8.953 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.052 * * * [progress]: [2/2] Setting up program. 0.056 * [progress]: [Phase 2 of 3] Improving. 0.056 * [simplify]: Simplifying: (sqrt (fabs (/ (- (* a a) (* b b)) (* a a)))) 0.056 * * [simplify]: Extracting # 0 : cost 0 0.056 * * [simplify]: Extracting # 1 : cost 0 0.056 * * [simplify]: Extracting # 2 : cost 0 0.056 * * [simplify]: Extracting # 3 : cost 0 0.056 * * [simplify]: Extracting # 4 : cost 0 0.057 * * [simplify]: Extracting # 5 : cost 0 0.057 * * [simplify]: Extracting # 6 : cost 0 0.057 * * [simplify]: Extracting # 7 : cost 0 0.057 * * [simplify]: iteration 0 : 8 enodes (cost 13 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: Extracting # 1 : cost 0 0.060 * * [simplify]: Extracting # 2 : cost 0 0.060 * * [simplify]: iteration 1 : 18 enodes (cost 13 ) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: Extracting # 1 : cost 0 0.067 * * [simplify]: Extracting # 2 : cost 0 0.067 * * [simplify]: iteration 2 : 47 enodes (cost 11 ) 0.083 * * [simplify]: Extracting # 0 : cost 0 0.083 * * [simplify]: Extracting # 1 : cost 0 0.084 * * [simplify]: Extracting # 2 : cost 0 0.084 * * [simplify]: iteration 3 : 98 enodes (cost 11 ) 0.144 * * [simplify]: Extracting # 0 : cost 0 0.144 * * [simplify]: Extracting # 1 : cost 0 0.145 * * [simplify]: Extracting # 2 : cost 0 0.145 * * [simplify]: iteration 4 : 187 enodes (cost 11 ) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: Extracting # 1 : cost 0 0.225 * * [simplify]: Extracting # 2 : cost 0 0.225 * * [simplify]: iteration 5 : 332 enodes (cost 11 ) 0.372 * * [simplify]: Extracting # 0 : cost 0 0.373 * * [simplify]: Extracting # 1 : cost 0 0.374 * * [simplify]: Extracting # 2 : cost 0 0.374 * * [simplify]: Extracting # 3 : cost 0 0.374 * * [simplify]: iteration 6 : 498 enodes (cost 11 ) 0.907 * * [simplify]: Extracting # 0 : cost 0 0.908 * * [simplify]: Extracting # 1 : cost 0 0.909 * * [simplify]: Extracting # 2 : cost 0 0.911 * * [simplify]: Extracting # 3 : cost 0 0.913 * * [simplify]: iteration 7 : 1408 enodes (cost 11 ) 4.620 * * [simplify]: Extracting # 0 : cost 0 4.627 * * [simplify]: Extracting # 1 : cost 0 4.632 * * [simplify]: Extracting # 2 : cost 0 4.644 * * [simplify]: Extracting # 3 : cost 0 4.651 * * [simplify]: Extracting # 4 : cost 0 4.659 * * [simplify]: iteration done: 5001 enodes (cost 11 ) 4.659 * [simplify]: Simplified to: (sqrt (fabs (- 1 (/ (* b b) (* a a))))) 4.664 * * [progress]: iteration 1 / 4 4.664 * * * [progress]: picking best candidate 4.667 * * * * [pick]: Picked # 4.667 * * * [progress]: localizing error 4.676 * * * [progress]: generating rewritten candidates 4.676 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1 1 2) 4.692 * * * [progress]: generating series expansions 4.692 * * * * [progress]: [ 1 / 1 ] generating series at (2 1 1 2) 4.692 * [backup-simplify]: Simplify (/ (* b b) (* a a)) into (/ (pow b 2) (pow a 2)) 4.692 * [approximate]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in (b a) around 0 4.692 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in a 4.692 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.692 * [taylor]: Taking taylor expansion of b in a 4.692 * [backup-simplify]: Simplify b into b 4.692 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.693 * [taylor]: Taking taylor expansion of a in a 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify 1 into 1 4.693 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.693 * [backup-simplify]: Simplify (* 1 1) into 1 4.693 * [backup-simplify]: Simplify (/ (pow b 2) 1) into (pow b 2) 4.693 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in b 4.693 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.693 * [taylor]: Taking taylor expansion of b in b 4.693 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify 1 into 1 4.693 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.693 * [taylor]: Taking taylor expansion of a in b 4.693 * [backup-simplify]: Simplify a into a 4.694 * [backup-simplify]: Simplify (* 1 1) into 1 4.694 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.694 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.694 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in b 4.694 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.694 * [taylor]: Taking taylor expansion of b in b 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.694 * [taylor]: Taking taylor expansion of a in b 4.694 * [backup-simplify]: Simplify a into a 4.694 * [backup-simplify]: Simplify (* 1 1) into 1 4.694 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.694 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.694 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.694 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.694 * [taylor]: Taking taylor expansion of a in a 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (* 1 1) into 1 4.695 * [backup-simplify]: Simplify (/ 1 1) into 1 4.695 * [backup-simplify]: Simplify 1 into 1 4.