47.455 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.101 * * * [progress]: [2/2] Setting up program. 0.126 * [progress]: [Phase 2 of 3] Improving. 0.126 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.126 * [simplify]: Simplifying: (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 0.126 * * [simplify]: iteration 1: (16 enodes) 0.134 * * [simplify]: iteration 2: (32 enodes) 0.147 * * [simplify]: iteration 3: (87 enodes) 0.176 * * [simplify]: iteration 4: (200 enodes) 0.280 * * [simplify]: iteration 5: (612 enodes) 1.094 * * [simplify]: iteration 6: (1684 enodes) 2.471 * * [simplify]: Extracting #0: cost 1 inf + 0 2.471 * * [simplify]: Extracting #1: cost 5 inf + 0 2.471 * * [simplify]: Extracting #2: cost 54 inf + 1 2.473 * * [simplify]: Extracting #3: cost 121 inf + 486 2.482 * * [simplify]: Extracting #4: cost 84 inf + 3042 2.488 * * [simplify]: Extracting #5: cost 46 inf + 10786 2.498 * * [simplify]: Extracting #6: cost 3 inf + 21091 2.509 * * [simplify]: Extracting #7: cost 0 inf + 21748 2.519 * [simplify]: Simplified to: (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2))) 2.527 * * [progress]: iteration 1 / 4 2.527 * * * [progress]: picking best candidate 2.536 * * * * [pick]: Picked # 2.536 * * * [progress]: localizing error 2.583 * * * [progress]: generating rewritten candidates 2.583 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.596 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.622 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.645 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.660 * * * [progress]: generating series expansions 2.660 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.661 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (* v v) PI))) into (/ 4/3 (- PI (* (pow v 2) PI))) 2.661 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in (v) around 0 2.661 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 2.661 * [taylor]: Taking taylor expansion of 4/3 in v 2.661 * [backup-simplify]: Simplify 4/3 into 4/3 2.661 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 2.661 * [taylor]: Taking taylor expansion of PI in v 2.661 * [backup-simplify]: Simplify PI into PI 2.661 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.661 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.661 * [taylor]: Taking taylor expansion of v in v 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.661 * [taylor]: Taking taylor expansion of PI in v 2.661 * [backup-simplify]: Simplify PI into PI 2.662 * [backup-simplify]: Simplify (+ PI 0) into PI 2.663 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 2.663 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (* (pow v 2) PI))) in v 2.663 * [taylor]: Taking taylor expansion of 4/3 in v 2.663 * [backup-simplify]: Simplify 4/3 into 4/3 2.663 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 2.663 * [taylor]: Taking taylor expansion of PI in v 2.663 * [backup-simplify]: Simplify PI into PI 2.663 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.663 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.663 * [taylor]: Taking taylor expansion of v in v 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [taylor]: Taking taylor expansion of PI in v 2.663 * [backup-simplify]: Simplify PI into PI 2.664 * [backup-simplify]: Simplify (+ PI 0) into PI 2.664 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 2.665 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.666 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 2.666 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify (* 1 1) into 1 2.667 * [backup-simplify]: Simplify (* 1 PI) into PI 2.667 * [backup-simplify]: Simplify (- PI) into (- PI) 2.668 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.675 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 2.676 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 2.678 * [backup-simplify]: Simplify (- 0) into 0 2.678 * [backup-simplify]: Simplify (+ 0 0) into 0 2.681 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 2.681 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 2.683 * [backup-simplify]: Simplify (- 0) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (* 4/3 (/ 1 PI)) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 2.694 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 2.696 * [backup-simplify]: Simplify (+ (* (/ 4/3 PI) (pow v 4)) (+ (* (/ 4/3 PI) (pow v 2)) (/ 4/3 PI))) into (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) 2.696 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (* (/ 1 v) (/ 1 v)) PI))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 2.696 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 2.696 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 2.696 * [taylor]: Taking taylor expansion of 4/3 in v 2.696 * [backup-simplify]: Simplify 4/3 into 4/3 2.696 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.696 * [taylor]: Taking taylor expansion of PI in v 2.696 * [backup-simplify]: Simplify PI into PI 2.696 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.696 * [taylor]: Taking taylor expansion of PI in v 2.696 * [backup-simplify]: Simplify PI into PI 2.697 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.697 * [taylor]: Taking taylor expansion of v in v 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (* 1 1) into 1 2.697 * [backup-simplify]: Simplify (/ PI 1) into PI 2.698 * [backup-simplify]: Simplify (- PI) into (- PI) 2.699 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.700 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 2.700 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 2.700 * [taylor]: Taking taylor expansion of 4/3 in v 2.700 * [backup-simplify]: Simplify 4/3 into 4/3 2.700 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.700 * [taylor]: Taking taylor expansion of PI in v 2.700 * [backup-simplify]: Simplify PI into PI 2.700 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.700 * [taylor]: Taking taylor expansion of PI in v 2.700 * [backup-simplify]: Simplify PI into PI 2.700 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.700 * [taylor]: Taking taylor expansion of v in v 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.700 * [backup-simplify]: Simplify (* 1 1) into 1 2.701 * [backup-simplify]: Simplify (/ PI 1) into PI 2.701 * [backup-simplify]: Simplify (- PI) into (- PI) 2.702 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.703 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 2.708 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 2.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify (- 0) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify (- 0) into 0 2.716 * [backup-simplify]: Simplify (+ PI 0) into PI 2.723 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 2.725 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (- 0) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.731 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.733 * [backup-simplify]: Simplify (- 0) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 2.748 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 2.753 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 v) 4)) (* (/ -4/3 PI) (pow (/ 1 v) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 2.753 * [backup-simplify]: Simplify (/ 4/3 (- PI (* (* (/ 1 (- v)) (/ 1 (- v))) PI))) into (/ 4/3 (- PI (/ PI (pow v 2)))) 2.753 * [approximate]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in (v) around 0 2.753 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 2.753 * [taylor]: Taking taylor expansion of 4/3 in v 2.753 * [backup-simplify]: Simplify 4/3 into 4/3 2.753 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.753 * [taylor]: Taking taylor expansion of PI in v 2.753 * [backup-simplify]: Simplify PI into PI 2.753 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.754 * [taylor]: Taking taylor expansion of PI in v 2.754 * [backup-simplify]: Simplify PI into PI 2.754 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.754 * [taylor]: Taking taylor expansion of v in v 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (* 1 1) into 1 2.755 * [backup-simplify]: Simplify (/ PI 1) into PI 2.755 * [backup-simplify]: Simplify (- PI) into (- PI) 2.756 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.757 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 2.757 * [taylor]: Taking taylor expansion of (/ 4/3 (- PI (/ PI (pow v 2)))) in v 2.757 * [taylor]: Taking taylor expansion of 4/3 in v 2.757 * [backup-simplify]: Simplify 4/3 into 4/3 2.757 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.757 * [taylor]: Taking taylor expansion of PI in v 2.757 * [backup-simplify]: Simplify PI into PI 2.758 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.758 * [taylor]: Taking taylor expansion of PI in v 2.758 * [backup-simplify]: Simplify PI into PI 2.758 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.758 * [taylor]: Taking taylor expansion of v in v 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.759 * [backup-simplify]: Simplify (/ PI 1) into PI 2.759 * [backup-simplify]: Simplify (- PI) into (- PI) 2.760 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.761 * [backup-simplify]: Simplify (/ 4/3 (- PI)) into (/ -4/3 PI) 2.762 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))))) into 0 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify (+ PI 0) into PI 2.776 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 2.778 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (- PI))))) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (- 0) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.801 * [backup-simplify]: Simplify (- (/ 0 (- PI)) (+ (* (/ -4/3 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (* 4/3 (/ 1 PI))) 2.803 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 2.808 * [backup-simplify]: Simplify (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 6)) (+ (* (- (* 4/3 (/ 1 PI))) (pow (/ 1 (- v)) 4)) (* (/ -4/3 PI) (pow (/ 1 (- v)) 2)))) into (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 2.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.808 * [backup-simplify]: Simplify (* (* v v) PI) into (* (pow v 2) PI) 2.808 * [approximate]: Taking taylor expansion of (* (pow v 2) PI) in (v) around 0 2.808 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.808 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.808 * [taylor]: Taking taylor expansion of v in v 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [taylor]: Taking taylor expansion of PI in v 2.808 * [backup-simplify]: Simplify PI into PI 2.808 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.808 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.808 * [taylor]: Taking taylor expansion of v in v 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [taylor]: Taking taylor expansion of PI in v 2.808 * [backup-simplify]: Simplify PI into PI 2.809 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (* 1 PI) into PI 2.810 * [backup-simplify]: Simplify PI into PI 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.822 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (* PI (pow v 2)) into (* (pow v 2) PI) 2.827 * [backup-simplify]: Simplify (* (* (/ 1 v) (/ 1 v)) PI) into (/ PI (pow v 2)) 2.827 * [approximate]: Taking taylor expansion of (/ PI (pow v 2)) in (v) around 0 2.827 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.827 * [taylor]: Taking taylor expansion of PI in v 2.827 * [backup-simplify]: Simplify PI into PI 2.827 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.827 * [taylor]: Taking taylor expansion of v in v 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (/ PI 1) into PI 2.828 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.828 * [taylor]: Taking taylor expansion of PI in v 2.828 * [backup-simplify]: Simplify PI into PI 2.828 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.828 * [taylor]: Taking taylor expansion of v in v 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (* 1 1) into 1 2.829 * [backup-simplify]: Simplify (/ PI 1) into PI 2.829 * [backup-simplify]: Simplify PI into PI 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (* PI (pow (/ 1 (/ 1 v)) 2)) into (* (pow v 2) PI) 2.845 * [backup-simplify]: Simplify (* (* (/ 1 (- v)) (/ 1 (- v))) PI) into (/ PI (pow v 2)) 2.845 * [approximate]: Taking taylor expansion of (/ PI (pow v 2)) in (v) around 0 2.845 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.845 * [taylor]: Taking taylor expansion of PI in v 2.845 * [backup-simplify]: Simplify PI into PI 2.845 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.845 * [taylor]: Taking taylor expansion of v in v 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (* 1 1) into 1 2.846 * [backup-simplify]: Simplify (/ PI 1) into PI 2.846 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.846 * [taylor]: Taking taylor expansion of PI in v 2.846 * [backup-simplify]: Simplify PI into PI 2.846 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.846 * [taylor]: Taking taylor expansion of v in v 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (* 1 1) into 1 2.847 * [backup-simplify]: Simplify (/ PI 1) into PI 2.847 * [backup-simplify]: Simplify PI into PI 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (* PI (pow (/ 1 (/ 1 (- v))) 2)) into (* (pow v 2) PI) 2.856 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.856 * [backup-simplify]: Simplify (/ (/ 4/3 (- PI (* (* v v) PI))) (sqrt (fma -6 (* v v) 2))) into (* 4/3 (* (/ 1 (- PI (* (pow v 2) PI))) (sqrt (/ 1 (fma -6 (pow v 2) 2))))) 2.856 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (* (pow v 2) PI))) (sqrt (/ 1 (fma -6 (pow v 2) 2))))) in (v) around 0 2.856 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (* (pow v 2) PI))) (sqrt (/ 1 (fma -6 (pow v 2) 2))))) in v 2.856 * [taylor]: Taking taylor expansion of 4/3 in v 2.856 * [backup-simplify]: Simplify 4/3 into 4/3 2.856 * [taylor]: Taking taylor expansion of (* (/ 1 (- PI (* (pow v 2) PI))) (sqrt (/ 1 (fma -6 (pow v 2) 2)))) in v 2.856 * [taylor]: Taking taylor expansion of (/ 1 (- PI (* (pow v 2) PI))) in v 2.857 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 2.857 * [taylor]: Taking taylor expansion of PI in v 2.857 * [backup-simplify]: Simplify PI into PI 2.857 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.857 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.857 * [taylor]: Taking taylor expansion of v in v 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [taylor]: Taking taylor expansion of PI in v 2.857 * [backup-simplify]: Simplify PI into PI 2.857 * [backup-simplify]: Simplify (+ PI 0) into PI 2.860 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 2.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -6 (pow v 2) 2))) in v 2.860 * [taylor]: Taking taylor expansion of (/ 1 (fma -6 (pow v 2) 2)) in v 2.860 * [taylor]: Taking taylor expansion of (fma -6 (pow v 2) 2) in v 2.860 * [taylor]: Rewrote expression to (+ (* -6 (pow v 2)) 2) 2.860 * [taylor]: Taking taylor expansion of (* -6 (pow v 2)) in v 2.860 * [taylor]: Taking taylor expansion of -6 in v 2.860 * [backup-simplify]: Simplify -6 into -6 2.860 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.860 * [taylor]: Taking taylor expansion of v in v 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of 2 in v 2.860 * [backup-simplify]: Simplify 2 into 2 2.861 * [backup-simplify]: Simplify (+ 0 2) into 2 2.861 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.861 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 2.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.862 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (* (pow v 2) PI))) (sqrt (/ 1 (fma -6 (pow v 2) 2))))) in v 2.862 * [taylor]: Taking taylor expansion of 4/3 in v 2.862 * [backup-simplify]: Simplify 4/3 into 4/3 2.862 * [taylor]: Taking taylor expansion of (* (/ 1 (- PI (* (pow v 2) PI))) (sqrt (/ 1 (fma -6 (pow v 2) 2)))) in v 2.862 * [taylor]: Taking taylor expansion of (/ 1 (- PI (* (pow v 2) PI))) in v 2.862 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 2.862 * [taylor]: Taking taylor expansion of PI in v 2.862 * [backup-simplify]: Simplify PI into PI 2.862 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 2.862 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.862 * [taylor]: Taking taylor expansion of v in v 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [taylor]: Taking taylor expansion of PI in v 2.863 * [backup-simplify]: Simplify PI into PI 2.863 * [backup-simplify]: Simplify (+ PI 0) into PI 2.863 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 2.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -6 (pow v 2) 2))) in v 2.863 * [taylor]: Taking taylor expansion of (/ 1 (fma -6 (pow v 2) 2)) in v 2.863 * [taylor]: Taking taylor expansion of (fma -6 (pow v 2) 2) in v 2.863 * [taylor]: Rewrote expression to (+ (* -6 (pow v 2)) 2) 2.863 * [taylor]: Taking taylor expansion of (* -6 (pow v 2)) in v 2.863 * [taylor]: Taking taylor expansion of -6 in v 2.863 * [backup-simplify]: Simplify -6 into -6 2.863 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.863 * [taylor]: Taking taylor expansion of v in v 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [taylor]: Taking taylor expansion of 2 in v 2.863 * [backup-simplify]: Simplify 2 into 2 2.864 * [backup-simplify]: Simplify (+ 0 2) into 2 2.864 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.864 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 2.