0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.151 * * * [progress]: [2/2] Setting up program. 0.156 * [progress]: [Phase 2 of 3] Improving. 0.156 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.157 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1)))) 0.157 * * [simplify]: iteration 1: (7 enodes) 0.161 * * [simplify]: iteration 2: (30 enodes) 0.171 * * [simplify]: iteration 3: (41 enodes) 0.182 * * [simplify]: iteration 4: (57 enodes) 0.205 * * [simplify]: iteration 5: (94 enodes) 0.235 * * [simplify]: iteration 6: (136 enodes) 0.296 * * [simplify]: iteration 7: (268 enodes) 0.439 * * [simplify]: iteration 8: (473 enodes) 0.848 * * [simplify]: iteration 9: (1117 enodes) 6.266 * * [simplify]: Extracting #0: cost 1 inf + 0 6.266 * * [simplify]: Extracting #1: cost 3 inf + 0 6.266 * * [simplify]: Extracting #2: cost 6 inf + 0 6.266 * * [simplify]: Extracting #3: cost 7 inf + 1 6.266 * * [simplify]: Extracting #4: cost 144 inf + 1 6.269 * * [simplify]: Extracting #5: cost 534 inf + 1795 6.291 * * [simplify]: Extracting #6: cost 145 inf + 59679 6.340 * * [simplify]: Extracting #7: cost 0 inf + 81248 6.372 * * [simplify]: Extracting #8: cost 0 inf + 76204 6.420 * * [simplify]: Extracting #9: cost 0 inf + 75893 6.468 * [simplify]: Simplified to: (log (+ x (sqrt (+ -1 (* x x))))) 6.471 * * [progress]: iteration 1 / 4 6.471 * * * [progress]: picking best candidate 6.473 * * * * [pick]: Picked # 6.473 * * * [progress]: localizing error 6.486 * * * [progress]: generating rewritten candidates 6.486 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 6.494 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.512 * * * [progress]: generating series expansions 6.512 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 6.512 * [backup-simplify]: Simplify (sqrt (- (* x x) 1)) into (sqrt (- (pow x 2) 1)) 6.512 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in (x) around 0 6.512 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 6.512 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 6.512 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.512 * [taylor]: Taking taylor expansion of x in x 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [taylor]: Taking taylor expansion of 1 in x 6.512 * [backup-simplify]: Simplify 1 into 1 6.513 * [backup-simplify]: Simplify (- 1) into -1 6.513 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.514 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.514 * [backup-simplify]: Simplify (- 0) into 0 6.514 * [backup-simplify]: Simplify (+ 0 0) into 0 6.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.515 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 6.515 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 6.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.515 * [taylor]: Taking taylor expansion of x in x 6.515 * [backup-simplify]: Simplify 0 into 0 6.515 * [backup-simplify]: Simplify 1 into 1 6.515 * [taylor]: Taking taylor expansion of 1 in x 6.515 * [backup-simplify]: Simplify 1 into 1 6.515 * [backup-simplify]: Simplify (- 1) into -1 6.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.516 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.516 * [backup-simplify]: Simplify (- 0) into 0 6.516 * [backup-simplify]: Simplify (+ 0 0) into 0 6.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.517 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.517 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify (* 1 1) into 1 6.518 * [backup-simplify]: Simplify (- 0) into 0 6.518 * [backup-simplify]: Simplify (+ 1 0) into 1 6.520 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 6.520 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 6.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.521 * [backup-simplify]: Simplify (- 0) into 0 6.521 * [backup-simplify]: Simplify (+ 0 0) into 0 6.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 6.522 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.523 * [backup-simplify]: Simplify (- 0) into 0 6.523 * [backup-simplify]: Simplify (+ 0 0) into 0 6.525 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 6.526 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 6.528 * [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))) 6.528 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 6.528 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 6.528 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 6.528 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 6.