22.891 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.095 * * * [progress]: [2/2] Setting up program. 0.098 * [progress]: [Phase 2 of 3] Improving. 0.098 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.098 * [simplify]: Simplifying: (/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))) 0.099 * * [simplify]: iteration 0: 16 enodes 0.104 * * [simplify]: iteration 1: 34 enodes 0.112 * * [simplify]: iteration 2: 89 enodes 0.149 * * [simplify]: iteration 3: 256 enodes 0.317 * * [simplify]: iteration 4: 1057 enodes 1.041 * * [simplify]: iteration 5: 2036 enodes 1.438 * * [simplify]: iteration complete: 2036 enodes 1.438 * * [simplify]: Extracting #0: cost 1 inf + 0 1.438 * * [simplify]: Extracting #1: cost 5 inf + 0 1.439 * * [simplify]: Extracting #2: cost 143 inf + 1 1.442 * * [simplify]: Extracting #3: cost 518 inf + 299 1.449 * * [simplify]: Extracting #4: cost 474 inf + 11293 1.464 * * [simplify]: Extracting #5: cost 295 inf + 32780 1.494 * * [simplify]: Extracting #6: cost 14 inf + 97441 1.524 * * [simplify]: Extracting #7: cost 0 inf + 100718 1.567 * [simplify]: Simplified to: (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) 1.574 * * [progress]: iteration 1 / 4 1.574 * * * [progress]: picking best candidate 1.579 * * * * [pick]: Picked # 1.579 * * * [progress]: localizing error 1.607 * * * [progress]: generating rewritten candidates 1.607 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1) 1.614 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.645 * * * [progress]: generating series expansions 1.646 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1) 1.646 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.647 * [backup-simplify]: Simplify (/ (/ 4/3 PI) (- 1 (* v v))) into (/ 4/3 (* (- 1 (pow v 2)) PI)) 1.647 * [approximate]: Taking taylor expansion of (/ 4/3 (* (- 1 (pow v 2)) PI)) in (v) around 0 1.647 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (pow v 2)) PI)) in v 1.647 * [taylor]: Taking taylor expansion of 4/3 in v 1.647 * [backup-simplify]: Simplify 4/3 into 4/3 1.647 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 1.647 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 1.647 * [taylor]: Taking taylor expansion of 1 in v 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.647 * [taylor]: Taking taylor expansion of v in v 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of PI in v 1.647 * [backup-simplify]: Simplify PI into PI 1.648 * [backup-simplify]: Simplify (+ 1 0) into 1 1.648 * [backup-simplify]: Simplify (* 1 PI) into PI 1.649 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 1.649 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (pow v 2)) PI)) in v 1.649 * [taylor]: Taking taylor expansion of 4/3 in v 1.649 * [backup-simplify]: Simplify 4/3 into 4/3 1.649 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 1.649 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 1.649 * [taylor]: Taking taylor expansion of 1 in v 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.649 * [taylor]: Taking taylor expansion of v in v 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [taylor]: Taking taylor expansion of PI in v 1.649 * [backup-simplify]: Simplify PI into PI 1.650 * [backup-simplify]: Simplify (+ 1 0) into 1 1.650 * [backup-simplify]: Simplify (* 1 PI) into PI 1.651 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 1.651 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 1.654 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (* 1 1) into 1 1.655 * [backup-simplify]: Simplify (- 1) into -1 1.655 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1 PI))) into (- PI) 1.665 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 1.666 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.667 * [backup-simplify]: Simplify (- 0) into 0 1.667 * [backup-simplify]: Simplify (+ 0 0) into 0 1.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (* 0 PI)))) into 0 1.669 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 1.669 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI))))) into 0 1.677 * [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)) 1.678 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 1.679 * [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)))) 1.680 * [backup-simplify]: Simplify (/ (/ 4/3 PI) (- 1 (* (/ 1 v) (/ 1 v)))) into (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) 1.680 * [approximate]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in (v) around 0 1.680 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in v 1.680 * [taylor]: Taking taylor expansion of 4/3 in v 1.680 * [backup-simplify]: Simplify 4/3 into 4/3 1.680 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 1.680 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 1.680 * [taylor]: Taking taylor expansion of 1 in v 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.680 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.680 * [taylor]: Taking taylor expansion of v in v 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (* 1 1) into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [taylor]: Taking taylor expansion of PI in v 1.680 * [backup-simplify]: Simplify PI into PI 1.681 * [backup-simplify]: Simplify (- 1) into -1 1.681 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.681 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.682 * [backup-simplify]: Simplify (/ 4/3 (* -1 PI)) into (/ -4/3 PI) 1.682 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in v 1.682 * [taylor]: Taking taylor expansion of 4/3 in v 1.682 * [backup-simplify]: Simplify 4/3 into 4/3 1.682 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 1.682 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 1.682 * [taylor]: Taking taylor expansion of 1 in v 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.682 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.682 * [taylor]: Taking taylor expansion of v in v 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (* 1 1) into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [taylor]: Taking taylor expansion of PI in v 1.683 * [backup-simplify]: Simplify PI into PI 1.683 * [backup-simplify]: Simplify (- 1) into -1 1.