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.866 * [backup-simplify]: Simplify (* (/ 1 PI) (sqrt 1/2)) into (/ (sqrt 1/2) PI) 2.867 * [backup-simplify]: Simplify (* 4/3 (/ (sqrt 1/2) PI)) into (* 4/3 (/ (sqrt 1/2) PI)) 2.868 * [backup-simplify]: Simplify (* 4/3 (/ (sqrt 1/2) PI)) into (* 4/3 (/ (sqrt 1/2) PI)) 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 2.870 * [backup-simplify]: Simplify (+ (* (/ 1 PI) 0) (* 0 (sqrt 1/2))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (/ (sqrt 1/2) PI))) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify (* 1 1) into 1 2.871 * [backup-simplify]: Simplify (* -6 1) into -6 2.871 * [backup-simplify]: Simplify (+ -6 0) into -6 2.872 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -6 2)) (* 0 (/ 0 2)))) into 3/2 2.874 * [backup-simplify]: Simplify (/ (- 3/2 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ 3/4 (sqrt 1/2)) 2.874 * [backup-simplify]: Simplify (* 1 1) into 1 2.874 * [backup-simplify]: Simplify (* 1 PI) into PI 2.875 * [backup-simplify]: Simplify (- PI) into (- PI) 2.876 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.879 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 2.883 * [backup-simplify]: Simplify (+ (* (/ 1 PI) (/ 3/4 (sqrt 1/2))) (+ (* 0 0) (* (/ 1 PI) (sqrt 1/2)))) into (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) 2.892 * [backup-simplify]: Simplify (+ (* 4/3 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI)))) into (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) 2.897 * [backup-simplify]: Simplify (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) into (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) 2.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.899 * [backup-simplify]: Simplify (+ (* -6 0) (* 0 1)) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ -6 2)) (* 3/2 (/ 0 2)))) into 0 2.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/4 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 2.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 2.904 * [backup-simplify]: Simplify (- 0) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 2.908 * [backup-simplify]: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 (/ 3/4 (sqrt 1/2))) (+ (* (/ 1 PI) 0) (* 0 (sqrt 1/2))))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI))))) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.914 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 3/2 (/ -6 2)) (* 0 (/ 0 2)))) into 9/2 2.923 * [backup-simplify]: Simplify (/ (- 9/2 (pow (/ 3/4 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 2.924 * [backup-simplify]: Simplify (- 0) into 0 2.924 * [backup-simplify]: Simplify (+ 0 0) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 2.942 * [backup-simplify]: Simplify (+ (* (/ 1 PI) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* (/ 1 PI) (/ 3/4 (sqrt 1/2))) (+ (* 0 0) (* (/ 1 PI) (sqrt 1/2)))))) into (- (+ (* 3 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) (* 9/32 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 2.959 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 3 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) (* 9/32 (/ 1 (* PI (pow (sqrt 1/2) 3)))))) (+ (* 0 0) (+ (* 0 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI)))))) into (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 2.977 * [backup-simplify]: Simplify (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) into (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 2.997 * [backup-simplify]: Simplify (+ (* (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) (pow v 4)) (+ (* (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) (pow v 2)) (* 4/3 (/ (sqrt 1/2) PI)))) into (- (+ (* 4 (/ (pow v 4) (* PI (sqrt 1/2)))) (+ (/ (pow v 2) (* PI (sqrt 1/2))) (+ (* 4/3 (/ (sqrt 1/2) PI)) (+ (* 4/3 (/ (* (pow v 2) (sqrt 1/2)) PI)) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) PI)))))) (* 3/8 (/ (pow v 4) (* PI (pow (sqrt 1/2) 3))))) 2.998 * [backup-simplify]: Simplify (/ (/ 4/3 (- PI (* (* (/ 1 v) (/ 1 v)) PI))) (sqrt (fma -6 (* (/ 1 v) (/ 1 v)) 2))) into (* 4/3 (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))))) 2.998 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))))) in (v) around 0 2.998 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))))) in v 2.998 * [taylor]: Taking taylor expansion of 4/3 in v 2.998 * [backup-simplify]: Simplify 4/3 into 4/3 2.998 * [taylor]: Taking taylor expansion of (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2)))) in v 2.998 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 2.998 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 2.998 * [taylor]: Taking taylor expansion of PI in v 2.998 * [backup-simplify]: Simplify PI into PI 2.998 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 2.998 * [taylor]: Taking taylor expansion of PI in v 2.998 * [backup-simplify]: Simplify PI into PI 2.998 * [taylor]: Taking taylor expansion of (pow v 2) in v 2.998 * [taylor]: Taking taylor expansion of v in v 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.999 * [backup-simplify]: Simplify (/ PI 1) into PI 3.000 * [backup-simplify]: Simplify (- PI) into (- PI) 3.001 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 3.002 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 3.002 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))) in v 3.002 * [taylor]: Taking taylor expansion of (/ 1 (fma -6 (/ 1 (pow v 2)) 2)) in v 3.002 * [taylor]: Taking taylor expansion of (fma -6 (/ 1 (pow v 2)) 2) in v 3.002 * [taylor]: Rewrote expression to (+ (* -6 (/ 1 (pow v 2))) 2) 3.002 * [taylor]: Taking taylor expansion of (* -6 (/ 1 (pow v 2))) in v 3.002 * [taylor]: Taking taylor expansion of -6 in v 3.002 * [backup-simplify]: Simplify -6 into -6 3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.002 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.002 * [taylor]: Taking taylor expansion of v in v 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (* 1 1) into 1 3.003 * [backup-simplify]: Simplify (/ 1 1) into 1 3.003 * [taylor]: Taking taylor expansion of 2 in v 3.003 * [backup-simplify]: Simplify 2 into 2 3.003 * [backup-simplify]: Simplify (* -6 1) into -6 3.004 * [backup-simplify]: Simplify (+ -6 0) into -6 3.004 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 3.005 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 3.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (+ (* -6 0) (* 0 1)) into 0 3.007 * [backup-simplify]: Simplify (+ 0 0) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 3.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 3.009 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))))) in v 3.009 * [taylor]: Taking taylor expansion of 4/3 in v 3.009 * [backup-simplify]: Simplify 4/3 into 4/3 3.009 * [taylor]: Taking taylor expansion of (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2)))) in v 3.009 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 3.009 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 3.009 * [taylor]: Taking taylor expansion of PI in v 3.009 * [backup-simplify]: Simplify PI into PI 3.009 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 3.009 * [taylor]: Taking taylor expansion of PI in v 3.009 * [backup-simplify]: Simplify PI into PI 3.009 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.009 * [taylor]: Taking taylor expansion of v in v 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (* 1 1) into 1 3.010 * [backup-simplify]: Simplify (/ PI 1) into PI 3.011 * [backup-simplify]: Simplify (- PI) into (- PI) 3.011 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 3.012 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 3.012 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))) in v 3.012 * [taylor]: Taking taylor expansion of (/ 1 (fma -6 (/ 1 (pow v 2)) 2)) in v 3.013 * [taylor]: Taking taylor expansion of (fma -6 (/ 1 (pow v 2)) 2) in v 3.013 * [taylor]: Rewrote expression to (+ (* -6 (/ 1 (pow v 2))) 2) 3.013 * [taylor]: Taking taylor expansion of (* -6 (/ 1 (pow v 2))) in v 3.013 * [taylor]: Taking taylor expansion of -6 in v 3.013 * [backup-simplify]: Simplify -6 into -6 3.013 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.013 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.013 * [taylor]: Taking taylor expansion of v in v 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (* 1 1) into 1 3.014 * [backup-simplify]: Simplify (/ 1 1) into 1 3.014 * [taylor]: Taking taylor expansion of 2 in v 3.014 * [backup-simplify]: Simplify 2 into 2 3.014 * [backup-simplify]: Simplify (* -6 1) into -6 3.014 * [backup-simplify]: Simplify (+ -6 0) into -6 3.015 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 3.015 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 3.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (+ (* -6 0) (* 0 1)) into 0 3.018 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 3.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 3.022 * [backup-simplify]: Simplify (* (/ -1 PI) (sqrt -1/6)) into (* -1 (/ (sqrt -1/6) PI)) 3.024 * [backup-simplify]: Simplify (* 4/3 (* -1 (/ (sqrt -1/6) PI))) into (* -4/3 (/ (sqrt -1/6) PI)) 3.026 * [backup-simplify]: Simplify (* -4/3 (/ (sqrt -1/6) PI)) into (* -4/3 (/ (sqrt -1/6) PI)) 3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.028 * [backup-simplify]: Simplify (- 0) into 0 3.028 * [backup-simplify]: Simplify (+ 0 0) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 3.030 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (* 0 (sqrt -1/6))) into 0 3.032 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))) into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 2) into 2 3.036 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/18 3.039 * [backup-simplify]: Simplify (/ (- -1/18 (pow 0 2) (+)) (* 2 (sqrt -1/6))) into (/ -1/36 (sqrt -1/6)) 3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (- 0) into 0 3.042 * [backup-simplify]: Simplify (+ PI 0) into PI 3.047 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 3.055 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))) into (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI)) 3.066 * [backup-simplify]: Simplify (+ (* 4/3 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 3.072 * [backup-simplify]: Simplify (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ 0 0) into 0 3.077 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 2 -6)) (* -1/18 (/ 0 -6)))) into 0 3.079 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/36 (sqrt -1/6)))))) (* 2 (sqrt -1/6))) into 0 3.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (- 0) into 0 3.082 * [backup-simplify]: Simplify (+ 0 0) into 0 3.085 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ 1 PI)) (/ 0 (- PI))))) into 0 3.088 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (/ -1/36 (sqrt -1/6))) (+ (* (- (/ 1 PI)) 0) (* 0 (sqrt -1/6))))) into 0 3.092 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))))) into 0 3.092 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.098 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 0 -6)) (* -1/18 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/54 3.104 * [backup-simplify]: Simplify (/ (- -1/54 (pow (/ -1/36 (sqrt -1/6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1/6))) into (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6))) 3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- 0) into 0 3.108 * [backup-simplify]: Simplify (+ 0 0) into 0 3.122 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ 1 PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 3.151 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6)))) (+ (* 0 0) (+ (* (- (/ 1 PI)) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))))) into (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI)) 3.166 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 3.174 * [backup-simplify]: Simplify (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 3.188 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 v) 7)) (+ (* (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 v) 5)) (* (* -4/3 (/ (sqrt -1/6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6))))))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI)))))) 3.188 * [backup-simplify]: Simplify (/ (/ 4/3 (- PI (* (* (/ 1 (- v)) (/ 1 (- v))) PI))) (sqrt (fma -6 (* (/ 1 (- v)) (/ 1 (- v))) 2))) into (* 4/3 (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))))) 3.188 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))))) in (v) around 0 3.189 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))))) in v 3.189 * [taylor]: Taking taylor expansion of 4/3 in v 3.189 * [backup-simplify]: Simplify 4/3 into 4/3 3.189 * [taylor]: Taking taylor expansion of (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2)))) in v 3.189 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 3.189 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 3.189 * [taylor]: Taking taylor expansion of PI in v 3.189 * [backup-simplify]: Simplify PI into PI 3.189 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 3.189 * [taylor]: Taking taylor expansion of PI in v 3.189 * [backup-simplify]: Simplify PI into PI 3.189 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.189 * [taylor]: Taking taylor expansion of v in v 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 1 into 1 3.189 * [backup-simplify]: Simplify (* 1 1) into 1 3.190 * [backup-simplify]: Simplify (/ PI 1) into PI 3.190 * [backup-simplify]: Simplify (- PI) into (- PI) 3.191 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 3.192 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 3.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))) in v 3.192 * [taylor]: Taking taylor expansion of (/ 1 (fma -6 (/ 1 (pow v 2)) 2)) in v 3.193 * [taylor]: Taking taylor expansion of (fma -6 (/ 1 (pow v 2)) 2) in v 3.193 * [taylor]: Rewrote expression to (+ (* -6 (/ 1 (pow v 2))) 2) 3.193 * [taylor]: Taking taylor expansion of (* -6 (/ 1 (pow v 2))) in v 3.193 * [taylor]: Taking taylor expansion of -6 in v 3.193 * [backup-simplify]: Simplify -6 into -6 3.193 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.193 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.193 * [taylor]: Taking taylor expansion of v in v 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 1 into 1 3.193 * [backup-simplify]: Simplify (* 1 1) into 1 3.194 * [backup-simplify]: Simplify (/ 1 1) into 1 3.194 * [taylor]: Taking taylor expansion of 2 in v 3.194 * [backup-simplify]: Simplify 2 into 2 3.194 * [backup-simplify]: Simplify (* -6 1) into -6 3.195 * [backup-simplify]: Simplify (+ -6 0) into -6 3.195 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 3.195 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 3.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ (* -6 0) (* 0 1)) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 3.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 3.200 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))))) in v 3.200 * [taylor]: Taking taylor expansion of 4/3 in v 3.200 * [backup-simplify]: Simplify 4/3 into 4/3 3.200 * [taylor]: Taking taylor expansion of (* (/ 1 (- PI (/ PI (pow v 2)))) (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2)))) in v 3.200 * [taylor]: Taking taylor expansion of (/ 1 (- PI (/ PI (pow v 2)))) in v 3.200 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 3.200 * [taylor]: Taking taylor expansion of PI in v 3.200 * [backup-simplify]: Simplify PI into PI 3.200 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 3.200 * [taylor]: Taking taylor expansion of PI in v 3.200 * [backup-simplify]: Simplify PI into PI 3.200 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.200 * [taylor]: Taking taylor expansion of v in v 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (/ PI 1) into PI 3.201 * [backup-simplify]: Simplify (- PI) into (- PI) 3.202 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 3.204 * [backup-simplify]: Simplify (/ 1 (- PI)) into (/ -1 PI) 3.