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.696 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.696 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 4.696 * [taylor]: Taking taylor expansion of 0 in a 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.700 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.700 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.700 * [taylor]: Taking taylor expansion of 0 in a 4.700 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.704 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.705 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.705 * [taylor]: Taking taylor expansion of 0 in a 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.708 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.710 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 4.711 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.711 * [taylor]: Taking taylor expansion of 0 in a 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 a) b) 2)) into (/ (pow b 2) (pow a 2)) 4.712 * [backup-simplify]: Simplify (/ (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (/ (pow a 2) (pow b 2)) 4.712 * [approximate]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in (b a) around 0 4.712 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in a 4.712 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.712 * [taylor]: Taking taylor expansion of a in a 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 1 into 1 4.712 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.712 * [taylor]: Taking taylor expansion of b in a 4.713 * [backup-simplify]: Simplify b into b 4.713 * [backup-simplify]: Simplify (* 1 1) into 1 4.713 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.713 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.713 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.713 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.714 * [taylor]: Taking taylor expansion of a in b 4.714 * [backup-simplify]: Simplify a into a 4.714 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.714 * [taylor]: Taking taylor expansion of b in b 4.714 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify 1 into 1 4.714 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.714 * [backup-simplify]: Simplify (* 1 1) into 1 4.714 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.714 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.714 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.714 * [taylor]: Taking taylor expansion of a in b 4.715 * [backup-simplify]: Simplify a into a 4.715 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.715 * [taylor]: Taking taylor expansion of b in b 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.715 * [backup-simplify]: Simplify (* 1 1) into 1 4.715 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.715 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.715 * [taylor]: Taking taylor expansion of a in a 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (* 1 1) into 1 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)))) into 0 4.718 * [taylor]: Taking taylor expansion of 0 in a 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.722 * [taylor]: Taking taylor expansion of 0 in a 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.722 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.723 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.728 * [taylor]: Taking taylor expansion of 0 in a 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify 0 into 0 4.728 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 a) (/ 1 (/ 1 b))) 2)) into (/ (pow b 2) (pow a 2)) 4.728 * [backup-simplify]: Simplify (/ (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (/ (pow a 2) (pow b 2)) 4.728 * [approximate]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in (b a) around 0 4.729 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in a 4.729 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.729 * [taylor]: Taking taylor expansion of a in a 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.729 * [taylor]: Taking taylor expansion of b in a 4.729 * [backup-simplify]: Simplify b into b 4.729 * [backup-simplify]: Simplify (* 1 1) into 1 4.729 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.729 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.730 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.730 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.730 * [taylor]: Taking taylor expansion of a in b 4.730 * [backup-simplify]: Simplify a into a 4.730 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.730 * [taylor]: Taking taylor expansion of b in b 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.730 * [backup-simplify]: Simplify (* 1 1) into 1 4.730 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.730 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 4.730 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.730 * [taylor]: Taking taylor expansion of a in b 4.731 * [backup-simplify]: Simplify a into a 4.731 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.731 * [taylor]: Taking taylor expansion of b in b 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.731 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.731 * [backup-simplify]: Simplify (* 1 1) into 1 4.731 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 4.731 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.731 * [taylor]: Taking taylor expansion of a in a 4.731 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (* 1 1) into 1 4.732 * [backup-simplify]: Simplify 1 into 1 4.732 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)))) into 0 4.734 * [taylor]: Taking taylor expansion of 0 in a 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.738 * [taylor]: Taking taylor expansion of 0 in a 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.743 * [taylor]: Taking taylor expansion of 0 in a 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (- a)) (/ 1 (/ 1 (- b)))) 2)) into (/ (pow b 2) (pow a 2)) 4.744 * * * [progress]: simplifying candidates 4.744 * [simplify]: Simplifying: (- (+ (log b) (log b)) (+ (log a) (log a))) (- (+ (log b) (log b)) (log (* a a))) (- (log (* b b)) (+ (log a) (log a))) (- (log (* b b)) (log (* a a))) (log (/ (* b b) (* a a))) (exp (/ (* b b) (* a a))) (/ (* (* (* b b) b) (* (* b b) b)) (* (* (* a a) a) (* (* a a) a))) (/ (* (* (* b b) b) (* (* b b) b)) (* (* (* a a) (* a a)) (* a a))) (/ (* (* (* b b) (* b b)) (* b b)) (* (* (* a a) a) (* (* a a) a))) (/ (* (* (* b b) (* b b)) (* b b)) (* (* (* a a) (* a a)) (* a a))) (* (cbrt (/ (* b b) (* a a))) (cbrt (/ (* b b) (* a a)))) (cbrt (/ (* b b) (* a a))) (* (* (/ (* b b) (* a a)) (/ (* b b) (* a a))) (/ (* b b) (* a a))) (sqrt (/ (* b b) (* a a))) (sqrt (/ (* b b) (* a a))) (- (* b b)) (- (* a a)) (/ b a) (/ b a) (/ 1 (* a a)) (/ (* a a) (* b b)) (/ (* b b) a) (/ (* a a) b) (/ (pow b 2) (pow a 2)) (/ (pow b 2) (pow a 2)) (/ (pow b 2) (pow a 2)) 4.745 * * [simplify]: Extracting # 0 : cost 0 4.746 * * [simplify]: Extracting # 1 : cost 0 4.746 * * [simplify]: Extracting # 2 : cost 0 4.746 * * [simplify]: Extracting # 3 : cost 0 4.746 * * [simplify]: Extracting # 4 : cost 0 4.746 * * [simplify]: Extracting # 5 : cost 0 4.746 * * [simplify]: iteration 0 : 46 enodes (cost 269 ) 4.778 * * [simplify]: Extracting # 0 : cost 0 4.779 * * [simplify]: Extracting # 1 : cost 0 4.779 * * [simplify]: Extracting # 2 : cost 0 4.779 * * [simplify]: iteration 1 : 120 enodes (cost 261 ) 4.866 * * [simplify]: Extracting # 0 : cost 0 4.867 * * [simplify]: Extracting # 1 : cost 0 4.868 * * [simplify]: Extracting # 2 : cost 0 4.869 * * [simplify]: Extracting # 3 : cost 0 4.870 * * [simplify]: Extracting # 4 : cost 0 4.875 * * [simplify]: iteration 2 : 461 enodes (cost 178 ) 5.696 * * [simplify]: Extracting # 0 : cost 0 5.700 * * [simplify]: Extracting # 1 : cost 0 5.703 * * [simplify]: Extracting # 2 : cost 0 5.705 * * [simplify]: Extracting # 3 : cost 0 5.706 * * [simplify]: Extracting # 4 : cost 0 5.708 * * [simplify]: iteration 3 : 1775 enodes (cost 163 ) 13.917 * * [simplify]: Extracting # 0 : cost 0 13.925 * * [simplify]: Extracting # 1 : cost 0 13.928 * * [simplify]: Extracting # 2 : cost 0 13.930 * * [simplify]: Extracting # 3 : cost 0 13.933 * * [simplify]: Extracting # 4 : cost 0 13.935 * * [simplify]: iteration 4 : 4471 enodes (cost 153 ) 15.293 * * [simplify]: Extracting # 0 : cost 0 15.296 * * [simplify]: Extracting # 1 : cost 0 15.301 * * [simplify]: Extracting # 2 : cost 0 15.307 * * [simplify]: iteration done: 5000 enodes (cost 153 ) 15.307 * [simplify]: Simplified to: (* 2 (log (/ b a))) (* 2 (log (/ b a))) (* 2 (log (/ b a))) (* 2 (log (/ b a))) (* 2 (log (/ b a))) (exp (/ (* b b) (* a a))) (pow (/ b a) 6) (pow (/ b a) 6) (pow (/ b a) 6) (pow (/ b a) 6) (* (cbrt (/ (* b b) (* a a))) (cbrt (/ (* b b) (* a a)))) (cbrt (/ (* b b) (* a a))) (pow (/ b a) 6) (fabs (/ b a)) (fabs (/ b a)) (- (* b b)) (- (* a a)) (/ b a) (/ b a) (/ 1 (* a a)) (/ (* a a) (* b b)) (* b (/ b a)) (* a (/ a b)) (/ (* b b) (* a a)) (/ (* b b) (* a a)) (/ (* b b) (* a a)) 15.308 * * * [progress]: adding candidates to table 15.372 * * [progress]: iteration 2 / 4 15.372 * * * [progress]: picking best candidate 15.374 * * * * [pick]: Picked # 15.374 * * * [progress]: localizing error 15.388 * * * [progress]: generating rewritten candidates 15.388 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 2 2) 15.413 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 2) 15.434 * * * [progress]: generating series expansions 15.434 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 2 2) 15.434 * [backup-simplify]: Simplify (* a (/ a b)) into (/ (pow a 2) b) 15.434 * [approximate]: Taking taylor expansion of (/ (pow a 2) b) in (a b) around 0 15.434 * [taylor]: Taking taylor expansion of (/ (pow a 2) b) in b 15.434 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.434 * [taylor]: Taking taylor expansion of a in b 15.434 * [backup-simplify]: Simplify a into a 15.434 * [taylor]: Taking taylor expansion of b in b 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify 1 into 1 15.434 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.434 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 15.434 * [taylor]: Taking taylor expansion of (/ (pow a 2) b) in a 15.434 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.434 * [taylor]: Taking taylor expansion of a in a 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify 1 into 1 15.434 * [taylor]: Taking taylor expansion of b in a 15.434 * [backup-simplify]: Simplify b into b 15.435 * [backup-simplify]: Simplify (* 1 1) into 1 15.435 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.435 * [taylor]: Taking taylor expansion of (/ (pow a 2) b) in a 15.435 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.435 * [taylor]: Taking taylor expansion of a in a 15.435 * [backup-simplify]: Simplify 0 into 0 15.435 * [backup-simplify]: Simplify 1 into 1 15.435 * [taylor]: Taking taylor expansion of b in a 15.435 * [backup-simplify]: Simplify b into b 15.435 * [backup-simplify]: Simplify (* 1 1) into 1 15.435 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.435 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.435 * [taylor]: Taking taylor expansion of b in b 15.435 * [backup-simplify]: Simplify 0 into 0 15.435 * [backup-simplify]: Simplify 1 into 1 15.436 * [backup-simplify]: Simplify (/ 1 1) into 1 15.436 * [backup-simplify]: Simplify 1 into 1 15.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.436 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)))) into 0 15.436 * [taylor]: Taking taylor expansion of 0 in b 15.436 * [backup-simplify]: Simplify 0 into 0 15.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.437 * [backup-simplify]: Simplify 0 into 0 15.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.437 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.437 * [taylor]: Taking taylor expansion of 0 in b 15.437 * [backup-simplify]: Simplify 0 into 0 15.437 * [backup-simplify]: Simplify 0 into 0 15.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.438 * [backup-simplify]: Simplify 0 into 0 15.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.439 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.439 * [taylor]: Taking taylor expansion of 0 in b 15.439 * [backup-simplify]: Simplify 0 into 0 15.439 * [backup-simplify]: Simplify 0 into 0 15.439 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.440 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify (* 1 (* (/ 1 b) (pow a 2))) into (/ (pow a 2) b) 15.441 * [backup-simplify]: Simplify (* (/ 1 a) (/ (/ 1 a) (/ 1 b))) into (/ b (pow a 2)) 15.441 * [approximate]: Taking taylor expansion of (/ b (pow a 2)) in (a b) around 0 15.441 * [taylor]: Taking taylor expansion of (/ b (pow a 2)) in b 15.441 * [taylor]: Taking taylor expansion of b in b 15.441 * [backup-simplify]: Simplify 0 into 0 15.441 * [backup-simplify]: Simplify 1 into 1 15.441 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.441 * [taylor]: Taking taylor expansion of a in b 15.441 * [backup-simplify]: Simplify a into a 15.441 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.442 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 15.442 * [taylor]: Taking taylor expansion of (/ b (pow a 2)) in a 15.442 * [taylor]: Taking taylor expansion of b in a 15.442 * [backup-simplify]: Simplify b into b 15.442 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.442 * [taylor]: Taking taylor expansion of a in a 15.442 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify 1 into 1 15.442 * [backup-simplify]: Simplify (* 1 1) into 1 15.442 * [backup-simplify]: Simplify (/ b 1) into b 15.442 * [taylor]: Taking taylor expansion of (/ b (pow a 2)) in a 15.442 * [taylor]: Taking taylor expansion of b in a 15.442 * [backup-simplify]: Simplify b into b 15.442 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.442 * [taylor]: Taking taylor expansion of a in a 15.442 * [backup-simplify]: Simplify 0 into 0 15.443 * [backup-simplify]: Simplify 1 into 1 15.443 * [backup-simplify]: Simplify (* 1 1) into 1 15.443 * [backup-simplify]: Simplify (/ b 1) into b 15.443 * [taylor]: Taking taylor expansion of b in b 15.443 * [backup-simplify]: Simplify 0 into 0 15.443 * [backup-simplify]: Simplify 1 into 1 15.443 * [backup-simplify]: Simplify 1 into 1 15.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0 15.445 * [taylor]: Taking taylor expansion of 0 in b 15.445 * [backup-simplify]: Simplify 0 into 0 15.445 * [backup-simplify]: Simplify 0 into 0 15.445 * [backup-simplify]: Simplify 0 into 0 15.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.447 * [taylor]: Taking taylor expansion of 0 in b 15.447 * [backup-simplify]: Simplify 0 into 0 15.447 * [backup-simplify]: Simplify 0 into 0 15.447 * [backup-simplify]: Simplify 0 into 0 15.448 * [backup-simplify]: Simplify 0 into 0 15.