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.683 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.684 * [backup-simplify]: Simplify (/ 4/3 (* -1 PI)) into (/ -4/3 PI) 1.685 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (- 0) into 0 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.688 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify (+ 1 0) into 1 1.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 PI))) into PI 1.696 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (* 4/3 (/ 1 PI))) 1.697 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (- 0) into 0 1.699 * [backup-simplify]: Simplify (+ 0 0) into 0 1.699 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 PI)))) into 0 1.701 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))) (* 0 (/ PI (* -1 PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (* -1 PI))))) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (- 0) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI))))) into 0 1.711 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (* 4/3 (/ 1 PI))) 1.713 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 1.715 * [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)))))) 1.716 * [backup-simplify]: Simplify (/ (/ 4/3 PI) (- 1 (* (/ 1 (- v)) (/ 1 (- v))))) into (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) 1.716 * [approximate]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in (v) around 0 1.716 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in v 1.716 * [taylor]: Taking taylor expansion of 4/3 in v 1.716 * [backup-simplify]: Simplify 4/3 into 4/3 1.716 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 1.716 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 1.716 * [taylor]: Taking taylor expansion of 1 in v 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.716 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.716 * [taylor]: Taking taylor expansion of v in v 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* 1 1) into 1 1.717 * [backup-simplify]: Simplify (/ 1 1) into 1 1.717 * [taylor]: Taking taylor expansion of PI in v 1.717 * [backup-simplify]: Simplify PI into PI 1.717 * [backup-simplify]: Simplify (- 1) into -1 1.717 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.717 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.718 * [backup-simplify]: Simplify (/ 4/3 (* -1 PI)) into (/ -4/3 PI) 1.718 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in v 1.718 * [taylor]: Taking taylor expansion of 4/3 in v 1.718 * [backup-simplify]: Simplify 4/3 into 4/3 1.718 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 1.718 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 1.718 * [taylor]: Taking taylor expansion of 1 in v 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 1.718 * [taylor]: Taking taylor expansion of (pow v 2) in v 1.718 * [taylor]: Taking taylor expansion of v in v 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (* 1 1) into 1 1.719 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [taylor]: Taking taylor expansion of PI in v 1.719 * [backup-simplify]: Simplify PI into PI 1.719 * [backup-simplify]: Simplify (- 1) into -1 1.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.720 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.720 * [backup-simplify]: Simplify (/ 4/3 (* -1 PI)) into (/ -4/3 PI) 1.721 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- 0) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.723 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))))) into 0 1.723 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (- 0) into 0 1.725 * [backup-simplify]: Simplify (+ 1 0) into 1 1.727 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 PI))) into PI 1.739 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (* 4/3 (/ 1 PI))) 1.741 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (- 0) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 PI)))) into 0 1.748 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))) (* 0 (/ PI (* -1 PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (* -1 PI))))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (- 0) into 0 1.751 * [backup-simplify]: Simplify (+ 0 0) into 0 1.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI))))) into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (* 4/3 (/ 1 PI))) 1.769 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 1.774 * [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)))))) 1.775 * * * [progress]: simplifying candidates 1.775 * * * * [progress]: [ 1 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 2 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 3 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 4 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 5 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 6 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 7 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 8 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 9 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 10 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 11 / 137 ] simplifiying candidate # 1.775 * * * * [progress]: [ 12 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 13 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 14 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 15 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 16 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 17 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 18 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 19 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 20 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 21 