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fma -6 (/ 1 (pow v 2)) 2))) in v 3.204 * [taylor]: Taking taylor expansion of (/ 1 (fma -6 (/ 1 (pow v 2)) 2)) in v 3.204 * [taylor]: Taking taylor expansion of (fma -6 (/ 1 (pow v 2)) 2) in v 3.204 * [taylor]: Rewrote expression to (+ (* -6 (/ 1 (pow v 2))) 2) 3.204 * [taylor]: Taking taylor expansion of (* -6 (/ 1 (pow v 2))) in v 3.204 * [taylor]: Taking taylor expansion of -6 in v 3.204 * [backup-simplify]: Simplify -6 into -6 3.204 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 3.204 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.204 * [taylor]: Taking taylor expansion of v in v 3.204 * [backup-simplify]: Simplify 0 into 0 3.204 * [backup-simplify]: Simplify 1 into 1 3.204 * [backup-simplify]: Simplify (* 1 1) into 1 3.205 * [backup-simplify]: Simplify (/ 1 1) into 1 3.205 * [taylor]: Taking taylor expansion of 2 in v 3.205 * [backup-simplify]: Simplify 2 into 2 3.205 * [backup-simplify]: Simplify (* -6 1) into -6 3.206 * [backup-simplify]: Simplify (+ -6 0) into -6 3.207 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 3.207 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.209 * [backup-simplify]: Simplify (+ (* -6 0) (* 0 1)) into 0 3.210 * [backup-simplify]: Simplify (+ 0 0) into 0 3.210 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 3.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 3.213 * [backup-simplify]: Simplify (* (/ -1 PI) (sqrt -1/6)) into (* -1 (/ (sqrt -1/6) PI)) 3.216 * [backup-simplify]: Simplify (* 4/3 (* -1 (/ (sqrt -1/6) PI))) into (* -4/3 (/ (sqrt -1/6) PI)) 3.218 * [backup-simplify]: Simplify (* -4/3 (/ (sqrt -1/6) PI)) into (* -4/3 (/ (sqrt -1/6) PI)) 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (- 0) into 0 3.220 * [backup-simplify]: Simplify (+ 0 0) into 0 3.222 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))))) into 0 3.223 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (* 0 (sqrt -1/6))) into 0 3.225 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))) into 0 3.225 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.228 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (* 0 1))) into 0 3.228 * [backup-simplify]: Simplify (+ 0 2) into 2 3.230 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/18 3.233 * [backup-simplify]: Simplify (/ (- -1/18 (pow 0 2) (+)) (* 2 (sqrt -1/6))) into (/ -1/36 (sqrt -1/6)) 3.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (- 0) into 0 3.236 * [backup-simplify]: Simplify (+ PI 0) into PI 3.246 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 3.255 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))) into (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI)) 3.266 * [backup-simplify]: Simplify (+ (* 4/3 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 3.272 * [backup-simplify]: Simplify (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.275 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (+ 0 0) into 0 3.277 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 2 -6)) (* -1/18 (/ 0 -6)))) into 0 3.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/36 (sqrt -1/6)))))) (* 2 (sqrt -1/6))) into 0 3.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- 0) into 0 3.280 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ PI (- PI))) (* (- (/ 1 PI)) (/ 0 (- PI))))) into 0 3.283 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (/ -1/36 (sqrt -1/6))) (+ (* (- (/ 1 PI)) 0) (* 0 (sqrt -1/6))))) into 0 3.285 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))))) into 0 3.285 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* -6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.287 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 0 -6)) (* -1/18 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/54 3.292 * [backup-simplify]: Simplify (/ (- -1/54 (pow (/ -1/36 (sqrt -1/6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1/6))) into (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6))) 3.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.295 * [backup-simplify]: Simplify (- 0) into 0 3.295 * [backup-simplify]: Simplify (+ 0 0) into 0 3.301 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (- PI))) (* 0 (/ 0 (- PI))) (* (- (/ 1 PI)) (/ PI (- PI))) (* 0 (/ 0 (- PI))))) into (- (/ 1 PI)) 3.316 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6)))) (+ (* 0 0) (+ (* (- (/ 1 PI)) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))))) into (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI)) 3.331 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 3.348 * [backup-simplify]: Simplify (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 3.370 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 (- v)) 5)) (* (* -4/3 (/ (sqrt -1/6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI))))) (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6)))))))) 3.370 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.370 * [backup-simplify]: Simplify (- PI (* (* v v) PI)) into (- PI (* (pow v 2) PI)) 3.370 * [approximate]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in (v) around 0 3.371 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 3.371 * [taylor]: Taking taylor expansion of PI in v 3.371 * [backup-simplify]: Simplify PI into PI 3.371 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 3.371 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.371 * [taylor]: Taking taylor expansion of v in v 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [taylor]: Taking taylor expansion of PI in v 3.371 * [backup-simplify]: Simplify PI into PI 3.371 * [taylor]: Taking taylor expansion of (- PI (* (pow v 2) PI)) in v 3.371 * [taylor]: Taking taylor expansion of PI in v 3.371 * [backup-simplify]: Simplify PI into PI 3.371 * [taylor]: Taking taylor expansion of (* (pow v 2) PI) in v 3.371 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.371 * [taylor]: Taking taylor expansion of v in v 3.371 * [backup-simplify]: Simplify 0 into 0 3.371 * [backup-simplify]: Simplify 1 into 1 3.371 * [taylor]: Taking taylor expansion of PI in v 3.371 * [backup-simplify]: Simplify PI into PI 3.372 * [backup-simplify]: Simplify (+ PI 0) into PI 3.372 * [backup-simplify]: Simplify PI into PI 3.372 * [backup-simplify]: Simplify (+ 0 0) into 0 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify (* 1 1) into 1 3.373 * [backup-simplify]: Simplify (* 1 PI) into PI 3.374 * [backup-simplify]: Simplify (- PI) into (- PI) 3.375 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 3.375 * [backup-simplify]: Simplify (- PI) into (- PI) 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 3.377 * [backup-simplify]: Simplify (- 0) into 0 3.377 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify 0 into 0 3.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 PI))) into 0 3.379 * [backup-simplify]: Simplify (- 0) into 0 3.380 * [backup-simplify]: Simplify (+ 0 0) into 0 3.380 * [backup-simplify]: Simplify 0 into 0 3.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.382 * [backup-simplify]: Simplify (- 0) into 0 3.383 * [backup-simplify]: Simplify (+ 0 0) into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.386 * [backup-simplify]: Simplify (- 0) into 0 3.386 * [backup-simplify]: Simplify (+ 0 0) into 0 3.386 * [backup-simplify]: Simplify 0 into 0 3.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.389 * [backup-simplify]: Simplify (- 0) into 0 3.390 * [backup-simplify]: Simplify (+ 0 0) into 0 3.390 * [backup-simplify]: Simplify 0 into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.393 * [backup-simplify]: Simplify (- 0) into 0 3.394 * [backup-simplify]: Simplify (+ 0 0) into 0 3.394 * [backup-simplify]: Simplify 0 into 0 3.394 * [backup-simplify]: Simplify (+ (* (- PI) (pow v 2)) PI) into (- PI (* (pow v 2) PI)) 3.394 * [backup-simplify]: Simplify (- PI (* (* (/ 1 v) (/ 1 v)) PI)) into (- PI (/ PI (pow v 2))) 3.395 * [approximate]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in (v) around 0 3.395 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 3.395 * [taylor]: Taking taylor expansion of PI in v 3.395 * [backup-simplify]: Simplify PI into PI 3.395 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 3.395 * [taylor]: Taking taylor expansion of PI in v 3.395 * [backup-simplify]: Simplify PI into PI 3.395 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.395 * [taylor]: Taking taylor expansion of v in v 3.395 * [backup-simplify]: Simplify 0 into 0 3.395 * [backup-simplify]: Simplify 1 into 1 3.395 * [backup-simplify]: Simplify (* 1 1) into 1 3.396 * [backup-simplify]: Simplify (/ PI 1) into PI 3.396 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 3.396 * [taylor]: Taking taylor expansion of PI in v 3.396 * [backup-simplify]: Simplify PI into PI 3.396 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 3.396 * [taylor]: Taking taylor expansion of PI in v 3.396 * [backup-simplify]: Simplify PI into PI 3.396 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.396 * [taylor]: Taking taylor expansion of v in v 3.396 * [backup-simplify]: Simplify 0 into 0 3.396 * [backup-simplify]: Simplify 1 into 1 3.396 * [backup-simplify]: Simplify (* 1 1) into 1 3.397 * [backup-simplify]: Simplify (/ PI 1) into PI 3.397 * [backup-simplify]: Simplify (- PI) into (- PI) 3.399 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 3.399 * [backup-simplify]: Simplify (- PI) into (- PI) 3.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.401 * [backup-simplify]: Simplify (- 0) into 0 3.401 * [backup-simplify]: Simplify (+ 0 0) into 0 3.401 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.404 * [backup-simplify]: Simplify (- 0) into 0 3.405 * [backup-simplify]: Simplify (+ PI 0) into PI 3.405 * [backup-simplify]: Simplify PI into PI 3.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (- 0) into 0 3.408 * [backup-simplify]: Simplify (+ 0 0) into 0 3.408 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (- 0) into 0 3.411 * [backup-simplify]: Simplify (+ 0 0) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.414 * [backup-simplify]: Simplify (- 0) into 0 3.414 * [backup-simplify]: Simplify (+ 0 0) into 0 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.416 * [backup-simplify]: Simplify (- 0) into 0 3.416 * [backup-simplify]: Simplify (+ 0 0) into 0 3.416 * [backup-simplify]: Simplify 0 into 0 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (- 0) into 0 3.418 * [backup-simplify]: Simplify (+ 0 0) into 0 3.418 * [backup-simplify]: Simplify 0 into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 3.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify (- 0) into 0 3.421 * [backup-simplify]: Simplify (+ 0 0) into 0 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify (+ PI (* (- PI) (pow (/ 1 (/ 1 v)) 2))) into (- PI (* (pow v 2) PI)) 3.421 * [backup-simplify]: Simplify (- PI (* (* (/ 1 (- v)) (/ 1 (- v))) PI)) into (- PI (/ PI (pow v 2))) 3.421 * [approximate]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in (v) around 0 3.421 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 3.421 * [taylor]: Taking taylor expansion of PI in v 3.421 * [backup-simplify]: Simplify PI into PI 3.421 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 3.421 * [taylor]: Taking taylor expansion of PI in v 3.421 * [backup-simplify]: Simplify PI into PI 3.421 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.421 * [taylor]: Taking taylor expansion of v in v 3.421 * [backup-simplify]: Simplify 0 into 0 3.421 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (* 1 1) into 1 3.422 * [backup-simplify]: Simplify (/ PI 1) into PI 3.422 * [taylor]: Taking taylor expansion of (- PI (/ PI (pow v 2))) in v 3.422 * [taylor]: Taking taylor expansion of PI in v 3.422 * [backup-simplify]: Simplify PI into PI 3.422 * [taylor]: Taking taylor expansion of (/ PI (pow v 2)) in v 3.422 * [taylor]: Taking taylor expansion of PI in v 3.422 * [backup-simplify]: Simplify PI into PI 3.422 * [taylor]: Taking taylor expansion of (pow v 2) in v 3.422 * [taylor]: Taking taylor expansion of v in v 3.422 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify 1 into 1 3.422 * [backup-simplify]: Simplify (* 1 1) into 1 3.423 * [backup-simplify]: Simplify (/ PI 1) into PI 3.423 * [backup-simplify]: Simplify (- PI) into (- PI) 3.424 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 3.425 * [backup-simplify]: Simplify (- PI) into (- PI) 3.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.426 * [backup-simplify]: Simplify (- 0) into 0 3.426 * [backup-simplify]: Simplify (+ 0 0) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.428 * [backup-simplify]: Simplify (- 0) into 0 3.428 * [backup-simplify]: Simplify (+ PI 0) into PI 3.428 * [backup-simplify]: Simplify PI into PI 3.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.431 * [backup-simplify]: Simplify (- 0) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.432 * [backup-simplify]: Simplify 0 into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.434 * [backup-simplify]: Simplify (- 0) into 0 3.434 * [backup-simplify]: Simplify (+ 0 0) into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.436 * [backup-simplify]: Simplify (- 0) into 0 3.436 * [backup-simplify]: Simplify (+ 0 0) into 0 3.436 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.438 * [backup-simplify]: Simplify (- 0) into 0 3.438 * [backup-simplify]: Simplify (+ 0 0) into 0 3.438 * [backup-simplify]: Simplify 0 into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 3.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (- 0) into 0 3.441 * [backup-simplify]: Simplify (+ 0 0) into 0 3.441 * [backup-simplify]: Simplify 0 into 0 3.441 * [backup-simplify]: Simplify (+ PI (* (- PI) (pow (/ 1 (/ 1 (- v))) 2))) into (- PI (* (pow v 2) PI)) 3.441 * * * [progress]: simplifying candidates 3.441 * * * * [progress]: [ 1 / 238 ] simplifiying candidate # 3.441 * * * * [progress]: [ 2 / 238 ] simplifiying candidate # 3.441 * * * * [progress]: [ 3 / 238 ] simplifiying candidate # 3.441 * * * * [progress]: [ 4 / 238 ] simplifiying candidate # 3.441 * * * * [progress]: [ 5 / 238 ] simplifiying candidate # 3.441 * * * * [progress]: [ 6 / 238 ] simplifiying candidate # 3.441 * * * * [progress]: [ 7 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3.454 * [simplify]: Simplifying: (expm1 (/ 4/3 (- PI (* (* v v) PI)))) (log1p (/ 4/3 (- PI (* (* v v) PI)))) (- (log 4/3) (log (- PI (* (* v v) PI)))) (log (/ 4/3 (- PI (* (* v v) PI)))) (exp (/ 4/3 (- PI (* (* v v) PI)))) (/ (* (* 4/3 4/3) 4/3) (* (* (- PI (* (* v v) PI)) (- PI (* (* v v) PI))) (- PI (* (* v v) PI)))) (* (cbrt (/ 4/3 (- PI (* (* v v) PI)))) (cbrt (/ 4/3 (- PI (* (* v v) PI))))) (cbrt (/ 4/3 (- PI (* (* v v) PI)))) (* (* (/ 4/3 (- PI (* (* v v) PI))) (/ 4/3 (- PI (* (* v v) PI)))) (/ 4/3 (- PI (* (* v v) PI)))) (sqrt (/ 4/3 (- PI (* (* v v) PI)))) (sqrt (/ 4/3 (- PI (* (* v v) PI)))) (- 4/3) (- (- PI (* (* v v) PI))) (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt (- PI (* (* v v) PI))) (cbrt (- PI (* (* v v) PI))))) (/ (cbrt 4/3) (cbrt (- PI (* (* v v) PI)))) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (- PI (* (* v v) PI)))) (/ (cbrt 4/3) (sqrt (- PI (* (* v v) PI)))) (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (/ (cbrt 4/3) (- PI (* (* v v) PI))) (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 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PI)) (- PI (* (pow v 2) PI)) (- PI (* (pow v 2) PI)) 3.460 * * [simplify]: iteration 1: (411 enodes) 3.672 * * [simplify]: iteration 2: (1019 enodes) 4.439 * * [simplify]: Extracting #0: cost 229 inf + 0 4.441 * * [simplify]: Extracting #1: cost 682 inf + 3 4.445 * * [simplify]: Extracting #2: cost 975 inf + 7912 4.453 * * [simplify]: Extracting #3: cost 898 inf + 32821 4.471 * * [simplify]: Extracting #4: cost 737 inf + 70740 4.517 * * [simplify]: Extracting #5: cost 247 inf + 230683 4.603 * * [simplify]: Extracting #6: cost 70 inf + 295232 4.688 * * [simplify]: Extracting #7: cost 16 inf + 329726 4.808 * * [simplify]: Extracting #8: cost 0 inf + 345348 4.900 * * [simplify]: Extracting #9: cost 0 inf + 344640 5.026 * [simplify]: Simplified to: (expm1 (/ 4/3 (- PI (* PI (* v v))))) (log1p (/ 4/3 (- PI (* PI (* v v))))) (log (/ 4/3 (- PI (* PI (* v v))))) (log (/ 4/3 (- PI (* PI (* v v))))) (exp (/ 4/3 (- PI (* PI (* v v))))) (/ (/ 64/27 (- PI (* PI (* v v)))) (* (- PI (* PI (* v v))) 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(/ (sqrt (fma -6 (* v v) 2)) (/ 4/3 (cbrt (- PI (* PI (* v v)))))) (/ (sqrt (fma -6 (* v v) 2)) (/ 4/3 (sqrt (- PI (* PI (* v v)))))) (/ (* (sqrt (fma -6 (* v v) 2)) (- PI (* PI (* v v)))) 4/3) (/ (sqrt (fma -6 (* v v) 2)) (/ 4/3 (- 1 (* v v)))) (/ (* (sqrt (fma -6 (* v v) 2)) (- PI (* PI (* v v)))) 4/3) (* (sqrt (fma -6 (* v v) 2)) (- PI (* PI (* v v)))) (/ (sqrt (fma -6 (* v v) 2)) (fma PI PI (fma (* v v) (* (* v PI) (* v PI)) (* (* v PI) (* v PI))))) (/ (sqrt (fma -6 (* v v) 2)) (fma v (* v PI) PI)) (* (sqrt (fma -6 (* v v) 2)) (- PI (* PI (* v v)))) (fma (* (cbrt PI) (cbrt PI)) (cbrt PI) (* (- PI) (* v v))) (fma (- PI) (* v v) (* PI (* v v))) (- PI (* PI (* v v))) (fma (- PI) (* v v) (* PI (* v v))) (- PI (* PI (* v v))) (fma (- PI) (* v v) (* PI (* v v))) (expm1 (- PI (* PI (* v v)))) (log1p (- PI (* PI (* v v)))) (* (- PI) (* v v)) (* (- PI) (* v v)) (* (- PI) (* v v)) (exp (- PI (* PI (* v v)))) (log (- PI (* PI (* v v)))) (exp (- PI (* PI (* v v)))) (* (cbrt (- PI (* PI (* v v)))) (cbrt (- PI (* PI (* v v))))) (cbrt (- PI (* PI (* v v)))) (* (* (- PI (* PI (* v v))) (- PI (* PI (* v v)))) (- PI (* PI (* v v)))) (sqrt (- PI (* PI (* v v)))) (sqrt (- PI (* PI (* v v)))) (- (* (* PI PI) PI) (* (* PI (* v v)) (* (* PI (* v v)) (* PI (* v v))))) (fma PI PI (fma (* v v) (* (* v PI) (* v PI)) (* (* v PI) (* v PI)))) (* (- PI) (* v v)) (* PI (- PI (* (* v v) (* PI (* v v))))) (fma v (* v PI) PI) (- 1 (* v v)) (* (- PI) (* v v)) (fma (/ (* v v) PI) 4/3 (fma 4/3 (/ (* (* v v) (* v v)) PI) (/ 4/3 PI))) (- (/ -4/3 (* PI (* v v))) (+ (/ 4/3 (* (* v v) (* PI (* v v)))) (/ 4/3 (* (* v v) (* (* v v) (* PI (* v v))))))) (- (/ -4/3 (* PI (* v v))) (+ (/ 4/3 (* (* v v) (* PI (* v v)))) (/ 4/3 (* (* v v) (* (* v v) (* PI (* v v))))))) (* PI (* v v)) (* PI (* v v)) (* PI (* v v)) (fma 4 (/ (* (* v v) (* v v)) (* (sqrt 1/2) PI)) (+ (fma (/ (sqrt 1/2) PI) 4/3 (fma 4/3 (/ (* (* v v) (* v v)) (/ PI (sqrt 1/2))) (/ (* (* v v) 4/3) (/ PI (sqrt 1/2))))) (- (* (/ v (sqrt 1/2)) (/ v PI)) (* (/ 3/8 PI) (/ (* (* v v) (* v v)) (* (sqrt 1/2) 1/2)))))) (+ (+ (/ 4/81 (* (sqrt -1/6) (* (pow v 7) PI))) (/ 1/27 (* (sqrt -1/6) (* PI (* (* (* v v) (* v v)) v))))) (- (/ 1/1944 (* (* (* (pow v 7) PI) -1/6) (sqrt -1/6))) (* 4/3 (+ (+ (/ (sqrt -1/6) (* v (* PI (* v v)))) (/ (sqrt -1/6) (* PI (* (* (* v v) (* v v)) v)))) (/ (sqrt -1/6) (* (pow v 7) PI)))))) (- (- (* 4/3 (+ (+ (/ (sqrt -1/6) (* v (* PI (* v v)))) (/ (sqrt -1/6) (* PI (* (* (* v v) (* v v)) v)))) (/ (sqrt -1/6) (* (pow v 7) PI)))) (+ (/ 1/1944 (* (* (* (pow v 7) PI) -1/6) (sqrt -1/6))) (/ 4/81 (* (sqrt -1/6) (* (pow v 7) PI))))) (/ 1/27 (* (sqrt -1/6) (* PI (* (* (* v v) (* v v)) v))))) (- PI (* PI (* v v))) (- PI (* PI (* v v))) (- PI (* PI (* v v))) 5.068 * * * [progress]: adding candidates to table 7.582 * * [progress]: iteration 2 / 4 7.582 * * * [progress]: picking best candidate 7.587 * * * * [pick]: Picked # 7.587 * * * [progress]: localizing error 7.626 * * * [progress]: generating rewritten candidates 7.626 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 7.693 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 7.765 * * * [progress]: generating series expansions 7.765 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.766 * [backup-simplify]: Simplify (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) into (* 4/3 (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) 7.766 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) in (v) around 0 7.766 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) in v 7.766 * [taylor]: Taking taylor expansion of 4/3 in v 7.766 * [backup-simplify]: Simplify 4/3 into 4/3 7.766 * [taylor]: Taking taylor expansion of (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) in v 7.766 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1 (pow v 2)) PI)) in v 7.766 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 7.766 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 7.766 * [taylor]: Taking taylor expansion of 1 in v 7.766 * [backup-simplify]: Simplify 1 into 1 7.766 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.766 * [taylor]: Taking taylor expansion of v in v 7.766 * [backup-simplify]: Simplify 0 into 0 7.766 * [backup-simplify]: Simplify 1 into 1 7.766 * [taylor]: Taking taylor expansion of PI in v 7.766 * [backup-simplify]: Simplify PI into PI 7.766 * [backup-simplify]: Simplify (+ 1 0) into 1 7.767 * [backup-simplify]: Simplify (* 1 PI) into PI 7.767 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 7.767 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (pow v 2))))) in v 7.767 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (pow v 2)))) in v 7.767 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 7.767 * [taylor]: Taking taylor expansion of 2 in v 7.767 * [backup-simplify]: Simplify 2 into 2 7.767 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 7.767 * [taylor]: Taking taylor expansion of 6 in v 7.767 * [backup-simplify]: Simplify 6 into 6 7.767 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.767 * [taylor]: Taking taylor expansion of v in v 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify 1 into 1 7.768 * [backup-simplify]: Simplify (+ 2 0) into 2 7.768 * [backup-simplify]: Simplify (/ 1 2) into 1/2 7.769 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.769 * [backup-simplify]: Simplify (+ 0 0) into 0 7.769 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 7.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.770 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2))))))) in v 7.770 * [taylor]: Taking taylor expansion of 4/3 in v 7.770 * [backup-simplify]: Simplify 4/3 into 4/3 7.770 * [taylor]: Taking taylor expansion of (* (/ 1 (* (- 1 (pow v 2)) PI)) (sqrt (/ 1 (- 2 (* 6 (pow v 2)))))) in v 7.770 * [taylor]: Taking taylor expansion of (/ 1 (* (- 1 (pow v 2)) PI)) in v 7.770 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 7.770 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 7.770 * [taylor]: Taking taylor expansion of 1 in v 7.770 * [backup-simplify]: Simplify 1 into 1 7.770 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.770 * [taylor]: Taking taylor expansion of v in v 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 1 into 1 7.770 * [taylor]: Taking taylor expansion of PI in v 7.770 * [backup-simplify]: Simplify PI into PI 7.770 * [backup-simplify]: Simplify (+ 1 0) into 1 7.771 * [backup-simplify]: Simplify (* 1 PI) into PI 7.771 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 7.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (pow v 2))))) in v 7.771 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (pow v 2)))) in v 7.771 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 7.771 * [taylor]: Taking taylor expansion of 2 in v 7.771 * [backup-simplify]: Simplify 2 into 2 7.771 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 7.771 * [taylor]: Taking taylor expansion of 6 in v 7.771 * [backup-simplify]: Simplify 6 into 6 7.771 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.771 * [taylor]: Taking taylor expansion of v in v 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [backup-simplify]: Simplify (+ 2 0) into 2 7.772 * [backup-simplify]: Simplify (/ 1 2) into 1/2 7.772 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 7.772 * [backup-simplify]: Simplify (+ 0 0) into 0 7.773 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 7.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 7.775 * [backup-simplify]: Simplify (* (/ 1 PI) (sqrt 1/2)) into (/ (sqrt 1/2) PI) 7.777 * [backup-simplify]: Simplify (* 4/3 (/ (sqrt 1/2) PI)) into (* 4/3 (/ (sqrt 1/2) PI)) 7.778 * [backup-simplify]: Simplify (* 4/3 (/ (sqrt 1/2) PI)) into (* 4/3 (/ (sqrt 1/2) PI)) 7.779 * [backup-simplify]: Simplify (+ 0 0) into 0 7.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 7.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 7.782 * [backup-simplify]: Simplify (+ (* (/ 1 PI) 0) (* 0 (sqrt 1/2))) into 0 7.783 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (/ (sqrt 1/2) PI))) into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.784 * [backup-simplify]: Simplify (* 1 1) into 1 7.784 * [backup-simplify]: Simplify (* 6 1) into 6 7.785 * [backup-simplify]: Simplify (- 6) into -6 7.785 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.786 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ -6 2)) (* 0 (/ 0 2)))) into 3/2 7.789 * [backup-simplify]: Simplify (/ (- 3/2 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ 3/4 (sqrt 1/2)) 7.790 * [backup-simplify]: Simplify (* 1 1) into 1 7.790 * [backup-simplify]: Simplify (- 1) into -1 7.790 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1 PI))) into (- PI) 7.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 7.800 * [backup-simplify]: Simplify (+ (* (/ 1 PI) (/ 3/4 (sqrt 1/2))) (+ (* 0 0) (* (/ 1 PI) (sqrt 1/2)))) into (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) 7.806 * [backup-simplify]: Simplify (+ (* 4/3 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI)))) into (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) 7.809 * [backup-simplify]: Simplify (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) into (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) 7.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.809 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.810 * [backup-simplify]: Simplify (- 0) into 0 7.810 * [backup-simplify]: Simplify (+ 0 0) into 0 7.811 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ -6 2)) (* 3/2 (/ 0 2)))) into 0 7.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 3/4 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.812 * [backup-simplify]: Simplify (- 0) into 0 7.813 * [backup-simplify]: Simplify (+ 0 0) into 0 7.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (* 0 PI)))) into 0 7.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 7.817 * [backup-simplify]: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 (/ 3/4 (sqrt 1/2))) (+ (* (/ 1 PI) 0) (* 0 (sqrt 1/2))))) into 0 7.820 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI))))) into 0 7.820 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.828 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 7.829 * [backup-simplify]: Simplify (- 0) into 0 7.829 * [backup-simplify]: Simplify (+ 0 0) into 0 7.831 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 3/2 (/ -6 2)) (* 0 (/ 0 2)))) into 9/2 7.838 * [backup-simplify]: Simplify (/ (- 9/2 (pow (/ 3/4 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 7.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.839 * [backup-simplify]: Simplify (- 0) into 0 7.840 * [backup-simplify]: Simplify (+ 0 0) into 0 7.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI))))) into 0 7.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* (/ 1 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (/ 1 PI) 7.874 * [backup-simplify]: Simplify (+ (* (/ 1 PI) (* 1/2 (/ (- 9/2 (* 9/16 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (+ (* 0 0) (+ (* (/ 1 PI) (/ 3/4 (sqrt 1/2))) (+ (* 0 0) (* (/ 1 PI) (sqrt 1/2)))))) into (- (+ (* 3 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) (* 9/32 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 7.898 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 3 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI)) (* 9/32 (/ 1 (* PI (pow (sqrt 1/2) 3)))))) (+ (* 0 0) (+ (* 0 (+ (* 3/4 (/ 1 (* PI (sqrt 1/2)))) (/ (sqrt 1/2) PI))) (+ (* 0 0) (* 0 (/ (sqrt 1/2) PI)))))) into (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 7.910 * [backup-simplify]: Simplify (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) into (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) 7.922 * [backup-simplify]: Simplify (+ (* (- (+ (* 4 (/ 1 (* PI (sqrt 1/2)))) (* 4/3 (/ (sqrt 1/2) PI))) (* 3/8 (/ 1 (* PI (pow (sqrt 1/2) 3))))) (pow v 4)) (+ (* (+ (/ 1 (* PI (sqrt 1/2))) (* 4/3 (/ (sqrt 1/2) PI))) (pow v 2)) (* 4/3 (/ (sqrt 1/2) PI)))) into (- (+ (* 4 (/ (pow v 4) (* PI (sqrt 1/2)))) (+ (/ (pow v 2) (* PI (sqrt 1/2))) (+ (* 4/3 (/ (sqrt 1/2) PI)) (+ (* 4/3 (/ (* (pow v 2) (sqrt 1/2)) PI)) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) PI)))))) (* 3/8 (/ (pow v 4) (* PI (pow (sqrt 1/2) 3))))) 7.923 * [backup-simplify]: Simplify (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))))) into (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) 7.923 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in (v) around 0 7.923 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in v 7.923 * [taylor]: Taking taylor expansion of 4/3 in v 7.923 * [backup-simplify]: Simplify 4/3 into 4/3 7.923 * [taylor]: Taking taylor expansion of (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))))) in v 7.923 * [taylor]: Taking taylor expansion of (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) in v 7.923 * [taylor]: Taking taylor expansion of (* PI (- 1 (/ 1 (pow v 2)))) in v 7.923 * [taylor]: Taking taylor expansion of PI in v 7.923 * [backup-simplify]: Simplify PI into PI 7.923 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 7.923 * [taylor]: Taking taylor expansion of 1 in v 7.923 * [backup-simplify]: Simplify 1 into 1 7.923 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.923 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.924 * [taylor]: Taking taylor expansion of v in v 7.924 * [backup-simplify]: Simplify 0 into 0 7.924 * [backup-simplify]: Simplify 1 into 1 7.924 * [backup-simplify]: Simplify (* 1 1) into 1 7.924 * [backup-simplify]: Simplify (/ 1 1) into 1 7.924 * [backup-simplify]: Simplify (- 1) into -1 7.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.925 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 7.926 * [backup-simplify]: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) 7.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) in v 7.926 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.926 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.926 * [taylor]: Taking taylor expansion of 2 in v 7.926 * [backup-simplify]: Simplify 2 into 2 7.926 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.926 * [taylor]: Taking taylor expansion of 6 in v 7.926 * [backup-simplify]: Simplify 6 into 6 7.926 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.926 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.926 * [taylor]: Taking taylor expansion of v in v 7.926 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify 1 into 1 7.926 * [backup-simplify]: Simplify (* 1 1) into 1 7.926 * [backup-simplify]: Simplify (/ 1 1) into 1 7.927 * [backup-simplify]: Simplify (* 6 1) into 6 7.927 * [backup-simplify]: Simplify (- 6) into -6 7.927 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.927 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 7.928 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 7.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.929 * [backup-simplify]: Simplify (- 0) into 0 7.929 * [backup-simplify]: Simplify (+ 0 0) into 0 7.930 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 7.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 7.930 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in v 7.930 * [taylor]: Taking taylor expansion of 4/3 in v 7.930 * [backup-simplify]: Simplify 4/3 into 4/3 7.930 * [taylor]: Taking taylor expansion of (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))))) in v 7.930 * [taylor]: Taking taylor expansion of (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) in v 7.930 * [taylor]: Taking taylor expansion of (* PI (- 1 (/ 1 (pow v 2)))) in v 7.930 * [taylor]: Taking taylor expansion of PI in v 7.930 * [backup-simplify]: Simplify PI into PI 7.930 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 7.930 * [taylor]: Taking taylor expansion of 1 in v 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.931 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.931 * [taylor]: Taking taylor expansion of v in v 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [backup-simplify]: Simplify (* 1 1) into 1 7.931 * [backup-simplify]: Simplify (/ 1 1) into 1 7.931 * [backup-simplify]: Simplify (- 1) into -1 7.932 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.932 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 7.933 * [backup-simplify]: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) 7.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) in v 7.933 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))) in v 7.933 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 7.933 * [taylor]: Taking taylor expansion of 2 in v 7.933 * [backup-simplify]: Simplify 2 into 2 7.933 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 7.933 * [taylor]: Taking taylor expansion of 6 in v 7.933 * [backup-simplify]: Simplify 6 into 6 7.933 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 7.933 * [taylor]: Taking taylor expansion of (pow v 2) in v 7.933 * [taylor]: Taking taylor expansion of v in v 7.933 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify 1 into 1 7.933 * [backup-simplify]: Simplify (* 1 1) into 1 7.933 * [backup-simplify]: Simplify (/ 1 1) into 1 7.934 * [backup-simplify]: Simplify (* 6 1) into 6 7.934 * [backup-simplify]: Simplify (- 6) into -6 7.934 * [backup-simplify]: Simplify (+ 0 -6) into -6 7.934 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 7.935 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 7.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.936 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 7.936 * [backup-simplify]: Simplify (- 0) into 0 7.936 * [backup-simplify]: Simplify (+ 0 0) into 0 7.937 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 7.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 7.938 * [backup-simplify]: Simplify (* (/ -1 PI) (sqrt -1/6)) into (* -1 (/ (sqrt -1/6) PI)) 7.940 * [backup-simplify]: Simplify (* 4/3 (* -1 (/ (sqrt -1/6) PI))) into (* -4/3 (/ (sqrt -1/6) PI)) 7.941 * [backup-simplify]: Simplify (* -4/3 (/ (sqrt -1/6) PI)) into (* -4/3 (/ (sqrt -1/6) PI)) 7.