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.450 * [taylor]: Taking taylor expansion of 0 in b 15.451 * [backup-simplify]: Simplify 0 into 0 15.451 * [backup-simplify]: Simplify 0 into 0 15.451 * [backup-simplify]: Simplify (* 1 (* (/ 1 b) (pow (/ 1 a) -2))) into (/ (pow a 2) b) 15.451 * [backup-simplify]: Simplify (* (/ 1 (- a)) (/ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ b (pow a 2))) 15.451 * [approximate]: Taking taylor expansion of (* -1 (/ b (pow a 2))) in (a b) around 0 15.451 * [taylor]: Taking taylor expansion of (* -1 (/ b (pow a 2))) in b 15.451 * [taylor]: Taking taylor expansion of -1 in b 15.451 * [backup-simplify]: Simplify -1 into -1 15.451 * [taylor]: Taking taylor expansion of (/ b (pow a 2)) in b 15.451 * [taylor]: Taking taylor expansion of b in b 15.451 * [backup-simplify]: Simplify 0 into 0 15.451 * [backup-simplify]: Simplify 1 into 1 15.452 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.452 * [taylor]: Taking taylor expansion of a in b 15.452 * [backup-simplify]: Simplify a into a 15.452 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.452 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 15.452 * [taylor]: Taking taylor expansion of (* -1 (/ b (pow a 2))) in a 15.452 * [taylor]: Taking taylor expansion of -1 in a 15.452 * [backup-simplify]: Simplify -1 into -1 15.452 * [taylor]: Taking taylor expansion of (/ b (pow a 2)) in a 15.452 * [taylor]: Taking taylor expansion of b in a 15.452 * [backup-simplify]: Simplify b into b 15.452 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.452 * [taylor]: Taking taylor expansion of a in a 15.452 * [backup-simplify]: Simplify 0 into 0 15.452 * [backup-simplify]: Simplify 1 into 1 15.453 * [backup-simplify]: Simplify (* 1 1) into 1 15.453 * [backup-simplify]: Simplify (/ b 1) into b 15.453 * [taylor]: Taking taylor expansion of (* -1 (/ b (pow a 2))) in a 15.453 * [taylor]: Taking taylor expansion of -1 in a 15.453 * [backup-simplify]: Simplify -1 into -1 15.453 * [taylor]: Taking taylor expansion of (/ b (pow a 2)) in a 15.453 * [taylor]: Taking taylor expansion of b in a 15.453 * [backup-simplify]: Simplify b into b 15.453 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.453 * [taylor]: Taking taylor expansion of a in a 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 1 into 1 15.453 * [backup-simplify]: Simplify (* 1 1) into 1 15.454 * [backup-simplify]: Simplify (/ b 1) into b 15.454 * [backup-simplify]: Simplify (* -1 b) into (* -1 b) 15.454 * [taylor]: Taking taylor expansion of (* -1 b) in b 15.454 * [taylor]: Taking taylor expansion of -1 in b 15.454 * [backup-simplify]: Simplify -1 into -1 15.454 * [taylor]: Taking taylor expansion of b in b 15.454 * [backup-simplify]: Simplify 0 into 0 15.454 * [backup-simplify]: Simplify 1 into 1 15.455 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 15.455 * [backup-simplify]: Simplify -1 into -1 15.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)))) into 0 15.457 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 b)) into 0 15.457 * [taylor]: Taking taylor expansion of 0 in b 15.457 * [backup-simplify]: Simplify 0 into 0 15.457 * [backup-simplify]: Simplify 0 into 0 15.458 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 15.458 * [backup-simplify]: Simplify 0 into 0 15.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 b))) into 0 15.462 * [taylor]: Taking taylor expansion of 0 in b 15.462 * [backup-simplify]: Simplify 0 into 0 15.462 * [backup-simplify]: Simplify 0 into 0 15.462 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.463 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.467 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 15.467 * [taylor]: Taking taylor expansion of 0 in b 15.467 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify (* -1 (* (/ 1 (- b)) (pow (/ 1 (- a)) -2))) into (/ (pow a 2) b) 15.468 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 2) 15.468 * [backup-simplify]: Simplify (/ b (* a (/ a b))) into (/ (pow b 2) (pow a 2)) 15.468 * [approximate]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in (b a) around 0 15.468 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in a 15.468 * [taylor]: Taking taylor expansion of (pow b 2) in a 15.468 * [taylor]: Taking taylor expansion of b in a 15.468 * [backup-simplify]: Simplify b into b 15.468 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.468 * [taylor]: Taking taylor expansion of a in a 15.468 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify 1 into 1 15.468 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.468 * [backup-simplify]: Simplify (* 1 1) into 1 15.468 * [backup-simplify]: Simplify (/ (pow b 2) 1) into (pow b 2) 15.469 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in b 15.469 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.469 * [taylor]: Taking taylor expansion of b in b 15.469 * [backup-simplify]: Simplify 0 into 0 15.469 * [backup-simplify]: Simplify 1 into 1 15.469 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.469 * [taylor]: Taking taylor expansion of a in b 15.469 * [backup-simplify]: Simplify a into a 15.469 * [backup-simplify]: Simplify (* 1 1) into 1 15.469 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.469 