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 22 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 23 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 24 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 25 / 137 ] simplifiying candidate # 1.776 * * * * [progress]: [ 26 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 27 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 28 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 29 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 30 / 137 ] simplifiying candidate #real (real->posit16 (/ 4/3 PI))) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))))> 1.777 * * * * [progress]: [ 31 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 32 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 33 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 34 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 35 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 36 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 37 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 38 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 39 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 40 / 137 ] simplifiying candidate # 1.777 * * * * [progress]: [ 41 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 42 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 43 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 44 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 45 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 46 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 47 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 48 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 49 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 50 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 51 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 52 / 137 ] simplifiying candidate # 1.778 * * * * [progress]: [ 53 / 137 ] simplifiying candidate # 1.779 * * * * [progress]: [ 54 / 137 ] simplifiying candidate # 1.780 * * * * [progress]: [ 55 / 137 ] simplifiying candidate # 1.780 * * * * [progress]: [ 56 / 137 ] simplifiying candidate # 1.780 * * * * [progress]: [ 57 / 137 ] simplifiying candidate # 1.780 * * * * [progress]: [ 58 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 59 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 60 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 61 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 62 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 63 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 64 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 65 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 66 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 67 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 68 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 69 / 137 ] simplifiying candidate # 1.781 * * * * [progress]: [ 70 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 71 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 72 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 73 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 74 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 75 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 76 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 77 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 78 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 79 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 80 / 137 ] simplifiying candidate # 1.782 * * * * [progress]: [ 81 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 82 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 83 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 84 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 85 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 86 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 87 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 88 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 89 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 90 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 91 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 92 / 137 ] simplifiying candidate # 1.783 * * * * [progress]: [ 93 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 94 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 95 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 96 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 97 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 98 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 99 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 100 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 101 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 102 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 103 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 104 / 137 ] simplifiying candidate # 1.784 * * * * [progress]: [ 105 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 106 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 107 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 108 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 109 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 110 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 111 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 112 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 113 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 114 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 115 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 116 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 117 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 118 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 119 / 137 ] simplifiying candidate # 1.785 * * * * [progress]: [ 120 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 121 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 