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.943 * [backup-simplify]: Simplify (- 0) into 0 7.943 * [backup-simplify]: Simplify (+ 0 0) into 0 7.944 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 -1)) into 0 7.945 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))))) into 0 7.946 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (* 0 (sqrt -1/6))) into 0 7.948 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))) into 0 7.948 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 7.960 * [backup-simplify]: Simplify (- 0) into 0 7.961 * [backup-simplify]: Simplify (+ 2 0) into 2 7.963 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/18 7.965 * [backup-simplify]: Simplify (/ (- -1/18 (pow 0 2) (+)) (* 2 (sqrt -1/6))) into (/ -1/36 (sqrt -1/6)) 7.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.968 * [backup-simplify]: Simplify (- 0) into 0 7.968 * [backup-simplify]: Simplify (+ 1 0) into 1 7.970 * [backup-simplify]: Simplify (+ (* PI 1) (+ (* 0 0) (* 0 -1))) into PI 7.977 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (/ 1 PI)) 7.985 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))) into (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI)) 7.997 * [backup-simplify]: Simplify (+ (* 4/3 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 8.003 * [backup-simplify]: Simplify (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 8.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.006 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.006 * [backup-simplify]: Simplify (- 0) into 0 8.007 * [backup-simplify]: Simplify (+ 0 0) into 0 8.008 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 2 -6)) (* -1/18 (/ 0 -6)))) into 0 8.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/36 (sqrt -1/6)))))) (* 2 (sqrt -1/6))) into 0 8.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.012 * [backup-simplify]: Simplify (- 0) into 0 8.013 * [backup-simplify]: Simplify (+ 0 0) into 0 8.014 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 8.017 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ PI (* -1 PI))) (* (- (/ 1 PI)) (/ 0 (* -1 PI))))) into 0 8.019 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (/ -1/36 (sqrt -1/6))) (+ (* (- (/ 1 PI)) 0) (* 0 (sqrt -1/6))))) into 0 8.024 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))))) into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.028 * [backup-simplify]: Simplify (- 0) into 0 8.028 * [backup-simplify]: Simplify (+ 0 0) into 0 8.030 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 0 -6)) (* -1/18 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/54 8.036 * [backup-simplify]: Simplify (/ (- -1/54 (pow (/ -1/36 (sqrt -1/6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1/6))) into (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6))) 8.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.039 * [backup-simplify]: Simplify (- 0) into 0 8.039 * [backup-simplify]: Simplify (+ 0 0) into 0 8.041 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 8.051 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* (- (/ 1 PI)) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (/ 1 PI)) 8.078 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6)))) (+ (* 0 0) (+ (* (- (/ 1 PI)) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))))) into (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI)) 8.097 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 8.105 * [backup-simplify]: Simplify (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 8.127 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 v) 7)) (+ (* (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 v) 5)) (* (* -4/3 (/ (sqrt -1/6) PI)) (pow (/ 1 v) 3)))) into (- (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6))))))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI)))))) 8.128 * [backup-simplify]: Simplify (/ 4 (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))))) into (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) 8.128 * [approximate]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in (v) around 0 8.128 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in v 8.128 * [taylor]: Taking taylor expansion of 4/3 in v 8.128 * [backup-simplify]: Simplify 4/3 into 4/3 8.128 * [taylor]: Taking taylor expansion of (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))))) in v 8.128 * [taylor]: Taking taylor expansion of (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) in v 8.128 * [taylor]: Taking taylor expansion of (* PI (- 1 (/ 1 (pow v 2)))) in v 8.128 * [taylor]: Taking taylor expansion of PI in v 8.128 * [backup-simplify]: Simplify PI into PI 8.128 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 8.128 * [taylor]: Taking taylor expansion of 1 in v 8.128 * [backup-simplify]: Simplify 1 into 1 8.128 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.128 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.128 * [taylor]: Taking taylor expansion of v in v 8.128 * [backup-simplify]: Simplify 0 into 0 8.128 * [backup-simplify]: Simplify 1 into 1 8.129 * [backup-simplify]: Simplify (* 1 1) into 1 8.129 * [backup-simplify]: Simplify (/ 1 1) into 1 8.129 * [backup-simplify]: Simplify (- 1) into -1 8.130 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.130 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 8.131 * [backup-simplify]: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) 8.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) in v 8.131 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.131 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.131 * [taylor]: Taking taylor expansion of 2 in v 8.131 * [backup-simplify]: Simplify 2 into 2 8.131 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.131 * [taylor]: Taking taylor expansion of 6 in v 8.131 * [backup-simplify]: Simplify 6 into 6 8.131 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.131 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.132 * [taylor]: Taking taylor expansion of v in v 8.132 * [backup-simplify]: Simplify 0 into 0 8.132 * [backup-simplify]: Simplify 1 into 1 8.132 * [backup-simplify]: Simplify (* 1 1) into 1 8.132 * [backup-simplify]: Simplify (/ 1 1) into 1 8.133 * [backup-simplify]: Simplify (* 6 1) into 6 8.133 * [backup-simplify]: Simplify (- 6) into -6 8.133 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.134 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 8.134 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 8.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.137 * [backup-simplify]: Simplify (- 0) into 0 8.137 * [backup-simplify]: Simplify (+ 0 0) into 0 8.138 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 8.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 8.138 * [taylor]: Taking taylor expansion of (* 4/3 (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))))) in v 8.139 * [taylor]: Taking taylor expansion of 4/3 in v 8.139 * [backup-simplify]: Simplify 4/3 into 4/3 8.139 * [taylor]: Taking taylor expansion of (* (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))))) in v 8.139 * [taylor]: Taking taylor expansion of (/ 1 (* PI (- 1 (/ 1 (pow v 2))))) in v 8.139 * [taylor]: Taking taylor expansion of (* PI (- 1 (/ 1 (pow v 2)))) in v 8.139 * [taylor]: Taking taylor expansion of PI in v 8.139 * [backup-simplify]: Simplify PI into PI 8.139 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 8.139 * [taylor]: Taking taylor expansion of 1 in v 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.139 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.139 * [taylor]: Taking taylor expansion of v in v 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (* 1 1) into 1 8.140 * [backup-simplify]: Simplify (/ 1 1) into 1 8.140 * [backup-simplify]: Simplify (- 1) into -1 8.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.141 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 8.142 * [backup-simplify]: Simplify (/ 1 (* -1 PI)) into (/ -1 PI) 8.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2 (* 6 (/ 1 (pow v 2)))))) in v 8.142 * [taylor]: Taking taylor expansion of (/ 1 (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.142 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.142 * [taylor]: Taking taylor expansion of 2 in v 8.142 * [backup-simplify]: Simplify 2 into 2 8.142 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.142 * [taylor]: Taking taylor expansion of 6 in v 8.142 * [backup-simplify]: Simplify 6 into 6 8.142 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.142 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.142 * [taylor]: Taking taylor expansion of v in v 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.143 * [backup-simplify]: Simplify (* 1 1) into 1 8.143 * [backup-simplify]: Simplify (/ 1 1) into 1 8.143 * [backup-simplify]: Simplify (* 6 1) into 6 8.144 * [backup-simplify]: Simplify (- 6) into -6 8.144 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.145 * [backup-simplify]: Simplify (/ 1 -6) into -1/6 8.145 * [backup-simplify]: Simplify (sqrt -1/6) into (sqrt -1/6) 8.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.147 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.147 * [backup-simplify]: Simplify (- 0) into 0 8.148 * [backup-simplify]: Simplify (+ 0 0) into 0 8.148 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)))) into 0 8.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1/6))) into 0 8.151 * [backup-simplify]: Simplify (* (/ -1 PI) (sqrt -1/6)) into (* -1 (/ (sqrt -1/6) PI)) 8.153 * [backup-simplify]: Simplify (* 4/3 (* -1 (/ (sqrt -1/6) PI))) into (* -4/3 (/ (sqrt -1/6) PI)) 8.155 * [backup-simplify]: Simplify (* -4/3 (/ (sqrt -1/6) PI)) into (* -4/3 (/ (sqrt -1/6) PI)) 8.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify (- 0) into 0 8.157 * [backup-simplify]: Simplify (+ 0 0) into 0 8.158 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 -1)) into 0 8.159 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))))) into 0 8.160 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (* 0 (sqrt -1/6))) into 0 8.162 * [backup-simplify]: Simplify (+ (* 4/3 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))) into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.165 * [backup-simplify]: Simplify (- 0) into 0 8.165 * [backup-simplify]: Simplify (+ 2 0) into 2 8.167 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/18 8.169 * [backup-simplify]: Simplify (/ (- -1/18 (pow 0 2) (+)) (* 2 (sqrt -1/6))) into (/ -1/36 (sqrt -1/6)) 8.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.172 * [backup-simplify]: Simplify (- 0) into 0 8.172 * [backup-simplify]: Simplify (+ 1 0) into 1 8.174 * [backup-simplify]: Simplify (+ (* PI 1) (+ (* 0 0) (* 0 -1))) into PI 8.180 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (/ 1 PI)) 8.188 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))) into (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI)) 8.199 * [backup-simplify]: Simplify (+ (* 4/3 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 8.205 * [backup-simplify]: Simplify (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) 8.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (- 0) into 0 8.208 * [backup-simplify]: Simplify (+ 0 0) into 0 8.210 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 2 -6)) (* -1/18 (/ 0 -6)))) into 0 8.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/36 (sqrt -1/6)))))) (* 2 (sqrt -1/6))) into 0 8.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.214 * [backup-simplify]: Simplify (- 0) into 0 8.215 * [backup-simplify]: Simplify (+ 0 0) into 0 8.216 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1)))) into 0 8.219 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ PI (* -1 PI))) (* (- (/ 1 PI)) (/ 0 (* -1 PI))))) into 0 8.222 * [backup-simplify]: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (/ -1/36 (sqrt -1/6))) (+ (* (- (/ 1 PI)) 0) (* 0 (sqrt -1/6))))) into 0 8.225 * [backup-simplify]: Simplify (+ (* 4/3 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI)))))) into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.229 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.236 * [backup-simplify]: Simplify (- 0) into 0 8.236 * [backup-simplify]: Simplify (+ 0 0) into 0 8.237 * [backup-simplify]: Simplify (- (+ (* -1/6 (/ 0 -6)) (* 0 (/ 0 -6)) (* -1/18 (/ 2 -6)) (* 0 (/ 0 -6)))) into -1/54 8.241 * [backup-simplify]: Simplify (/ (- -1/54 (pow (/ -1/36 (sqrt -1/6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1/6))) into (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6))) 8.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.242 * [backup-simplify]: Simplify (- 0) into 0 8.242 * [backup-simplify]: Simplify (+ 0 0) into 0 8.243 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 -1))))) into 0 8.249 * [backup-simplify]: Simplify (- (+ (* (/ -1 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* (- (/ 1 PI)) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (/ 1 PI)) 8.273 * [backup-simplify]: Simplify (+ (* (/ -1 PI) (* -1/2 (/ (+ (* 1/1296 (/ 1 (pow (sqrt -1/6) 2))) 1/54) (sqrt -1/6)))) (+ (* 0 0) (+ (* (- (/ 1 PI)) (/ -1/36 (sqrt -1/6))) (+ (* 0 0) (* (- (/ 1 PI)) (sqrt -1/6)))))) into (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI)) 8.288 * [backup-simplify]: Simplify (+ (* 4/3 (- (+ (* 1/2592 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 1/27 (/ 1 (* PI (sqrt -1/6))))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (+ (* 0 (- (* 1/36 (/ 1 (* PI (sqrt -1/6)))) (/ (sqrt -1/6) PI))) (+ (* 0 0) (* 0 (* -1 (/ (sqrt -1/6) PI))))))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 8.296 * [backup-simplify]: Simplify (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) into (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) 8.310 * [backup-simplify]: Simplify (+ (* (- (+ (* 1/1944 (/ 1 (* PI (pow (sqrt -1/6) 3)))) (* 4/81 (/ 1 (* PI (sqrt -1/6))))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 (- v)) 7)) (+ (* (- (* 1/27 (/ 1 (* PI (sqrt -1/6)))) (* 4/3 (/ (sqrt -1/6) PI))) (pow (/ 1 (- v)) 5)) (* (* -4/3 (/ (sqrt -1/6) PI)) (pow (/ 1 (- v)) 3)))) into (- (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI))))) (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6)))))))) 8.311 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 8.311 * [backup-simplify]: Simplify (* 6 (* v v)) into (* 6 (pow v 2)) 8.311 * [approximate]: Taking taylor expansion of (* 6 (pow v 2)) in (v) around 0 8.311 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 8.311 * [taylor]: Taking taylor expansion of 6 in v 8.311 * [backup-simplify]: Simplify 6 into 6 8.311 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.311 * [taylor]: Taking taylor expansion of v in v 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 8.311 * [taylor]: Taking taylor expansion of 6 in v 8.311 * [backup-simplify]: Simplify 6 into 6 8.311 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.311 * [taylor]: Taking taylor expansion of v in v 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (* 1 1) into 1 8.312 * [backup-simplify]: Simplify (* 6 1) into 6 8.312 * [backup-simplify]: Simplify 6 into 6 8.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.314 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.314 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.316 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.316 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.318 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.318 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.321 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.321 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.324 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.327 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.327 * [backup-simplify]: Simplify 0 into 0 8.327 * [backup-simplify]: Simplify (* 6 (pow v 2)) into (* 6 (pow v 2)) 8.327 * [backup-simplify]: Simplify (* 6 (* (/ 1 v) (/ 1 v))) into (/ 6 (pow v 2)) 8.327 * [approximate]: Taking taylor expansion of (/ 6 (pow v 2)) in (v) around 0 8.327 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 8.328 * [taylor]: Taking taylor expansion of 6 in v 8.328 * [backup-simplify]: Simplify 6 into 6 8.328 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.328 * [taylor]: Taking taylor expansion of v in v 8.328 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify 1 into 1 8.328 * [backup-simplify]: Simplify (* 1 1) into 1 8.329 * [backup-simplify]: Simplify (/ 6 1) into 6 8.329 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 8.329 * [taylor]: Taking taylor expansion of 6 in v 8.329 * [backup-simplify]: Simplify 6 into 6 8.329 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.329 * [taylor]: Taking taylor expansion of v in v 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 1 into 1 8.329 * [backup-simplify]: Simplify (* 1 1) into 1 8.330 * [backup-simplify]: Simplify (/ 6 1) into 6 8.330 * [backup-simplify]: Simplify 6 into 6 8.