13.702 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (- (* a a) (* b b)) 0.022 * * [simplify]: iteration 0: 5 enodes 0.023 * * [simplify]: iteration 1: 11 enodes 0.024 * * [simplify]: iteration 2: 18 enodes 0.027 * * [simplify]: iteration 3: 35 enodes 0.033 * * [simplify]: iteration 4: 67 enodes 0.050 * * [simplify]: iteration 5: 160 enodes 0.099 * * [simplify]: iteration 6: 366 enodes 0.260 * * [simplify]: iteration 7: 901 enodes 1.917 * * [simplify]: iteration 8: 3866 enodes 3.509 * * [simplify]: iteration complete: 5000 enodes 3.509 * * [simplify]: Extracting #0: cost 1 inf + 0 3.511 * * [simplify]: Extracting #1: cost 251 inf + 0 3.518 * * [simplify]: Extracting #2: cost 671 inf + 485 3.527 * * [simplify]: Extracting #3: cost 153 inf + 5304 3.535 * * [simplify]: Extracting #4: cost 0 inf + 6977 3.543 * [simplify]: Simplified to: (- (* a a) (* b b)) 3.544 * * [progress]: iteration 1 / 4 3.544 * * * [progress]: picking best candidate 3.549 * * * * [pick]: Picked # 3.549 * * * [progress]: localizing error 3.559 * * * [progress]: generating rewritten candidates 3.559 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 3.566 * * * [progress]: generating series expansions 3.566 * * * * [progress]: [ 1 / 1 ] generating series at (2) 3.566 * [backup-simplify]: Simplify (- (* a a) (* b b)) into (- (pow a 2) (pow b 2)) 3.566 * [approximate]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in (a b) around 0 3.566 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in b 3.566 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.566 * [taylor]: Taking taylor expansion of a in b 3.566 * [backup-simplify]: Simplify a into a 3.566 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.566 * [taylor]: Taking taylor expansion of b in b 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 3.566 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.566 * [taylor]: Taking taylor expansion of a in a 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.566 * [taylor]: Taking taylor expansion of b in a 3.567 * [backup-simplify]: Simplify b into b 3.567 * [taylor]: Taking taylor expansion of (- (pow a 2) (pow b 2)) in a 3.567 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.567 * [taylor]: Taking taylor expansion of a in a 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.567 * [taylor]: Taking taylor expansion of b in a 3.567 * [backup-simplify]: Simplify b into b 3.567 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.567 * [backup-simplify]: Simplify (- (pow b 2)) into (- (pow b 2)) 3.567 * [backup-simplify]: Simplify (+ 0 (- (pow b 2))) into (- (pow b 2)) 3.567 * [taylor]: Taking taylor expansion of (- (pow b 2)) in b 3.567 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.567 * [taylor]: Taking taylor expansion of b in b 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 3.568 * [backup-simplify]: Simplify (- 0) into 0 3.568 * [backup-simplify]: Simplify (+ 0 0) into 0 3.568 * [taylor]: Taking taylor expansion of 0 in b 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify (* 1 1) into 1 3.569 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 3.569 * [backup-simplify]: Simplify (- 0) into 0 3.569 * [backup-simplify]: Simplify (+ 1 0) into 1 3.569 * [taylor]: Taking taylor expansion of 1 in b 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify 0 into 0 3.569 * [backup-simplify]: Simplify (* 1 1) into 1 3.570 * [backup-simplify]: Simplify (- 1) into -1 3.570 * [backup-simplify]: Simplify -1 into -1 3.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.571 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 3.571 * [backup-simplify]: Simplify (- 0) into 0 3.571 * [backup-simplify]: Simplify (+ 0 0) into 0 3.571 * [taylor]: Taking taylor expansion of 0 in b 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.571 * [backup-simplify]: Simplify 0 into 0 3.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.572 * [backup-simplify]: Simplify (- 0) into 0 3.572 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.573 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 3.574 * [backup-simplify]: Simplify (- 0) into 0 3.574 * [backup-simplify]: Simplify (+ 0 0) into 0 3.574 * [taylor]: Taking taylor expansion of 0 in b 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify (+ (* -1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2))) into (- (pow a 2) (pow b 2)) 3.574 * [backup-simplify]: Simplify (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) into (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3.574 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 3.574 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 3.574 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.574 