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.528 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.528 * [taylor]: Taking taylor expansion of x in x 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.528 * [backup-simplify]: Simplify (* 1 1) into 1 6.528 * [backup-simplify]: Simplify (/ 1 1) into 1 6.528 * [taylor]: Taking taylor expansion of 1 in x 6.528 * [backup-simplify]: Simplify 1 into 1 6.529 * [backup-simplify]: Simplify (+ 1 0) into 1 6.529 * [backup-simplify]: Simplify (sqrt 1) into 1 6.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.530 * [backup-simplify]: Simplify (+ 0 0) into 0 6.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.530 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 6.530 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 6.530 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.530 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.530 * [taylor]: Taking taylor expansion of x in x 6.530 * [backup-simplify]: Simplify 0 into 0 6.530 * [backup-simplify]: Simplify 1 into 1 6.531 * [backup-simplify]: Simplify (* 1 1) into 1 6.531 * [backup-simplify]: Simplify (/ 1 1) into 1 6.531 * [taylor]: Taking taylor expansion of 1 in x 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [backup-simplify]: Simplify (+ 1 0) into 1 6.531 * [backup-simplify]: Simplify (sqrt 1) into 1 6.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.533 * [backup-simplify]: Simplify (+ 0 0) into 0 6.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.533 * [backup-simplify]: Simplify 1 into 1 6.533 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.534 * [backup-simplify]: Simplify (- 1) into -1 6.535 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.535 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 6.535 * [backup-simplify]: Simplify -1/2 into -1/2 6.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.537 * [backup-simplify]: Simplify (- 0) into 0 6.537 * [backup-simplify]: Simplify (+ 0 0) into 0 6.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.539 * [backup-simplify]: Simplify (- 0) into 0 6.540 * [backup-simplify]: Simplify (+ 0 0) into 0 6.545 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.546 * [backup-simplify]: Simplify -1/8 into -1/8 6.546 * [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)))) 6.546 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 6.546 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 6.546 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 6.546 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 6.546 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.546 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.546 * [taylor]: Taking taylor expansion of x in x 6.546 * [backup-simplify]: Simplify 0 into 0 6.546 * [backup-simplify]: Simplify 1 into 1 6.547 * [backup-simplify]: Simplify (* 1 1) into 1 6.547 * [backup-simplify]: Simplify (/ 1 1) into 1 6.547 * [taylor]: Taking taylor expansion of 1 in x 6.547 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (+ 1 0) into 1 6.548 * [backup-simplify]: Simplify (sqrt 1) into 1 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.550 * [backup-simplify]: Simplify (+ 0 0) into 0 6.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.551 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 6.551 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 6.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.551 * [taylor]: Taking taylor expansion of x in x 6.551 * [backup-simplify]: Simplify 0 into 0 6.551 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify (* 1 1) into 1 6.552 * [backup-simplify]: Simplify (/ 1 1) into 1 6.552 * [taylor]: Taking taylor expansion of 1 in x 6.552 * [backup-simplify]: Simplify 1 into 1 6.552 * [backup-simplify]: Simplify (+ 1 0) into 1 6.553 * [backup-simplify]: Simplify (sqrt 1) into 1 6.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.555 * [backup-simplify]: Simplify (+ 0 0) into 0 6.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.555 * [backup-simplify]: Simplify 1 into 1 6.555 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.558 * [backup-simplify]: Simplify (- 1) into -1 6.558 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.559 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 6.559 * [backup-simplify]: Simplify -1/2 into -1/2 6.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.561 * [backup-simplify]: Simplify (- 0) into 0 6.561 * [backup-simplify]: Simplify (+ 0 0) into 0 6.