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify 0 into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.333 * [backup-simplify]: Simplify 0 into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.348 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify (* 6 (pow (/ 1 (/ 1 v)) 2)) into (* 6 (pow v 2)) 8.351 * [backup-simplify]: Simplify (* 6 (* (/ 1 (- v)) (/ 1 (- v)))) into (/ 6 (pow v 2)) 8.351 * [approximate]: Taking taylor expansion of (/ 6 (pow v 2)) in (v) around 0 8.351 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 8.351 * [taylor]: Taking taylor expansion of 6 in v 8.351 * [backup-simplify]: Simplify 6 into 6 8.351 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.351 * [taylor]: Taking taylor expansion of v in v 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 1 into 1 8.352 * [backup-simplify]: Simplify (* 1 1) into 1 8.352 * [backup-simplify]: Simplify (/ 6 1) into 6 8.352 * [taylor]: Taking taylor expansion of (/ 6 (pow v 2)) in v 8.352 * [taylor]: Taking taylor expansion of 6 in v 8.352 * [backup-simplify]: Simplify 6 into 6 8.352 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.352 * [taylor]: Taking taylor expansion of v in v 8.352 * [backup-simplify]: Simplify 0 into 0 8.352 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify (* 1 1) into 1 8.353 * [backup-simplify]: Simplify (/ 6 1) into 6 8.353 * [backup-simplify]: Simplify 6 into 6 8.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)))) into 0 8.355 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.359 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.361 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 6 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (* 6 (pow (/ 1 (/ 1 (- v))) 2)) into (* 6 (pow v 2)) 8.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.368 * [backup-simplify]: Simplify (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) into (* 3 (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2)))))) 8.368 * [approximate]: Taking taylor expansion of (* 3 (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2)))))) in (v) around 0 8.368 * [taylor]: Taking taylor expansion of (* 3 (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2)))))) in v 8.368 * [taylor]: Taking taylor expansion of 3 in v 8.368 * [backup-simplify]: Simplify 3 into 3 8.368 * [taylor]: Taking taylor expansion of (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2))))) in v 8.368 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 8.368 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 8.368 * [taylor]: Taking taylor expansion of 1 in v 8.368 * [backup-simplify]: Simplify 1 into 1 8.368 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.368 * [taylor]: Taking taylor expansion of v in v 8.368 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify 1 into 1 8.368 * [taylor]: Taking taylor expansion of PI in v 8.368 * [backup-simplify]: Simplify PI into PI 8.368 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (pow v 2)))) in v 8.368 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 8.368 * [taylor]: Taking taylor expansion of 2 in v 8.368 * [backup-simplify]: Simplify 2 into 2 8.368 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 8.368 * [taylor]: Taking taylor expansion of 6 in v 8.368 * [backup-simplify]: Simplify 6 into 6 8.368 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.369 * [taylor]: Taking taylor expansion of v in v 8.369 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify 1 into 1 8.369 * [backup-simplify]: Simplify (+ 2 0) into 2 8.369 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.370 * [backup-simplify]: Simplify (+ 0 0) into 0 8.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.370 * [taylor]: Taking taylor expansion of (* 3 (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2)))))) in v 8.370 * [taylor]: Taking taylor expansion of 3 in v 8.370 * [backup-simplify]: Simplify 3 into 3 8.370 * [taylor]: Taking taylor expansion of (* (* (- 1 (pow v 2)) PI) (sqrt (- 2 (* 6 (pow v 2))))) in v 8.370 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 8.371 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 8.371 * [taylor]: Taking taylor expansion of 1 in v 8.371 * [backup-simplify]: Simplify 1 into 1 8.371 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.371 * [taylor]: Taking taylor expansion of v in v 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 1 into 1 8.371 * [taylor]: Taking taylor expansion of PI in v 8.371 * [backup-simplify]: Simplify PI into PI 8.371 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (pow v 2)))) in v 8.371 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 8.371 * [taylor]: Taking taylor expansion of 2 in v 8.371 * [backup-simplify]: Simplify 2 into 2 8.371 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 8.371 * [taylor]: Taking taylor expansion of 6 in v 8.371 * [backup-simplify]: Simplify 6 into 6 8.371 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.371 * [taylor]: Taking taylor expansion of v in v 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify 1 into 1 8.371 * [backup-simplify]: Simplify (+ 2 0) into 2 8.372 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.372 * [backup-simplify]: Simplify (+ 0 0) into 0 8.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.373 * [backup-simplify]: Simplify (+ 1 0) into 1 8.374 * [backup-simplify]: Simplify (* 1 PI) into PI 8.375 * [backup-simplify]: Simplify (* PI (sqrt 2)) into (* (sqrt 2) PI) 8.376 * [backup-simplify]: Simplify (* 3 (* (sqrt 2) PI)) into (* 3 (* (sqrt 2) PI)) 8.378 * [backup-simplify]: Simplify (* 3 (* (sqrt 2) PI)) into (* 3 (* (sqrt 2) PI)) 8.378 * [backup-simplify]: Simplify (+ 0 0) into 0 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 8.380 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (sqrt 2))) into 0 8.381 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (* (sqrt 2) PI))) into 0 8.381 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify (* 1 1) into 1 8.382 * [backup-simplify]: Simplify (* 6 1) into 6 8.382 * [backup-simplify]: Simplify (- 6) into -6 8.383 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.385 * [backup-simplify]: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) 8.385 * [backup-simplify]: Simplify (* 1 1) into 1 8.386 * [backup-simplify]: Simplify (- 1) into -1 8.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1 PI))) into (- PI) 8.395 * [backup-simplify]: Simplify (+ (* PI (/ -3 (sqrt 2))) (+ (* 0 0) (* (- PI) (sqrt 2)))) into (- (+ (* 3 (/ PI (sqrt 2))) (* (sqrt 2) PI))) 8.404 * [backup-simplify]: Simplify (+ (* 3 (- (+ (* 3 (/ PI (sqrt 2))) (* (sqrt 2) PI)))) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))) into (- (+ (* 9 (/ PI (sqrt 2))) (* 3 (* (sqrt 2) PI)))) 8.410 * [backup-simplify]: Simplify (- (+ (* 9 (/ PI (sqrt 2))) (* 3 (* (sqrt 2) PI)))) into (- (+ (* 9 (/ PI (sqrt 2))) (* 3 (* (sqrt 2) PI)))) 8.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.411 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.412 * [backup-simplify]: Simplify (- 0) into 0 8.412 * [backup-simplify]: Simplify (+ 0 0) into 0 8.413 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 8.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.414 * [backup-simplify]: Simplify (- 0) into 0 8.415 * [backup-simplify]: Simplify (+ 0 0) into 0 8.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (* 0 PI)))) into 0 8.418 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ -3 (sqrt 2))) (+ (* (- PI) 0) (* 0 (sqrt 2))))) into 0 8.421 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 (- (+ (* 3 (/ PI (sqrt 2))) (* (sqrt 2) PI)))) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0 8.421 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.423 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.423 * [backup-simplify]: Simplify (- 0) into 0 8.424 * [backup-simplify]: Simplify (+ 0 0) into 0 8.430 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.431 * [backup-simplify]: Simplify (- 0) into 0 8.431 * [backup-simplify]: Simplify (+ 0 0) into 0 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI))))) into 0 8.445 * [backup-simplify]: Simplify (+ (* PI (/ -9/2 (pow (sqrt 2) 3))) (+ (* 0 0) (+ (* (- PI) (/ -3 (sqrt 2))) (+ (* 0 0) (* 0 (sqrt 2)))))) into (- (* 3 (/ PI (sqrt 2))) (* 9/2 (/ PI (pow (sqrt 2) 3)))) 8.459 * [backup-simplify]: Simplify (+ (* 3 (- (* 3 (/ PI (sqrt 2))) (* 9/2 (/ PI (pow (sqrt 2) 3))))) (+ (* 0 0) (+ (* 0 (- (+ (* 3 (/ PI (sqrt 2))) (* (sqrt 2) PI)))) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) 8.465 * [backup-simplify]: Simplify (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) into (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) 8.479 * [backup-simplify]: Simplify (+ (* (- (* 9 (/ PI (sqrt 2))) (* 27/2 (/ PI (pow (sqrt 2) 3)))) (pow v 4)) (+ (* (- (+ (* 9 (/ PI (sqrt 2))) (* 3 (* (sqrt 2) PI)))) (pow v 2)) (* 3 (* (sqrt 2) PI)))) into (- (+ (* 3 (* (sqrt 2) PI)) (* 9 (/ (* (pow v 4) PI) (sqrt 2)))) (+ (* 27/2 (/ (* (pow v 4) PI) (pow (sqrt 2) 3))) (+ (* 3 (* (sqrt 2) (* (pow v 2) PI))) (* 9 (/ (* (pow v 2) PI) (sqrt 2)))))) 8.480 * [backup-simplify]: Simplify (* (* (* 3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v)))))) into (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) 8.480 * [approximate]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in (v) around 0 8.480 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in v 8.480 * [taylor]: Taking taylor expansion of 3 in v 8.480 * [backup-simplify]: Simplify 3 into 3 8.480 * [taylor]: Taking taylor expansion of (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI)) in v 8.480 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.480 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.480 * [taylor]: Taking taylor expansion of 2 in v 8.480 * [backup-simplify]: Simplify 2 into 2 8.480 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.480 * [taylor]: Taking taylor expansion of 6 in v 8.480 * [backup-simplify]: Simplify 6 into 6 8.480 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.480 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.480 * [taylor]: Taking taylor expansion of v in v 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (* 1 1) into 1 8.481 * [backup-simplify]: Simplify (/ 1 1) into 1 8.482 * [backup-simplify]: Simplify (* 6 1) into 6 8.482 * [backup-simplify]: Simplify (- 6) into -6 8.482 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.483 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.485 * [backup-simplify]: Simplify (- 0) into 0 8.486 * [backup-simplify]: Simplify (+ 0 0) into 0 8.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.493 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 8.493 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 8.493 * [taylor]: Taking taylor expansion of 1 in v 8.493 * [backup-simplify]: Simplify 1 into 1 8.493 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.493 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.493 * [taylor]: Taking taylor expansion of v in v 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.494 * [backup-simplify]: Simplify (* 1 1) into 1 8.495 * [backup-simplify]: Simplify (/ 1 1) into 1 8.495 * [taylor]: Taking taylor expansion of PI in v 8.495 * [backup-simplify]: Simplify PI into PI 8.495 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in v 8.495 * [taylor]: Taking taylor expansion of 3 in v 8.495 * [backup-simplify]: Simplify 3 into 3 8.495 * [taylor]: Taking taylor expansion of (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI)) in v 8.495 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.495 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.495 * [taylor]: Taking taylor expansion of 2 in v 8.495 * [backup-simplify]: Simplify 2 into 2 8.495 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.495 * [taylor]: Taking taylor expansion of 6 in v 8.495 * [backup-simplify]: Simplify 6 into 6 8.495 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.495 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.495 * [taylor]: Taking taylor expansion of v in v 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.496 * [backup-simplify]: Simplify (* 1 1) into 1 8.496 * [backup-simplify]: Simplify (/ 1 1) into 1 8.496 * [backup-simplify]: Simplify (* 6 1) into 6 8.497 * [backup-simplify]: Simplify (- 6) into -6 8.497 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.498 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.500 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.500 * [backup-simplify]: Simplify (- 0) into 0 8.500 * [backup-simplify]: Simplify (+ 0 0) into 0 8.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.501 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 8.501 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 8.501 * [taylor]: Taking taylor expansion of 1 in v 8.501 * [backup-simplify]: Simplify 1 into 1 8.501 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.501 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.501 * [taylor]: Taking taylor expansion of v in v 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 1 into 1 8.502 * [backup-simplify]: Simplify (* 1 1) into 1 8.502 * [backup-simplify]: Simplify (/ 1 1) into 1 8.502 * [taylor]: Taking taylor expansion of PI in v 8.502 * [backup-simplify]: Simplify PI into PI 8.503 * [backup-simplify]: Simplify (- 1) into -1 8.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.504 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.505 * [backup-simplify]: Simplify (* (sqrt -6) (* -1 PI)) into (* -1 (* (sqrt -6) PI)) 8.508 * [backup-simplify]: Simplify (* 3 (* -1 (* (sqrt -6) PI))) into (* -3 (* (sqrt -6) PI)) 8.509 * [backup-simplify]: Simplify (* -3 (* (sqrt -6) PI)) into (* -3 (* (sqrt -6) PI)) 8.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.511 * [backup-simplify]: Simplify (- 0) into 0 8.512 * [backup-simplify]: Simplify (+ 0 0) into 0 8.513 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 8.514 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (* 0 (* -1 PI))) into 0 8.515 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (* -1 (* (sqrt -6) PI)))) into 0 8.515 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify (- 0) into 0 8.518 * [backup-simplify]: Simplify (+ 1 0) into 1 8.521 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 PI))) into PI 8.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.524 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.524 * [backup-simplify]: Simplify (- 0) into 0 8.525 * [backup-simplify]: Simplify (+ 2 0) into 2 8.527 * [backup-simplify]: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) 8.534 * [backup-simplify]: Simplify (+ (* (sqrt -6) PI) (+ (* 0 0) (* (/ 1 (sqrt -6)) (* -1 PI)))) into (- (* (sqrt -6) PI) (/ PI (sqrt -6))) 8.541 * [backup-simplify]: Simplify (+ (* 3 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI))))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) 8.546 * [backup-simplify]: Simplify (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.549 * [backup-simplify]: Simplify (- 0) into 0 8.549 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 PI)))) into 0 8.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (- 0) into 0 8.555 * [backup-simplify]: Simplify (+ 0 0) into 0 8.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 8.558 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (+ (* 0 PI) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (* -1 PI))))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI)))))) into 0 8.561 * [backup-simplify]: Simplify 0 into 0 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify (- 0) into 0 8.564 * [backup-simplify]: Simplify (+ 0 0) into 0 8.567 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI))))) into 0 8.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.570 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.571 * [backup-simplify]: Simplify (- 0) into 0 8.571 * [backup-simplify]: Simplify (+ 0 0) into 0 8.578 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) 8.595 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) PI) (+ (* 0 0) (* (/ -1/2 (pow (sqrt -6) 3)) (* -1 PI)))))) into (+ (* 1/2 (/ PI (pow (sqrt -6) 3))) (/ PI (sqrt -6))) 8.609 * [backup-simplify]: Simplify (+ (* 3 (+ (* 1/2 (/ PI (pow (sqrt -6) 3))) (/ PI (sqrt -6)))) (+ (* 0 0) (+ (* 0 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI))))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) 8.615 * [backup-simplify]: Simplify (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) 8.627 * [backup-simplify]: Simplify (+ (* (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (/ 1 v)) (+ (* (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (/ 1 (/ 1 v))) (* (* -3 (* (sqrt -6) PI)) (pow (/ 1 (/ 1 v)) 3)))) into (- (+ (* 3 (* v (* (sqrt -6) PI))) (+ (* 3 (/ PI (* v (sqrt -6)))) (* 3/2 (/ PI (* v (pow (sqrt -6) 3)))))) (+ (* 3 (/ (* v PI) (sqrt -6))) (* 3 (* (pow v 3) (* (sqrt -6) PI))))) 8.628 * [backup-simplify]: Simplify (* (* (* 3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v))))))) into (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) 8.628 * [approximate]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in (v) around 0 8.628 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in v 8.628 * [taylor]: Taking taylor expansion of 3 in v 8.628 * [backup-simplify]: Simplify 3 into 3 8.628 * [taylor]: Taking taylor expansion of (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI)) in v 8.628 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.628 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.628 * [taylor]: Taking taylor expansion of 2 in v 8.628 * [backup-simplify]: Simplify 2 into 2 8.628 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.628 * [taylor]: Taking taylor expansion of 6 in v 8.628 * [backup-simplify]: Simplify 6 into 6 8.628 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.628 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.628 * [taylor]: Taking taylor expansion of v in v 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [backup-simplify]: Simplify (* 1 1) into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.629 * [backup-simplify]: Simplify (* 6 1) into 6 8.629 * [backup-simplify]: Simplify (- 6) into -6 8.629 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.629 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.631 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.631 * [backup-simplify]: Simplify (- 0) into 0 8.631 * [backup-simplify]: Simplify (+ 0 0) into 0 8.