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.574 * [taylor]: Taking taylor expansion of a in b 3.574 * [backup-simplify]: Simplify a into a 3.574 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.575 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.575 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.575 * [taylor]: Taking taylor expansion of b in b 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (* 1 1) into 1 3.575 * [backup-simplify]: Simplify (/ 1 1) into 1 3.575 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 3.575 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.575 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.575 * [taylor]: Taking taylor expansion of a in a 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (* 1 1) into 1 3.576 * [backup-simplify]: Simplify (/ 1 1) into 1 3.576 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.576 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.576 * [taylor]: Taking taylor expansion of b in a 3.576 * [backup-simplify]: Simplify b into b 3.576 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.576 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.576 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 3.576 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.576 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.576 * [taylor]: Taking taylor expansion of a in a 3.576 * [backup-simplify]: Simplify 0 into 0 3.576 * [backup-simplify]: Simplify 1 into 1 3.576 * [backup-simplify]: Simplify (* 1 1) into 1 3.576 * [backup-simplify]: Simplify (/ 1 1) into 1 3.576 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.576 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.576 * [taylor]: Taking taylor expansion of b in a 3.577 * [backup-simplify]: Simplify b into b 3.577 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.577 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.577 * [backup-simplify]: Simplify (+ 1 0) into 1 3.577 * [taylor]: Taking taylor expansion of 1 in b 3.577 * [backup-simplify]: Simplify 1 into 1 3.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (+ 0 0) into 0 3.578 * [taylor]: Taking taylor expansion of 0 in b 3.578 * [backup-simplify]: Simplify 0 into 0 3.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (- (/ 1 (pow b 2))) into (- (/ 1 (pow b 2))) 3.580 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow b 2)))) into (- (/ 1 (pow b 2))) 3.580 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 3.580 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.580 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.580 * [taylor]: Taking taylor expansion of b in b 3.580 * [backup-simplify]: Simplify 0 into 0 3.580 * [backup-simplify]: Simplify 1 into 1 3.580 * [backup-simplify]: Simplify (* 1 1) into 1 3.580 * [backup-simplify]: Simplify (/ 1 1) into 1 3.581 * [backup-simplify]: Simplify (- 1) into -1 3.581 * [backup-simplify]: Simplify -1 into -1 3.581 * [backup-simplify]: Simplify 1 into 1 3.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.583 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 3.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 3.584 * [backup-simplify]: Simplify (- 0) into 0 3.584 * [backup-simplify]: Simplify (+ 0 0) into 0 3.584 * [taylor]: Taking taylor expansion of 0 in b 3.584 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (- 0) into 0 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.589 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 3.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 3.590 * [backup-simplify]: Simplify (- 0) into 0 3.591 * [backup-simplify]: Simplify (+ 0 0) into 0 3.591 * [taylor]: Taking taylor expansion of 0 in b 3.591 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.593 * [backup-simplify]: Simplify (- 0) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (* -1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (- (pow a 2) (pow b 2)) 3.594 * [backup-simplify]: Simplify (- (* (/ 1 (- a)) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) into (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) 3.594 * [approximate]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in (a b) around 0 3.594 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in b 3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.594 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.594 * [taylor]: Taking taylor expansion of a in b 3.594 * [backup-simplify]: Simplify a into a 3.594 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.594 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.594 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.594 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.594 * [taylor]: Taking taylor expansion of b in b 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 1 into 1 3.595 * [backup-simplify]: Simplify (* 1 1) into 1 3.595 * [backup-simplify]: Simplify (/ 1 1) into 1 3.595 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 3.595 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.595 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.596 * [taylor]: Taking taylor expansion of a in a 3.596 * [backup-simplify]: Simplify 0 into 0 3.596 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (* 1 1) into 1 3.596 * [backup-simplify]: Simplify (/ 1 1) into 1 3.596 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.596 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.596 * [taylor]: Taking taylor expansion of b in a 3.597 * [backup-simplify]: Simplify b into b 3.597 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.597 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.597 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2)) (/ 1 (pow b 2))) in a 3.597 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.597 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.597 * [taylor]: Taking taylor expansion of a in a 3.597 * [backup-simplify]: Simplify 0 into 0 3.597 * [backup-simplify]: Simplify 1 into 1 3.597 * [backup-simplify]: Simplify (* 1 1) into 1 3.598 * [backup-simplify]: Simplify (/ 1 1) into 1 3.598 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.598 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.598 * [taylor]: Taking taylor expansion of b in a 3.598 * [backup-simplify]: Simplify b into b 3.598 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.598 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.599 * [backup-simplify]: Simplify (+ 1 0) into 1 3.599 * [taylor]: Taking taylor expansion of 1 in b 3.599 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.601 * [taylor]: Taking taylor expansion of 0 in b 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (- (/ 1 (pow b 2))) into (- (/ 1 (pow b 2))) 3.603 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow b 2)))) into (- (/ 1 (pow b 2))) 3.603 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.603 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.603 * [taylor]: Taking taylor expansion of b in b 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.603 * [backup-simplify]: Simplify (* 1 1) into 1 3.604 * [backup-simplify]: Simplify (/ 1 1) into 1 3.604 * [backup-simplify]: Simplify (- 1) into -1 3.604 * [backup-simplify]: Simplify -1 into -1 3.604 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (+ (* b 0) (* 0 b)) into 0 3.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))))) into 0 3.607 * [backup-simplify]: Simplify (- 0) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [taylor]: Taking taylor expansion of 0 in b 3.608 * [backup-simplify]: Simplify 0 into 0 3.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.610 * [backup-simplify]: Simplify (- 0) into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.610 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 3.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow b 2)) (/ 0 (pow b 2))) (* 0 (/ 0 (pow b 2))))) into 0 3.613 * [backup-simplify]: Simplify (- 0) into 0 3.614 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [taylor]: Taking taylor expansion of 0 in b 3.614 * [backup-simplify]: Simplify 0 into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (- 0) into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.616 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (- (pow a 2) (pow b 2)) 3.617 * * * [progress]: simplifying candidates 3.618 * [simplify]: Simplifying: (fma a a (- (* b b))) (fma (- b) b (* b b)) (expm1 (- (* a a) (* b b))) (log1p (- (* a a) (* b b))) (- (* b b)) (/ (exp (* a a)) (exp (* b b))) (log (- (* a a) (* b b))) (exp (- (* a a) (* b b))) (* (cbrt (- (* a a) (* b b))) (cbrt (- (* a a) (* b b)))) (cbrt (- (* a a) (* b b))) (* (* (- (* a a) (* b b)) (- (* a a) (* b b))) (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (sqrt (- (* a a) (* b b))) (- (pow (* a a) 3) (pow (* b b) 3)) (+ (* (* a a) (* a a)) (+ (* (* b b) (* b b)) (* (* a a) (* b b)))) (- (* b b)) (- (* (* a a) (* a a)) (* (* b b) (* b b))) (+ (* a a) (* b b)) (+ a b) (- a b) (- (* b b)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) 3.618 * * [simplify]: iteration 0: 38 enodes 3.630 * * [simplify]: iteration 1: 118 enodes 3.693 * * [simplify]: iteration 2: 646 enodes 4.089 * * [simplify]: iteration complete: 5000 enodes 4.089 * * [simplify]: Extracting #0: cost 17 inf + 0 4.090 * * [simplify]: Extracting #1: cost 513 inf + 0 4.102 * * [simplify]: Extracting #2: cost 1932 