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 15.469 * [taylor]: Taking taylor expansion of (/ (pow b 2) (pow a 2)) in b 15.469 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.469 * [taylor]: Taking taylor expansion of b in b 15.469 * [backup-simplify]: Simplify 0 into 0 15.469 * [backup-simplify]: Simplify 1 into 1 15.469 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.469 * [taylor]: Taking taylor expansion of a in b 15.469 * [backup-simplify]: Simplify a into a 15.469 * [backup-simplify]: Simplify (* 1 1) into 1 15.469 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.470 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 15.470 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 15.470 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.470 * [taylor]: Taking taylor expansion of a in a 15.470 * [backup-simplify]: Simplify 0 into 0 15.470 * [backup-simplify]: Simplify 1 into 1 15.470 * [backup-simplify]: Simplify (* 1 1) into 1 15.470 * [backup-simplify]: Simplify (/ 1 1) into 1 15.470 * [backup-simplify]: Simplify 1 into 1 15.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.471 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 15.471 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 15.471 * [taylor]: Taking taylor expansion of 0 in a 15.471 * [backup-simplify]: Simplify 0 into 0 15.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.472 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.473 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 15.473 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 15.473 * [taylor]: Taking taylor expansion of 0 in a 15.473 * [backup-simplify]: Simplify 0 into 0 15.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.474 * [backup-simplify]: Simplify 0 into 0 15.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.475 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 15.476 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 15.476 * [taylor]: Taking taylor expansion of 0 in a 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.477 * [backup-simplify]: Simplify 0 into 0 15.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 15.478 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 15.479 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 15.479 * [taylor]: Taking taylor expansion of 0 in a 15.479 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 a) b) 2)) into (/ (pow b 2) (pow a 2)) 15.479 * [backup-simplify]: Simplify (/ (/ 1 b) (* (/ 1 a) (/ (/ 1 a) (/ 1 b)))) into (/ (pow a 2) (pow b 2)) 15.479 * [approximate]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in (b a) around 0 15.479 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in a 15.479 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.479 * [taylor]: Taking taylor expansion of a in a 15.479 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify 1 into 1 15.479 * [taylor]: Taking taylor expansion of (pow b 2) in a 15.479 * [taylor]: Taking taylor expansion of b in a 15.480 * [backup-simplify]: Simplify b into b 15.480 * [backup-simplify]: Simplify (* 1 1) into 1 15.480 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.480 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 15.480 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 15.480 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.480 * [taylor]: Taking taylor expansion of a in b 15.480 * [backup-simplify]: Simplify a into a 15.480 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.480 * [taylor]: Taking taylor expansion of b in b 15.480 * [backup-simplify]: Simplify 0 into 0 15.480 * [backup-simplify]: Simplify 1 into 1 15.480 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.480 * [backup-simplify]: Simplify (* 1 1) into 1 15.480 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 15.480 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 15.480 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.480 * [taylor]: Taking taylor expansion of a in b 15.481 * [backup-simplify]: Simplify a into a 15.481 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.481 * [taylor]: Taking taylor expansion of b in b 15.481 * [backup-simplify]: Simplify 0 into 0 15.481 * [backup-simplify]: Simplify 1 into 1 15.481 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.481 * [backup-simplify]: Simplify (* 1 1) into 1 15.481 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 15.481 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.481 * [taylor]: Taking taylor expansion of a in a 15.481 * [backup-simplify]: Simplify 0 into 0 15.481 * [backup-simplify]: Simplify 1 into 1 15.481 * [backup-simplify]: Simplify (* 1 1) into 1 15.481 * [backup-simplify]: Simplify 1 into 1 15.481 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 15.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)))) into 0 15.482 * [taylor]: Taking taylor expansion of 0 in a 15.482 * [backup-simplify]: Simplify 0 into 0 15.482 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.483 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 15.