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.563 * [backup-simplify]: Simplify (- 0) into 0 6.563 * [backup-simplify]: Simplify (+ 0 0) into 0 6.564 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.564 * [backup-simplify]: Simplify -1/8 into -1/8 6.564 * [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) 6.564 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.564 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1))) into (+ x (sqrt (- (pow x 2) 1))) 6.564 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in (x) around 0 6.565 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 6.565 * [taylor]: Taking taylor expansion of x in x 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 6.565 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 6.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.565 * [taylor]: Taking taylor expansion of x in x 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [taylor]: Taking taylor expansion of 1 in x 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify (- 1) into -1 6.565 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.565 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.566 * [backup-simplify]: Simplify (- 0) into 0 6.566 * [backup-simplify]: Simplify (+ 0 0) into 0 6.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.566 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 6.566 * [taylor]: Taking taylor expansion of x in x 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 6.566 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 6.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.566 * [taylor]: Taking taylor expansion of x in x 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [taylor]: Taking taylor expansion of 1 in x 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [backup-simplify]: Simplify (- 1) into -1 6.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.567 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.567 * [backup-simplify]: Simplify (- 0) into 0 6.568 * [backup-simplify]: Simplify (+ 0 0) into 0 6.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.569 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 6.569 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.569 * [backup-simplify]: Simplify (+ 1 0) into 1 6.569 * [backup-simplify]: Simplify 1 into 1 6.570 * [backup-simplify]: Simplify (* 1 1) into 1 6.570 * [backup-simplify]: Simplify (- 0) into 0 6.570 * [backup-simplify]: Simplify (+ 1 0) into 1 6.572 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 6.573 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 6.574 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 6.574 * [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))) 6.575 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 6.575 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 6.575 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 6.575 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 6.575 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 6.575 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.575 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.575 * [taylor]: Taking taylor expansion of x in x 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [backup-simplify]: Simplify (* 1 1) into 1 6.575 * [backup-simplify]: Simplify (/ 1 1) into 1 6.575 * [taylor]: Taking taylor expansion of 1 in x 6.575 * [backup-simplify]: Simplify 1 into 1 6.576 * [backup-simplify]: Simplify (+ 1 0) into 1 6.576 * [backup-simplify]: Simplify (sqrt 1) into 1 6.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.577 * [backup-simplify]: Simplify (+ 0 0) into 0 6.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.577 * [taylor]: Taking taylor expansion of x in x 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (/ 1 1) into 1 6.578 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 6.578 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 6.578 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 6.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.578 * [taylor]: Taking taylor expansion of x in x 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (* 1 1) into 1 6.578 * [backup-simplify]: Simplify (/ 1 1) into 1 6.578 * [taylor]: Taking taylor expansion of 1 in x 6.578 * [backup-simplify]: Simplify 1 into 1 6.578 * [backup-simplify]: Simplify (+ 1 0) into 1 6.579 * [backup-simplify]: Simplify (sqrt 1) into 1 6.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.580 * [backup-simplify]: Simplify (+ 0 0) into 0 6.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.580 * [taylor]: Taking taylor expansion of x in x 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify 1 into 1 6.580 * [backup-simplify]: Simplify (/ 1 1) into 1 6.581 * [backup-simplify]: Simplify (+ 1 1) into 2 6.581 * [backup-simplify]: Simplify 2 into 2 6.