122 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 123 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 124 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 125 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 126 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 127 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 128 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 129 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 130 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 131 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 132 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 133 / 137 ] simplifiying candidate #real (real->posit16 (/ (/ 4/3 PI) (- 1 (* v v))))) (sqrt (fma -6 (* v v) 2))))> 1.786 * * * * [progress]: [ 134 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 135 / 137 ] simplifiying candidate # 1.786 * * * * [progress]: [ 136 / 137 ] simplifiying candidate # 1.787 * * * * [progress]: [ 137 / 137 ] simplifiying candidate # 1.790 * [simplify]: Simplifying: (expm1 (/ 4/3 PI)) (log1p (/ 4/3 PI)) (- (log 4/3) (log PI)) (log (/ 4/3 PI)) (exp (/ 4/3 PI)) (/ (* (* 4/3 4/3) 4/3) (* (* PI PI) PI)) (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (cbrt (/ 4/3 PI)) (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (sqrt (/ 4/3 PI)) (sqrt (/ 4/3 PI)) (- 4/3) (- PI) (/ (* (cbrt 4/3) (cbrt 4/3)) (* (cbrt PI) (cbrt PI))) (/ (cbrt 4/3) (cbrt PI)) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt PI)) (/ (cbrt 4/3) (sqrt PI)) (/ (* (cbrt 4/3) (cbrt 4/3)) 1) (/ (cbrt 4/3) PI) (/ (sqrt 4/3) (* (cbrt PI) (cbrt PI))) (/ (sqrt 4/3) (cbrt PI)) (/ (sqrt 4/3) (sqrt PI)) (/ (sqrt 4/3) (sqrt PI)) (/ (sqrt 4/3) 1) (/ (sqrt 4/3) PI) (/ 1 (* (cbrt PI) (cbrt PI))) (/ 4/3 (cbrt PI)) (/ 1 (sqrt PI)) (/ 4/3 (sqrt PI)) (/ 1 1) (/ 4/3 PI) (/ 1 PI) (/ PI 4/3) (/ 4/3 (* (cbrt PI) (cbrt PI))) (/ 4/3 (sqrt PI)) (/ 4/3 1) (/ PI (cbrt 4/3)) (/ PI (sqrt 4/3)) (/ PI 4/3) (real->posit16 (/ 4/3 PI)) (expm1 (/ (/ 4/3 PI) (- 1 (* v v)))) (log1p (/ (/ 4/3 PI) (- 1 (* v v)))) (- (- (log 4/3) (log PI)) (log (- 1 (* v v)))) (- (log (/ 4/3 PI)) (log (- 1 (* v v)))) (log (/ (/ 4/3 PI) (- 1 (* v v)))) (exp (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ (* (* 4/3 4/3) 4/3) (* (* PI PI) PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (/ (* (* (/ 4/3 PI) (/ 4/3 PI)) (/ 4/3 PI)) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))) (* (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v))))) (cbrt (/ (/ 4/3 PI) (- 1 (* v v)))) (* (* (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (sqrt (/ (/ 4/3 PI) (- 1 (* v v)))) (- (/ 4/3 PI)) (- (- 1 (* v v))) (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (cbrt (/ 4/3 PI)) (cbrt (- 1 (* v v)))) (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (sqrt (- 1 (* v v)))) (/ (cbrt (/ 4/3 PI)) (sqrt (- 1 (* v v)))) (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) 1) (/ (cbrt (/ 4/3 PI)) (- 1 (* v v))) (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (+ (sqrt 1) v)) (/ (cbrt (/ 4/3 PI)) (- (sqrt 1) v)) (/ (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (+ 1 v)) (/ (cbrt (/ 4/3 PI)) (- 1 v)) (/ (sqrt (/ 4/3 PI)) (* (cbrt (- 1 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1) (/ (/ 4/3 (sqrt PI)) (- 1 (* v v))) (/ (/ 1 (sqrt PI)) (+ (sqrt 1) v)) (/ (/ 4/3 (sqrt PI)) (- (sqrt 1) v)) (/ (/ 1 (sqrt PI)) (+ 1 v)) (/ (/ 4/3 (sqrt PI)) (- 1 v)) (/ (/ 1 1) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (/ (/ 1 1) (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (/ (/ 1 1) 1) (/ (/ 4/3 PI) (- 1 (* v v))) (/ (/ 1 1) (+ (sqrt 1) v)) (/ (/ 4/3 PI) (- (sqrt 1) v)) (/ (/ 1 1) (+ 1 v)) (/ (/ 4/3 PI) (- 1 v)) (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (/ 1 1) (/ (/ 4/3 PI) (- 1 (* v v))) (/ 1 (+ (sqrt 1) v)) (/ (/ 4/3 PI) (- (sqrt 1) v)) (/ 1 (+ 1 v)) (/ (/ 4/3 PI) (- 1 v)) (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 1 PI) (cbrt (- 1 (* v v)))) (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v)))) (/ 4/3 1) (/ (/ 1 PI) (- 1 (* v v))) (/ 4/3 (+ (sqrt 1) v)) (/ (/ 1 PI) (- (sqrt 1) v)) (/ 4/3 (+ 1 v)) (/ (/ 1 PI) (- 1 v)) (/ 1 (- 1 (* v v))) (/ (- 1 (* v v)) (/ 4/3 PI)) (/ (/ 4/3 PI) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) 1) (/ (/ 4/3 PI) (+ (sqrt 1) v)) (/ (/ 4/3 PI) (+ 1 v)) (/ (- 1 (* v v)) (cbrt (/ 4/3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4/3 PI))) (/ (- 1 (* v v)) (/ (cbrt 4/3) (cbrt PI))) (/ (- 1 (* v v)) (/ (cbrt 4/3) (sqrt PI))) (/ (- 1 (* v v)) (/ (cbrt 4/3) PI)) (/ (- 1 (* v v)) (/ (sqrt 4/3) (cbrt PI))) (/ (- 1 (* v v)) (/ (sqrt 4/3) (sqrt PI))) (/ (- 1 (* v v)) (/ (sqrt 4/3) PI)) (/ (- 1 (* v v)) (/ 4/3 (cbrt PI))) (/ (- 1 (* v v)) (/ 4/3 (sqrt PI))) (/ (- 1 (* v v)) (/ 4/3 PI)) (/ (- 1 (* v v)) (/ 4/3 PI)) (/ (- 1 (* v v)) (/ 1 PI)) (/ (/ 4/3 PI) (- (pow 1 3) (pow (* v v) 3))) (/ (/ 4/3 PI) (- (* 1 1) (* (* v v) (* v v)))) (* (- 1 (* v v)) PI) (real->posit16 (/ (/ 4/3 PI) (- 1 (* v v)))) (/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2))) (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 1.794 * * [simplify]: iteration 0: 259 enodes 1.944 * * [simplify]: iteration 1: 620 enodes 2.327 * * [simplify]: iteration 2: 1653 enodes 2.600 * * [simplify]: iteration 3: 2001 enodes 2.912 * * [simplify]: iteration complete: 2001 enodes 2.913 * * [simplify]: Extracting #0: cost 147 inf + 0 2.915 * * [simplify]: Extracting #1: cost 538 inf + 44 2.917 * * [simplify]: Extracting #2: cost 655 inf + 8260 2.922 * * [simplify]: Extracting #3: cost 569 inf + 23285 2.930 * * [simplify]: Extracting #4: cost 346 inf + 59789 2.948 * * [simplify]: Extracting #5: cost 109 inf + 108228 2.971 * * [simplify]: Extracting #6: cost 2 inf + 138731 2.998 * * [simplify]: Extracting #7: cost 0 inf + 138950 3.035 * [simplify]: Simplified to: (expm1 (/ 4/3 PI)) (log1p (/ 4/3 PI)) (log (/ 4/3 PI)) (log (/ 4/3 PI)) (exp (/ 4/3 PI)) (/ 64/27 (* PI (* PI PI))) (* (cbrt (/ 4/3 PI)) (cbrt (/ 4/3 PI))) (cbrt (/ 4/3 PI)) (/ 64/27 (* PI (* PI PI))) (sqrt (/ 4/3 PI)) (sqrt (/ 4/3 PI)) -4/3 (- PI) (* (/ (cbrt 4/3) (cbrt PI)) (/ (cbrt 4/3) (cbrt PI))) (/ (cbrt 4/3) (cbrt PI)) (* (/ (cbrt 4/3) (sqrt PI)) (cbrt 4/3)) (/ (cbrt 4/3) (sqrt PI)) (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) PI) (/ (/ (sqrt 4/3) (cbrt PI)) (cbrt PI)) (/ (sqrt 4/3) (cbrt PI)) (/ (sqrt 4/3) (sqrt PI)) (/ (sqrt 4/3) (sqrt PI)) (sqrt 4/3) (/ (sqrt 4/3) PI) (/ (/ 1 (cbrt PI)) (cbrt PI)) (/ 4/3 (cbrt PI)) (/ 1 (sqrt PI)) (/ 4/3 (sqrt PI)) 1 (/ 4/3 PI) (/ 1 PI) (/ PI 4/3) (/ 4/3 (* (cbrt PI) (cbrt PI))) (/ 4/3 (sqrt PI)) 4/3 (/ PI (cbrt 4/3)) (/ PI (sqrt 4/3)) (/ PI 4/3) (real->posit16 (/ 4/3 PI)) (expm1 (/ 4/3 (* PI (- 1 (* v v))))) (log1p (/ 4/3 (* PI (- 1 (* v v))))) (log (/ 4/3 (* PI (- 1 (* v v))))) (log (/ 4/3 (* PI (- 1 (* v v))))) (log (/ 4/3 (* PI (- 1 (* v v))))) (exp (/ 4/3 (* PI (- 1 (* v v))))) (* (/ 4/3 (* 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v))))) (sqrt PI)) (/ (cbrt 4/3) (* (sqrt PI) (cbrt (- 1 (* v v))))) (* (/ (cbrt 4/3) (sqrt (- 1 (* v v)))) (/ (cbrt 4/3) (sqrt PI))) (/ (/ (cbrt 4/3) (sqrt PI)) (sqrt (- 1 (* v v)))) (* (/ (cbrt 4/3) (sqrt PI)) (cbrt 4/3)) (/ (/ (cbrt 4/3) (sqrt PI)) (- 1 (* v v))) (/ (/ (* (cbrt 4/3) (cbrt 4/3)) (+ 1 v)) (sqrt PI)) (/ (/ (cbrt 4/3) (sqrt PI)) (- 1 v)) (/ (/ (* (cbrt 4/3) (cbrt 4/3)) (+ 1 v)) (sqrt PI)) (/ (/ (cbrt 4/3) (sqrt PI)) (- 1 v)) (* (/ (cbrt 4/3) (cbrt (- 1 (* v v)))) (/ (cbrt 4/3) (cbrt (- 1 (* v v))))) (/ (/ (cbrt 4/3) PI) (cbrt (- 1 (* v v)))) (/ (* (cbrt 4/3) (cbrt 4/3)) (sqrt (- 1 (* v v)))) (/ (/ (cbrt 4/3) (sqrt (- 1 (* v v)))) PI) (* (cbrt 4/3) (cbrt 4/3)) (/ (/ (cbrt 4/3) PI) (- 1 (* v v))) (/ (* (cbrt 4/3) (cbrt 4/3)) (+ 1 v)) (/ (cbrt 4/3) (* (- 1 v) PI)) (/ (* (cbrt 4/3) (cbrt 4/3)) (+ 1 v)) (/ (cbrt 4/3) (* (- 1 v) PI)) (/ (sqrt 4/3) (* (* (cbrt PI) (cbrt (- 1 (* v v)))) (* (cbrt PI) (cbrt (- 1 (* v v)))))) (/ (sqrt 4/3) (* (cbrt PI) (cbrt (- 1 (* v v))))) (/ (/ (/ (sqrt 4/3) (cbrt PI)) (cbrt PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt 4/3) (sqrt (- 1 (* v v)))) (cbrt PI)) (/ (/ (sqrt 4/3) (cbrt PI)) (cbrt PI)) (/ (/ (sqrt 4/3) (cbrt PI)) (- 1 (* v v))) (/ (sqrt 4/3) (* (* (+ 1 v) (cbrt PI)) (cbrt PI))) (/ (/ (sqrt 4/3) (cbrt PI)) (- 1 v)) (/ (sqrt 4/3) (* (* (+ 1 v) (cbrt PI)) (cbrt PI))) (/ (/ (sqrt 4/3) (cbrt PI)) (- 1 v)) (/ (/ (/ (sqrt 4/3) (sqrt PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ (sqrt 4/3) (sqrt PI)) (cbrt (- 1 (* v v)))) (/ (/ (sqrt 4/3) (sqrt PI)) (sqrt (- 1 (* v v)))) (/ (/ (sqrt 4/3) (sqrt PI)) (sqrt (- 1 (* v v)))) (/ (sqrt 4/3) (sqrt PI)) (/ (/ (sqrt 4/3) (sqrt PI)) (- 1 (* v v))) (/ (/ (sqrt 4/3) (+ 1 v)) (sqrt PI)) (/ (sqrt 4/3) (* (- 1 v) (sqrt PI))) (/ (/ (sqrt 4/3) (+ 1 v)) (sqrt PI)) (/ (sqrt 4/3) (* (- 1 v) (sqrt PI))) (/ (sqrt 4/3) (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ (sqrt 4/3) PI) (cbrt (- 1 (* v v)))) (/ (sqrt 4/3) (sqrt (- 1 (* v v)))) (/ (/ (sqrt 4/3) PI) (sqrt (- 1 (* v v)))) (sqrt 4/3) (/ (/ (sqrt 4/3) PI) (- 1 (* v v))) (/ (sqrt 4/3) (+ 1 v)) (/ (/ (sqrt 4/3) PI) (- 1 v)) (/ (sqrt 4/3) (+ 1 v)) (/ (/ (sqrt 4/3) PI) (- 1 v)) (/ 1 (* (* (cbrt PI) (cbrt (- 1 (* v v)))) (* (cbrt PI) (cbrt (- 1 (* v v)))))) (/ (/ 4/3 (cbrt PI)) (cbrt (- 1 (* v v)))) (/ 1 (* (* (cbrt PI) (cbrt PI)) (sqrt (- 1 (* v v))))) (/ (/ 4/3 (cbrt PI)) (sqrt (- 1 (* v v)))) (/ (/ 1 (cbrt PI)) (cbrt PI)) (/ (/ 4/3 (cbrt PI)) (- 1 (* v v))) (/ (/ (/ 1 (cbrt PI)) (cbrt PI)) (+ 1 v)) (/ (/ 4/3 (cbrt PI)) (- 1 v)) (/ (/ (/ 1 (cbrt PI)) (cbrt PI)) (+ 1 v)) (/ (/ 4/3 (cbrt PI)) (- 1 v)) (/ (/ (/ 1 (sqrt PI)) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 (sqrt PI)) (cbrt (- 1 (* v v)))) (/ (/ 1 (sqrt PI)) (sqrt (- 1 (* v v)))) (/ 4/3 (* (sqrt (- 1 (* v v))) (sqrt PI))) (/ 1 (sqrt PI)) (/ (/ 4/3 (sqrt PI)) (- 1 (* v v))) (/ (/ 1 (sqrt PI)) (+ 1 v)) (/ (/ 4/3 (sqrt PI)) (- 1 v)) (/ (/ 1 (sqrt PI)) (+ 1 v)) (/ (/ 4/3 (sqrt PI)) (- 1 v)) (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) 1 (/ 4/3 (* PI (- 1 (* v v)))) (/ 1 (+ 1 v)) (/ (/ 4/3 (- 1 v)) PI) (/ 1 (+ 1 v)) (/ (/ 4/3 (- 1 v)) PI) (/ 1 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (/ 1 (sqrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) 1 (/ 4/3 (* PI (- 1 (* v v)))) (/ 1 (+ 1 v)) (/ (/ 4/3 (- 1 v)) PI) (/ 1 (+ 1 v)) (/ (/ 4/3 (- 1 v)) PI) (/ 4/3 (* (cbrt (- 1 (* v v))) (cbrt (- 1 (* v v))))) (/ 1 (* (cbrt (- 1 (* v v))) PI)) (/ 4/3 (sqrt (- 1 (* v v)))) (/ (/ 1 PI) (sqrt (- 1 (* v v)))) 4/3 (/ 1 (* PI (- 1 (* v v)))) (/ 4/3 (+ 1 v)) (/ (/ 1 PI) (- 1 v)) (/ 4/3 (+ 1 v)) (/ (/ 1 PI) (- 1 v)) (/ 1 (- 1 (* v v))) (* PI (/ (- 1 (* v v)) 4/3)) (/ (/ (/ 4/3 PI) (cbrt (- 1 (* v v)))) (cbrt (- 1 (* v v)))) (/ (/ 4/3 PI) (sqrt (- 1 (* v v)))) (/ 4/3 PI) (/ (/ 4/3 PI) (+ 1 v)) (/ (/ 4/3 PI) (+ 1 v)) (/ (- 1 (* v v)) (cbrt (/ 4/3 PI))) (/ (- 1 (* v v)) (sqrt (/ 4/3 PI))) (* (cbrt PI) (/ (- 1 (* v v)) (cbrt 4/3))) (* (/ (- 1 (* v v)) (cbrt 4/3)) (sqrt PI)) (* PI (/ (- 1 (* v v)) (cbrt 4/3))) (* (cbrt PI) (/ (- 1 (* v v)) (sqrt 4/3))) (/ (- 1 (* v v)) (/ (sqrt 4/3) (sqrt PI))) (/ (* (- 1 (* v v)) PI) (sqrt 4/3)) (* (- 3/4 (/ (* v v) 4/3)) (cbrt PI)) (* (sqrt PI) (/ (- 1 (* v v)) 4/3)) (* PI (/ (- 1 (* v v)) 4/3)) (* PI (/ (- 1 (* v v)) 4/3)) (* PI (- 1 (* v v))) (/ 4/3 (* (- 1 (* (* v v) (* (* v v) (* v v)))) PI)) (/ 4/3 (* PI (- 1 (* (* v v) (* v v))))) (* PI (- 1 (* v v))) (real->posit16 (/ 4/3 (* PI (- 1 (* v v))))) (/ (/ 4/3 PI) (* (sqrt (fma -6 (* v v) 2)) (- 1 (* v v)))) (fma 4/3 (/ (* v v) PI) (fma (/ (* (* v v) (* v v)) PI) 4/3 (/ 4/3 PI))) (- (+ (/ (/ 4/3 PI) (* (* v v) (* (* v v) (* v v)))) (fma (/ 4/3 PI) (/ 1 (* v v)) (/ (/ 4/3 PI) (* (* v v) (* v v)))))) (- (+ (/ (/ 4/3 PI) (* (* v v) (* (* v v) (* v v)))) (fma (/ 4/3 PI) (/ 1 (* v v)) (/ (/ 4/3 PI) (* (* v v) (* v v)))))) 3.058 * * * [progress]: adding candidates to table 4.332 * * [progress]: iteration 2 / 4 4.332 * * * [progress]: picking best candidate 4.334 * * * * [pick]: Picked # 4.334 * * * [progress]: localizing error 4.352 * * * [progress]: generating rewritten candidates 4.352 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 4.361 * * * [progress]: generating series expansions 4.361 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 4.361 * [backup-simplify]: Simplify (/ 4/3 (* PI (- 1 (* v v)))) into (/ 4/3 (* (- 1 (pow v 2)) PI)) 4.361 * [approximate]: Taking taylor expansion of (/ 4/3 (* (- 1 (pow v 2)) PI)) in (v) around 0 4.361 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (pow v 2)) PI)) in v 4.361 * [taylor]: Taking taylor expansion of 4/3 in v 4.361 * [backup-simplify]: Simplify 4/3 into 4/3 4.361 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 4.361 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 4.361 * [taylor]: Taking taylor expansion of 1 in v 4.361 * [backup-simplify]: Simplify 1 into 1 4.361 * [taylor]: Taking taylor expansion of (pow v 2) in v 4.361 * [taylor]: Taking taylor expansion of v in v 4.361 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [taylor]: Taking taylor expansion of PI in v 4.362 * [backup-simplify]: Simplify PI into PI 4.362 * [backup-simplify]: Simplify (+ 1 0) into 1 4.362 * [backup-simplify]: Simplify (* 1 PI) into PI 4.363 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 4.363 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (pow v 2)) PI)) in v 4.363 * [taylor]: Taking taylor expansion of 4/3 in v 4.363 * [backup-simplify]: Simplify 4/3 into 4/3 4.363 * [taylor]: Taking taylor expansion of (* (- 1 (pow v 2)) PI) in v 4.363 * [taylor]: Taking taylor expansion of (- 1 (pow v 2)) in v 4.363 * [taylor]: Taking taylor expansion of 1 in v 4.363 * [backup-simplify]: Simplify 1 into 1 4.363 * [taylor]: Taking taylor expansion of (pow v 2) in v 4.363 * [taylor]: Taking taylor expansion of v in v 4.363 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify 1 into 1 4.363 * [taylor]: Taking taylor expansion of PI in v 4.363 * [backup-simplify]: Simplify PI into PI 4.363 * [backup-simplify]: Simplify (+ 1 0) into 1 4.364 * [backup-simplify]: Simplify (* 1 PI) into PI 4.364 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 4.364 * [backup-simplify]: Simplify (/ 4/3 PI) into (/ 4/3 PI) 4.365 * [backup-simplify]: Simplify (+ 0 0) into 0 4.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 PI)) into 0 4.366 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)))) into 0 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify (* 1 1) into 1 4.366 * [backup-simplify]: Simplify (- 1) into -1 4.367 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1 PI))) into (- PI) 4.382 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ (- PI) PI)) (* 0 (/ 0 PI)))) into (* 4/3 (/ 1 PI)) 4.383 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 4.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.384 * [backup-simplify]: Simplify (- 0) into 0 4.384 * [backup-simplify]: Simplify (+ 0 0) into 0 4.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (* 0 PI)))) into 0 4.388 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 4/3 PI) (/ 0 PI)) (* 0 (/ (- PI) PI)) (* (* 4/3 (/ 1 PI)) (/ 0 PI)))) into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.390 * [backup-simplify]: Simplify (- 0) into 0 4.390 * [backup-simplify]: Simplify (+ 0 0) into 0 4.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI))))) into 0 4.399 * [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)) 4.399 * [backup-simplify]: Simplify (* 4/3 (/ 1 PI)) into (/ 4/3 PI) 4.401 * [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)))) 4.401 * [backup-simplify]: Simplify (/ 4/3 (* PI (- 1 (* (/ 1 v) (/ 1 v))))) into (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) 4.401 * [approximate]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in (v) around 0 4.401 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in v 4.401 * [taylor]: Taking taylor expansion of 4/3 in v 4.401 * [backup-simplify]: Simplify 4/3 into 4/3 4.401 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 4.401 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 4.401 * [taylor]: Taking taylor expansion of 1 in v 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 4.401 * [taylor]: Taking taylor expansion of (pow v 2) in v 4.401 * [taylor]: Taking taylor expansion of v in v 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (* 1 1) into 1 4.401 * [backup-simplify]: Simplify (/ 1 1) into 1 4.401 * [taylor]: Taking taylor expansion of PI in v 4.401 * [backup-simplify]: Simplify PI into PI 4.402 * [backup-simplify]: Simplify (- 1) into -1 4.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.402 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.403 * [backup-simplify]: Simplify (/ 4/3 (* -1 PI)) into (/ -4/3 PI) 4.403 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in v 4.403 * [taylor]: Taking taylor expansion of 4/3 in v 4.403 * [backup-simplify]: Simplify 4/3 into 4/3 4.403 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 4.403 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 4.403 * [taylor]: Taking taylor expansion of 1 in v 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 4.403 * [taylor]: Taking taylor expansion of (pow v 2) in v 4.403 * [taylor]: Taking taylor expansion of v in v 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.403 * [backup-simplify]: Simplify (* 1 1) into 1 4.404 * [backup-simplify]: Simplify (/ 1 1) into 1 4.404 * [taylor]: Taking taylor expansion of PI in v 4.404 * [backup-simplify]: Simplify PI into PI 4.404 * [backup-simplify]: Simplify (- 1) into -1 4.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.404 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.405 * [backup-simplify]: Simplify (/ 4/3 (* -1 PI)) into (/ -4/3 PI) 4.406 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 4.