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.485 * [taylor]: Taking taylor expansion of 0 in a 15.485 * [backup-simplify]: Simplify 0 into 0 15.485 * [backup-simplify]: Simplify 0 into 0 15.485 * [backup-simplify]: Simplify 0 into 0 15.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.485 * [backup-simplify]: Simplify 0 into 0 15.486 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 15.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.488 * [taylor]: Taking taylor expansion of 0 in a 15.488 * [backup-simplify]: Simplify 0 into 0 15.488 * [backup-simplify]: Simplify 0 into 0 15.488 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 a) (/ 1 (/ 1 b))) 2)) into (/ (pow b 2) (pow a 2)) 15.488 * [backup-simplify]: Simplify (/ (/ 1 (- b)) (* (/ 1 (- a)) (/ (/ 1 (- a)) (/ 1 (- b))))) into (/ (pow a 2) (pow b 2)) 15.488 * [approximate]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in (b a) around 0 15.488 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in a 15.488 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.488 * [taylor]: Taking taylor expansion of a in a 15.488 * [backup-simplify]: Simplify 0 into 0 15.488 * [backup-simplify]: Simplify 1 into 1 15.488 * [taylor]: Taking taylor expansion of (pow b 2) in a 15.488 * [taylor]: Taking taylor expansion of b in a 15.488 * [backup-simplify]: Simplify b into b 15.488 * [backup-simplify]: Simplify (* 1 1) into 1 15.489 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.489 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 15.489 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 15.489 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.489 * [taylor]: Taking taylor expansion of a in b 15.489 * [backup-simplify]: Simplify a into a 15.489 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.489 * [taylor]: Taking taylor expansion of b in b 15.489 * [backup-simplify]: Simplify 0 into 0 15.489 * [backup-simplify]: Simplify 1 into 1 15.489 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.489 * [backup-simplify]: Simplify (* 1 1) into 1 15.489 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 15.489 * [taylor]: Taking taylor expansion of (/ (pow a 2) (pow b 2)) in b 15.489 * [taylor]: Taking taylor expansion of (pow a 2) in b 15.489 * [taylor]: Taking taylor expansion of a in b 15.489 * [backup-simplify]: Simplify a into a 15.489 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.489 * [taylor]: Taking taylor expansion of b in b 15.489 * [backup-simplify]: Simplify 0 into 0 15.489 * [backup-simplify]: Simplify 1 into 1 15.489 * [backup-simplify]: Simplify (* a a) into (pow a 2) 15.490 * [backup-simplify]: Simplify (* 1 1) into 1 15.490 * [backup-simplify]: Simplify (/ (pow a 2) 1) into (pow a 2) 15.490 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.490 * [taylor]: Taking taylor expansion of a in a 15.490 * [backup-simplify]: Simplify 0 into 0 15.490 * [backup-simplify]: Simplify 1 into 1 15.490 * [backup-simplify]: Simplify (* 1 1) into 1 15.490 * [backup-simplify]: Simplify 1 into 1 15.490 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 15.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)))) into 0 15.491 * [taylor]: Taking taylor expansion of 0 in a 15.491 * [backup-simplify]: Simplify 0 into 0 15.491 * [backup-simplify]: Simplify 0 into 0 15.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.492 * [backup-simplify]: Simplify 0 into 0 15.492 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 15.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.494 * [taylor]: Taking taylor expansion of 0 in a 15.494 * [backup-simplify]: Simplify 0 into 0 15.494 * [backup-simplify]: Simplify 0 into 0 15.494 * [backup-simplify]: Simplify 0 into 0 15.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.494 * [backup-simplify]: Simplify 0 into 0 15.495 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 15.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow a 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.497 * [taylor]: Taking taylor expansion of 0 in a 15.497 * [backup-simplify]: Simplify 0 into 0 15.497 * [backup-simplify]: Simplify 0 into 0 15.497 * [backup-simplify]: Simplify (* 1 (pow (* (/ 1 (- a)) (/ 1 (/ 1 (- b)))) 2)) into (/ (pow b 2) (pow a 2)) 15.497 * * * [progress]: simplifying candidates 15.498 * [simplify]: Simplifying: (* a (/ a b)) (+ (log a) (- (log a) (log b))) (+ (log a) (log (/ a b))) (log (* a (/ a b))) (exp (* a (/ a b))) (* (* (* a a) a) (/ (* (* a a) a) (* (* b b) b))) (* (* (* a a) a) (* (* (/ a b) (/ a b)) (/ a b))) (* (cbrt (* a (/ a b))) (cbrt (* a (/ a b)))) (cbrt (* a (/ a b))) (* (* (* a (/ a b)) (* a (/ a b))) (* a (/ a b))) (sqrt (* a (/ a b))) (sqrt (* a (/ a b))) (* (sqrt a) (sqrt (/ a b))) (* (sqrt a) (sqrt (/ a b))) (* (sqrt a) (/ (sqrt a) (sqrt b))) (* (sqrt a) (/ (sqrt a) (sqrt b))) (* a (* (cbrt (/ a b)) (cbrt (/ a b)))) (* a (sqrt (/ a b))) (* a (/ (* (cbrt a) (cbrt a)) (* (cbrt b) (cbrt b)))) (* a (/ (* (cbrt a) (cbrt a)) (sqrt b))) (* a (/ (* (cbrt a) (cbrt a)) 1)) (* a (/ (sqrt