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.581 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.583 * [backup-simplify]: Simplify (- 1) into -1 6.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.584 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 6.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.584 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.584 * [backup-simplify]: Simplify -1/2 into -1/2 6.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.586 * [backup-simplify]: Simplify (- 0) into 0 6.586 * [backup-simplify]: Simplify (+ 0 0) into 0 6.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 6.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.588 * [backup-simplify]: Simplify (+ 0 0) into 0 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.589 * [backup-simplify]: Simplify (- 0) into 0 6.589 * [backup-simplify]: Simplify (+ 0 0) into 0 6.590 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.591 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 6.591 * [backup-simplify]: Simplify -1/8 into -1/8 6.591 * [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)))) 6.591 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 6.591 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 6.591 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 6.591 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 6.591 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 6.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.591 * [taylor]: Taking taylor expansion of x in x 6.591 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify 1 into 1 6.592 * [backup-simplify]: Simplify (* 1 1) into 1 6.592 * [backup-simplify]: Simplify (/ 1 1) into 1 6.592 * [taylor]: Taking taylor expansion of 1 in x 6.592 * [backup-simplify]: Simplify 1 into 1 6.592 * [backup-simplify]: Simplify (+ 1 0) into 1 6.592 * [backup-simplify]: Simplify (sqrt 1) into 1 6.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify (+ 0 0) into 0 6.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.594 * [taylor]: Taking taylor expansion of x in x 6.594 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify 1 into 1 6.595 * [backup-simplify]: Simplify (/ 1 1) into 1 6.595 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 6.595 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 6.595 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 6.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.595 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.595 * [taylor]: Taking taylor expansion of x in x 6.595 * [backup-simplify]: Simplify 0 into 0 6.595 * [backup-simplify]: Simplify 1 into 1 6.595 * [backup-simplify]: Simplify (* 1 1) into 1 6.596 * [backup-simplify]: Simplify (/ 1 1) into 1 6.596 * [taylor]: Taking taylor expansion of 1 in x 6.596 * [backup-simplify]: Simplify 1 into 1 6.596 * [backup-simplify]: Simplify (+ 1 0) into 1 6.596 * [backup-simplify]: Simplify (sqrt 1) into 1 6.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.598 * [backup-simplify]: Simplify (+ 0 0) into 0 6.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.599 * [taylor]: Taking taylor expansion of x in x 6.599 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify 1 into 1 6.599 * [backup-simplify]: Simplify (/ 1 1) into 1 6.599 * [backup-simplify]: Simplify (- 1) into -1 6.600 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.600 * [backup-simplify]: Simplify (- 0) into 0 6.601 * [backup-simplify]: Simplify (+ 0 0) into 0 6.601 * [backup-simplify]: Simplify 0 into 0 6.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.602 * [backup-simplify]: Simplify (- 1) into -1 6.602 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.603 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.603 * [backup-simplify]: Simplify (- 0) into 0 6.604 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.604 * [backup-simplify]: Simplify -1/2 into -1/2 6.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.605 * [backup-simplify]: Simplify (- 0) into 0 6.605 * [backup-simplify]: Simplify (+ 0 0) into 0 6.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 6.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.607 * [backup-simplify]: Simplify (- 0) into 0 6.607 * [backup-simplify]: Simplify (+ 0 0) into 0 6.607 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.609 * [backup-simplify]: Simplify (- 0) into 0 6.609 * [backup-simplify]: Simplify (+ 0 0) into 0 6.610 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.610 * [backup-simplify]: Simplify (- 0) into 0 6.611 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 6.611 * [backup-simplify]: Simplify -1/8 into -1/8 6.