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.632 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 8.632 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 8.632 * [taylor]: Taking taylor expansion of 1 in v 8.632 * [backup-simplify]: Simplify 1 into 1 8.632 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.632 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.632 * [taylor]: Taking taylor expansion of v in v 8.632 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify 1 into 1 8.632 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (/ 1 1) into 1 8.632 * [taylor]: Taking taylor expansion of PI in v 8.632 * [backup-simplify]: Simplify PI into PI 8.632 * [taylor]: Taking taylor expansion of (* 3 (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI))) in v 8.632 * [taylor]: Taking taylor expansion of 3 in v 8.632 * [backup-simplify]: Simplify 3 into 3 8.632 * [taylor]: Taking taylor expansion of (* (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) (* (- 1 (/ 1 (pow v 2))) PI)) in v 8.632 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.632 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.632 * [taylor]: Taking taylor expansion of 2 in v 8.632 * [backup-simplify]: Simplify 2 into 2 8.632 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.632 * [taylor]: Taking taylor expansion of 6 in v 8.632 * [backup-simplify]: Simplify 6 into 6 8.632 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.632 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.632 * [taylor]: Taking taylor expansion of v in v 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 1 into 1 8.633 * [backup-simplify]: Simplify (* 1 1) into 1 8.633 * [backup-simplify]: Simplify (/ 1 1) into 1 8.633 * [backup-simplify]: Simplify (* 6 1) into 6 8.638 * [backup-simplify]: Simplify (- 6) into -6 8.639 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.639 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.640 * [backup-simplify]: Simplify (- 0) into 0 8.641 * [backup-simplify]: Simplify (+ 0 0) into 0 8.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.641 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 8.641 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 8.641 * [taylor]: Taking taylor expansion of 1 in v 8.641 * [backup-simplify]: Simplify 1 into 1 8.641 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.641 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.641 * [taylor]: Taking taylor expansion of v in v 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 1 into 1 8.642 * [backup-simplify]: Simplify (* 1 1) into 1 8.642 * [backup-simplify]: Simplify (/ 1 1) into 1 8.642 * [taylor]: Taking taylor expansion of PI in v 8.642 * [backup-simplify]: Simplify PI into PI 8.642 * [backup-simplify]: Simplify (- 1) into -1 8.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.643 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.644 * [backup-simplify]: Simplify (* (sqrt -6) (* -1 PI)) into (* -1 (* (sqrt -6) PI)) 8.645 * [backup-simplify]: Simplify (* 3 (* -1 (* (sqrt -6) PI))) into (* -3 (* (sqrt -6) PI)) 8.646 * [backup-simplify]: Simplify (* -3 (* (sqrt -6) PI)) into (* -3 (* (sqrt -6) PI)) 8.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (- 0) into 0 8.648 * [backup-simplify]: Simplify (+ 0 0) into 0 8.648 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 8.649 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (* 0 (* -1 PI))) into 0 8.650 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (* -1 (* (sqrt -6) PI)))) into 0 8.650 * [backup-simplify]: Simplify 0 into 0 8.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.651 * [backup-simplify]: Simplify (- 0) into 0 8.651 * [backup-simplify]: Simplify (+ 1 0) into 1 8.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 PI))) into PI 8.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.655 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.655 * [backup-simplify]: Simplify (- 0) into 0 8.656 * [backup-simplify]: Simplify (+ 2 0) into 2 8.657 * [backup-simplify]: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) 8.661 * [backup-simplify]: Simplify (+ (* (sqrt -6) PI) (+ (* 0 0) (* (/ 1 (sqrt -6)) (* -1 PI)))) into (- (* (sqrt -6) PI) (/ PI (sqrt -6))) 8.668 * [backup-simplify]: Simplify (+ (* 3 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI))))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) 8.672 * [backup-simplify]: Simplify (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) into (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) 8.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (- 0) into 0 8.675 * [backup-simplify]: Simplify (+ 0 0) into 0 8.677 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 PI)))) into 0 8.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.680 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.681 * [backup-simplify]: Simplify (- 0) into 0 8.681 * [backup-simplify]: Simplify (+ 0 0) into 0 8.683 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 8.685 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (+ (* 0 PI) (+ (* (/ 1 (sqrt -6)) 0) (* 0 (* -1 PI))))) into 0 8.688 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI)))))) into 0 8.688 * [backup-simplify]: Simplify 0 into 0 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.690 * [backup-simplify]: Simplify (- 0) into 0 8.691 * [backup-simplify]: Simplify (+ 0 0) into 0 8.692 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI))))) into 0 8.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.696 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.696 * [backup-simplify]: Simplify (- 0) into 0 8.697 * [backup-simplify]: Simplify (+ 0 0) into 0 8.703 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) 8.719 * [backup-simplify]: Simplify (+ (* (sqrt -6) 0) (+ (* 0 0) (+ (* (/ 1 (sqrt -6)) PI) (+ (* 0 0) (* (/ -1/2 (pow (sqrt -6) 3)) (* -1 PI)))))) into (+ (* 1/2 (/ PI (pow (sqrt -6) 3))) (/ PI (sqrt -6))) 8.733 * [backup-simplify]: Simplify (+ (* 3 (+ (* 1/2 (/ PI (pow (sqrt -6) 3))) (/ PI (sqrt -6)))) (+ (* 0 0) (+ (* 0 (- (* (sqrt -6) PI) (/ PI (sqrt -6)))) (+ (* 0 0) (* 0 (* -1 (* (sqrt -6) PI))))))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) 8.740 * [backup-simplify]: Simplify (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) into (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) 8.753 * [backup-simplify]: Simplify (+ (* (+ (* 3/2 (/ PI (pow (sqrt -6) 3))) (* 3 (/ PI (sqrt -6)))) (/ 1 (- v))) (+ (* (- (* 3 (* (sqrt -6) PI)) (* 3 (/ PI (sqrt -6)))) (/ 1 (/ 1 (- v)))) (* (* -3 (* (sqrt -6) PI)) (pow (/ 1 (/ 1 (- v))) 3)))) into (- (+ (* 3 (/ (* v PI) (sqrt -6))) (* 3 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 3 (/ PI (* v (sqrt -6)))) (+ (* 3 (* v (* (sqrt -6) PI))) (* 3/2 (/ PI (* v (pow (sqrt -6) 3))))))) 8.753 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 8.754 * [backup-simplify]: Simplify (sqrt (- 2 (* 6 (* v v)))) into (sqrt (- 2 (* 6 (pow v 2)))) 8.754 * [approximate]: Taking taylor expansion of (sqrt (- 2 (* 6 (pow v 2)))) in (v) around 0 8.754 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (pow v 2)))) in v 8.754 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 8.754 * [taylor]: Taking taylor expansion of 2 in v 8.754 * [backup-simplify]: Simplify 2 into 2 8.754 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 8.754 * [taylor]: Taking taylor expansion of 6 in v 8.754 * [backup-simplify]: Simplify 6 into 6 8.754 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.754 * [taylor]: Taking taylor expansion of v in v 8.754 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify 1 into 1 8.754 * [backup-simplify]: Simplify (+ 2 0) into 2 8.755 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.755 * [backup-simplify]: Simplify (+ 0 0) into 0 8.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.756 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (pow v 2)))) in v 8.756 * [taylor]: Taking taylor expansion of (- 2 (* 6 (pow v 2))) in v 8.756 * [taylor]: Taking taylor expansion of 2 in v 8.756 * [backup-simplify]: Simplify 2 into 2 8.756 * [taylor]: Taking taylor expansion of (* 6 (pow v 2)) in v 8.756 * [taylor]: Taking taylor expansion of 6 in v 8.756 * [backup-simplify]: Simplify 6 into 6 8.756 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.756 * [taylor]: Taking taylor expansion of v in v 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.757 * [backup-simplify]: Simplify (+ 2 0) into 2 8.757 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.758 * [backup-simplify]: Simplify (+ 0 0) into 0 8.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.759 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify (* 1 1) into 1 8.760 * [backup-simplify]: Simplify (* 6 1) into 6 8.760 * [backup-simplify]: Simplify (- 6) into -6 8.760 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.773 * [backup-simplify]: Simplify (/ (- -6 (pow 0 2) (+)) (* 2 (sqrt 2))) into (/ -3 (sqrt 2)) 8.774 * [backup-simplify]: Simplify (/ -3 (sqrt 2)) into (/ -3 (sqrt 2)) 8.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.775 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.776 * [backup-simplify]: Simplify (- 0) into 0 8.776 * [backup-simplify]: Simplify (+ 0 0) into 0 8.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -3 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 8.778 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.780 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.780 * [backup-simplify]: Simplify (- 0) into 0 8.781 * [backup-simplify]: Simplify (+ 0 0) into 0 8.787 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -3 (sqrt 2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (/ -9/2 (pow (sqrt 2) 3)) 8.789 * [backup-simplify]: Simplify (/ -9/2 (pow (sqrt 2) 3)) into (/ -9/2 (pow (sqrt 2) 3)) 8.792 * [backup-simplify]: Simplify (+ (* (/ -9/2 (pow (sqrt 2) 3)) (pow v 4)) (+ (* (/ -3 (sqrt 2)) (pow v 2)) (sqrt 2))) into (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) 8.793 * [backup-simplify]: Simplify (sqrt (- 2 (* 6 (* (/ 1 v) (/ 1 v))))) into (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) 8.793 * [approximate]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in (v) around 0 8.793 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.793 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.793 * [taylor]: Taking taylor expansion of 2 in v 8.793 * [backup-simplify]: Simplify 2 into 2 8.793 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.793 * [taylor]: Taking taylor expansion of 6 in v 8.793 * [backup-simplify]: Simplify 6 into 6 8.793 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.793 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.793 * [taylor]: Taking taylor expansion of v in v 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify 1 into 1 8.793 * [backup-simplify]: Simplify (* 1 1) into 1 8.794 * [backup-simplify]: Simplify (/ 1 1) into 1 8.794 * [backup-simplify]: Simplify (* 6 1) into 6 8.795 * [backup-simplify]: Simplify (- 6) into -6 8.795 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.795 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.798 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.798 * [backup-simplify]: Simplify (- 0) into 0 8.799 * [backup-simplify]: Simplify (+ 0 0) into 0 8.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.799 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.799 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.799 * [taylor]: Taking taylor expansion of 2 in v 8.800 * [backup-simplify]: Simplify 2 into 2 8.800 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.800 * [taylor]: Taking taylor expansion of 6 in v 8.800 * [backup-simplify]: Simplify 6 into 6 8.800 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.800 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.800 * [taylor]: Taking taylor expansion of v in v 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.800 * [backup-simplify]: Simplify (* 1 1) into 1 8.801 * [backup-simplify]: Simplify (/ 1 1) into 1 8.801 * [backup-simplify]: Simplify (* 6 1) into 6 8.801 * [backup-simplify]: Simplify (- 6) into -6 8.802 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.802 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.804 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.805 * [backup-simplify]: Simplify (- 0) into 0 8.805 * [backup-simplify]: Simplify (+ 0 0) into 0 8.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.806 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.806 * [backup-simplify]: Simplify 0 into 0 8.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.809 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.809 * [backup-simplify]: Simplify (- 0) into 0 8.809 * [backup-simplify]: Simplify (+ 2 0) into 2 8.812 * [backup-simplify]: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) 8.813 * [backup-simplify]: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (- 0) into 0 8.816 * [backup-simplify]: Simplify (+ 0 0) into 0 8.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 8.816 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.818 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.819 * [backup-simplify]: Simplify (- 0) into 0 8.819 * [backup-simplify]: Simplify (+ 0 0) into 0 8.822 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) 8.823 * [backup-simplify]: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) 8.825 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 v) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 v)) (* (sqrt -6) (/ 1 (/ 1 v))))) into (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) 8.826 * [backup-simplify]: Simplify (sqrt (- 2 (* 6 (* (/ 1 (- v)) (/ 1 (- v)))))) into (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) 8.826 * [approximate]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in (v) around 0 8.826 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.826 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.826 * [taylor]: Taking taylor expansion of 2 in v 8.826 * [backup-simplify]: Simplify 2 into 2 8.826 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.826 * [taylor]: Taking taylor expansion of 6 in v 8.826 * [backup-simplify]: Simplify 6 into 6 8.826 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.826 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.826 * [taylor]: Taking taylor expansion of v in v 8.826 * [backup-simplify]: Simplify 0 into 0 8.826 * [backup-simplify]: Simplify 1 into 1 8.826 * [backup-simplify]: Simplify (* 1 1) into 1 8.826 * [backup-simplify]: Simplify (/ 1 1) into 1 8.827 * [backup-simplify]: Simplify (* 6 1) into 6 8.827 * [backup-simplify]: Simplify (- 6) into -6 8.827 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.827 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.829 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.829 * [backup-simplify]: Simplify (- 0) into 0 8.829 * [backup-simplify]: Simplify (+ 0 0) into 0 8.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.830 * [taylor]: Taking taylor expansion of (sqrt (- 2 (* 6 (/ 1 (pow v 2))))) in v 8.830 * [taylor]: Taking taylor expansion of (- 2 (* 6 (/ 1 (pow v 2)))) in v 8.830 * [taylor]: Taking taylor expansion of 2 in v 8.830 * [backup-simplify]: Simplify 2 into 2 8.830 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow v 2))) in v 8.830 * [taylor]: Taking taylor expansion of 6 in v 8.830 * [backup-simplify]: Simplify 6 into 6 8.830 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 8.830 * [taylor]: Taking taylor expansion of (pow v 2) in v 8.830 * [taylor]: Taking taylor expansion of v in v 8.830 * [backup-simplify]: Simplify 0 into 0 8.830 * [backup-simplify]: Simplify 1 into 1 8.830 * [backup-simplify]: Simplify (* 1 1) into 1 8.830 * [backup-simplify]: Simplify (/ 1 1) into 1 8.831 * [backup-simplify]: Simplify (* 6 1) into 6 8.831 * [backup-simplify]: Simplify (- 6) into -6 8.831 * [backup-simplify]: Simplify (+ 0 -6) into -6 8.831 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (+ (* 6 0) (* 0 1)) into 0 8.833 * [backup-simplify]: Simplify (- 0) into 0 8.833 * [backup-simplify]: Simplify (+ 0 0) into 0 8.