a) (* (cbrt b) (cbrt b)))) (* a (/ (sqrt a) (sqrt b))) (* a (/ (sqrt a) 1)) (* a (/ 1 (* (cbrt b) (cbrt b)))) (* a (/ 1 (sqrt b))) (* a (/ 1 1)) (* a 1) (* a a) (* (cbrt a) (/ a b)) (* (sqrt a) (/ a b)) (* a (/ a b)) (* a a) (- (log b) (+ (log a) (- (log a) (log b)))) (- (log b) (+ (log a) (log (/ a b)))) (- (log b) (log (* a (/ a b)))) (log (/ b (* a (/ a b)))) (exp (/ b (* a (/ a b)))) (/ (* (* b b) b) (* (* (* a a) a) (/ (* (* a a) a) (* (* b b) b)))) (/ (* (* b b) b) (* (* (* a a) a) (* (* (/ a b) (/ a b)) (/ a b)))) (/ (* (* b b) b) (* (* (* a (/ a b)) (* a (/ a b))) (* a (/ a b)))) (* (cbrt (/ b (* a (/ a b)))) (cbrt (/ b (* a (/ a b))))) (cbrt (/ b (* a (/ a b)))) (* (* (/ b (* a (/ a b))) (/ b (* a (/ a b)))) (/ b (* a (/ a b)))) (sqrt (/ b (* a (/ a b)))) (sqrt (/ b (* a (/ a b)))) (- b) (- (* a (/ a b))) (/ (* (cbrt b) (cbrt b)) a) (/ (cbrt b) (/ a b)) (/ (sqrt b) a) (/ (sqrt b) (/ a b)) (/ 1 a) (/ b (/ a b)) (/ 1 (* a (/ a b))) (/ (* a (/ a b)) b) (/ b a) (/ (* a (/ a b)) (cbrt b)) (/ (* a (/ a b)) (sqrt b)) (/ (* a (/ a b)) b) (/ b (* a a)) (/ (pow a 2) b) (/ (pow a 2) b) (/ (pow a 2) b) (/ (pow b 2) (pow a 2)) (/ (pow b 2) (pow a 2)) (/ (pow b 2) (pow a 2)) 15.499 * * [simplify]: Extracting # 0 : cost 0 15.499 * * [simplify]: Extracting # 1 : cost 0 15.499 * * [simplify]: Extracting # 2 : cost 0 15.499 * * [simplify]: Extracting # 3 : cost 0 15.500 * * [simplify]: Extracting # 4 : cost 0 15.500 * * [simplify]: Extracting # 5 : cost 0 15.500 * * [simplify]: iteration 0 : 94 enodes (cost 561 ) 15.536 * * [simplify]: Extracting # 0 : cost 0 15.536 * * [simplify]: Extracting # 1 : cost 0 15.536 * * [simplify]: Extracting # 2 : cost 0 15.537 * * [simplify]: iteration 1 : 229 enodes (cost 538 ) 15.644 * * [simplify]: Extracting # 0 : cost 0 15.645 * * [simplify]: Extracting # 1 : cost 0 15.646 * * [simplify]: Extracting # 2 : cost 0 15.647 * * [simplify]: Extracting # 3 : cost 0 15.647 * * [simplify]: Extracting # 4 : cost 0 15.648 * * [simplify]: iteration 2 : 668 enodes (cost 444 ) 16.872 * * [simplify]: Extracting # 0 : cost 0 16.874 * * [simplify]: Extracting # 1 : cost 0 16.876 * * [simplify]: Extracting # 2 : cost 0 16.878 * * [simplify]: Extracting # 3 : cost 0 16.880 * * [simplify]: Extracting # 4 : cost 0 16.881 * * [simplify]: iteration 3 : 2169 enodes (cost 434 ) 20.884 * * [simplify]: Extracting # 0 : cost 0 20.902 * * [simplify]: Extracting # 1 : cost 0 20.911 * * [simplify]: Extracting # 2 : cost 0 20.918 * * [simplify]: Extracting # 3 : cost 0 20.933 * * [simplify]: Extracting # 4 : cost 0 20.941 * * [simplify]: iteration done: 5000 enodes (cost 410 ) 20.942 * [simplify]: Simplified to: (/ (pow a 2) b) (log (/ (pow a 2) b)) (log (/ (pow a 2) b)) (log (/ (pow a 2) b)) (exp (* a (/ a b))) (pow (/ (pow a 2) b) 3) (pow (/ (pow a 2) b) 3) (* (cbrt (* a (/ a b))) (cbrt (* a (/ a b)))) (cbrt (* a (/ a b))) (pow (/ (pow a 2) b) 3) (sqrt (* a (/ a b))) (sqrt (* a (/ a b))) (* (sqrt a) (sqrt (/ a b))) (* (sqrt a) (sqrt (/ a b))) (/ a (sqrt b)) (/ a (sqrt b)) (* a (* (cbrt (/ a b)) (cbrt (/ a b)))) (* a (sqrt (/ a b))) (* a (/ (* (cbrt a) (cbrt a)) (* (cbrt b) (cbrt b)))) (* a (/ (* (cbrt a) (cbrt a)) (sqrt b))) (* (* (cbrt a) (cbrt a)) a) (* a (/ (sqrt a) (* (cbrt b) (cbrt b)))) (* a (/ (sqrt a) (sqrt b))) (* (sqrt a) a) (/ a (* (cbrt b) (cbrt b))) (/ a (sqrt b)) a a (* a a) (* (cbrt a) (/ a b)) (* (sqrt a) (/ a b)) (/ (pow a 2) b) (* a a) (* 2 (log (/ b a))) (* 2 (log (/ b a))) (* 2 (log (/ b a))) (* 2 (log (/ b a))) (exp (/ b (* a (/ a b)))) (pow (/ b a) 6) (pow (/ b a) 6) (pow (/ b a) 6) (* (cbrt (/ b (* a (/ a b)))) (cbrt (/ b (* a (/ a b))))) (cbrt (/ b (* a (/ a b)))) (pow (/ b a) 6) (fabs (/ b a)) (fabs (/ b a)) (- b) (- (* a (/ a b))) (* (/ (cbrt b) a) (cbrt b)) (/ (cbrt b) (/ a b)) (/ (sqrt b) a) (/ (sqrt b) (/ a b)) (/ 1 a) (/ b (/ a b)) (/ (/ b a) a) (/ (* a a) (* b b)) (/ b a) (/ (* a (/ a b)) (cbrt b)) (/ (* a (/ a b)) (sqrt b)) (/ (* a a) (* b b)) (/ (/ b a) a) (/ (pow a 2) b) (/ (pow a 2) b) (/ (pow a 2) b) (/ b (* a (/ a b))) (/ b (* a (/ a b))) (/ b (* a (/ a b))) 20.942 * * * [progress]: adding candidates to table 21.168 * [progress]: [Phase 3 of 3] Extracting. 21.172 * [simplify]: Simplifying: (sqrt (fabs (- 1 (/ b (* a (/ a b)))))) 21.172 * * [simplify]: Extracting # 0 : cost 0 21.172 * * [simplify]: Extracting # 1 : cost 0 21.172 * * [simplify]: Extracting # 2 : cost 0 21.172 * * [simplify]: Extracting # 3 : cost 0 21.173 * * [simplify]: Extracting # 4 : cost 0 21.173 * * [simplify]: Extracting # 5 : cost 0 21.173 * * [simplify]: Extracting # 6 : cost 0 21.173 * * [simplify]: Extracting # 7 : cost 0 21.173 * * [simplify]: iteration 0 : 9 enodes (cost 11 ) 21.174 * * [simplify]: Extracting # 0 : cost 0 21.174 * * [simplify]: iteration 1 : 12 enodes (cost 11 ) 21.175 * * [simplify]: Extracting # 0 : cost 0 21.175 * * [simplify]: iteration done: 12 enodes (cost 11 ) 21.175 * [simplify]: Simplified to: (sqrt (fabs (- 1 (/ b (* a (/ a b)))))) 22.830 * [regime-testing]: End program error score: 0.011876484560570071