0.686 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.312 * * * [progress]: [2/2] Setting up program. 0.315 * [progress]: [Phase 2 of 3] Improving. 0.317 * [simplify]: Simplifying: (- (* (+ x 1.0) (+ x 1.0)) 1.0) 0.318 * [simplify]: Sending expressions to egg_math: (- (* (+ h1 h0) (+ h1 h0)) h0) 0.320 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.322 * * [simplify]: iteration 1 : 37 enodes (cost 4 ) 0.323 * * [simplify]: iteration 2 : 103 enodes (cost 4 ) 0.325 * * [simplify]: iteration 3 : 220 enodes (cost 4 ) 0.328 * * [simplify]: iteration 4 : 387 enodes (cost 4 ) 0.332 * * [simplify]: iteration 5 : 527 enodes (cost 4 ) 0.338 * * [simplify]: iteration 6 : 803 enodes (cost 4 ) 0.348 * * [simplify]: iteration 7 : 1602 enodes (cost 4 ) 0.366 * * [simplify]: iteration 8 : 2861 enodes (cost 4 ) 0.388 * * [simplify]: iteration 9 : 4334 enodes (cost 4 ) 0.411 * * [simplify]: iteration 10 : 4807 enodes (cost 4 ) 0.435 * * [simplify]: iteration 11 : 5001 enodes (cost 4 ) 0.437 * * [progress]: iteration 1 / 4 0.437 * * * [progress]: picking best candidate 0.439 * * * * [pick]: Picked # 0.439 * * * [progress]: localizing error 0.445 * * * [progress]: generating rewritten candidates 0.445 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.485 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.520 * * * [progress]: generating series expansions 0.520 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.525 * [backup-simplify]: Simplify (- (* (+ x 1.0) (+ x 1.0)) 1.0) into (+ (pow x 2) (* 2.0 x)) 0.525 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.526 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.526 * [taylor]: Taking taylor expansion of 2.0 in x 0.526 * [backup-simplify]: Simplify 2.0 into 2.0 0.526 * [taylor]: Taking taylor expansion of x in x 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.527 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.527 * [taylor]: Taking taylor expansion of 2.0 in x 0.527 * [backup-simplify]: Simplify 2.0 into 2.0 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.529 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.530 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.530 * [backup-simplify]: Simplify 2.0 into 2.0 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.531 * [backup-simplify]: Simplify (+ 1 0) into 1 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.537 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.542 * [backup-simplify]: Simplify (- (* (+ (/ 1 x) 1.0) (+ (/ 1 x) 1.0)) 1.0) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.542 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (* 1 1) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of 2.0 in x 0.542 * [backup-simplify]: Simplify 2.0 into 2.0 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.543 * [taylor]: Taking taylor expansion of 2.0 in x 0.543 * [backup-simplify]: Simplify 2.0 into 2.0 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ 1 0) into 1 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.545 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.545 * [backup-simplify]: Simplify 2.0 into 2.0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (+ 0 0) into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 0.565 * [backup-simplify]: Simplify (- (* (+ (/ 1 (- x)) 1.0) (+ (/ 1 (- x)) 1.0)) 1.0) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.565 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.566 * [taylor]: Taking taylor expansion of 2.0 in x 0.566 * [backup-simplify]: Simplify 2.0 into 2.0 0.566 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* 1 1) into 1 0.566 * [backup-simplify]: Simplify (/ 1 1) into 1 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.567 * [taylor]: Taking taylor expansion of 2.0 in x 0.567 * [backup-simplify]: Simplify 2.0 into 2.0 0.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (/ 1 1) into 1 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.568 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.569 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.569 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.582 * [backup-simplify]: Simplify (- 0) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 0.586 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.586 * [backup-simplify]: Simplify (* (+ x 1.0) (+ x 1.0)) into (pow (+ x 1.0) 2) 0.586 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 2) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.586 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.587 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.587 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.587 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.587 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.587 * [backup-simplify]: Simplify 1.0 into 1.0 0.588 * [backup-simplify]: Simplify (+ 1 0) into 1 0.589 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 0.589 * [backup-simplify]: Simplify 2.0 into 2.0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.589 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (+ (* 2.0 x) 1.0)) into (+ (pow x 2) (+ (* 2.0 x) 1.0)) 0.590 * [backup-simplify]: Simplify (* (+ (/ 1 x) 1.0) (+ (/ 1 x) 1.0)) into (pow (+ 1.0 (/ 1 x)) 2) 0.590 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 0.590 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [backup-simplify]: Simplify 1.0 into 1.0 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [backup-simplify]: Simplify (+ 0 1) into 1 0.591 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 0.591 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [backup-simplify]: Simplify 1.0 into 1.0 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [backup-simplify]: Simplify (+ 0 1) into 1 0.591 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.593 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 0.593 * [backup-simplify]: Simplify 2.0 into 2.0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 0.595 * [backup-simplify]: Simplify 1.0 into 1.0 0.596 * [backup-simplify]: Simplify (+ 1.0 (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2)))) into (+ (pow x 2) (+ (* 2.0 x) 1.0)) 0.596 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) 1.0) (+ (/ 1 (- x)) 1.0)) into (pow (- 1.0 (/ 1 x)) 2) 0.596 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in (x) around 0 0.596 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [backup-simplify]: Simplify 1.0 into 1.0 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [backup-simplify]: Simplify (/ 1 1) into 1 0.596 * [backup-simplify]: Simplify (- 1) into -1 0.597 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.597 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of 1.0 in x 0.597 * [backup-simplify]: Simplify 1.0 into 1.0 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [backup-simplify]: Simplify (- 1) into -1 0.597 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.598 * [backup-simplify]: Simplify (* -1 -1) into 1 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- 0) into 0 0.599 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.599 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 0.600 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 0.602 * [backup-simplify]: Simplify 1.0 into 1.0 0.603 * [backup-simplify]: Simplify (+ 1.0 (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (pow x 2) (+ (* 2.0 x) 1.0)) 0.603 * * * [progress]: simplifying candidates 0.604 * [simplify]: Simplifying: (/ (exp (* (+ x 1.0) (+ x 1.0))) (exp 1.0)) (log (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (exp (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (* (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0))) (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (* (* (- (* (+ x 1.0) (+ x 1.0)) 1.0) (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (- (pow (* (+ x 1.0) (+ x 1.0)) 3) (pow 1.0 3)) (+ (* (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0))) (+ (* 1.0 1.0) (* (* (+ x 1.0) (+ x 1.0)) 1.0))) (- 1.0) (- (* (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0))) (* 1.0 1.0)) (+ (* (+ x 1.0) (+ x 1.0)) 1.0) (+ (+ x 1.0) (sqrt 1.0)) (- (+ x 1.0) (sqrt 1.0)) (- (* (+ x 1.0) 1.0) 1.0) (- (* 1.0 (+ x 1.0)) 1.0) (- 1.0) (+ 1 1) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (+ x 1.0)) (log (+ x 1.0))) (log (* (+ x 1.0) (+ x 1.0))) (exp (* (+ x 1.0) (+ x 1.0))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (* (+ x 1.0) (+ x 1.0))) (cbrt (* (+ x 1.0) (+ x 1.0)))) (cbrt (* (+ x 1.0) (+ x 1.0))) (* (* (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0))) (* (+ x 1.0) (+ x 1.0))) (sqrt (* (+ x 1.0) (+ x 1.0))) (sqrt (* (+ x 1.0) (+ x 1.0))) (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- x 1.0)) (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (- x 1.0)) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1 1) (* (+ x 1.0) (+ x 1.0)) (* 1 1) (* (+ x 1.0) (+ x 1.0)) (* 1 1) (* (+ x 1.0) (+ x 1.0)) (* 1 1) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 2 1) (* (+ x 1.0) x) (* (+ x 1.0) 1.0) (* x (+ x 1.0)) (* 1.0 (+ x 1.0)) (* (+ x 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (+ x 1.0) (sqrt (+ x 1.0))) (* (+ x 1.0) 1) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) (+ x 1.0)) (* (sqrt (+ x 1.0)) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3))) (* (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* (+ (pow x 3) (pow 1.0 3)) (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) 0.604 * [simplify]: Sending expressions to egg_math: (/ (exp (* (+ h1 h0) (+ h1 h0))) (exp h0)) (log (- (* (+ h1 h0) (+ h1 h0)) h0)) (exp (- (* (+ h1 h0) (+ h1 h0)) h0)) (* (cbrt (- (* (+ h1 h0) (+ h1 h0)) h0)) (cbrt (- (* (+ h1 h0) (+ h1 h0)) h0))) (cbrt (- (* (+ h1 h0) (+ h1 h0)) h0)) (* (* (- (* (+ h1 h0) (+ h1 h0)) h0) (- (* (+ h1 h0) (+ h1 h0)) h0)) (- (* (+ h1 h0) (+ h1 h0)) h0)) (sqrt (- (* (+ h1 h0) (+ h1 h0)) h0)) (sqrt (- (* (+ h1 h0) (+ h1 h0)) h0)) (- (pow (* (+ h1 h0) (+ h1 h0)) 3) (pow h0 3)) (+ (* (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0))) (+ (* h0 h0) (* (* (+ h1 h0) (+ h1 h0)) h0))) (- h0) (- (* (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0))) (* h0 h0)) (+ (* (+ h1 h0) (+ h1 h0)) h0) (+ (+ h1 h0) (sqrt h0)) (- (+ h1 h0) (sqrt h0)) (- (* (+ h1 h0) h0) h0) (- (* h0 (+ h1 h0)) h0) (- h0) (+ 1 1) (* (+ h1 h0) (+ h1 h0)) (+ 1 1) (+ (log (+ h1 h0)) (log (+ h1 h0))) (log (* (+ h1 h0) (+ h1 h0))) (exp (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (+ h1 h0) (+ h1 h0))) (cbrt (* (+ h1 h0) (+ h1 h0)))) (cbrt (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0))) (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)) (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 2 1) (* (+ h1 h0) h1) (* (+ h1 h0) h0) (* h1 (+ h1 h0)) (* h0 (+ h1 h0)) (* (+ h1 h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (+ h1 h0) (sqrt (+ h1 h0))) (* (+ h1 h0) 1) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) (+ h1 h0)) (* (sqrt (+ h1 h0)) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ (pow h1 3) (pow h0 3))) (* (+ h1 h0) (- (* h1 h1) (* h0 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ h1 h0)) (+ (pow h1 2) (* h2 h1)) (+ (pow h1 2) (* h2 h1)) (+ (pow h1 2) (* h2 h1)) (+ (pow h1 2) (+ (* h2 h1) h0)) (+ (pow h1 2) (+ (* h2 h1) h0)) (+ (pow h1 2) (+ (* h2 h1) h0)) 0.607 * * [simplify]: iteration 0 : 234 enodes (cost 303 ) 0.612 * * [simplify]: iteration 1 : 999 enodes (cost 270 ) 0.637 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.638 * * * [progress]: adding candidates to table 0.716 * * [progress]: iteration 2 / 4 0.716 * * * [progress]: picking best candidate 0.716 * * * * [pick]: Picked # 0.717 * * * [progress]: localizing error 0.719 * * * [progress]: generating rewritten candidates 0.719 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.738 * * * [progress]: generating series expansions 0.738 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.739 * [backup-simplify]: Simplify (* x (+ 2.0 x)) into (* (+ x 2.0) x) 0.739 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.739 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.739 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of 2.0 in x 0.739 * [backup-simplify]: Simplify 2.0 into 2.0 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.739 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [taylor]: Taking taylor expansion of 2.0 in x 0.739 * [backup-simplify]: Simplify 2.0 into 2.0 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.739 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.740 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (+ 1 0) into 1 0.741 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 1 0)) into 2.0 0.741 * [backup-simplify]: Simplify 2.0 into 2.0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 1) (* 0 0))) into 1 0.742 * [backup-simplify]: Simplify 1 into 1 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.742 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.746 * [backup-simplify]: Simplify 0 into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.749 * [backup-simplify]: Simplify (* (/ 1 x) (+ 2.0 (/ 1 x))) into (/ (+ (/ 1 x) 2.0) x) 0.749 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.749 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.749 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [taylor]: Taking taylor expansion of 2.0 in x 0.749 * [backup-simplify]: Simplify 2.0 into 2.0 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (+ 1 0) into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (/ 1 1) into 1 0.750 * [taylor]: Taking taylor expansion of 2.0 in x 0.750 * [backup-simplify]: Simplify 2.0 into 2.0 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (+ 1 0) into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.753 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1 (/ 0 1)))) into 2.0 0.753 * [backup-simplify]: Simplify 2.0 into 2.0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify 0 into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.759 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 0.761 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ 2.0 (/ 1 (- x)))) into (* -1 (/ (- 2.0 (/ 1 x)) x)) 0.761 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.761 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.761 * [taylor]: Taking taylor expansion of -1 in x 0.761 * [backup-simplify]: Simplify -1 into -1 0.761 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.762 