylor]: Taking taylor expansion of 1 in x 5.732 * [backup-simplify]: Simplify 1 into 1 5.733 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.733 * [taylor]: Taking taylor expansion of x in x 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (/ 1 1) into 1 5.733 * [taylor]: Taking taylor expansion of 1 in x 5.733 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (+ 1 0) into 1 5.734 * [backup-simplify]: Simplify (+ 1 0) into 1 5.734 * [backup-simplify]: Simplify (* 1 1) into 1 5.735 * [backup-simplify]: Simplify (sqrt 1) into 1 5.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.735 * [backup-simplify]: Simplify (- 1) into -1 5.736 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify (+ 0 1) into 1 5.737 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.737 * [taylor]: Taking taylor expansion of x in x 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 1 into 1 5.737 * [backup-simplify]: Simplify (/ 1 1) into 1 5.738 * [backup-simplify]: Simplify (+ 1 1) into 2 5.738 * [backup-simplify]: Simplify 2 into 2 5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.739 * [backup-simplify]: Simplify (+ 0 0) into 0 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.739 * [backup-simplify]: Simplify (- 0) into 0 5.740 * [backup-simplify]: Simplify (+ 0 0) into 0 5.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.740 * [backup-simplify]: Simplify (+ 0 0) into 0 5.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 5.742 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 5.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.742 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 5.742 * [backup-simplify]: Simplify -1/2 into -1/2 5.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.743 * [backup-simplify]: Simplify (- 0) into 0 5.743 * [backup-simplify]: Simplify (+ 0 0) into 0 5.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.746 * [backup-simplify]: Simplify (+ 0 0) into 0 5.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 5.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 5.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.749 * [backup-simplify]: Simplify (+ 0 0) into 0 5.749 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.750 * [backup-simplify]: Simplify (- 0) into 0 5.750 * [backup-simplify]: Simplify (+ 0 0) into 0 5.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (+ 0 0) into 0 5.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 5.753 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.753 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 5.753 * [backup-simplify]: Simplify -1/8 into -1/8 5.754 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 5.754 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) into (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) 5.754 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in (x) around 0 5.754 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 5.754 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.754 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.754 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.754 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.754 * [taylor]: Taking taylor expansion of x in x 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify (/ 1 1) into 1 5.754 * [taylor]: Taking taylor expansion of 1 in x 5.754 * [backup-simplify]: Simplify 1 into 1 5.755 * [backup-simplify]: Simplify (+ 1 0) into 1 5.755 * [backup-simplify]: Simplify (- 1) into -1 5.755 * [backup-simplify]: Simplify (sqrt 0) into 0 5.755 * [backup-simplify]: Simplify (- 1) into -1 5.756 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.756 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.756 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.756 * [taylor]: Taking taylor expansion of 1 in x 5.756 * [backup-simplify]: Simplify 1 into 1 5.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.756 * [taylor]: Taking taylor expansion of x in x 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (/ 1 1) into 1 5.757 * [backup-simplify]: Simplify (- 1) into -1 5.757 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.757 * [backup-simplify]: Simplify (sqrt 0) into 0 5.758 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.758 * [taylor]: Taking taylor expansion of x in x 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [backup-simplify]: Simplify (/ 1 1) into 1 5.759 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 5.759 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.759 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.759 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.759 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.759 * [taylor]: Taking taylor expansion of x in x 5.759 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (/ 1 1) into 1 5.759 * [taylor]: Taking taylor expansion of 1 in x 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [backup-simplify]: Simplify (+ 1 0) into 1 5.759 * [backup-simplify]: Simplify (- 1) into -1 5.760 * [backup-simplify]: Simplify (sqrt 0) into 0 5.760 * [backup-simplify]: Simplify (- 1) into -1 5.761 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.761 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.761 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.761 * [taylor]: Taking taylor expansion of 1 in x 5.761 * [backup-simplify]: Simplify 1 into 1 5.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.761 * [taylor]: Taking taylor expansion of x in x 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (/ 1 1) into 1 5.761 * [backup-simplify]: Simplify (- 1) into -1 5.762 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.762 * [backup-simplify]: Simplify (sqrt 0) into 0 5.763 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.763 * [taylor]: Taking taylor expansion of x in x 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (/ 1 1) into 1 5.763 * [backup-simplify]: Simplify (* 0 0) into 0 5.763 * [backup-simplify]: Simplify (+ 0 0) into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 5.764 * [backup-simplify]: Simplify (- 1) into -1 5.765 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.765 * [backup-simplify]: Simplify -1 into -1 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (- 0) into 0 5.766 * [backup-simplify]: Simplify (+ 1 0) into 1 5.768 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.768 * [backup-simplify]: Simplify (+ 0 1) into 1 5.769 * [backup-simplify]: Simplify (- 1) into -1 5.770 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.772 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 5.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify (- 0) into 0 5.773 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.774 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.774 * [backup-simplify]: Simplify (- 0) into 0 5.775 * [backup-simplify]: Simplify (+ 0 0) into 0 5.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.778 * [backup-simplify]: Simplify (+ 0 0) into 0 5.779 * [backup-simplify]: Simplify (- 0) into 0 5.