inf + 317 4.108 * * [simplify]: Extracting #3: cost 812 inf + 7627 4.115 * * [simplify]: Extracting #4: cost 122 inf + 13392 4.122 * * [simplify]: Extracting #5: cost 25 inf + 14080 4.128 * * [simplify]: Extracting #6: cost 0 inf + 14295 4.135 * [simplify]: Simplified to: (* (+ a b) (- a b)) (* b (+ (- b) b)) (expm1 (* (+ a b) (- a b))) (log1p (* (+ a b) (- a b))) (- (* b b)) (pow (exp (+ a b)) (- a b)) (log (* (+ a b) (- a b))) (pow (exp (+ a b)) (- a b)) (* (cbrt (* (+ a b) (- a b))) (cbrt (* (+ a b) (- a b)))) (cbrt (* (+ a b) (- a b))) (pow (* (+ a b) (- a b)) 3) (sqrt (* (+ a b) (- a b))) (sqrt (* (+ a b) (- a b))) (- (pow a 6) (pow b 6)) (fma b (fma (* a a) b (pow b 3)) (pow a 4)) (- (* b b)) (- (pow a 4) (pow b 4)) (fma a a (* b b)) (+ a b) (- a b) (- (* b b)) (* (+ a b) (- a b)) (* (+ a b) (- a b)) (* (+ a b) (- a b)) 4.135 * * * [progress]: adding candidates to table 4.237 * * [progress]: iteration 2 / 4 4.237 * * * [progress]: picking best candidate 4.240 * * * * [pick]: Picked # 4.240 * * * [progress]: localizing error 4.255 * * * [progress]: generating rewritten candidates 4.255 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 4.302 * * * [progress]: generating series expansions 4.302 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 4.302 * [backup-simplify]: Simplify (* (+ a b) (- a b)) into (* (+ a b) (- a b)) 4.302 * [approximate]: Taking taylor expansion of (* (+ a b) (- a b)) in (a b) around 0 4.302 * [taylor]: Taking taylor expansion of (* (+ a b) (- a b)) in b 4.302 * [taylor]: Taking taylor expansion of (+ a b) in b 4.302 * [taylor]: Taking taylor expansion of a in b 4.302 * [backup-simplify]: Simplify a into a 4.302 * [taylor]: Taking taylor expansion of b in b 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [taylor]: Taking taylor expansion of (- a b) in b 4.302 * [taylor]: Taking taylor expansion of a in b 4.302 * [backup-simplify]: Simplify a into a 4.302 * [taylor]: Taking taylor expansion of b in b 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [taylor]: Taking taylor expansion of (* (+ a b) (- a b)) in a 4.302 * [taylor]: Taking taylor expansion of (+ a b) in a 4.302 * [taylor]: Taking taylor expansion of a in a 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [taylor]: Taking taylor expansion of b in a 4.302 * [backup-simplify]: Simplify b into b 4.302 * [taylor]: Taking taylor expansion of (- a b) in a 4.302 * [taylor]: Taking taylor expansion of a in a 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [taylor]: Taking taylor expansion of b in a 4.302 * [backup-simplify]: Simplify b into b 4.302 * [taylor]: Taking taylor expansion of (* (+ a b) (- a b)) in a 4.302 * [taylor]: Taking taylor expansion of (+ a b) in a 4.302 * [taylor]: Taking taylor expansion of a in a 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [taylor]: Taking taylor expansion of b in a 4.302 * [backup-simplify]: Simplify b into b 4.302 * [taylor]: Taking taylor expansion of (- a b) in a 4.302 * [taylor]: Taking taylor expansion of a in a 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [taylor]: Taking taylor expansion of b in a 4.302 * [backup-simplify]: Simplify b into b 4.302 * [backup-simplify]: Simplify (+ 0 b) into b 4.302 * [backup-simplify]: Simplify (- b) into (- b) 4.302 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 4.303 * [backup-simplify]: Simplify (* b (- b)) into (* -1 (pow b 2)) 4.303 * [taylor]: Taking taylor expansion of (* -1 (pow b 2)) in b 4.303 * [taylor]: Taking taylor expansion of -1 in b 4.303 * [backup-simplify]: Simplify -1 into -1 4.303 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.303 * [taylor]: Taking taylor expansion of b in b 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (- 0) into 0 4.303 * [backup-simplify]: Simplify (+ 1 0) into 1 4.304 * [backup-simplify]: Simplify (+ 1 0) into 1 4.304 * [backup-simplify]: Simplify (+ (* b 1) (* 1 (- b))) into 0 4.304 * [taylor]: Taking taylor expansion of 0 in b 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify (- 0) into 0 4.304 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 1) (* 0 (- b)))) into 1 4.305 * [taylor]: Taking taylor expansion of 1 in b 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify (* 1 1) into 1 4.305 * [backup-simplify]: Simplify (* -1 1) into -1 4.306 * [backup-simplify]: Simplify -1 into -1 4.306 * [backup-simplify]: Simplify (- 0) into 0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [backup-simplify]: Simplify (+ 0 0) into 0 4.307 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- b))))) into 0 4.307 * [taylor]: Taking taylor expansion of 0 in b 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.308 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify (- 0) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [backup-simplify]: Simplify (+ 0 0) into 0 4.309 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- b)))))) into 0 4.309 * [taylor]: Taking taylor expansion of 0 in b 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify (+ (* -1 (pow (* b 1) 2)) (* 1 (pow (* 1 a) 2))) into (- (pow a 2) (pow b 2)) 4.310 * [backup-simplify]: Simplify (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) into (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) 4.310 * [approximate]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in (a b) around 0 4.310 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 4.310 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 4.310 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.310 * [taylor]: Taking taylor expansion of a in b 4.310 * [backup-simplify]: Simplify a into a 4.310 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.310 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.310 * [taylor]: Taking taylor expansion of b in b 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.310 * [backup-simplify]: Simplify (/ 1 1) into 1 4.310 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 4.310 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.310 * [taylor]: Taking taylor expansion of a in b 4.310 * [backup-simplify]: Simplify a into a 4.310 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.310 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.310 * [taylor]: Taking taylor expansion of b in b 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify (/ 1 1) into 1 4.311 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 4.311 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.311 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.311 * [taylor]: Taking taylor expansion of a in a 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify (/ 1 1) into 1 4.311 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.311 * [taylor]: Taking taylor expansion of b in a 4.311 * [backup-simplify]: Simplify b into b 4.311 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.311 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.311 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.311 * [taylor]: Taking taylor expansion of a in a 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.311 * [backup-simplify]: Simplify (/ 1 1) into 1 4.311 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.311 * [taylor]: Taking taylor expansion of b in a 4.311 * [backup-simplify]: Simplify b into b 4.311 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.311 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 4.311 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.311 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.311 * [taylor]: Taking taylor expansion of a in a 4.311 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (/ 1 1) into 1 4.312 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.312 * [taylor]: Taking taylor expansion of b in a 4.312 * [backup-simplify]: Simplify b into b 4.312 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.312 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 4.312 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.312 * [taylor]: Taking taylor expansion of a in a 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 1 into 1 4.312 * [backup-simplify]: Simplify (/ 1 1) into 1 4.312 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.312 * [taylor]: Taking taylor expansion of b in a 4.312 * [backup-simplify]: Simplify b into b 4.312 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.313 * [backup-simplify]: Simplify (+ 1 0) into 1 4.313 * [backup-simplify]: Simplify (+ 1 0) into 1 4.313 * [backup-simplify]: Simplify (* 1 1) into 1 4.313 * [taylor]: Taking taylor expansion of 1 in b 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.314 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 4.314 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 4.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.314 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 4.314 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 4.314 * [taylor]: Taking taylor expansion of 0 in b 4.314 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.315 * [backup-simplify]: Simplify (- 0) into 0 4.315 * [backup-simplify]: Simplify (+ 0 0) into 0 4.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.316 * [backup-simplify]: Simplify (+ 0 0) into 0 4.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 4.