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.762 * [taylor]: Taking taylor expansion of 2.0 in x 0.762 * [backup-simplify]: Simplify 2.0 into 2.0 0.762 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (/ 1 1) into 1 0.762 * [taylor]: Taking taylor expansion of x in x 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (- 1) into -1 0.762 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.763 * [backup-simplify]: Simplify (/ -1 1) into -1 0.763 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.763 * [backup-simplify]: Simplify -1 into -1 0.763 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.763 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.763 * [taylor]: Taking taylor expansion of 2.0 in x 0.763 * [backup-simplify]: Simplify 2.0 into 2.0 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (/ 1 1) into 1 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (- 1) into -1 0.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.764 * [backup-simplify]: Simplify (/ -1 1) into -1 0.764 * [backup-simplify]: Simplify (* -1 -1) into 1 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0 0.766 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* -1 (/ 0 1)))) into 2.0 0.767 * [backup-simplify]: Simplify (+ (* -1 2.0) (* 0 -1)) into (- 2.0) 0.767 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify (- 0) into 0 0.768 * [backup-simplify]: Simplify (+ 0 0) into 0 0.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 2.0) (* 0 -1))) into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (- 0) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (- 0) into 0 0.772 * [backup-simplify]: Simplify (+ 0 0) into 0 0.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.776 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))) into 0 0.776 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (- 0) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1))))))) into 0 0.779 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.780 * [backup-simplify]: Simplify (- 0) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.782 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 2.0) (* 0 -1)))))))) into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 0.782 * * * [progress]: simplifying candidates 0.783 * [simplify]: Simplifying: (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) 0.783 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 h0)) (+ (log h0) (log (+ h1 h0))) (log (* h0 (+ h1 h0))) (exp (* h0 (+ h1 h0))) (* (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h0 (+ h1 h0))) (cbrt (* h0 (+ h1 h0)))) (cbrt (* h0 (+ h1 h0))) (* (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 h0) (* h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h0 (sqrt (+ h1 h0))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h1 h0)) (* (sqrt h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* h0 (+ (pow h1 3) (pow h0 3))) (* h0 (- (* h1 h1) (* h0 h0))) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) 0.785 * * [simplify]: iteration 0 : 123 enodes (cost 85 ) 0.788 * * [simplify]: iteration 1 : 594 enodes (cost 76 ) 0.800 * * [simplify]: iteration 2 : 2937 enodes (cost 76 ) 0.856 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.857 * * * [progress]: adding candidates to table 0.889 * * [progress]: iteration 3 / 4 0.889 * * * [progress]: picking best candidate 0.891 * * * * [pick]: Picked # 0.891 * * * [progress]: localizing error 0.895 * * * [progress]: generating rewritten candidates 0.895 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.906 * * * [progress]: generating series expansions 0.906 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.906 * [backup-simplify]: Simplify (+ (* x 2.0) (pow x 2)) into (+ (pow x 2) (* 2.0 x)) 0.906 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.906 * [taylor]: Taking taylor expansion of 2.0 in x 0.906 * [backup-simplify]: Simplify 2.0 into 2.0 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.906 * [taylor]: Taking taylor expansion of 2.0 in x 0.906 * [backup-simplify]: Simplify 2.0 into 2.0 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.908 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.908 * [backup-simplify]: Simplify 2.0 into 2.0 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.909 * [backup-simplify]: Simplify (+ 1 0) into 1 0.909 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.910 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.910 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.913 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 0.922 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) (* 2.0 x)) into (+ (pow x 2) (* 2.0 x)) 0.923 * [backup-simplify]: Simplify (+ (* (/ 1 x) 2.0) (pow (/ 1 x) 2)) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.923 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (* 1 1) into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.923 * [taylor]: Taking taylor expansion of 2.0 in x 0.923 * [backup-simplify]: Simplify 2.0 into 2.0 0.