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.612 * [backup-simplify]: Simplify (- 0) into 0 6.613 * [backup-simplify]: Simplify (+ 0 0) into 0 6.613 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 6.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.614 * [backup-simplify]: Simplify (- 0) into 0 6.614 * [backup-simplify]: Simplify (+ 0 0) into 0 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.616 * [backup-simplify]: Simplify (- 0) into 0 6.616 * [backup-simplify]: Simplify (+ 0 0) into 0 6.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 6.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.618 * [backup-simplify]: Simplify (- 0) into 0 6.619 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 6.619 * [backup-simplify]: Simplify -1/16 into -1/16 6.619 * [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)))) 6.619 * * * [progress]: simplifying candidates 6.619 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 6.619 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 16 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 19 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (- (* x x) 1)))))))> 6.620 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 31 / 38 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (- (* x x) 1)))))))> 6.620 * * * * [progress]: [ 32 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 6.620 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 6.621 * [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)))) 6.621 * * [simplify]: iteration 1: (91 enodes) 6.669 * * [simplify]: iteration 2: (370 enodes) 6.782 * * [simplify]: iteration 3: (669 enodes) 6.978 * * [simplify]: iteration 4: (1252 enodes) 7.679 * * [simplify]: Extracting #0: cost 35 inf + 0 7.680 * * [simplify]: Extracting #1: cost 168 inf + 2 7.683 * * [simplify]: Extracting #2: cost 446 inf + 1070 7.696 * * [simplify]: Extracting #3: cost 390 inf + 32024 7.719 * * [simplify]: Extracting #4: cost 133 inf + 103277 7.747 * * [simplify]: Extracting #5: cost 26 inf + 137728 7.782 * * [simplify]: Extracting #6: cost 8 inf + 143120 7.815 * * [simplify]: Extracting #7: cost 0 inf + 146195 7.868 * [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 (+ x 1)) (sqrt (+ -1 x)) (sqrt (+ x 1)) (sqrt (+ -1 x)) (sqrt (+ x 1)) (sqrt (+ -1 x)) (sqrt (- (* (* x (* x x)) (* x (* x x))) 1)) (sqrt (+ (* (+ (* x x) 1) (* x x)) 1)) (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)))) (+ (* (- (sqrt (+ -1 (* x x))) x) (sqrt (+ -1 (* x x)))) (* x x)) 1 (- x (sqrt (+ -1 (* x x)))) (+ x (sqrt (+ -1 (* x x)))) (real->posit16 (+ x (sqrt (+ -1 (* x x))))) (+ (sqrt -1) (+ (* (/ x (/ (sqrt -1) x)) 1/2) (/ (* (* x x) 1/8) (/ (sqrt -1) (* x x))))) (- x (+ (/ 1/8 (* x (* x x))) (/ 1/2 x))) (+ (/ 1/2 x) (- (/ 1/8 (* x (* x x))) x)) (+ x (+ (sqrt -1) (* (/ x (/ (sqrt -1) x)) 1/2))) (+ (/ -1/8 (* x (* x x))) (+ (* x 2) (/ -1/2 x))) (+ (/ 1/16 (* (* x (* x x)) (* x x))) (+ (/ 1/8 (* x (* x x))) (/ 1/2 x))) 7.874 * * * [progress]: adding candidates to table 8.138 * * [progress]: iteration 2 / 4 8.138 * * * [progress]: picking best candidate 8.142 * * * * [pick]: Picked # 8.142 * * * [progress]: localizing error 8.188 * * * [progress]: generating rewritten candidates 8.188 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 8.200 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 2) 8.218 * * * [progress]: generating series expansions 8.218 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 8.218 * [backup-simplify]: Simplify (/ -1/8 (* x (* x x))) into (/ -1/8 (pow x 3)) 8.218 * [approximate]: Taking taylor expansion of (/ -1/8 (pow x 3)) in (x) around 0 8.218 * [taylor]: Taking taylor expansion of (/ -1/8 (pow x 3)) in x 8.218 * [taylor]: Taking taylor expansion of -1/8 in x 8.218 * [backup-simplify]: Simplify -1/8 into -1/8 8.218 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.218 * [taylor]: Taking taylor expansion of x in x 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify 1 into 1 8.219 * [backup-simplify]: Simplify (* 1 1) into 1 8.219 * [backup-simplify]: Simplify (* 1 1) into 1 8.220 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 8.220 * [taylor]: Taking taylor expansion of (/ -1/8 (pow x 3)) in x 8.220 * [taylor]: Taking taylor expansion of -1/8 in x 8.220 * [backup-simplify]: Simplify -1/8 into -1/8 8.220 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.220 * [taylor]: Taking taylor expansion of x in x 8.220 * [backup-simplify]: Simplify 0 into 0 8.220 * [backup-simplify]: Simplify 1 into 1 8.220 * [backup-simplify]: Simplify (* 1 1) into 1 8.221 * [backup-simplify]: Simplify (* 1 1) into 1 8.221 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 8.221 * [backup-simplify]: Simplify -1/8 into -1/8 8.