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.407 * [backup-simplify]: Simplify (- 0) into 0 4.407 * [backup-simplify]: Simplify (+ 0 0) into 0 4.407 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 4.408 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))))) into 0 4.408 * [backup-simplify]: Simplify 0 into 0 4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.409 * [backup-simplify]: Simplify (- 0) into 0 4.410 * [backup-simplify]: Simplify (+ 1 0) into 1 4.412 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 PI))) into PI 4.416 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (* 4/3 (/ 1 PI))) 4.417 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 4.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.419 * [backup-simplify]: Simplify (- 0) into 0 4.419 * [backup-simplify]: Simplify (+ 0 0) into 0 4.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 PI)))) into 0 4.421 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))) (* 0 (/ PI (* -1 PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (* -1 PI))))) into 0 4.421 * [backup-simplify]: Simplify 0 into 0 4.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.423 * [backup-simplify]: Simplify (- 0) into 0 4.423 * [backup-simplify]: Simplify (+ 0 0) into 0 4.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI))))) into 0 4.431 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (* 4/3 (/ 1 PI))) 4.433 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 4.435 * [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)))))) 4.435 * [backup-simplify]: Simplify (/ 4/3 (* PI (- 1 (* (/ 1 (- v)) (/ 1 (- v)))))) into (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) 4.436 * [approximate]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in (v) around 0 4.436 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in v 4.436 * [taylor]: Taking taylor expansion of 4/3 in v 4.436 * [backup-simplify]: Simplify 4/3 into 4/3 4.436 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 4.436 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 4.436 * [taylor]: Taking taylor expansion of 1 in v 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 4.436 * [taylor]: Taking taylor expansion of (pow v 2) in v 4.436 * [taylor]: Taking taylor expansion of v in v 4.436 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify 1 into 1 4.436 * [backup-simplify]: Simplify (* 1 1) into 1 4.436 * [backup-simplify]: Simplify (/ 1 1) into 1 4.436 * [taylor]: Taking taylor expansion of PI in v 4.436 * [backup-simplify]: Simplify PI into PI 4.436 * [backup-simplify]: Simplify (- 1) into -1 4.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.437 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.438 * [backup-simplify]: Simplify (/ 4/3 (* -1 PI)) into (/ -4/3 PI) 4.438 * [taylor]: Taking taylor expansion of (/ 4/3 (* (- 1 (/ 1 (pow v 2))) PI)) in v 4.438 * [taylor]: Taking taylor expansion of 4/3 in v 4.438 * [backup-simplify]: Simplify 4/3 into 4/3 4.438 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 (pow v 2))) PI) in v 4.438 * [taylor]: Taking taylor expansion of (- 1 (/ 1 (pow v 2))) in v 4.438 * [taylor]: Taking taylor expansion of 1 in v 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [taylor]: Taking taylor expansion of (/ 1 (pow v 2)) in v 4.438 * [taylor]: Taking taylor expansion of (pow v 2) in v 4.438 * [taylor]: Taking taylor expansion of v in v 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (* 1 1) into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.439 * [taylor]: Taking taylor expansion of PI in v 4.439 * [backup-simplify]: Simplify PI into PI 4.439 * [backup-simplify]: Simplify (- 1) into -1 4.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.439 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.440 * [backup-simplify]: Simplify (/ 4/3 (* -1 PI)) into (/ -4/3 PI) 4.440 * [backup-simplify]: Simplify (/ -4/3 PI) into (/ -4/3 PI) 4.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.442 * [backup-simplify]: Simplify (- 0) into 0 4.442 * [backup-simplify]: Simplify (+ 0 0) into 0 4.442 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 4.443 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))))) into 0 4.443 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.445 * [backup-simplify]: Simplify (- 0) into 0 4.445 * [backup-simplify]: Simplify (+ 1 0) into 1 4.447 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 1 PI))) into PI 4.451 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (* 4/3 (/ 1 PI))) 4.452 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 4.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (- 0) into 0 4.454 * [backup-simplify]: Simplify (+ 0 0) into 0 4.455 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (* 0 PI)))) into 0 4.458 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))) (* 0 (/ PI (* -1 PI))) (* (- (* 4/3 (/ 1 PI))) (/ 0 (* -1 PI))))) into 0 4.458 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.461 * [backup-simplify]: Simplify (- 0) into 0 4.461 * [backup-simplify]: Simplify (+ 0 0) into 0 4.463 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI))))) into 0 4.476 * [backup-simplify]: Simplify (- (/ 0 (* -1 PI)) (+ (* (/ -4/3 PI) (/ 0 (* -1 PI))) (* 0 (/ 0 (* -1 PI))) (* (- (* 4/3 (/ 1 PI))) (/ PI (* -1 PI))) (* 0 (/ 0 (* -1 PI))))) into (- (* 4/3 (/ 1 PI))) 4.478 * [backup-simplify]: Simplify (- (* 4/3 (/ 1 PI))) into (- (* 4/3 (/ 1 PI))) 4.483 * [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)))))) 4.483 * * * [progress]: simplifying candidates 4.483 * * * * [progress]: [ 1 / 29 ] simplifiying candidate # 4.483 * * * * [progress]: [ 2 / 29 ] simplifiying candidate # 4.483 * * * * [progress]: [ 3 / 29 ] simplifiying candidate # 4.483 * * * * [progress]: [ 4 / 29 ] simplifiying candidate # 4.483 * * * * [progress]: [ 5 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 6 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 7 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 8 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 9 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 