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -6))) into 0 8.834 * [backup-simplify]: Simplify (sqrt -6) into (sqrt -6) 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (* 0 1))) into 0 8.836 * [backup-simplify]: Simplify (- 0) into 0 8.836 * [backup-simplify]: Simplify (+ 2 0) into 2 8.838 * [backup-simplify]: Simplify (/ (- 2 (pow 0 2) (+)) (* 2 (sqrt -6))) into (/ 1 (sqrt -6)) 8.838 * [backup-simplify]: Simplify (/ 1 (sqrt -6)) into (/ 1 (sqrt -6)) 8.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.841 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.841 * [backup-simplify]: Simplify (- 0) into 0 8.841 * [backup-simplify]: Simplify (+ 0 0) into 0 8.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqrt -6)))))) (* 2 (sqrt -6))) into 0 8.842 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.844 * [backup-simplify]: Simplify (+ (* 6 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.844 * [backup-simplify]: Simplify (- 0) into 0 8.845 * [backup-simplify]: Simplify (+ 0 0) into 0 8.848 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1 (sqrt -6)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -6))) into (/ -1/2 (pow (sqrt -6) 3)) 8.849 * [backup-simplify]: Simplify (/ -1/2 (pow (sqrt -6) 3)) into (/ -1/2 (pow (sqrt -6) 3)) 8.851 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow (sqrt -6) 3)) (pow (/ 1 (- v)) 3)) (+ (* (/ 1 (sqrt -6)) (/ 1 (- v))) (* (sqrt -6) (/ 1 (/ 1 (- v)))))) into (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) 8.851 * * * [progress]: simplifying candidates 8.851 * * * * [progress]: [ 1 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 2 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 3 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 4 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 5 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 6 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 7 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 8 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 9 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 10 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 11 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 12 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 13 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 14 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 15 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 16 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 17 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 18 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 19 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 20 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 21 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 22 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 23 / 119 ] simplifiying candidate # 8.852 * * * * [progress]: [ 24 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 25 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 26 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 27 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 28 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 29 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 30 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 31 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 32 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 33 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 34 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 35 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 36 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 37 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 38 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 39 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 40 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 41 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 42 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 43 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 44 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 45 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 46 / 119 ] simplifiying candidate # 8.853 * * * * [progress]: [ 47 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 48 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 49 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 50 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 51 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 52 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 53 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 54 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 55 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 56 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 57 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 58 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 59 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 60 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 61 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 62 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 63 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 64 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 65 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 66 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 67 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 68 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 69 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 70 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 71 / 119 ] simplifiying candidate # 8.854 * * * * [progress]: [ 72 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 73 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 74 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 75 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 76 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 77 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 78 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 79 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 80 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 81 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 82 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 83 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 84 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 85 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 86 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 87 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 88 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 89 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 90 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 91 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 92 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 93 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 94 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 95 / 119 ] simplifiying candidate # 8.855 * * * * [progress]: [ 96 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 97 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 98 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 99 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 100 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 101 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 102 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 103 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 104 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 105 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 106 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 107 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 108 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 109 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 110 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 111 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 112 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 113 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 114 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 115 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 116 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 117 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 118 / 119 ] simplifiying candidate # 8.856 * * * * [progress]: [ 119 / 119 ] simplifiying candidate # 8.858 * [simplify]: Simplifying: (expm1 (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (log1p (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (- (log 4) (+ (+ (+ (log 3) (log PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v))))))) (- (log 4) (+ (+ (log (* 3 PI)) (log (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v))))))) (- (log 4) (+ (log (* (* 3 PI) (- 1 (* v v)))) (log (sqrt (- 2 (* 6 (* v v))))))) (- (log 4) (log (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (log (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (exp (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (/ (* (* 4 4) 4) (* (* (* (* (* 3 3) 3) (* (* PI PI) PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) (/ (* (* 4 4) 4) (* (* (* (* (* 3 PI) (* 3 PI)) (* 3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) (/ (* (* 4 4) 4) (* (* (* (* (* 3 PI) (- 1 (* v v))) (* (* 3 PI) (- 1 (* v v)))) (* (* 3 PI) (- 1 (* v v)))) (* (* (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 2 (* 6 (* v v))))) (sqrt (- 2 (* 6 (* v v))))))) (/ (* (* 4 4) 4) (* (* (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (* (cbrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (cbrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))))) (cbrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (* (* (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (sqrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (sqrt (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))) (- 4) (- (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (* (cbrt 4) (cbrt 4)) (* (* 3 PI) (- 1 (* v v)))) (/ (cbrt 4) (sqrt (- 2 (* 6 (* v v))))) (/ (sqrt 4) (* (* 3 PI) (- 1 (* v v)))) (/ (sqrt 4) (sqrt (- 2 (* 6 (* v v))))) (/ 1 (* (* 3 PI) (- 1 (* v v)))) (/ 4 (sqrt (- 2 (* 6 (* v v))))) (/ 1 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 4) (/ 4 (* (* 3 PI) (- 1 (* v v)))) (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (cbrt 4)) (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (sqrt 4)) (/ (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) 4) (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (pow 2 3) (pow (* 6 (* v v)) 3))))) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- (* 2 2) (* (* 6 (* v v)) (* 6 (* v v))))))) (/ 4 (* (* (* 3 PI) (- (pow 1 3) (pow (* v v) 3))) (sqrt (- 2 (* 6 (* v v)))))) (/ 4 (* (* (* 3 PI) (- (* 1 1) (* (* v v) (* v v)))) (sqrt (- 2 (* 6 (* v v)))))) (expm1 (* 6 (* v v))) (log1p (* 6 (* v v))) (* 6 (* v v)) (* 6 (* v v)) (+ (log 6) (+ (log v) (log v))) (+ (log 6) (log (* v v))) (log (* 6 (* v v))) (exp (* 6 (* v v))) (* (* (* 6 6) 6) (* (* (* v v) v) (* (* v v) v))) (* (* (* 6 6) 6) (* (* (* v v) (* v v)) (* v v))) (* (cbrt (* 6 (* v v))) (cbrt (* 6 (* v v)))) (cbrt (* 6 (* v v))) (* (* (* 6 (* v v)) (* 6 (* v v))) (* 6 (* v v))) (sqrt (* 6 (* v v))) (sqrt (* 6 (* v v))) (* (sqrt 6) v) (* (sqrt 6) v) (* 6 v) (* (cbrt 6) (* v v)) (* (sqrt 6) (* v v)) (* 6 (* v v)) (expm1 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log1p (* (* (* 3 PI) 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1/2))) (+ (* 4/3 (/ (sqrt 1/2) PI)) (+ (* 4/3 (/ (* (pow v 2) (sqrt 1/2)) PI)) (* 4/3 (/ (* (pow v 4) (sqrt 1/2)) PI)))))) (* 3/8 (/ (pow v 4) (* PI (pow (sqrt 1/2) 3))))) (- (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6))))))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI)))))) (- (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 7) PI))) (+ (* 4/3 (/ (sqrt -1/6) (* (pow v 3) PI))) (* 4/3 (/ (sqrt -1/6) (* (pow v 5) PI))))) (+ (* 1/1944 (/ 1 (* (pow v 7) (* PI (pow (sqrt -1/6) 3))))) (+ (* 4/81 (/ 1 (* (pow v 7) (* PI (sqrt -1/6))))) (* 1/27 (/ 1 (* (pow v 5) (* PI (sqrt -1/6)))))))) (* 6 (pow v 2)) (* 6 (pow v 2)) (* 6 (pow v 2)) (- (+ (* 3 (* (sqrt 2) PI)) (* 9 (/ (* (pow v 4) PI) (sqrt 2)))) (+ (* 27/2 (/ (* (pow v 4) PI) (pow (sqrt 2) 3))) (+ (* 3 (* (sqrt 2) (* (pow v 2) PI))) (* 9 (/ (* (pow v 2) PI) (sqrt 2)))))) (- (+ (* 3 (* v (* (sqrt -6) PI))) (+ (* 3 (/ PI (* v (sqrt -6)))) (* 3/2 (/ PI (* v (pow (sqrt -6) 3)))))) (+ (* 3 (/ (* v PI) (sqrt -6))) (* 3 (* (pow v 3) (* (sqrt -6) PI))))) (- (+ (* 3 (/ (* v PI) (sqrt -6))) (* 3 (* (pow v 3) (* (sqrt -6) PI)))) (+ (* 3 (/ PI (* v (sqrt -6)))) (+ (* 3 (* v (* (sqrt -6) PI))) (* 3/2 (/ PI (* v (pow (sqrt -6) 3))))))) (- (sqrt 2) (+ (* 9/2 (/ (pow v 4) (pow (sqrt 2) 3))) (* 3 (/ (pow v 2) (sqrt 2))))) (- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3))))) (- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6)))) 8.860 * * [simplify]: iteration 1: (306 enodes) 9.052 * * [simplify]: iteration 2: (918 enodes) 11.357 * * [simplify]: Extracting #0: cost 99 inf + 0 11.359 * * [simplify]: Extracting #1: cost 553 inf + 3 11.365 * * [simplify]: Extracting #2: cost 1006 inf + 5924 11.379 * * [simplify]: Extracting #3: cost 961 inf + 44453 11.429 * * [simplify]: Extracting #4: cost 495 inf + 156428 11.495 * * [simplify]: Extracting #5: cost 222 inf + 240732 11.606 * * [simplify]: Extracting #6: cost 85 inf + 288077 11.731 * * [simplify]: Extracting #7: cost 11 inf + 333479 11.820 * * [simplify]: Extracting #8: cost 0 inf + 344591 11.940 * * [simplify]: Extracting #9: cost 0 inf + 344576 12.070 * [simplify]: Simplified to: (expm1 (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log1p (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (log (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (exp (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) (/ (/ 64/27 (* (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))) (* (* PI PI) PI))) (* (sqrt (- 2 (* 6 (* v v)))) (- 2 (* 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(sqrt (cbrt (- 2 (* 6 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))) 1 (sqrt (- 2 (* 6 (* v v)))) (sqrt (- 8 (* (* (* (* v v) (* v v)) 216) (* v v)))) (sqrt (fma (* 6 (* v v)) (fma 6 (* v v) 2) 4)) (sqrt (- 4 (* (* 6 (* v v)) (* 6 (* v v))))) (sqrt (fma 6 (* v v) 2)) 1/2 (sqrt (sqrt (- 2 (* 6 (* v v))))) (sqrt (sqrt (- 2 (* 6 (* v v))))) (fma 4 (* (/ (* v v) PI) (/ (* v v) (sqrt 1/2))) (+ (fma 4/3 (+ (* (/ (* v v) PI) (sqrt 1/2)) (/ (* (* v v) (* v v)) (/ PI (sqrt 1/2)))) (/ 4/3 (/ PI (sqrt 1/2)))) (- (/ (* v v) (* (sqrt 1/2) PI)) (/ (* (/ (* (* v v) (* v v)) PI) 3/8) (* (sqrt 1/2) 1/2))))) (+ (+ (/ 1/27 (* (* PI (* (* (* v v) v) (* v v))) (sqrt -1/6))) (- (/ 4/81 (* (* (sqrt -1/6) PI) (pow v 7))) (* 4/3 (+ (/ (/ (sqrt -1/6) (pow v 7)) PI) (+ (/ (sqrt -1/6) (* (* PI v) (* v v))) (/ (sqrt -1/6) (* PI (* (* (* v v) v) (* v v))))))))) (/ 1/1944 (* (pow v 7) (* (sqrt -1/6) (* -1/6 PI))))) (- (- (* 4/3 (+ (/ (/ (sqrt -1/6) (pow v 7)) PI) (+ (/ (sqrt -1/6) (* (* PI v) (* v v))) (/ (sqrt -1/6) (* PI (* (* (* v v) v) (* v v))))))) (+ (/ 1/1944 (* (pow v 7) (* (sqrt -1/6) (* -1/6 PI)))) (/ 4/81 (* (* (sqrt -1/6) PI) (pow v 7))))) (/ 1/27 (* (* PI (* (* (* v v) v) (* v v))) (sqrt -1/6)))) (* 6 (* v v)) (* 6 (* v v)) (* 6 (* v v)) (- (fma 9 (/ (* (* v v) (* v v)) (/ (sqrt 2) PI)) (* 3 (* (sqrt 2) PI))) (+ (* 27/4 (/ (* (* v v) (* v v)) (/ (sqrt 2) PI))) (fma 3 (* (sqrt 2) (* (* v v) PI)) (* 9 (/ (* (* v v) PI) (sqrt 2)))))) (fma 3 (* (* PI v) (sqrt -6)) (- (fma (/ (/ PI v) (* (sqrt -6) -6)) 3/2 (/ (/ (* PI 3) (sqrt -6)) v)) (* 3 (+ (/ (* PI v) (sqrt -6)) (* (sqrt -6) (* (* PI v) (* v v))))))) (- (* 3 (- (+ (/ (* PI v) (sqrt -6)) (* (sqrt -6) (* (* PI v) (* v v)))) (/ (/ PI v) (sqrt -6)))) (fma (* (* PI v) (sqrt -6)) 3 (/ (* 3/2 PI) (* (* v -6) (sqrt -6))))) (- (sqrt 2) (fma (/ (* v v) (sqrt 2)) 3 (* 9/4 (/ (* (* v v) (* v v)) (sqrt 2))))) (- (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6))) (/ 1/2 (* (* (* (* v v) v) -6) (sqrt -6)))) (- (/ 1/2 (* (* (* (* v v) v) -6) (sqrt -6))) (fma (sqrt -6) v (/ (/ 1 v) (sqrt -6)))) 12.088 * * * [progress]: adding candidates to table 13.285 * [progress]: [Phase 3 of 3] Extracting. 13.286 * * [regime]: Finding splitpoints for: (# #) 13.286 * * * [regime-changes]: Trying 4 branch expressions: ((* v v) (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) v) 13.286 * * * * [regimes]: Trying to branch on (* v v) from (# #) 13.301 * * * * [regimes]: Trying to branch on (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))) from (# #) 13.328 * * * * [regimes]: Trying to branch on (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) from (# #) 13.366 * * * * [regimes]: Trying to branch on v from (# #) 13.383 * * * [regime]: Found split indices: #