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.786 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 5.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.788 * [backup-simplify]: Simplify (- 0) into 0 5.788 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.789 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.790 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 5.790 * * * [progress]: simplifying candidates 5.790 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 5.790 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 5.791 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 5.792 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 5.793 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 50 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #real (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 5.793 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 5.793 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 5.794 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 5.794 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 5.794 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 5.794 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 5.794 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 5.795 * [simplify]: Simplifying: (* (+ x 1) (- x 1)) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (+ x 1) (- x 1)) (+ (log (sqrt (+ x 1))) (log (sqrt (- x 1)))) (log (* (sqrt (+ x 1)) (sqrt (- x 1)))) (exp (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1)))) (* (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (+ x 1) (- x 1)) (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1))))) (* (sqrt (+ x 1)) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) (sqrt 1)))) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ x 1)) (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) 1) (* (cbrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (cbrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- x 1))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (exp x) (exp (* (sqrt (+ x 1)) (sqrt (- x 1))))) (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (exp (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (* (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (* (* (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ (pow x 3) (pow (* (sqrt (+ x 1)) (sqrt (- x 1))) 3)) (+ (* x x) (- (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (- (* x x) (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) (- x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 5.797 * * [simplify]: iteration 1: (132 enodes) 5.837 * * [simplify]: iteration 2: (293 enodes) 5.943 * * [simplify]: iteration 3: (660 enodes) 6.403 * * [simplify]: iteration 4: (1730 enodes) 8.599 * * [simplify]: Extracting #0: cost 45 inf + 0 8.601 * * [simplify]: Extracting #1: cost 342 inf + 0 8.607 * * [simplify]: Extracting #2: cost 952 inf + 982 8.632 * * [simplify]: Extracting #3: cost 848 inf + 63054 8.733 * * [simplify]: Extracting #4: cost 164 inf + 247838 8.839 * * [simplify]: Extracting #5: cost 4 inf + 303115 8.945 * * [simplify]: Extracting #6: cost 0 inf + 304058 9.048 * [simplify]: Simplified to: (- (* x x) 1) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (- (* x x) 1) (log (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (log (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (exp (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (* (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (+ 1 x)) (+ x -1)) (* (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (* (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (+ 1 x)) (+ x -1)) (- (* x x) 1) (sqrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (sqrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (sqrt (+ (* x (* x x)) -1)) (sqrt (+ 1 (* x (* x x))))) (* (sqrt (+ (* x x) (- 1 x))) (sqrt (+ 1 (+ (* x x) x)))) (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (* x (* x x))))) (* (sqrt (+ 1 x)) (sqrt (+ (* x x) (- 1 x)))) (* (sqrt (+ (* x (* x x)) -1)) (sqrt (- (* x x) 1))) (* (sqrt (+ 1 (+ (* x x) x))) (sqrt (+ x -1))) (- (* x x) 1) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (+ 1 x)) (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) (* (fabs (cbrt (+ x -1))) (sqrt (+ 1 x))) (* (sqrt (+ 1 x)) (sqrt (sqrt (+ x -1)))) (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt (+ 1 (sqrt x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 (sqrt x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 (sqrt x)))) (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt (sqrt (+ x -1)))) (sqrt (+ 1 x)) (* (cbrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (cbrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ (* x (* x x)) -1))) (* (sqrt (- (* x x) 1)) (sqrt (+ 1 x))) (* (sqrt (+ 1 (* x (* x x)))) (sqrt (+ x -1))) (* (sqrt (- (* x x) 1)) (sqrt (+ x -1))) (real->posit16 (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (exp (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (log (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (exp (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (* (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x))) (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (* (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x) (* (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x) (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x))) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (+ (* (* (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (+ 1 x)) (+ x -1)) (* x (* x x))) (+ (* (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (- (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (* x x)) (- (- (* x x) (* x x)) -1) (- x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (real->posit16 (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (+ (+ (sqrt -1) (/ (* x x) (/ (/ (sqrt -1) (* x x)) 1/8))) (/ (* x 1/2) (/ (sqrt -1) x))) (- (/ -1/2 x) (- (/ 1/8 (* x (* x x))) x)) (+ (- (/ (/ (- +nan.0) x) x) (/ (- +nan.0) x)) (- +nan.0)) (+ (/ (* x 1/2) (/ (sqrt -1) x)) (+ x (sqrt -1))) (- (* x 2) (- (/ 1/2 x) (/ -1/8 (* x (* x x))))) (+ +nan.0 (- x (/ +nan.0 x))) 9.055 * * * [progress]: adding candidates to table 9.593 * [progress]: [Phase 3 of 3] Extracting. 9.598 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) 9.599 * * [simplify]: iteration 1: (9 enodes) 9.599 * * [simplify]: iteration 2: (12 enodes) 9.600 * * [simplify]: Extracting #0: cost 1 inf + 0 9.600 * * [simplify]: Extracting #1: cost 2 inf + 0 9.600 * * [simplify]: Extracting #2: cost 4 inf + 0 9.600 * * [simplify]: Extracting #3: cost 5 inf + 1 9.600 * * [simplify]: Extracting #4: cost 7 inf + 1 9.600 * * [simplify]: Extracting #5: cost 8 inf + 1 9.600 * * [simplify]: Extracting #6: cost 0 inf + 1006 9.601 * [simplify]: Simplified to: (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x 1))))) 14.610 * [regime-testing]: Baseline error score: 0.08049345393014642 14.614 * [regime-testing]: Oracle error score: 0.08049345393014642 14.615 * [regime-testing]: End program error score: 0.08049345393014642