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 8.223 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.226 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.233 * [backup-simplify]: Simplify 0 into 0 8.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.236 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.240 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify (* -1/8 (pow (/ 1 x) 3)) into (/ -1/8 (pow x 3)) 8.240 * [backup-simplify]: Simplify (/ -1/8 (* (/ 1 x) (* (/ 1 x) (/ 1 x)))) into (* -1/8 (pow x 3)) 8.240 * [approximate]: Taking taylor expansion of (* -1/8 (pow x 3)) in (x) around 0 8.241 * [taylor]: Taking taylor expansion of (* -1/8 (pow x 3)) in x 8.241 * [taylor]: Taking taylor expansion of -1/8 in x 8.241 * [backup-simplify]: Simplify -1/8 into -1/8 8.241 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.241 * [taylor]: Taking taylor expansion of x in x 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.241 * [taylor]: Taking taylor expansion of (* -1/8 (pow x 3)) in x 8.241 * [taylor]: Taking taylor expansion of -1/8 in x 8.241 * [backup-simplify]: Simplify -1/8 into -1/8 8.241 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.241 * [taylor]: Taking taylor expansion of x in x 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.241 * [backup-simplify]: Simplify (* 1 1) into 1 8.242 * [backup-simplify]: Simplify (* 1 1) into 1 8.242 * [backup-simplify]: Simplify (* -1/8 1) into -1/8 8.242 * [backup-simplify]: Simplify -1/8 into -1/8 8.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.244 * [backup-simplify]: Simplify (+ (* -1/8 0) (* 0 1)) into 0 8.244 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.246 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (* 0 1))) into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.250 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.250 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.254 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.259 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.259 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.264 * [backup-simplify]: Simplify (+ (* -1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.264 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify (* -1/8 (pow (/ 1 x) 3)) into (/ -1/8 (pow x 3)) 8.264 * [backup-simplify]: Simplify (/ -1/8 (* (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x))))) into (* 1/8 (pow x 3)) 8.264 * [approximate]: Taking taylor expansion of (* 1/8 (pow x 3)) in (x) around 0 8.264 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 3)) in x 8.264 * [taylor]: Taking taylor expansion of 1/8 in x 8.264 * [backup-simplify]: Simplify 1/8 into 1/8 8.264 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.264 * [taylor]: Taking taylor expansion of x in x 8.264 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify 1 into 1 8.264 * [taylor]: Taking taylor expansion of (* 1/8 (pow x 3)) in x 8.265 * [taylor]: Taking taylor expansion of 1/8 in x 8.265 * [backup-simplify]: Simplify 1/8 into 1/8 8.265 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.265 * [taylor]: Taking taylor expansion of x in x 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 1 into 1 8.265 * [backup-simplify]: Simplify (* 1 1) into 1 8.265 * [backup-simplify]: Simplify (* 1 1) into 1 8.266 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 8.266 * [backup-simplify]: Simplify 1/8 into 1/8 8.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.268 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.271 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 8.271 * [backup-simplify]: Simplify 0 into 0 8.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.278 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.279 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.283 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.283 * [backup-simplify]: Simplify 0 into 0 8.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.287 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.287 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.293 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (- x)) 3)) into (/ -1/8 (pow x 3)) 8.293 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 2) 8.293 * [backup-simplify]: Simplify (* x (* x x)) into (pow x 3) 8.293 * [approximate]: Taking taylor expansion of (pow x 3) in (x) around 0 8.294 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.294 * [taylor]: Taking taylor expansion of x in x 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.294 * [taylor]: Taking taylor expansion of x in x 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (* 1 1) into 1 8.295 * [backup-simplify]: Simplify (* 1 1) into 1 8.295 * [backup-simplify]: Simplify 1 into 1 8.