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 4.317 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.317 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.317 * [taylor]: Taking taylor expansion of b in b 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (* 1 1) into 1 4.317 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [backup-simplify]: Simplify (- 1) into -1 4.318 * [backup-simplify]: Simplify -1 into -1 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.319 * [backup-simplify]: Simplify (- 0) into 0 4.319 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* 0 (- (/ 1 b))) (* 0 1)))) into 0 4.320 * [taylor]: Taking taylor expansion of 0 in b 4.320 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (- 0) into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.322 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 b))) (* 0 1))))) into 0 4.324 * [taylor]: Taking taylor expansion of 0 in b 4.324 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.326 * [backup-simplify]: Simplify (- 0) into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 2)) (* -1 (pow (* (/ 1 (/ 1 b)) 1) 2))) into (- (pow a 2) (pow b 2)) 4.326 * [backup-simplify]: Simplify (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) 4.326 * [approximate]: Taking taylor expansion of (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 4.326 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 4.326 * [taylor]: Taking taylor expansion of -1 in b 4.326 * [backup-simplify]: Simplify -1 into -1 4.326 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 4.326 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 4.326 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.326 * [taylor]: Taking taylor expansion of b in b 4.326 * [backup-simplify]: Simplify 0 into 0 4.326 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.327 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.327 * [taylor]: Taking taylor expansion of a in b 4.327 * [backup-simplify]: Simplify a into a 4.327 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.327 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 4.327 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.327 * [taylor]: Taking taylor expansion of a in b 4.327 * [backup-simplify]: Simplify a into a 4.327 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.327 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.327 * [taylor]: Taking taylor expansion of b in b 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.327 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 4.327 * [taylor]: Taking taylor expansion of -1 in a 4.327 * [backup-simplify]: Simplify -1 into -1 4.327 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 4.327 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 4.327 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.327 * [taylor]: Taking taylor expansion of b in a 4.327 * [backup-simplify]: Simplify b into b 4.327 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.327 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.327 * [taylor]: Taking taylor expansion of a in a 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.328 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.328 * [taylor]: Taking taylor expansion of a in a 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.328 * [taylor]: Taking taylor expansion of b in a 4.328 * [backup-simplify]: Simplify b into b 4.328 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.328 * [taylor]: Taking taylor expansion of (* -1 (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 4.328 * [taylor]: Taking taylor expansion of -1 in a 4.328 * [backup-simplify]: Simplify -1 into -1 4.328 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 4.328 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 4.328 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.328 * [taylor]: Taking taylor expansion of b in a 4.328 * [backup-simplify]: Simplify b into b 4.328 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.328 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.328 * [taylor]: Taking taylor expansion of a in a 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.328 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 4.328 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.328 * [taylor]: Taking taylor expansion of a in a 4.328 * [backup-simplify]: Simplify 0 into 0 4.328 * [backup-simplify]: Simplify 1 into 1 4.329 * [backup-simplify]: Simplify (/ 1 1) into 1 4.329 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.329 * [taylor]: Taking taylor expansion of b in a 4.329 * [backup-simplify]: Simplify b into b 4.329 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.329 * [backup-simplify]: Simplify (- 1) into -1 4.