10 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 11 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 12 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 13 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 14 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 15 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 16 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 17 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 18 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 19 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 20 / 29 ] simplifiying candidate # 4.484 * * * * [progress]: [ 21 / 29 ] simplifiying candidate # 4.485 * * * * [progress]: [ 22 / 29 ] simplifiying candidate # 4.485 * * * * [progress]: [ 23 / 29 ] simplifiying candidate # 4.485 * * * * [progress]: [ 24 / 29 ] simplifiying candidate # 4.485 * * * * [progress]: [ 25 / 29 ] simplifiying candidate # 4.485 * * * * [progress]: [ 26 / 29 ] simplifiying candidate #real (real->posit16 (/ 4/3 (* PI (- 1 (* v v)))))) (sqrt (fma -6 (* v v) 2))))> 4.485 * * * * [progress]: [ 27 / 29 ] simplifiying candidate # 4.485 * * * * [progress]: [ 28 / 29 ] simplifiying candidate # 4.485 * * * * [progress]: [ 29 / 29 ] simplifiying candidate # 4.486 * [simplify]: Simplifying: (expm1 (/ 4/3 (* PI (- 1 (* v v))))) (log1p (/ 4/3 (* PI (- 1 (* v v))))) (- (log 4/3) (+ (log PI) (log (- 1 (* v v))))) (- (log 4/3) (log (* PI (- 1 (* v v))))) (log (/ 4/3 (* PI (- 1 (* v v))))) (exp (/ 4/3 (* PI (- 1 (* v v))))) (/ (* (* 4/3 4/3) 4/3) (* (* (* PI PI) PI) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))))) (/ (* (* 4/3 4/3) 4/3) (* (* (* PI (- 1 (* v v))) (* PI (- 1 (* v v)))) (* PI (- 1 (* v v))))) (* (cbrt (/ 4/3 (* PI (- 1 (* v v))))) (cbrt (/ 4/3 (* PI (- 1 (* v v)))))) (cbrt (/ 4/3 (* PI (- 1 (* v v))))) (* (* (/ 4/3 (* PI (- 1 (* v v)))) (/ 4/3 (* PI (- 1 (* v v))))) (/ 4/3 (* PI (- 1 (* v v))))) (sqrt (/ 4/3 (* PI (- 1 (* v v))))) (sqrt (/ 4/3 (* PI (- 1 (* v v))))) (- 4/3) (- (* PI (- 1 (* v v)))) (/ (* (cbrt 4/3) (cbrt 4/3)) PI) (/ (cbrt 4/3) (- 1 (* v v))) (/ (sqrt 4/3) PI) (/ (sqrt 4/3) (- 1 (* v v))) (/ 1 PI) (/ 4/3 (- 1 (* v v))) (/ 1 (* PI (- 1 (* v v)))) (/ (* PI (- 1 (* v v))) 4/3) (/ 4/3 PI) (/ (* PI (- 1 (* v v))) (cbrt 4/3)) (/ (* PI (- 1 (* v v))) (sqrt 4/3)) (/ (* PI (- 1 (* v v))) 4/3) (/ 4/3 (* PI (- (pow 1 3) (pow (* v v) 3)))) (/ 4/3 (* PI (- (* 1 1) (* (* v v) (* v v))))) (real->posit16 (/ 4/3 (* PI (- 1 (* v v))))) (+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI)))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) (- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI)))))) 4.487 * * [simplify]: iteration 0: 88 enodes 4.541 * * [simplify]: iteration 1: 225 enodes 4.648 * * [simplify]: iteration 2: 827 enodes 4.918 * * [simplify]: iteration 3: 2007 enodes 5.312 * * [simplify]: iteration complete: 2007 enodes 5.312 * * [simplify]: Extracting #0: cost 26 inf + 0 5.313 * * [simplify]: Extracting #1: cost 212 inf + 1 5.314 * * [simplify]: Extracting #2: cost 478 inf + 1357 5.317 * * [simplify]: Extracting #3: cost 631 inf + 6353 5.327 * * [simplify]: Extracting #4: cost 349 inf + 67077 5.366 * * [simplify]: Extracting #5: cost 108 inf + 111258 5.419 * * [simplify]: Extracting #6: cost 14 inf + 124940 5.463 * * [simplify]: Extracting #7: cost 0 inf + 127995 5.492 * [simplify]: Simplified to: (expm1 (/ 4/3 (* (- 1 (* v v)) PI))) (log1p (/ 4/3 (* (- 1 (* v v)) PI))) (log (/ 4/3 (* (- 1 (* v v)) PI))) (log (/ 4/3 (* (- 1 (* v v)) PI))) (log (/ 4/3 (* (- 1 (* v v)) PI))) (exp (/ 4/3 (* (- 1 (* v v)) PI))) (/ (/ 64/27 (* (* (- 1 (* v v)) PI) (* (- 1 (* v v)) PI))) (* (- 1 (* v v)) PI)) (/ (/ 64/27 (* (* (- 1 (* v v)) PI) (* (- 1 (* v v)) PI))) (* (- 1 (* v v)) PI)) (* (cbrt (/ 4/3 (* (- 1 (* v v)) PI))) (cbrt (/ 4/3 (* (- 1 (* v v)) PI)))) (cbrt (/ 4/3 (* (- 1 (* v v)) PI))) (/ (/ 64/27 (* (* (- 1 (* v v)) PI) (* (- 1 (* v v)) PI))) (* (- 1 (* v v)) PI)) (sqrt (/ 4/3 (* (- 1 (* v v)) PI))) (sqrt (/ 4/3 (* (- 1 (* v v)) PI))) -4/3 (* PI (+ -1 (* v v))) (* (/ (cbrt 4/3) PI) (cbrt 4/3)) (/ (cbrt 4/3) (- 1 (* v v))) (/ (sqrt 4/3) PI) (/ (sqrt 4/3) (- 1 (* v v))) (/ 1 PI) (/ 4/3 (- 1 (* v v))) (/ (/ 1 PI) (- 1 (* v v))) (* (- 1 (* v v)) (/ PI 4/3)) (/ 4/3 PI) (* (/ PI (cbrt 4/3)) (- 1 (* v v))) (* (/ PI (sqrt 4/3)) (- 1 (* v v))) (* (- 1 (* v v)) (/ PI 4/3)) (/ (/ 4/3 PI) (- 1 (* (* v (* v v)) (* v (* v v))))) (/ 4/3 (* (- 1 (* (* v v) (* v v))) PI)) (real->posit16 (/ 4/3 (* (- 1 (* v v)) PI))) (+ (/ 4/3 (/ PI (* v v))) (fma 4/3 (/ (* v v) (/ PI (* v v))) (/ 4/3 PI))) (- (+ (/ (/ 4/3 PI) (* (* v (* v v)) (* v (* v v)))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (* (* v v) (* v v)))))) (- (+ (/ (/ 4/3 PI) (* (* v (* v v)) (* v (* v v)))) (+ (/ (/ 4/3 PI) (* v v)) (/ (/ 4/3 PI) (* (* v v) (* v v)))))) 5.494 * * * [progress]: adding candidates to table 5.743 * [progress]: [Phase 3 of 3] Extracting. 5.745 * [simplify]: Simplifying: (/ (/ 4/3 (* PI (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2))) 5.746 * * [simplify]: iteration 0: 13 enodes 5.746 * * [simplify]: iteration 1: 16 enodes 5.746 * * [simplify]: iteration complete: 16 enodes 5.746 * * [simplify]: Extracting #0: cost 1 inf + 0 5.747 * * [simplify]: Extracting #1: cost 3 inf + 0 5.747 * * [simplify]: Extracting #2: cost 6 inf + 0 5.747 * * [simplify]: Extracting #3: cost 10 inf + 1 5.747 * * [simplify]: Extracting #4: cost 9 inf + 4 5.747 * * [simplify]: Extracting #5: cost 7 inf + 6 5.747 * * [simplify]: Extracting #6: cost 3 inf + 365 5.747 * * [simplify]: Extracting #7: cost 1 inf + 652 5.747 * * [simplify]: Extracting #8: cost 0 inf + 953 5.747 * [simplify]: Simplified to: (/ (/ 4/3 (* (- 1 (* v v)) PI)) (sqrt (fma -6 (* v v) 2))) 9.141 * [regime-testing]: Baseline error score: 0.008824223340507708 9.143 * [regime-testing]: Oracle error score: 0.008824223340507708 9.143 * [regime-testing]: End program error score: 0.008824223340507708