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.298 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.301 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.304 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.307 * [backup-simplify]: Simplify 0 into 0 8.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify (* 1 (pow x 3)) into (pow x 3) 8.311 * [backup-simplify]: Simplify (* (/ 1 x) (* (/ 1 x) (/ 1 x))) into (/ 1 (pow x 3)) 8.311 * [approximate]: Taking taylor expansion of (/ 1 (pow x 3)) in (x) around 0 8.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.311 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.311 * [taylor]: Taking taylor expansion of x in x 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (* 1 1) into 1 8.312 * [backup-simplify]: Simplify (* 1 1) into 1 8.312 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 8.313 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.313 * [taylor]: Taking taylor expansion of x in x 8.313 * [backup-simplify]: Simplify 0 into 0 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (* 1 1) into 1 8.313 * [backup-simplify]: Simplify (* 1 1) into 1 8.314 * [backup-simplify]: Simplify (/ 1 1) into 1 8.314 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.316 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.319 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.326 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.336 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (/ 1 x)) 3)) into (pow x 3) 8.336 * [backup-simplify]: Simplify (* (/ 1 (- x)) (* (/ 1 (- x)) (/ 1 (- x)))) into (/ -1 (pow x 3)) 8.336 * [approximate]: Taking taylor expansion of (/ -1 (pow x 3)) in (x) around 0 8.336 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 8.336 * [taylor]: Taking taylor expansion of -1 in x 8.336 * [backup-simplify]: Simplify -1 into -1 8.336 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.336 * [taylor]: Taking taylor expansion of x in x 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [backup-simplify]: Simplify (* 1 1) into 1 8.337 * [backup-simplify]: Simplify (* 1 1) into 1 8.338 * [backup-simplify]: Simplify (/ -1 1) into -1 8.338 * [taylor]: Taking taylor expansion of (/ -1 (pow x 3)) in x 8.338 * [taylor]: Taking taylor expansion of -1 in x 8.338 * [backup-simplify]: Simplify -1 into -1 8.338 * [taylor]: Taking taylor expansion of (pow x 3) in x 8.338 * [taylor]: Taking taylor expansion of x in x 8.338 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify 1 into 1 8.338 * [backup-simplify]: Simplify (* 1 1) into 1 8.339 * [backup-simplify]: Simplify (* 1 1) into 1 8.339 * [backup-simplify]: Simplify (/ -1 1) into -1 8.339 * [backup-simplify]: Simplify -1 into -1 8.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.344 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.348 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify 0 into 0 8.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.356 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (* -1 (pow (/ 1 (/ 1 (- x))) 3)) into (pow x 3) 8.360 * * * [progress]: simplifying candidates 8.360 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 8.360 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 8.360 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 8.360 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 8.360 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 8.360 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 16 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 8.361 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 24 / 55 ] simplifiying candidate #real (real->posit16 (/ -1/8 (* x (* x x))))) (+ (* x 2) (/ -1/2 x)))))> 8.362 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 32 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 8.362 * * * * [progress]: [ 37 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 46 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 48 / 55 ] simplifiying candidate #real (real->posit16 (* x (* x x))))) (+ (* x 2) (/ -1/2 x)))))> 8.363 * * * * [progress]: [ 49 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 8.363 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 8.364 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 8.364 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 8.364 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 