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.330 * [backup-simplify]: Simplify (+ 1 0) into 1 4.330 * [backup-simplify]: Simplify (* -1 1) into -1 4.330 * [backup-simplify]: Simplify (* -1 -1) into 1 4.330 * [taylor]: Taking taylor expansion of 1 in b 4.330 * [backup-simplify]: Simplify 1 into 1 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (- 0) into 0 4.331 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 4.332 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 4.332 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.332 * [taylor]: Taking taylor expansion of 0 in b 4.332 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.334 * [backup-simplify]: Simplify (+ 0 0) into 0 4.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 4.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (- 0) into 0 4.335 * [backup-simplify]: Simplify (+ 0 0) into 0 4.336 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 4.337 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow b 2))) 4.337 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 4.337 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.337 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.337 * [taylor]: Taking taylor expansion of b in b 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.338 * [backup-simplify]: Simplify (* 1 1) into 1 4.338 * [backup-simplify]: Simplify (/ 1 1) into 1 4.338 * [backup-simplify]: Simplify (- 1) into -1 4.338 * [backup-simplify]: Simplify -1 into -1 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.340 * [backup-simplify]: Simplify (+ 0 0) into 0 4.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (- 0) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (+ (* 0 (/ 1 b)) (* 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 -1)))) into 0 4.344 * [taylor]: Taking taylor expansion of 0 in b 4.344 * [backup-simplify]: Simplify 0 into 0 4.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (- 0) into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.348 * [backup-simplify]: Simplify (+ 0 0) into 0 4.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 4.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.349 * [backup-simplify]: Simplify (- 0) into 0 4.349 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 (/ 1 b)) (* 0 1))))) into 0 4.355 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow b 2))) (+ (* 0 0) (* 0 -1))))) into 0 4.355 * [taylor]: Taking taylor expansion of 0 in b 4.355 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (- 0) into 0 4.357 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- b))) 1) 2))) into (- (pow a 2) (pow b 2)) 4.358 * * * [progress]: simplifying candidates 4.360 * [simplify]: Simplifying: (expm1 (* (+ a b) (- a b))) (log1p (* (+ a b) (- a b))) (* (+ a b) (- a b)) (+ (log (+ a b)) (log (- a b))) (log (* (+ a b) (- a b))) (exp (* (+ a b) (- a b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- a b) (- a b)) (- a b))) (* (cbrt (* (+ a b) (- a b))) (cbrt (* (+ a b) (- a b)))) (cbrt (* (+ a b) (- a b))) (* (* (* (+ a b) (- a b)) (* (+ a b) (- a b))) (* (+ a b) (- a b))) (sqrt (* (+ a b) (- a b))) (sqrt (* (+ a b) (- a b))) (* (+ (pow a 3) (pow b 3)) (- (pow a 3) (pow b 3))) (* (+ (* a a) (- (* b b) (* a b))) (+ (* a a) (+ (* b b) (* a b)))) (* (+ (pow a 3) (pow b 3)) (- (* a a) (* b b))) (* (+ (* a a) (- (* b b) (* a b))) (+ a b)) (* (- (* a a) (* b b)) (- (pow a 3) (pow b 3))) (* (- a b) (+ (* a a) (+ (* b b) (* a b)))) (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (+ a b)) (* (sqrt (+ a b)) (sqrt (- a b))) (* (sqrt (+ a b)) (sqrt (- a b))) (* (+ a b) (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt b) (* (cbrt b) (cbrt b)))))) (* (+ a b) (fma (- (cbrt b)) (* (cbrt b) (cbrt b)) (* (cbrt b) (* (cbrt b) (cbrt b))))) (* (+ a b) (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (sqrt b) (sqrt b))))) (* (+ a b) (fma (- (sqrt b)) (sqrt b) (* (sqrt b) (sqrt b)))) (* (+ a b) (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* b 1)))) (* (+ a b) (fma (- b) 1 (* b 1))) (* (+ a b) (fma (sqrt a) (sqrt a) (- (* (cbrt b) (* (cbrt b) (cbrt b)))))) (* (+ a b) (fma (- (cbrt b)) (* (cbrt b) (cbrt b)) (* (cbrt b) (* (cbrt b) (cbrt b))))) (* (+ a b) (fma (sqrt a) (sqrt a) (- (* (sqrt b) (sqrt b))))) (* (+ a b) (fma (- (sqrt b)) (sqrt b) (* (sqrt b) (sqrt b)))) (* (+ a b) (fma (sqrt a) (sqrt a) (- (* b 1)))) (* (+ a b) (fma (- b) 1 (* b 1))) (* (+ a b) (fma 1 a (- (* (cbrt b) (* (cbrt b) (cbrt b)))))) (* (+ a b) (fma (- (cbrt b)) (* (cbrt b) (cbrt b)) (* (cbrt b) (* (cbrt b) (cbrt b))))) (* (+ a b) (fma 1 a (- (* (sqrt b) (sqrt b))))) (* (+ a b) (fma (- (sqrt b)) (sqrt b) (* (sqrt b) (sqrt b)))) (* (+ a b) (fma 1 a (- (* b 1)))) (* (+ a b) (fma (- b) 1 (* b 1))) (* (+ a b) a) (* (+ a b) (- b)) (* (+ a b) a) (* (+ a