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (* 1 1) into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of 2.0 in x 0.924 * [backup-simplify]: Simplify 2.0 into 2.0 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (/ 1 1) into 1 0.925 * [backup-simplify]: Simplify (+ 1 0) into 1 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.926 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.926 * [backup-simplify]: Simplify 2.0 into 2.0 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.936 * [backup-simplify]: Simplify (+ 0 0) into 0 0.936 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.939 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2))) into (+ (pow x 2) (* 2.0 x)) 0.942 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) 2.0) (pow (/ 1 (- x)) 2)) into (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) 0.942 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.942 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.942 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (* 1 1) into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.943 * [taylor]: Taking taylor expansion of 2.0 in x 0.943 * [backup-simplify]: Simplify 2.0 into 2.0 0.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.943 * [taylor]: Taking taylor expansion of x in x 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (* 1 1) into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.943 * [taylor]: Taking taylor expansion of 2.0 in x 0.944 * [backup-simplify]: Simplify 2.0 into 2.0 0.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.944 * [taylor]: Taking taylor expansion of x in x 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [backup-simplify]: Simplify (+ 1 0) into 1 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.945 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.946 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0) 0.946 * [backup-simplify]: Simplify (- 2.0) into (- 2.0) 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.948 * [backup-simplify]: Simplify (- 0) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.951 * [backup-simplify]: Simplify (- 0) into 0 0.951 * [backup-simplify]: Simplify (+ 0 0) into 0 0.951 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (- 0) into 0 0.954 * [backup-simplify]: Simplify (+ 0 0) into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.956 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 0.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.963 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.963 * [backup-simplify]: Simplify (- 0) into 0 0.963 * [backup-simplify]: Simplify (+ 0 0) into 0 0.963 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (+ (* (- 2.0) (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (+ (pow x 2) (* 2.0 x)) 0.964 * * * [progress]: simplifying candidates 0.964 * [simplify]: Simplifying: (* (exp (* x 2.0)) (exp (pow x 2))) (log (+ (* x 2.0) (pow x 2))) (exp (+ (* x 2.0) (pow x 2))) (* (cbrt (+ (* x 2.0) (pow x 2))) (cbrt (+ (* x 2.0) (pow x 2)))) (cbrt (+ (* x 2.0) (pow x 2))) (* (* (+ (* x 2.0) (pow x 2)) (+ (* x 2.0) (pow x 2))) (+ (* x 2.0) (pow x 2))) (sqrt (+ (* x 2.0) (pow x 2))) (sqrt (+ (* x 2.0) (pow x 2))) (+ (pow (* x 2.0) 3) (pow (pow x 2) 3)) (+ (* (* x 2.0) (* x 2.0)) (- (* (pow x 2) (pow x 2)) (* (* x 2.0) (pow x 2)))) (- (* (* x 2.0) (* x 2.0)) (* (pow x 2) (pow x 2))) (- (* x 2.0) (pow x 2)) (+ 2.0 x) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) 0.964 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 h1)) (exp (pow h0 2))) (log (+ (* h0 h1) (pow h0 2))) (exp (+ (* h0 h1) (pow h0 2))) (* (cbrt (+ (* h0 h1) (pow h0 2))) (cbrt (+ (* h0 h1) (pow h0 2)))) (cbrt (+ (* h0 h1) (pow h0 2))) (* (* (+ (* h0 h1) (pow h0 2)) (+ (* h0 h1) (pow h0 2))) (+ (* h0 h1) (pow h0 2))) (sqrt (+ (* h0 h1) (pow h0 2))) (sqrt (+ (* h0 h1) (pow h0 2))) (+ (pow (* h0 h1) 3) (pow (pow h0 2) 3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (pow h0 2) (pow h0 2)) (* (* h0 h1) (pow h0 2)))) (- (* (* h0 h1) (* h0 h1)) (* (pow h0 2) (pow h0 2))) (- (* h0 h1) (pow h0 2)) (+ h1 h0) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) 0.966 * * [simplify]: iteration 0 : 89 enodes (cost 77 ) 0.969 * * [simplify]: iteration 1 : 335 enodes (cost 63 ) 0.975 * * [simplify]: iteration 2 : 1146 enodes (cost 59 ) 1.007 * * [simplify]: iteration 3 : 5001 enodes (cost 59 ) 1.008 * * * [progress]: adding candidates to table 1.030 * [progress]: [Phase 3 of 3] Extracting. 1.030 * * [regime]: Finding splitpoints for: (# #) 1.031 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.031 * * * * [regimes]: Trying to branch on x from (# #) 1.045 * * * [regime]: Found split indices: #