8.364 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 8.365 * [simplify]: Simplifying: (- (log -1/8) (+ (log x) (+ (log x) (log x)))) (- (log -1/8) (+ (log x) (log (* x x)))) (- (log -1/8) (log (* x (* x x)))) (log (/ -1/8 (* x (* x x)))) (exp (/ -1/8 (* x (* x x)))) (/ (* (* -1/8 -1/8) -1/8) (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))) (/ (* (* -1/8 -1/8) -1/8) (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))) (/ (* (* -1/8 -1/8) -1/8) (* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))) (* (cbrt (/ -1/8 (* x (* x x)))) (cbrt (/ -1/8 (* x (* x x))))) (cbrt (/ -1/8 (* x (* x x)))) (* (* (/ -1/8 (* x (* x x))) (/ -1/8 (* x (* x x)))) (/ -1/8 (* x (* x x)))) (sqrt (/ -1/8 (* x (* x x)))) (sqrt (/ -1/8 (* x (* x x)))) (- -1/8) (- (* x (* x x))) (/ (* (cbrt -1/8) (cbrt -1/8)) x) (/ (cbrt -1/8) (* x x)) (/ (sqrt -1/8) x) (/ (sqrt -1/8) (* x x)) (/ 1 x) (/ -1/8 (* x x)) (/ 1 (* x (* x x))) (/ (* x (* x x)) -1/8) (/ -1/8 x) (/ (* x (* x x)) (cbrt -1/8)) (/ (* x (* x x)) (sqrt -1/8)) (/ (* x (* x x)) -1/8) (real->posit16 (/ -1/8 (* x (* x x)))) (+ 1 (+ 1 1)) (+ 1 2) (+ 1 (+ 1 1)) (+ 1 (* 2 1)) (* x (* x x)) (* x (* x x)) (+ (log x) (+ (log x) (log x))) (+ (log x) (log (* x x))) (log (* x (* x x))) (exp (* x (* x x))) (* (* (* x x) x) (* (* (* x x) x) (* (* x x) x))) (* (* (* x x) x) (* (* (* x x) (* x x)) (* x x))) (* (cbrt (* x (* x x))) (cbrt (* x (* x x)))) (cbrt (* x (* x x))) (* (* (* x (* x x)) (* x (* x x))) (* x (* x x))) (sqrt (* x (* x x))) (sqrt (* x (* x x))) (* (sqrt x) x) (* (sqrt x) x) (* x x) (* (cbrt x) (* x x)) (* (sqrt x) (* x x)) (* x (* x x)) (real->posit16 (* x (* x x))) (/ -1/8 (pow x 3)) (/ -1/8 (pow x 3)) (/ -1/8 (pow x 3)) (pow x 3) (pow x 3) (pow x 3) 8.366 * * [simplify]: iteration 1: (72 enodes) 8.409 * * [simplify]: iteration 2: (269 enodes) 8.474 * * [simplify]: iteration 3: (548 enodes) 8.777 * * [simplify]: iteration 4: (1552 enodes) 11.079 * * [simplify]: Extracting #0: cost 33 inf + 0 11.080 * * [simplify]: Extracting #1: cost 392 inf + 44 11.088 * * [simplify]: Extracting #2: cost 912 inf + 21923 11.114 * * [simplify]: Extracting #3: cost 502 inf + 140810 11.178 * * [simplify]: Extracting #4: cost 96 inf + 316546 11.259 * * [simplify]: Extracting #5: cost 0 inf + 363836 11.342 * * [simplify]: Extracting #6: cost 0 inf + 363596 11.449 * [simplify]: Simplified to: (log (/ -1/8 (* (* x x) x))) (log (/ -1/8 (* (* x x) x))) (log (/ -1/8 (* (* x x) x))) (log (/ -1/8 (* (* x x) x))) (exp (/ -1/8 (* (* x x) x))) (/ (/ (/ -1/512 (* (* x x) x)) (* (* x x) x)) (* (* x x) x)) (/ (/ (/ -1/512 (* (* x x) x)) (* (* x x) x)) (* (* x x) x)) (/ (/ (/ -1/512 (* (* x x) x)) (* (* x x) x)) (* (* x x) x)) (* (cbrt (/ -1/8 (* (* x x) x))) (cbrt (/ -1/8 (* (* x x) x)))) (cbrt (/ -1/8 (* (* x x) x))) (/ (/ (/ -1/512 (* (* x x) x)) (* (* x x) x)) (* (* x x) x)) (sqrt (/ -1/8 (* (* x x) x))) (sqrt (/ -1/8 (* (* x x) x))) 1/8 (* (- x) (* x x)) (/ (* (cbrt -1/8) (cbrt -1/8)) x) (/ (cbrt -1/8) (* x x)) (/ (sqrt -1/8) x) (/ (sqrt -1/8) (* x x)) (/ 1 x) (/ -1/8 (* x x)) (/ 1 (* (* x x) x)) (/ x (/ -1/8 (* x x))) (/ -1/8 x) (/ x (/ (cbrt -1/8) (* x x))) (/ (* (* x x) x) (sqrt -1/8)) (/ x (/ -1/8 (* x x))) (real->posit16 (/ -1/8 (* (* x x) x))) 3 3 3 3 (* (* x x) x) (* (* x x) x) (* (log x) 3) (* (log x) 3) (* (log x) 3) (exp (* (* x x) x)) (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (* x x) x (* x (* (* (* x x) (* x x)) (* (* x x) (* x x)))) (sqrt (* (* x x) x)) (sqrt (* (* x x) x)) (* (sqrt x) x) (* (sqrt x) x) (* x x) (* (* x x) (cbrt x)) (* (* x x) (sqrt x)) (* (* x x) x) (real->posit16 (* (* x x) x)) (/ -1/8 (* (* x x) x)) (/ -1/8 (* (* x x) x)) (/ -1/8 (* (* x x) x)) (* (* x x) x) (* (* x x) x) (* (* x x) x) 11.452 * * * [progress]: adding candidates to table 11.972 * [progress]: [Phase 3 of 3] Extracting. 11.977 * [simplify]: Simplifying: (log (+ (/ -1/8 (* x (* x x))) (+ (* x 2) (/ -1/2 x)))) 11.977 * * [simplify]: iteration 1: (12 enodes) 11.978 * * [simplify]: iteration 2: (16 enodes) 11.979 * * [simplify]: Extracting #0: cost 1 inf + 0 11.979 * * [simplify]: Extracting #1: cost 2 inf + 0 11.980 * * [simplify]: Extracting #2: cost 4 inf + 0 11.980 * * [simplify]: Extracting #3: cost 8 inf + 0 11.980 * * [simplify]: Extracting #4: cost 11 inf + 1 11.980 * * [simplify]: Extracting #5: cost 0 inf + 1093 11.980 * [simplify]: Simplified to: (log (+ (/ -1/8 (* (* x x) x)) (+ (/ -1/2 x) (* 2 x)))) 16.739 * [regime-testing]: Baseline error score: 0.2746120363987723 16.741 * [regime-testing]: Oracle error score: 0.2746120363987723 16.741 * [regime-testing]: End program error score: 0.2746120363987723