b) (- b)) (* (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (cbrt b) (* (cbrt b) (cbrt b))))) (+ a b)) (* (fma (- (cbrt b)) (* (cbrt b) (cbrt b)) (* (cbrt b) (* (cbrt b) (cbrt b)))) (+ a b)) (* (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* (sqrt b) (sqrt b)))) (+ a b)) (* (fma (- (sqrt b)) (sqrt b) (* (sqrt b) (sqrt b))) (+ a b)) (* (fma (* (cbrt a) (cbrt a)) (cbrt a) (- (* b 1))) (+ a b)) (* (fma (- b) 1 (* b 1)) (+ a b)) (* (fma (sqrt a) (sqrt a) (- (* (cbrt b) (* (cbrt b) (cbrt b))))) (+ a b)) (* (fma (- (cbrt b)) (* (cbrt b) (cbrt b)) (* (cbrt b) (* (cbrt b) (cbrt b)))) (+ a b)) (* (fma (sqrt a) (sqrt a) (- (* (sqrt b) (sqrt b)))) (+ a b)) (* (fma (- (sqrt b)) (sqrt b) (* (sqrt b) (sqrt b))) (+ a b)) (* (fma (sqrt a) (sqrt a) (- (* b 1))) (+ a b)) (* (fma (- b) 1 (* b 1)) (+ a b)) (* (fma 1 a (- (* (cbrt b) (* (cbrt b) (cbrt b))))) (+ a b)) (* (fma (- (cbrt b)) (* (cbrt b) (cbrt b)) (* (cbrt b) (* (cbrt b) (cbrt b)))) (+ a b)) (* (fma 1 a (- (* (sqrt b) (sqrt b)))) (+ a b)) (* (fma (- (sqrt b)) (sqrt b) (* (sqrt b) (sqrt b))) (+ a b)) (* (fma 1 a (- (* b 1))) (+ a b)) (* (fma (- b) 1 (* b 1)) (+ a b)) (* a (+ a b)) (* (- b) (+ a b)) (* a (+ a b)) (* (- b) (+ a b)) (* (+ a b) (* (cbrt (- a b)) (cbrt (- a b)))) (* (+ a b) (sqrt (- a b))) (* (+ a b) 1) (* (+ a b) (+ (sqrt a) (sqrt b))) (* (+ a b) 1) (* (cbrt (+ a b)) (- a b)) (* (sqrt (+ a b)) (- a b)) (* (+ a b) (- a b)) (* (+ a b) (- a b)) (* (+ a b) (- (pow a 3) (pow b 3))) (* (+ a b) (- (* a a) (* b b))) (* (+ (pow a 3) (pow b 3)) (- a b)) (* (- (* a a) (* b b)) (- a b)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) (- (pow a 2) (pow b 2)) 4.362 * * [simplify]: iteration 0: 120 enodes 4.404 * * [simplify]: iteration 1: 401 enodes 4.730 * * [simplify]: iteration 2: 2818 enodes 6.528 * * [simplify]: iteration complete: 5000 enodes 6.528 * * [simplify]: Extracting #0: cost 32 inf + 0 6.531 * * [simplify]: Extracting #1: cost 990 inf + 0 6.541 * * [simplify]: Extracting #2: cost 1496 inf + 185 6.548 * * [simplify]: Extracting #3: cost 656 inf + 4963 6.559 * * [simplify]: Extracting #4: cost 132 inf + 9258 6.569 * * [simplify]: Extracting #5: cost 53 inf + 9912 6.575 * * [simplify]: Extracting #6: cost 13 inf + 9989 6.581 * * [simplify]: Extracting #7: cost 0 inf + 10056 6.586 * [simplify]: Simplified to: (expm1 (* (- a b) (+ b a))) (log1p (* (- a b) (+ b a))) (* (- a b) (+ b a)) (log (* (- a b) (+ b a))) (log (* (- a b) (+ b a))) (pow (exp (- a b)) (+ a b)) (pow (* (- a b) (+ b a)) 3) (* (cbrt (* (- a b) (+ b a))) (cbrt (* (- a b) (+ b a)))) (cbrt (* (- a b) (+ b a))) (pow (* (- a b) (+ b a)) 3) (sqrt (* (- a b) (+ b a))) (sqrt (* (- a b) (+ b a))) (* (+ (pow b 3) (pow a 3)) (- (pow a 3) (pow b 3))) (* (fma a a (* b (+ b a))) (fma a a (* b (- b a)))) (* (fma a a (* b (- b))) (+ (pow b 3) (pow a 3))) (* (fma a a (* b (- b a))) (+ a b)) (* (- (pow a 3) (pow b 3)) (fma a a (* b (- b)))) (* (fma a a (* b (+ b a))) (- a b)) (* (fma a a (* b (- b))) (fma a a (* b (- b)))) (* (- a b) (+ b a)) (* (sqrt (+ b a)) (sqrt (- a b))) (* (sqrt (+ b a)) (sqrt (- a b))) (* (- (pow (cbrt a) 3) b) (+ a b)) (* (fma -1 b b) (+ a b)) (* (- (pow (cbrt a) 3) b) (+ a b)) (* (fma -1 b b) (+ a b)) (* (- (pow (cbrt a) 3) b) (+ a b)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* a (+ b a)) (- (* (+ b a) b)) (* a (+ b a)) (- (* (+ b a) b)) (* (- (pow (cbrt a) 3) b) (+ a b)) (* (fma -1 b b) (+ a b)) (* (- (pow (cbrt a) 3) b) (+ a b)) (* (fma -1 b b) (+ a b)) (* (- (pow (cbrt a) 3) b) (+ a b)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* (- a b) (+ b a)) (* (fma -1 b b) (+ a b)) (* a (+ b a)) (- (* (+ b a) b)) (* a (+ b a)) (- (* (+ b a) b)) (* (* (cbrt (- a b)) (cbrt (- a b))) (+ b a)) (* (sqrt (- a b)) (+ b a)) (+ b a) (* (+ (sqrt b) (sqrt a)) (+ b a)) (+ b a) (* (cbrt (+ b a)) (- a b)) (* (sqrt (+ b a)) (- a b)) (* (- a b) (+ b a)) (* (- a b) (+ b a)) (* (- (pow a 3) (pow b 3)) (+ b a)) (* (+ b a) (fma a a (* b (- b)))) (* (- a b) (+ (pow b 3) (pow a 3))) (* (- a b) (fma a a (* b (- b)))) (fma a a (* b (- b))) (fma a a (* b (- b))) (fma a a (* b (- b))) 6.587 * * * [progress]: adding candidates to table 6.765 * [progress]: [Phase 3 of 3] Extracting. 6.765 * * [regime]: Finding splitpoints for: (# #) 6.765 * * * [regime-changes]: Trying 5 branch expressions: ((* b b) (* a a) (- (* a a) (* b b)) b a) 6.765 * * * * [regimes]: Trying to branch on (* b b) from (# #) 6.811 * * * * [regimes]: Trying to branch on (* a a) from (# #) 6.839 * * * * [regimes]: Trying to branch on (- (* a a) (* b b)) from (# #) 6.882 * * * * [regimes]: Trying to branch on b from (# #) 6.909 * * * * [regimes]: Trying to branch on a from (# #) 6.952 * * * [regime]: Found split indices: #